Cued chains of responses

[From Bruce Abbott (991002.0755 EST)]

Bill Powers (991002.0618 MDT) --

As I understand your proposal, sequence control amounts to waiting for a
cue, and when it occurs, executing an associated behavior.

The proposed model was designed to produce a sequence of perceptions but it
is not specifically a proposal for sequence control. Sequence control may
occur under some conditions and behavioral chaining under others. If
behavior-produced cues reliably lead to the production of the required
sequence, sequence control may revert to behavioral chaining. Such may
often be the case for highly practiced sequences, freeing us from having to
explicitly monitor the sequence. Because the sequence itself is not
controlled, this stragegy can lead to unintended outcomes if certain
disturbances occur.

When the
behavior is finished, either it produces another cue or another one is
presented by an outside agency.

I don't recall saying anything about the part following the "or." For
simplicity, let's assume that the behavior itself produces the cue through
control action. The "response" to the cue is to set up control of another
perceptual signal, or to control the same perceptual signal to a new
reference value. The actions are those employed by each respective control
system to bring about the reference state ("cue").

So the model is one in which there is a

series of stimuli and responses, each response leading to, causing, or
being followed by the next stimulus.

The model is one in which there is a series of control processes, each of
which terminates when the controlled perception is brought to a
pre-specified state, the achievement of which triggers a switch to another
control process. I assume that the cue-process linkage is created by an
associative process and that the whole chain is held together by the fact
that it produces an end-state that is the ultimate goal for which the chain
exists as a means. Example: a rat pulls on a chain, causing a lever to
protrude from the wall, then approaches the lever and presses it, causing
food to be delivered into a cup, then approaches the cup, grabs the pellet,
and consumes it. Consumption of the pellet is the ultimate goal. All the
other actions can be seen as means of reaching that goal. Each behavioral
act normally produces a perceptual state that leads to the execution of the
next behavioral act.

If, under this last variant, the participant can still learn to produce a
required sequence of clicks on colors, we will have shown that the only
_repeatable_ aspect of this sequence is the sequence of perceptions, not
the sequence of actions. So cued chaining can't explain the result.

There is no fixed sequence of actions required by this proposal. It is more
like a treasure-hunt in which a person is directed by a written message to
"go to the big tree on the vacant lot." Proceeding there, he finds another
message tacked to the tree: "Walk down Walnut street to the third house from
the corner and look under the door mat." And so on until he reaches the
"treasure." What needs to be done next is specified by the cue (message)
found at each step.

Regards,

Bruce A.

[From Bruce Gregory (991103.1453 EDT)]

Consider the following story. You ask me how you can get to The Square.
I tell you to walk down Craigie Street until you come to Berkeley Street
and then turn left. Can't we say that the street sign at the
intersection of Craigie and Berkeley is a cue to stop walking down
Craigie and start walking down Berkeley? Sure, why not. However, in
order to predict what you will do at the intersection, I have to know
your intention. Many people arrive at the intersection and do _not_
change directions. The sign may or may not serve as a cue for them. I
prefer to think that as I was walking down Craigie, I was looking for
the sign, having determined that I would turn left at the intersection
the sign marks. I can look at this as carrying out a program "keep
walking unit you arrive at an intersection marked Craigie and Berkeley,
then turn left.

While not intersection
Do walk
Turn left

Bruce Gregory

[From Bill Powers (991103.1440 MDT);

Bruce Abbott (991002.0755 EST)--

The proposed model was designed to produce a sequence of perceptions but it
is not specifically a proposal for sequence control. Sequence control may
occur under some conditions and behavioral chaining under others. If
behavior-produced cues reliably lead to the production of the required
sequence, sequence control may revert to behavioral chaining.

Perhaps you should explain what you like about the concept of behavioral
chaining. As far as I can see, it is an explicitly stimulus-response idea,
in which the stimulus somehow causes or "triggers off" an action or pattern
of action, with no feedback effects during the process, and no
consideration of disturbances that alter the effects of the action. Are you
saying that there are types of behavior that always have the same result,
so that feedback control is unnecessary? The reason I am not impressed
with behavioral chaining is that I don't think it can possibly work as you
say it works (except, of course, in a special environment set up so that a
given action always has the same effect). We had better clear this up
before trying to go beyond this issue.

Best,

Bill P.

[From Bruce Abbott (991103.1955 EST)]

Bill Powers (991103.1440 MDT) --

Bruce Abbott (991002.0755 EST)

The proposed model was designed to produce a sequence of perceptions but it
is not specifically a proposal for sequence control. Sequence control may
occur under some conditions and behavioral chaining under others. If
behavior-produced cues reliably lead to the production of the required
sequence, sequence control may revert to behavioral chaining.

Perhaps you should explain what you like about the concept of behavioral
chaining. As far as I can see, it is an explicitly stimulus-response idea,
in which the stimulus somehow causes or "triggers off" an action or pattern
of action, with no feedback effects during the process, and no
consideration of disturbances that alter the effects of the action.

This is at best an incomplete, and at worst a downright misleading
characterization of the proposal. The sequence is executed open loop but
all the component perceptions of the sequence are produced by
fully-functionining hierarchically organized control systems whose
references specify the perceptions to be produced. Because these chained
control systems each will normally produce their required perceptions
despite disturbances, there will usually be nothing to disrupt the sequence.
That will happen only when an overwhelming disturbance occurs in one of the
component systems.

Are you
saying that there are types of behavior that always have the same result,
so that feedback control is unnecessary? The reason I am not impressed
with behavioral chaining is that I don't think it can possibly work as you
say it works (except, of course, in a special environment set up so that a
given action always has the same effect). We had better clear this up
before trying to go beyond this issue.

I believe that there are cases in which a sequence gets executed because
each system in the series gets "turned on" by a mechanism that recognizes
when the previous system in the sequence has produced the perception
specified by its reference. If such open-loop behavioral chains exist, they
would sometimes lead to failure to achieve the ultimate goal they were
organized to achieve. [In some examples, I view the entire sequence as
being executed in order to reach the final state, and is thus in essense the
output function of a control system organized to produce the final state.]
They would also sometimes lead to achieving that goal when it was not what
was intended, as when a person finds himself leaving work and arriving at
home, having intended to stop at the store instead. The proposal is
certainly testable, so we don't have to worry much about whether your are
"impressed" with it or not. Whether such systems do exist under certain
conditions is an empirical question, not one to be decided by your level of
impression.

This proposal aside, I am having some serious concerns about your proposal
for sequence control, as incompletely sketched in Chapter 11 of B:CP. I
think I can best make my concerns clear via a diagram, but right now I don't
have the time to create one. Therefore, I wonder if you would do me the
favor of creating your own diagram illustrating a sequence-control system
for producing the word "juice." Don't worry about the levels of control
below those that would set the references for producing "j," "oo", and "ss":
I will assume that those will return their respective perceptions by setting
the references of yet lower-level systems in the hierarchy. I know that it
can be done, but I'd like to see your solution. I'll be surprised if it
turns out to be as simple as you seem to think it will be.

Regards,

Bruce A.

[From Bill Powers (9911040522 MDT)]

Bruce Abbott (991103.1955 EST)--

Bruce:

The proposed model was designed to produce a sequence of perceptions but it
is not specifically a proposal for sequence control. Sequence control may
occur under some conditions and behavioral chaining under others. If
behavior-produced cues reliably lead to the production of the required
sequence, sequence control may revert to behavioral chaining.

Bill:
So you are proposing that there are two kinds of physical systems involved,
one open-loop and the other closed-loop. The appropriate type of system
gets turned on according to the specific conditions existing outside the
organism. As you describe it, sequence control is tried first, and then if
behavior-produced cues are found to lead reliably to production of the
"required" sequence, the sequence control systems are turned off and the
behavioral chaining systems are turned on. If the behavior-produced cues do
not by themselves lead reliably to the required sequence, then the sequence
control systems are left on, or turned on. I presume that these judgements
are made by some other system that is checking for reliability and choosing
one or the other kind of sequencing system as appropriate.

Bill:

Perhaps you should explain what you like about the concept of behavioral
chaining. As far as I can see, it is an explicitly stimulus-response idea,
in which the stimulus somehow causes or "triggers off" an action or pattern
of action, with no feedback effects during the process, and no
consideration of disturbances that alter the effects of the action.

Bruce:

This is at best an incomplete, and at worst a downright misleading
characterization of the proposal. The sequence is executed open loop but
all the component perceptions of the sequence are produced by
fully-functionining hierarchically organized control systems whose
references specify the perceptions to be produced.

Bill:
I think we both understand that you're proposing that up to some level, the
organization is a hierarchy of control systems, but above that level the
organization becomes open-loop (or not, depending on circumstances). We're
talking about the organization that does the sequencing of the lower-level
reference signals. That is the organization that seems to me to be an S-R
system: the cue is the stimulus, and the emitted reference signal is the
response of the proposed system, which does not affect the stimulus.

Bruce:

Because these chained
control systems each will normally produce their required perceptions
despite disturbances, there will usually be nothing to disrupt the sequence.
That will happen only when an overwhelming disturbance occurs in one of the
component systems.

Bill:
You're assuming that the only way a cue can occur is for the behavior that
normally causes it to occur. It may be true that if a reference signal is
sent that requires a certain action, an effect of that action that we call
a cue will reliably occur. But that says nothing about the cue occurring
without the action occurring, when the control system is turned off, which
is perfectly possible. Prior action implies occurrance of cue, but that
does not mean that occurrance of cue implies prior action.

Bruce:

I believe that there are cases in which a sequence gets executed because
each system in the series gets "turned on" by a mechanism that recognizes
when the previous system in the sequence has produced the perception
specified by its reference. If such open-loop behavioral chains exist, they
would sometimes lead to failure to achieve the ultimate goal they were
organized to achieve. [In some examples, I view the entire sequence as
being executed in order to reach the final state, and is thus in essense the
output function of a control system organized to produce the final state.]

Bill:
Watch out for "in essence." When you say that A is "in essence" B, you're
saying that A is not B. The final step of a sequence is not necessarily, or
even likely, the goal of the sequence-control system. When you sing "Mary
had a little lamb," the goal is to get the sequence right, not just to sing
"Lamb." If that were the goal you could accomplish it without going through
the preceding rigamarole. The final step of eating is to get food into your
stomach. Why, then, do people not just grind up the meal and ingest the
slurry by tube? It will end up that way anyhow. The answer is that eating
is a whole process, all or most parts of it being intended, and intended in
a certain order. Some people would be offended if offered dessert first.

Bruce:

They would also sometimes lead to achieving that goal when it was not what
was intended, as when a person finds himself leaving work and arriving at
home, having intended to stop at the store instead. The proposal is
certainly testable, so we don't have to worry much about whether your are
"impressed" with it or not. Whether such systems do exist under certain
conditions is an empirical question, not one to be decided by your level of
impression.

Bill:
This won't do, Bruce: you're saying that whether or not a _physical system_
exists depends on the particular external cirumstances. No wonder you like
the "programmed control" model. If that's your reason, then it's my reason
for not having adopted it. You can have a new theory for every situation,
and just claim that it's programmed. That's no better than explaining
everything as God's Will.

If there is a sequence-control level, then of course it must have a
provision for sending out reference signals in a specific sequence. That
would be part of its output function; the output functions of ALL control
systems are open-loop devices, converting error signals into outputs.

But the output function must be activated by some input signal, and in PCT
that input signal comes from a comparator that is continually comparing a
reference signal with a perceptual signal. At the sequence level, to be
consistent with the model in general, we must suppose that the perceptual
signal is not itself a sequence, but indicates by its presence that some
specific sequence is in progress. The detection of which sequence is in
progress is what the perceptual input function is supposed to accomplish.

For sequence control, the picture is more complicated, because somehow
there must be a coordination between the perceived progress of a sequence
and the emission of the next reference signal to lower systems. That is,
the output function must not be allowed to progress to the next element
until the previous step has resulted in _perception_ of the correct
element. So the perceptual function has to contain a specification for the
ordering of elements that is the same as the ordering built into the output
function. I don't like that; who sees to it that the two orderings are the
same? I have no good answer for that; obviously if we can assume that the
two orderings are the same, the design problem is trivial. But what makes
them the same? I would like an elegant answer to that before I claim to
have a model of this level.

In your proposal there really is no such thing as control of sequence.
Each element of a sequence is triggered off by some environmental cue
(presumably perceived), so whatever sequence occurs simply reflects the way
in which consequences of one behavior are environmentally linked to produce
a cue that the system can recognize. You can make an organism produce any
sequence of actions by rearranging the connections in its environment.

But true sequence control says that the organism will produce a particular
sequence of perceptions regardless of what cues (other than occurrance of
the controlled perception itself) are produced by what actions.
Specifically, the organism will continue to act until a specific perception
is received, and only then will progress to the next element of the preset
sequence.

The theory is not yet so detailed as to make general predictio0ns about
what will happen when disturbances occur, but we have a few preliminary
ideas. We know that often, if a sequence is disrupted, a person will go
back to the beginning and start it again. We know that if for some reason
carrying out the sequence fails to have the intended result at some higher
level, the sequence will be executed again in its entirety; it may even be
repeated endlessly until the desired higher-level effect occurs (I want ice
cream,I want ice cream,I want ice cream,I want ice cream,I want ice cream,I
want ice cream... until Mommy or Daddy gives in. The object is not so much
to get ice cream as to be the one in control).

Not every person has to be organized exactly the same, but we still need
experimental data to tell us what the model has to be able to accomplish.

Note that a control system designed as I so roughly suggest will behave
just like the system you propose when there are no disturbances.

Best,

Bill P.

[From Bruce Abbott (991104.1100 EST)]

Bill Powers (9911040522 MDT) --

Bruce Abbott (991103.1955 EST)

Bruce:

The proposed model was designed to produce a sequence of perceptions but it
is not specifically a proposal for sequence control. Sequence control may
occur under some conditions and behavioral chaining under others. If
behavior-produced cues reliably lead to the production of the required
sequence, sequence control may revert to behavioral chaining.

Bill:
So you are proposing that there are two kinds of physical systems involved,
one open-loop and the other closed-loop. The appropriate type of system
gets turned on according to the specific conditions existing outside the
organism. As you describe it, sequence control is tried first, and then if
behavior-produced cues are found to lead reliably to production of the
"required" sequence, the sequence control systems are turned off and the
behavioral chaining systems are turned on. If the behavior-produced cues do
not by themselves lead reliably to the required sequence, then the sequence
control systems are left on, or turned on. I presume that these judgements
are made by some other system that is checking for reliability and choosing
one or the other kind of sequencing system as appropriate.

I am suggesting that during practice an associative mechanism creates
linkages that make it possible for the system to move automatically from one
element to the next when the goal-state of the current element is achieved;
as this mechanism becomes reliable, the system can then begin to function in
an open-loop mode. As you suggest, a higher-level system would intervene if
the open-loop system failed.

I think we both understand that you're proposing that up to some level, the
organization is a hierarchy of control systems, but above that level the
organization becomes open-loop (or not, depending on circumstances). We're
talking about the organization that does the sequencing of the lower-level
reference signals. That is the organization that seems to me to be an S-R
system: the cue is the stimulus, and the emitted reference signal is the
response of the proposed system, which does not affect the stimulus.

O.K. I like this description much better than your previous one.

Because these chained
control systems each will normally produce their required perceptions
despite disturbances, there will usually be nothing to disrupt the sequence.
That will happen only when an overwhelming disturbance occurs in one of the
component systems.

You're assuming that the only way a cue can occur is for the behavior that
normally causes it to occur. It may be true that if a reference signal is
sent that requires a certain action, an effect of that action that we call
a cue will reliably occur. But that says nothing about the cue occurring
without the action occurring, when the control system is turned off, which
is perfectly possible. Prior action implies occurrance of cue, but that
does not mean that occurrance of cue implies prior action.

If the system is only looking for the cue to occur, then this would imply
that the occurrence of the cue, no matter how produced, would trigger the
next element in the sequence. Whether this actually happens in the real
biological system is an empirical question. If it doesn't, the proposal
would need to be modified.

I believe that there are cases in which a sequence gets executed because
each system in the series gets "turned on" by a mechanism that recognizes
when the previous system in the sequence has produced the perception
specified by its reference. If such open-loop behavioral chains exist, they
would sometimes lead to failure to achieve the ultimate goal they were
organized to achieve. [In some examples, I view the entire sequence as
being executed in order to reach the final state, and is thus in essense the
output function of a control system organized to produce the final state.]

Watch out for "in essence." When you say that A is "in essence" B, you're
saying that A is not B. The final step of a sequence is not necessarily, or
even likely, the goal of the sequence-control system.

I was trying to allow for two possible situations. In the first, it is the
sequence itself that is to be produced. In the second, producing the
sequence is a means of reaching another goal. It is the latter case, which
is referred to as a chain schedule, that aroused my initial interest in
sequences, because in a chain schedule, a particular sequence of acts must
occur, each producing a particular end-state, if the ultimate goal
(experiments, presumably the consumption of food) can be reached. The
sequence of left and right turns that carries an automobile from work to
home is another example. Completing the sequence gets the driver home,
which is his ultimate goal; completing the sequence of turns is merely one
means of doing so; producing the sequence itself is of interest only to the
extent that it produces this outcome.

When you sing "Mary
had a little lamb," the goal is to get the sequence right, not just to sing
"Lamb." If that were the goal you could accomplish it without going through
the preceding rigamarole. The final step of eating is to get food into your
stomach. Why, then, do people not just grind up the meal and ingest the
slurry by tube? It will end up that way anyhow. The answer is that eating
is a whole process, all or most parts of it being intended, and intended in
a certain order. Some people would be offended if offered dessert first.

You are arguing as if I had made the claim that in _all_ examples in which a
sequence is followed, the sequence is merely a means to some other end. As
I in fact made no such claim, I do not find the above examples problematic.

They would also sometimes lead to achieving that goal when it was not what
was intended, as when a person finds himself leaving work and arriving at
home, having intended to stop at the store instead. The proposal is
certainly testable, so we don't have to worry much about whether your are
"impressed" with it or not. Whether such systems do exist under certain
conditions is an empirical question, not one to be decided by your level of
impression.

This won't do, Bruce: you're saying that whether or not a _physical system_
exists depends on the particular external cirumstances. No wonder you like
the "programmed control" model. If that's your reason, then it's my reason
for not having adopted it. You can have a new theory for every situation,
and just claim that it's programmed. That's no better than explaining
everything as God's Will.

What won't do, Bill? I make no claims about the _existence_ of physical
systems depending on external circumstances. I am claiming that an
individual can deploy alternate strategies for producing a given outcome, as
circumstances require and permit. Some strategies require negative feedback
control to reliably produce a given sequence; others require only the
execution of a chained series of control actions, where the integrity of the
chain is reliably maintained by the ability of the lower-level control
systems to produce the necessary cues when called for. Again, whether the
proposal has any merit can be determined by empirical means.

I might add that, as HPCT includes a program level, then you, too, "can have
a new theory for every situation." If "that's no better htan explaining
everything as God's Will," then it is evident that you made a huge mistake
in positing a program level. You can't have it both ways, Bill. Both views
are cut by the same knife.

If there is a sequence-control level, then of course it must have a
provision for sending out reference signals in a specific sequence. That
would be part of its output function; the output functions of ALL control
systems are open-loop devices, converting error signals into outputs.

You and I both know that, but I am glad that you have made explicit mention
of it here. Some folks on this list need to be reminded of it from time to
time.

But the output function must be activated by some input signal, and in PCT
that input signal comes from a comparator that is continually comparing a
reference signal with a perceptual signal. At the sequence level, to be
consistent with the model in general, we must suppose that the perceptual
signal is not itself a sequence, but indicates by its presence that some
specific sequence is in progress. The detection of which sequence is in
progress is what the perceptual input function is supposed to accomplish.

Yes.

For sequence control, the picture is more complicated, because somehow
there must be a coordination between the perceived progress of a sequence
and the emission of the next reference signal to lower systems. That is,
the output function must not be allowed to progress to the next element
until the previous step has resulted in _perception_ of the correct
element. So the perceptual function has to contain a specification for the
ordering of elements that is the same as the ordering built into the output
function.

Exactly. This is what I discovered when I tried to imagine how such a
system would have to be constructed.

I don't like that; who sees to it that the two orderings are the
same? I have no good answer for that; obviously if we can assume that the
two orderings are the same, the design problem is trivial. But what makes
them the same? I would like an elegant answer to that before I claim to
have a model of this level.

I very much agree. The diagram I pictured (and hoped you would provide in
this reply) is one ugly monster. As you say, it raises some important
questions that thus far have gone unanswered.

Regards,

Bruce A.

[From Rick Marken (991104.0915]

Bill Powers (9911040522 MDT) --

For sequence control, the picture is more complicated, because
somehow there must be a coordination between the perceived
progress of a sequence and the emission of the next reference
signal to lower systems.

Bruce Abbott (991104.1100 EST)

Exactly. This is what I discovered when I tried to imagine
how such a system would have to be constructed.

Unfortunately, this "discovery" led you to turn from a control
of input to an S-R view of sequence control. But my "Hierarchy
of Perception and Control" demo (are you ever doing to try it?)
shows that a sequence can be controlled and this means that
the subject is controlling a perceptual representation of the
state of the sequence. I have built a simple control model
that controls a sequence perception and behaves just like the
subject in this experiment. This model was very simple because
error just has to be turned into a single output (keypress).

The problem Bill mentions above -- of building a system that
has to produce the sequence perception by emitting a sequence of
reference settings -- is certainly challenging and interesting.
But it doesn't mean that the phenomenon of sequence control is
S-R (cued chaining of responses). We already know that the
phenomenon of control of sequence involves control of input.

If you really want to make a contribution to the development
of PCT science (without testing for controlled variables, which
seems to be one of your high priority commitments) then maybe
you could work out the architecture for a sequence control model
that controls a perception of sequence by emitting a sequence of
references for lower level perceptions. That would be really
great.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates mailto: rmarken@earthlink.net
http://home.earthlink.net/~rmarken

[From Bill Powers (991104.0929 MDT)]

Bruce Abbott (991104.1100 EST)--

I very much agree. The diagram I pictured (and hoped you would provide in
this reply) is one ugly monster. As you say, it raises some important
questions that thus far have gone unanswered.

That is equally the case for the cued-chained-behaviors model. If the next
reference signal is concerned with turning left, how does it specify _how
much_ left the organism is to turn? Just turning in a way that would be
categorized as "left" allows for any amount of turn from 1 degree to 179
degrees. Does the cue come in various sizes, so each size is associated
with the correct degree of turn? And of course it fails to handle the case
of a cue occurring when it shouldn't, or failing to occur when it should.
At least the sequence control model has a perceptual function that can
report the state of the ongoing sequence. As long as the sequence is
occurring correctly, all that is required is a perception that the current
element has occurred, to keep the sequence going. In fact, the PCT model
would behave in a way that looks just like your cued-behavior model. The
difference would be seen only when disturbances occur that cause a problem
with production of the specified sequence. This is usually the case in
comparing SR with PCT models. If there are no disturbances, they behave the
same. It's only when there is a disturbance, and the system acts to resist
it, that you can tell it's not an open-loop system.

Best,

Bill P.

[From Rick Marken (991104.1045)]

Bruce Abbott (991104.1300 EST) --

I have done the demo...(I said that the demo uses the "e. coli"
method of control, remember?)

Sorry, don't remember. And, no, it's a regular, deterministic
control process, not e. coli.

Me:

The problem Bill mentions above -- of building a system that
has to produce the sequence perception by emitting a sequence of
reference settings -- is certainly challenging and interesting.

Bruce:

Yes. Guess who brought this "challenging and interesting"
problem to our attention.

Bill Powers. Probably starting about 40 years ago.

Me:

We already know that the phenomenon of control of sequence
involves control of input.

Bruce:

That is true by definition. However, reliable _production_ of
sequence may or may not require such control at the level at
which the sequence is orchestrated.

I have no idea what you're talking about. If the sequence is
controlled then it will be reliably produced. If the sequence
is not controlled then it can't be reliably produced in a
disturbance prone world. An uncontrolled sequence might
happen somewhat reliably (until disturbances are introduced)
as a side effect of controlling other variables. But who cares?
It's just a side effect of controlling, a fact that you could
have readily determined by testing for the controlled variable,
if you ever did that sort of thing.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates mailto: rmarken@earthlink.net
http://home.earthlink.net/~rmarken

[From Bruce Abbott (991104.1300 EST)]

Rick Marken (991104.0915) --

Bruce Abbott (991104.1100 EST)

Exactly. This is what I discovered when I tried to imagine
how such a system would have to be constructed.

Unfortunately, this "discovery" led you to turn from a control
of input to an S-R view of sequence control.

This is an inaccurate reconstruction of history. The subject of problems
with sequence control was taken up completely independently of my proposal
for the _possibility_ that under some conditions, sequences may be executed
as chains rather than as controlled results. What led to the "chains"
proposal was the observation that reliable sequences of behavior could get
executed even though apparently there was no sequence control per se. This
is certainly a logical possibility -- I see no difficulty building a model
that works like this. The only real question about it is empirical -- is
such a method for producing sequences actually used by real organisms?

But my "Hierarchy
of Perception and Control" demo (are you ever doing to try it?)
shows that a sequence can be controlled and this means that
the subject is controlling a perceptual representation of the
state of the sequence. I have built a simple control model
that controls a sequence perception and behaves just like the
subject in this experiment. This model was very simple because
error just has to be turned into a single output (keypress).

I have done the demo, I have described it, and I have already indicated that
I have no problem with such a process being a control process. (I said that
the demo uses the "e. coli" method of control, remember?)

The problem Bill mentions above -- of building a system that
has to produce the sequence perception by emitting a sequence of
reference settings -- is certainly challenging and interesting.

Yes. Guess who brought this "challenging and interesting" problem to our
attention.

But it doesn't mean that the phenomenon of sequence control is
S-R (cued chaining of responses).

I haven't disputed that. I've suggested that (1) sequences may be reliably
produced under some conditions in the absence of control of sequence, and
(2) a control system that produces a sequence perception by emitting a
sequence of reference settings (and other required control settings) is no
simple matter and raises some serious difficulties for which no attractive
solution appears currently to exist.

We already know that the
phenomenon of control of sequence involves control of input.

That is true by definition. However, reliable _production_ of sequence may
or may not require such control at the level at which the sequence is
orchestrated.

Regards,

Bruce A.

[From Bruce Gregory (991104.1343 EST)]

Bruce Abbott (991104.1300 EST)

That is true by definition. However, reliable _production_
of sequence may
or may not require such control at the level at which the sequence is
orchestrated.

Please remind me what problem led you to offer this solution? Was it
essentially your feeling that control of sequence is non-trivial? Since
you seem comfortable with the fact that control of sequence must exist,
what is motivating your search for an additional mechanism?

Bruce Gregory

[From Bill Powers (991104.1535 MDT)]

Bruce Abbott (991104.1300 EST)--

What led to the "chains"
proposal was the observation that reliable sequences of behavior could get
executed even though apparently there was no sequence control per se. This
is certainly a logical possibility -- I see no difficulty building a model
that works like this. The only real question about it is empirical -- is
such a method for producing sequences actually used by real organisms?

A sequence control system would behave just like the equivalent S-R system
if there were no disturbances. To test for sequence control, you'd have to
arrange for a behavior to produce the "wrong cue" -- a cue other than the
one that usually occurs, say a cue that would be expected at a different
place in the sequence. Given a cue from the wrong place in the sequence,
however, the SR system would simply produce the associated action, out of
sequence or not, while the control system would do something to try to get
the right element to occur -- for example, repeat the preceding action. Is
this how you determined that there was a reliable sequence produced without
any sequence control?

Another approach to testing for control of sequence is to have a subject
match an action to a target making a pattern of movements in sequence. If
the target movements are made moderately rapid, the participant will start
generating the sequence independently and gradually matching it to the
target sequence. Then, if the target sequence suddenly stops, the
participant will go on producing a few moves of the sequence anyway --
showing the reaction time involved in perceiving a change in sequence and
doing something about it, and also showing that the elements of the
sequence are being generated independently.

Best,

Bill P.

[From Bruce Abbott (991105.1215 EST)]

Bill Powers (991104.0929 MDT) --

Bruce Abbott (991104.1100 EST)

I very much agree. The diagram I pictured (and hoped you would provide in
this reply) is one ugly monster. As you say, it raises some important
questions that thus far have gone unanswered.

That is equally the case for the cued-chained-behaviors model. If the next
reference signal is concerned with turning left, how does it specify _how
much_ left the organism is to turn? Just turning in a way that would be
categorized as "left" allows for any amount of turn from 1 degree to 179
degrees. Does the cue come in various sizes, so each size is associated
with the correct degree of turn? And of course it fails to handle the case
of a cue occurring when it shouldn't, or failing to occur when it should.
At least the sequence control model has a perceptual function that can
report the state of the ongoing sequence.

This is not a problem for the behavioral chaining model, any more than for
the sequence-control model. Although I verbally described "turn left," we
all know what this means to real drivers. In the real-world case, the
driver is controlling a number of variables simultaneously, just as the
circles do in the crowd demo. These include such things as staying in the
proper lane, slowing sufficiently prior to the turn, and many others. You
are attempting to make the control system we are discussing do the work of
all these other systems. To simplify the discussion (where we are focusing
on the issue of generating the sequence) I have left them out, and for
current purposes that is appropriate.

As for the HPCT sequence-controller having a mechanism to report the state
of the sequence, it seems to me that the signal which this mechanism
generates is too ambiguous for the purpose. It begins with zero value and
increments by some amount as each perception in the sequence appears. A
moderate level of this signal at the end of the sequence may remain below
reference, but this by itself cannot inform the output function what part of
the sequence was incorrect. A moderate level of sequence-perception signal
could mean that elements A, B, and D appeared in proper sequence but that C
was missing, or that the proper elements occurred but in the wrong order, or
that four elements appeared, in proper order, except that C was replaced by
E. The output function cannot know which element needs attention.

As long as the sequence is
occurring correctly, all that is required is a perception that the current
element has occurred, to keep the sequence going. In fact, the PCT model
would behave in a way that looks just like your cued-behavior model. The
difference would be seen only when disturbances occur that cause a problem
with production of the specified sequence. This is usually the case in
comparing SR with PCT models. If there are no disturbances, they behave the
same. It's only when there is a disturbance, and the system acts to resist
it, that you can tell it's not an open-loop system.

Exactly so. I have suggested that this open-loop mode might develop under
conditions where such disturbances are unlikely. It would then work just as
well as sequence control but without the cognitive overhead. Because the
end-states that trigger shift to the next element in the sequence are the
references of controlled variables, they will occur unless the currently
active control system meets with an overwhelming disturbance.

Bill Powers (991104.1535 MDT) --

A sequence control system would behave just like the equivalent S-R system
if there were no disturbances. To test for sequence control, you'd have to
arrange for a behavior to produce the "wrong cue" -- a cue other than the
one that usually occurs, say a cue that would be expected at a different
place in the sequence. Given a cue from the wrong place in the sequence,
however, the SR system would simply produce the associated action, out of
sequence or not, while the control system would do something to try to get
the right element to occur -- for example, repeat the preceding action. Is
this how you determined that there was a reliable sequence produced without
any sequence control?

I haven't determined any such thing. I began this exercise by showing how a
reliable sequence might be produced in the absence of sequence control. I
said that the proposal is testable. You obviously agree, as you are now
suggesting tests that would discriminate the two modes of operation (open
and closed loop).

Another approach to testing for control of sequence is to have a subject
match an action to a target making a pattern of movements in sequence. If
the target movements are made moderately rapid, the participant will start
generating the sequence independently and gradually matching it to the
target sequence. Then, if the target sequence suddenly stops, the
participant will go on producing a few moves of the sequence anyway --
showing the reaction time involved in perceiving a change in sequence and
doing something about it, and also showing that the elements of the
sequence are being generated independently.

Independently of what?

It seems to me what what is going on in sequence control is that the
individual is recalling the what needs to be produced one element at a time
and then engaging in the actions required to bring about the element. If a
mismatch occurs between the element that appears and the one remembered, an
error is generated. Depending on circumstances, the individual may simply
attempt to continue (ignore the error) or may halt and attempt to correct
the element.

This description has a surface simplicity that obscures a considerable
complexity of organization required to carry it out. Important and
unanswered questions include the following: Just what is remembered? Do
these memories become reference perceptions or do they act as comparison
perceptions where the reference comparison is for identity (zero
difference), or are both organizations possible, for use under different
circumstances?

I haven't really even begun to puzzle through these possibilities, so I'm
not going to offer a detailed proposal for critique at this point. I offer
these rather vague sketches here to underscore the fact that there are many
alternative constructions that could be developed and tested.

Regards,

Bruce A.

[From Rick Marken (991105.1340)]

Bill Powers (991104.1535 MDT) --

A sequence control system would behave just like the equivalent
S-R system if there were no disturbances. To test for sequence
control, you'd have to arrange for a behavior to produce the
"wrong cue" -- a cue other than the one that usually occurs,
say a cue that would be expected at a different place in the
sequence...Is this how you determined that there was a reliable
sequence produced without any sequence control?

Bruce Abbott (991105.1215 EST)

I offer these rather vague sketches here to underscore the fact
that there are many alternative constructions that could be
developed and tested.

If you determine that a sequence is under control then
the only "alternative construction" is a control model that
controls a perceptual representation of the sequence. If a
sequence is produced reliably sans disturbance but not
with disturbance then the sequence is _not_ controlled; it is
simply an irrelevant (to the behaving system) side effect of
controlling some other variable(s).

Don't waste net bandwidth pointing out that there are
"alternative constructions" for explaining what you see
("sequential behavior") until you know what it is that
you see; in this case, whether you see a sequence that is
controlled or a sequence that is _not_ controlled.

The first step in your development of a theory of behavior
should always be the determination of the kind of behavior
you are dealing with: control or non-control. That is, the
first step in your theorizing should be the test for the
controlled variable. Since you never have taken this
step (and apparently never will take it), I think the
appropriate thing for you (and us) to do with your
theories of sequential behavior is to ignore them. This
would be true even if these theories were clear and complete
rather than sketchy and vague. Please come back when you've
got some relevant _data_.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates mailto: rmarken@earthlink.net
http://home.earthlink.net/~rmarken

[From Bill Powers (991105.1602 MDT)]
Rick Marken (991105.1340)--

The first step in your development of a theory of behavior
should always be the determination of the kind of behavior
you are dealing with: control or non-control. That is, the
first step in your theorizing should be the test for the
controlled variable.

A good reminder. It's really pointless for any of us to be proposing
detailed models before we have a phenomenon to model.

Best,

Bill P.

[From Bill Powers (991105.2340 MDT)]

Bruce Abbott (991105.1215 EST) --

Bruce Abbott (991104.1100 EST)
I very much agree. The diagram I pictured (and hoped you would provide in
this reply) is one ugly monster. As you say, it raises some important
questions that thus far have gone unanswered.

That is equally the case for the cued-chained-behaviors model. ...

This is not a problem for the behavioral chaining model, any more than for
the sequence-control model.

Somehow that seems to me to add up to "equally the case."

Although I verbally described "turn left," we
all know what this means to real drivers. In the real-world case, the
driver is controlling a number of variables simultaneously, just as the
circles do in the crowd demo. These include such things as staying in the
proper lane, slowing sufficiently prior to the turn, and many others. You
are attempting to make the control system we are discussing do the work of
all these other systems. To simplify the discussion (where we are focusing
on the issue of generating the sequence) I have left them out, and for
current purposes that is appropriate.

Is it? The systems you mention are subordinate to any system that sets
their reference levels; they must be told where on the road to stay, at
what point to start the turn, and so forth. I know what you have in mind:
the higher system, upon being cued, sets the reference signals for all the
lower systems required to execute a left turn. So whereas the lower systems
autonomously negotiate the turn, the system that tells them to do so is
simply triggered off by the cue.

I think you overlook the possibility that these other systems are in fact
sequence control systems, and that the system you imagine to be in charge
of them is not needed. And you also overlook the need of these analog
systems to be given _quantitative_ reference signals, not just on-off
reference signals. As you approach the street corner, at what point does
the lettering on the street sign suddenly become a "cue" and tell the other
systems to start the left turn? If the lettering becomes a cue too early,
you will turn before reaching the corner; if too late, you will miss the
corner. And for someone who is not going where you want to go, it should
not serve as a cue at all.

A system that is keeping the car in its proper lane during a turn is
obviously controlling the relationship of the cross-street to the car; in
other words, it is employing the same perceptions that you see as "cues."

Your way of conceiving this process is reflected in many other concepts of
behaviorism. For example, when a reinforcer occurs, it is said to increase
the probability that the behavior which led to the reinforcement will occur
again under the same circumstances. But that is only one of two choices of
how to interpret that situation. We might, alternatively, see the
reinforcer as being caused by the behavior, and see any increase in the
frequency of reinforcement as a consequence of an increase in the frequency
of the behavior that causes it. That is the interpretation that would be
preferred by anyone who sees the behavior as the organism's means of
controlling the delivery of reinforcements.

In a parallel way, we have a choice of seeing the cued behavior
differently. We can see a cue simply as a perceptual consequence of the
behavior that preceded it, rather than as a cause of the behavior that
follows it. Instead of seeing the chain as being grouped cue-behavior,
cue-behavior, we can see it as behavior-consequence, behavior-consequence,
with the consequences (which you call cues) being perceived. The organism,
under this view, selects the next consequence to be produced, and this
results in the actions that produce it. As soon as each selected
consequence is achieved, the next one in the sequence is selected. Thus the
sequence is directed by the organism's sequential selection of
reference-states, not by the environment. If a behavior is emitted that
results in the wrong next perception, the behavior will be changed to
maintain the same sequence, rather than the "wrong" cue simply leading to a
correspondingly "wrong" next behavior. That, incidentally, is the kind of
expeirmental test we need.

The behavior-chaining interpretation puts control of the sequence into the
environment. It depicts each behavior as being triggered off by the
preceding cue. The experimenter can determine the sequence by determining
what cue will be produced at the end of each behavior. This means that
there is no actual sequence control in the organism; if the experimenter
changes the cue that a given behavior will produce, and that cue has
previously become linked to another behavior, that other behavior will
occur. As far as the organism is concerned, each step in the sequence is a
simple independent S-R pair, unlinked to any other S-R pair. The only
sequence control is what happens in the experimenter as the series of cues
is set up.

As for the HPCT sequence-controller having a mechanism to report the state
of the sequence, it seems to me that the signal which this mechanism
generates is too ambiguous for the purpose.

If you want to propose a mechanism that is too ambiguous, you can. Why not
propose one that is adequate, once you know what is needed? Mechanisms are
a dime a dozen; what matters, as Rick keeps reminding us, is to define what
the model has to do. Among other things, it has to provide for a person
being able to say, "Wait just a minute, I'm almost through with [this
sequence]." In order to say that, the person must be able to perceive the
progress of the sequence.
Of course other information is needed, too, to allow the person to know
when one step has been finished and the next one can be initiated. And the
person must be able to detect when a wrong sequence step has occurred, so
as to be able to correct the error. Assuming, of course, that people do
make mistakes and that they do correct them.

It begins with zero value and
increments by some amount as each perception in the sequence appears. A
moderate level of this signal at the end of the sequence may remain below
reference, but this by itself cannot inform the output function what part of
the sequence was incorrect.

Then that is not what this kind of perception is for. But some such
perception is needed, because people can judge, I claim, whether they are
near the beginning, middle, or end of a sequence in progress.

A moderate level of sequence-perception signal
could mean that elements A, B, and D appeared in proper sequence but that C
was missing, or that the proper elements occurred but in the wrong order, or
that four elements appeared, in proper order, except that C was replaced by
E. The output function cannot know which element needs attention.

No, but the control system can be designed to behave appropriately (i.e.,
as real subjects do) under these various sequence errors. If a person
restarts the sequence for any error whatsoever, we can design a system to
do that. If the person will tolerate one or more errors and press on to the
next element, we can design a system to do that, too. The design is not a
problem; the problem is to find out what people really do. Maybe different
people do things differently; in that case we would have to model them
differently.

As long as the sequence is
occurring correctly, all that is required is a perception that the current
element has occurred, to keep the sequence going. In fact, the PCT model
would behave in a way that looks just like your cued-behavior model. The
difference would be seen only when disturbances occur that cause a problem
with production of the specified sequence. This is usually the case in
comparing SR with PCT models. If there are no disturbances, they behave the
same. It's only when there is a disturbance, and the system acts to resist
it, that you can tell it's not an open-loop system.

Exactly so. I have suggested that this open-loop mode might develop under
conditions where such disturbances are unlikely.

That is not sufficient. If a sequence has been progressing without error,
how do you know that the first error is not about to occur? And anyway, the
idea of a sequence error doesn't even apply in the cued-behavior model --
the only error that can occur is responding in the wrong way to whatever
cue occurs.

The design issues we're talking about can't be settled in an ad-hoc way;
each involves considerable complexities so that a neural substrate suitable
for one kind of system would not be suitable for the other. Sequence
control versus cued chaining is a design difference that would result from
evolving along very different lines. The concept of an open-loop response
gets into prediction and modeling of the lower systems and the environment,
and all the complexities implied by that inverse-dynamics,
inverse-kinematics, world-modeling approach. A control system organization
accomplishes the same overall effects, but in a far simpler and
structurally very different way. I just don't think it's a tenable idea to
say that the organism adopts whichever strategy works for it. Once you've
committed to one organization, I think you've ruled out the other.

It would then work just as
well as sequence control but without the cognitive overhead. Because the
end-states that trigger shift to the next element in the sequence are the
references of controlled variables, they will occur unless the currently
active control system meets with an overwhelming disturbance.

There is nothing to say that those cues are the reference-states of
controlled variables. In fact, they are not. The cue that triggers off the
next behavior is not the reference state to be achieved by the next
behavior, but the final state of the world generated by the previous
behavior. If it's the reference state of anything, it's the reference state
of the variable controlled by the previous behavior. If a rat has to press
a bar 10 times to turn on a light, under your proposal the state of the
light is at best the controlled variable of the system that does the
pressing. It is not the controlled variable of the next system to come into
play, the one that presses a different lever when the light is on to get
food. The cue is simply a signal for the next process to start, and is
unaffected by the next process; it's generally gone, or irrelevant, by the
time the next process has started.

Is
this how you determined that there was a reliable sequence produced without
any sequence control?

I haven't determined any such thing.

I was misled by your speaking as if you knew that reliable
sequence-production could occur open-loop. I now understand that you were
only conjecturing that it might be possible.

I began this exercise by showing how a
reliable sequence might be produced in the absence of sequence control. I
said that the proposal is testable. You obviously agree, as you are now
suggesting tests that would discriminate the two modes of operation (open
and closed loop).

Yes.

.. showing the reaction time involved in perceiving a change in sequence and
doing something about it, and also showing that the elements of the
sequence are being generated independently.

Independently of what?

Of the environment. When the person repeats part of the sequence after the
target movement has stopped, this shows that there is a sequence-generator
inside the person. We also know that from the fact that prior to the
target's stopping, the person is matching movements to the target movements
at a speed too great for simple tracking to work.

It seems to me what what is going on in sequence control is that the
individual is recalling [the] what needs to be produced one element at a time
and then engaging in the actions required to bring about the element.

That's what I mean by independent generation of the sequence. Storage of
the sequence in memory is one basis for producing a sequence that is not
being driven by present-time target movements.

If a
mismatch occurs between the element that appears and the one remembered, an
error is generated. Depending on circumstances, the individual may simply
attempt to continue (ignore the error) or may halt and attempt to correct
the element.

Right.

This description has a surface simplicity that obscures a considerable
complexity of organization required to carry it out. Important and
unanswered questions include the following: Just what is remembered? Do
these memories become reference perceptions or do they act as comparison
perceptions where the reference comparison is for identity (zero
difference), or are both organizations possible, for use under different
circumstances?

Sorry, I have no idea what that means. How is a reference perception
different from a comparison perception?

I haven't really even begun to puzzle through these possibilities, so I'm
not going to offer a detailed proposal for critique at this point. I offer
these rather vague sketches here to underscore the fact that there are many
alternative constructions that could be developed and tested.

Right, but we're not just pursuing them at random. The control architecture
is very different from an open-loop architecture for doing the same thing,
so the alternatives are mutually exclusive. What we are looking for are
experiments that will rule out one in favor of the other.

Best,

Bill P.

[From Bruce Abbott (991109.2015 EST)]

Bill Powers (991105.2340 MDT) --

Bruce Abbott (991105.1215 EST)

Bruce Abbott (991104.1100 EST)

I very much agree. The diagram I pictured (and hoped you would provide in
this reply) is one ugly monster. As you say, it raises some important
questions that thus far have gone unanswered.

That is equally the case for the cued-chained-behaviors model. ...

This is not a problem for the behavioral chaining model, any more than for
the sequence-control model.

Somehow that seems to me to add up to "equally the case."

It adds up to "equally NOT the case." (You and I were referring to a
specific problem, not 'some important questions' as the context supplied
above unfortunately suggests.)

Although I verbally described "turn left," we
all know what this means to real drivers. In the real-world case, the
driver is controlling a number of variables simultaneously, just as the
circles do in the crowd demo. These include such things as staying in the
proper lane, slowing sufficiently prior to the turn, and many others. You
are attempting to make the control system we are discussing do the work of
all these other systems. To simplify the discussion (where we are focusing
on the issue of generating the sequence) I have left them out, and for
current purposes that is appropriate.

Is it? The systems you mention are subordinate to any system that sets
their reference levels; they must be told where on the road to stay, at
what point to start the turn, and so forth. I know what you have in mind:
the higher system, upon being cued, sets the reference signals for all the
lower systems required to execute a left turn. So whereas the lower systems
autonomously negotiate the turn, the system that tells them to do so is
simply triggered off by the cue.

O.K.

I think you overlook the possibility that these other systems are in fact
sequence control systems, and that the system you imagine to be in charge
of them is not needed. And you also overlook the need of these analog
systems to be given _quantitative_ reference signals, not just on-off
reference signals. As you approach the street corner, at what point does
the lettering on the street sign suddenly become a "cue" and tell the other
systems to start the left turn? If the lettering becomes a cue too early,
you will turn before reaching the corner; if too late, you will miss the
corner. And for someone who is not going where you want to go, it should
not serve as a cue at all.

If the "cue" indicates that one should turn at the next intersection, I
don't see any problem. Also, one can be maintaining some variables within a
particular range of values independently of the system orchestrating when
one should turn or go straight. It's a massively parallel system. So I can
have a system that keeps the car centered in its lane, and this system will
continue to do its job whether some other system orders a left turn or not.
One can have a system that controls the centripital force experienced by
adjusting the speed of the auto according to the sharpness of the turning
angle, and so on. I don't see that these systems must be receiving their
references from the system that is setting references for turning here and
going straight there.

A system that is keeping the car in its proper lane during a turn is
obviously controlling the relationship of the cross-street to the car; in
other words, it is employing the same perceptions that you see as "cues."

Your way of conceiving this process is reflected in many other concepts of
behaviorism. For example, when a reinforcer occurs, it is said to increase
the probability that the behavior which led to the reinforcement will occur
again under the same circumstances.

Another way of stating this is that the system will begin to reorganize so
as to control for the perception of the reinforcer. The organism _wants_
the reinforcer and reorganizes so as to be able to produce it on demand.

But that is only one of two choices of
how to interpret that situation. We might, alternatively, see the
reinforcer as being caused by the behavior, and see any increase in the
frequency of reinforcement as a consequence of an increase in the frequency
of the behavior that causes it. That is the interpretation that would be
preferred by anyone who sees the behavior as the organism's means of
controlling the delivery of reinforcements.

If what I stated above is correct, then your dichotomy is false. Control
gets established because the reinforcer is desired, and reorganization
occurs until that desire is fulfilled (if that is possible under the
circumstances). The pellet appears because the behavior produces it (the
behavior is the cause of the reinforcer), but the control system exists
because the rat wanted the pellet, and reorganized until its behavior
produced it.

In a parallel way, we have a choice of seeing the cued behavior
differently. We can see a cue simply as a perceptual consequence of the
behavior that preceded it, rather than as a cause of the behavior that
follows it. Instead of seeing the chain as being grouped cue-behavior,
cue-behavior, we can see it as behavior-consequence, behavior-consequence,
with the consequences (which you call cues) being perceived. The organism,
under this view, selects the next consequence to be produced,

Yes, but this leaves unanswered why the organism makes any particular
selection. I would say that it does so because it has learned that a
particular selection makes further action possible, which eventually leads
to a desired perceptual state. If following those selections reliably leads
to the desired end-state, then with practice the "decisions" will become
automatic and stimulus-bound.

and this
results in the actions that produce it. As soon as each selected
consequence is achieved, the next one in the sequence is selected. Thus the
sequence is directed by the organism's sequential selection of
reference-states, not by the environment. If a behavior is emitted that
results in the wrong next perception, the behavior will be changed to
maintain the same sequence, rather than the "wrong" cue simply leading to a
correspondingly "wrong" next behavior.

Yes, I'm not disputing that. I'm suggesting that under certain conditions
the organism may default to the simpler process of using the cues as they
arise consequent on the control processes that produce them as the souces of
the next reference values.

That, incidentally, is the kind of
expeirmental test we need.

Yes, clearly so. I think I've mentioned this myself in an earlier post on
this topic.

The behavior-chaining interpretation puts control of the sequence into the
environment. It depicts each behavior as being triggered off by the
preceding cue. The experimenter can determine the sequence by determining
what cue will be produced at the end of each behavior. This means that
there is no actual sequence control in the organism; if the experimenter
changes the cue that a given behavior will produce, and that cue has
previously become linked to another behavior, that other behavior will
occur. As far as the organism is concerned, each step in the sequence is a
simple independent S-R pair, unlinked to any other S-R pair. The only
sequence control is what happens in the experimenter as the series of cues
is set up.

That is correct.

As for the HPCT sequence-controller having a mechanism to report the state
of the sequence, it seems to me that the signal which this mechanism
generates is too ambiguous for the purpose.

If you want to propose a mechanism that is too ambiguous, you can. Why not
propose one that is adequate, once you know what is needed?

Pardon me? The mechanism I described is _your_ proposal, not mine. So, why
don't you ask yourself that question? (:->

Mechanisms are
a dime a dozen; what matters, as Rick keeps reminding us, is to define what
the model has to do. Among other things, it has to provide for a person
being able to say, "Wait just a minute, I'm almost through with [this
sequence]." In order to say that, the person must be able to perceive the
progress of the sequence.

Of course other information is needed, too, to allow the person to know
when one step has been finished and the next one can be initiated.

Like, for instance, the appearance of what I've been calling a "cue?"

And the
person must be able to detect when a wrong sequence step has occurred, so
as to be able to correct the error. Assuming, of course, that people do
make mistakes and that they do correct them.

Yes, I noted this somewhat later in the post. (See below.)

It begins with zero value and
increments by some amount as each perception in the sequence appears. A
moderate level of this signal at the end of the sequence may remain below
reference, but this by itself cannot inform the output function what part of
the sequence was incorrect.

Then that is not what this kind of perception is for.

It is what you proposed for sequence control in B:CP and it is the variable
Rick so confidently pointed to when asserting that sequence control is based
on a scalar variable whose intensity indicates the degree of error in the
sequence.

But some such
perception is needed, because people can judge, I claim, whether they are
near the beginning, middle, or end of a sequence in progress.

This only tells me that people can perceive the sequence in memory and
locate where they currently are in the remembered sequence.

A moderate level of sequence-perception signal
could mean that elements A, B, and D appeared in proper sequence but that C
was missing, or that the proper elements occurred but in the wrong order, or
that four elements appeared, in proper order, except that C was replaced by
E. The output function cannot know which element needs attention.

No, but the control system can be designed to behave appropriately (i.e.,
as real subjects do) under these various sequence errors. If a person
restarts the sequence for any error whatsoever, we can design a system to
do that. If the person will tolerate one or more errors and press on to the
next element, we can design a system to do that, too. The design is not a
problem; the problem is to find out what people really do. Maybe different
people do things differently; in that case we would have to model them
differently.

Well, I can certainly agree with that! I see no trouble designing a system
that will behave appropriately, once we know what that is. What I was
having problems with is the specific proposal made in B:CP, which seems
incapable of doing the job as I see it.

As long as the sequence is
occurring correctly, all that is required is a perception that the current
element has occurred, to keep the sequence going. In fact, the PCT model
would behave in a way that looks just like your cued-behavior model. The
difference would be seen only when disturbances occur that cause a problem
with production of the specified sequence. This is usually the case in
comparing SR with PCT models. If there are no disturbances, they behave the
same. It's only when there is a disturbance, and the system acts to resist
it, that you can tell it's not an open-loop system.

Exactly so. I have suggested that this open-loop mode might develop under
conditions where such disturbances are unlikely.

That is not sufficient. If a sequence has been progressing without error,
how do you know that the first error is not about to occur?

Why would I have to? Does your sequence-controller know when an error is
"about to occur"? No. So what's the point?

And anyway, the
idea of a sequence error doesn't even apply in the cued-behavior model --
the only error that can occur is responding in the wrong way to whatever
cue occurs.

Right!

The design issues we're talking about can't be settled in an ad-hoc way;
each involves considerable complexities so that a neural substrate suitable
for one kind of system would not be suitable for the other. Sequence
control versus cued chaining is a design difference that would result from
evolving along very different lines. The concept of an open-loop response
gets into prediction and modeling of the lower systems and the environment,
and all the complexities implied by that inverse-dynamics,
inverse-kinematics, world-modeling approach.

You keep slipping this in. It's not relevant. Only the initiation of the
next element in the sequence is carried out open loop in my proposal. We're
talking stimulus-reference, not stimulus-response, and the problems of
inverse-dynamics etc. do not enter in.

A control system organization
accomplishes the same overall effects, but in a far simpler and
structurally very different way.

If sequences _can_ be produced as my proposal suggests (which is not the
same as saying that they _are generally_ produced that way), it is actually
simpler than sequence-control, requiring less cognitive overhead. If it
does occur, the reduced cognitive load it permits would be the reason why
such a method evolved.

I just don't think it's a tenable idea to
say that the organism adopts whichever strategy works for it. Once you've
committed to one organization, I think you've ruled out the other.

Well, that's one place where we strongly disagree.

It would then work just as
well as sequence control but without the cognitive overhead. Because the
end-states that trigger shift to the next element in the sequence are the
references of controlled variables, they will occur unless the currently
active control system meets with an overwhelming disturbance.

There is nothing to say that those cues are the reference-states of
controlled variables. In fact, they are not. The cue that triggers off the
next behavior is not the reference state to be achieved by the next
behavior, but the final state of the world generated by the previous
behavior. If it's the reference state of anything, it's the reference state
of the variable controlled by the previous behavior. If a rat has to press
a bar 10 times to turn on a light, under your proposal the state of the
light is at best the controlled variable of the system that does the
pressing. It is not the controlled variable of the next system to come into
play, the one that presses a different lever when the light is on to get
food. The cue is simply a signal for the next process to start, and is
unaffected by the next process; it's generally gone, or irrelevant, by the
time the next process has started.

Perhaps I did not make this sufficiently clear. In my proposal, the "cue"
serves as a _retrieval_ cue for associative memory; it retrieves the
parameters required to set up the next control process in the sequence
(e.g., the reference value).

Is
this how you determined that there was a reliable sequence produced without
any sequence control?

I haven't determined any such thing.

I was misled by your speaking as if you knew that reliable
sequence-production could occur open-loop. I now understand that you were
only conjecturing that it might be possible.

Yes.

I began this exercise by showing how a
reliable sequence might be produced in the absence of sequence control. I
said that the proposal is testable. You obviously agree, as you are now
suggesting tests that would discriminate the two modes of operation (open
and closed loop).

Yes.

.. showing the reaction time involved in perceiving a change in sequence and
doing something about it, and also showing that the elements of the
sequence are being generated independently.

Independently of what?

Of the environment. When the person repeats part of the sequence after the
target movement has stopped, this shows that there is a sequence-generator
inside the person.

If the cues arise as a result of completion of each behavioral act, then the
sequence would continue under the open-loop proposal as well.

We also know that from the fact that prior to the
target's stopping, the person is matching movements to the target movements
at a speed too great for simple tracking to work.

Please explain.

It seems to me what what is going on in sequence control is that the
individual is recalling [the] what needs to be produced one element at a time
and then engaging in the actions required to bring about the element.

That's what I mean by independent generation of the sequence. Storage of
the sequence in memory is one basis for producing a sequence that is not
being driven by present-time target movements.

Good, we're thinking along the same lines here. Keep in mind, however, that
at this point I'm speculating about how sequence _control_ might work, not
cued behavioral chains.

If a
mismatch occurs between the element that appears and the one remembered, an
error is generated. Depending on circumstances, the individual may simply
attempt to continue (ignore the error) or may halt and attempt to correct
the element.

Right.

This description has a surface simplicity that obscures a considerable
complexity of organization required to carry it out. Important and
unanswered questions include the following: Just what is remembered? Do
these memories become reference perceptions or do they act as comparison
perceptions where the reference comparison is for identity (zero
difference), or are both organizations possible, for use under different
circumstances?

Sorry, I have no idea what that means. How is a reference perception
different from a comparison perception?

If a sequence of perceptions is being read out of memory, this may _supply_
the references for the lower-order systems. Alternatively, the sequence of
memory-perceptions may be compared in real time to the arriving sequence of
perceptions; the output of the perceptual function would be a series of
same-different judgements. The reference of this system might be for
"same," in which case a "different" perception would generate an immediate
error when it occurred.

I haven't really even begun to puzzle through these possibilities, so I'm
not going to offer a detailed proposal for critique at this point. I offer
these rather vague sketches here to underscore the fact that there are many
alternative constructions that could be developed and tested.

Right, but we're not just pursuing them at random. The control architecture
is very different from an open-loop architecture for doing the same thing,
so the alternatives are mutually exclusive. What we are looking for are
experiments that will rule out one in favor of the other.

Again, I don't agree that the architecture has to be either/or. I
understand that this violates one of the HPCT design principles and that it
should not be accepted without solid empirical evidence. But it is a
testable proposition, and seems consistent with some of my own inner experience.

Regards,

Bruce

[From Bruce Gregory (991109.2115 EST)]

Bruce Abbott (991109.2015 EST)

Bill:

Your way of conceiving this process is reflected in many other concepts of
behaviorism. For example, when a reinforcer occurs, it is said to increase
the probability that the behavior which led to the reinforcement will occur
again under the same circumstances.

Bruce A.:

Another way of stating this is that the system will begin to reorganize so
as to control for the perception of the reinforcer. The organism _wants_
the reinforcer and reorganizes so as to be able to produce it on demand.

Me:

Your statement may be many things, but it is _not_ another way of saying
what Bill said about reinforcement. Controlling a perception does _not_
involve mindlessly repeating the same actions that led to reinforcement in
the first place.

Bruce A.:

Yes, I'm not disputing that. I'm suggesting that under certain conditions
the organism may default to the simpler process of using the cues as they
arise consequent on the control processes that produce them as the souces of
the next reference values.

Me:

How does the system "recover" from its default state?

Bill:

That is not sufficient. If a sequence has been progressing without error,
how do you know that the first error is not about to occur?

Bruce A:

Why would I have to? Does your sequence-controller know when an error is
"about to occur"? No. So what's the point?

Me:

It's clear that you don't get the point. How does the system recover from
the "default" state? How does it know that it _needs_ to recover from this
state? How does it switch from an S-R system to a control system?

Bruce Gregory

[From Rick Marken (991009.2245)]

Bruce A? (more likely Bill P.)

It [sequence perception signal] begins with zero value and
increments by some amount as each perception in the sequence
appears. A moderate level of this signal at the end of the
sequence may remain below reference, but this by itself cannot
inform the output function what part of the sequence was incorrect.

Bill P.

Then that is not what this kind of perception is for.

Bruce Abbott (991109.2015 EST) --

It is what you proposed for sequence control in B:CP and it is
the variable Rick so confidently pointed to when asserting that
sequence control is based on a scalar variable whose intensity
indicates the degree of error in the sequence.

Bruce, you seem to think that Bill said something like "then
a sequence control system doesn't control a scalar perceptual
representation of the sequence". What Bill actually said was
"then that is not what this kind of perception [scalar perceptual
representation of the sequence] is for". What Bill meant, I
believe, is "informing the output function what part of the
sequence was incorrect is not what this kind of perception
is for". It's for something else. Determining what that
something else is is a job for a modeller who has to build
a model of a sequence control system that must produce different
outputs to correct errors that occur at different points in the
sequence. This problem is finessed in my sequence control
experiment since the same output (pressing) can be used to
correct a sequence error regardless of where in the sequence
the error occurs.

I don't believe that Bill's comment calls into question the
PCT model of sequence control which I so "confidently pointed
to"; at least, it dosn't call into question the PCT notion that
what is controlled is a scalar perceptual representation of
a sequence. Besides, all that can really call the model into
question is evidence that the model does not behave like the real
system. As I noted, I have built a simple PCT model of sequence
control and found that it fits the behavior of subjects in
my sequence control experiment. That's why I "confidently
pointed to" the PCT model as a model of sequence control. Of
course, I would lose a great deal of confidence in the model
if someone produced evidence that the model does not fit the
data. But so far, I am the only one who has collected the
relevant data and, so far, what data I've collected is
perfectly compatible with PCT.

Again, I invite you to return to this discussion when you have
collected some relevant data or when you have a working model
that explains some existing (relevant) data.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates e-mail: rmarken@earthlink.net
http://home.earthlink.net/~rmarken/

[From Bruce Abbott (991110.1030 EST)]

Bruce [S-R] Gregory (991109.2115 EST) --

Bruce Abbott (991109.2015 EST)

Your way of conceiving this process is reflected in many other concepts of
behaviorism. For example, when a reinforcer occurs, it is said to increase
the probability that the behavior which led to the reinforcement will occur
again under the same circumstances.

Another way of stating this is that the system will begin to reorganize so
as to control for the perception of the reinforcer. The organism _wants_
the reinforcer and reorganizes so as to be able to produce it on demand.

Your statement may be many things, but it is _not_ another way of saying
what Bill said about reinforcement. Controlling a perception does _not_
involve mindlessly repeating the same actions that led to reinforcement in
the first place.

Sorry, your mistake. My statement was "the system will begin to reorganize
to as to CONTROL FOR the perception of the reinforcer." As I recall,
control involves VARYING ACTIONS so as to produce a prespecified RESULT.
Please explain how this statement can be reduced to your "mindlessly
repeating the same actions." Failing that, how about a gentlemanly apology
for your mindless S-R kneejerk response? (:->

Yes, I'm not disputing that. I'm suggesting that under certain conditions
the organism may default to the simpler process of using the cues as they
arise consequent on the control processes that produce them as the souces of
the next reference values.

How does the system "recover" from its default state?

I assume that the cued behavioral chain was set into motion by a
higher-level system for the purpose of producing a specified outcome. When
the expected outcome does not materialize, the lower-level process is
interrupted and the problem dealt with.

I should also explain what I had in mind by my use of the term "default." I
certainly do not mean that the default state of the entire organism is an
S-R mode of operation. We were discussing how a system might produce a
sequence without exercising control over the sequence. I suggested that
with sufficient practice under conditions where the cued sequence reliably
leads to the intended result, execution of the sequence might be turned over
to this simpler, unsupervised process. That's basically what the issue
comes down to -- supervised (controlled or closed-loop) vs. unsupervised
(uncontrolled or open-loop) execution of movement to the next element in the
chain.

That is not sufficient. If a sequence has been progressing without error,
how do you know that the first error is not about to occur?

Why would I have to? Does your sequence-controller know when an error is
"about to occur"? No. So what's the point?

It's clear that you don't get the point. How does the system recover from
the "default" state? How does it know that it _needs_ to recover from this
state? How does it switch from an S-R system to a control system?

I understand _your_ point, but Bill's statement, quoted above, doesn't seem
to be making any point at all. No system, control or otherwise, "knows
whether an error is or is not about to occur," unless it has available to it
some reliable predictor of such an event.

Regards,

Bruce A.