Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note...

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Theories of Classical Conditioning

Transcript of Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note...

Page 1: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Theories of Classical Conditioning

Page 2: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Critical CS-US relationship

• Important (critical) things to note about classical conditioning:– the CS MUST precede the US– the CS MUST predict the US– if the CS does not predict the US, no conditioning

occurs– the CR does not have to be identical to the UR

• E.g., subtle differences even Pavlov noticed)• may even be opposite: Morphine studies

• Any response is a classically conditioned response if it – occurs to a CS – after that CS has been paired with a US – but does NOT occur to a randomly presented CS-US pairing

Page 3: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Theories: WHY do organisms respond to predictability?

• Pavlov: Stimulus substitutability theory

• Kamin: Surprise theory

• Rescorla and Wagner: Computational Model

Page 4: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Pavlov: Stimulus Substitution Theory

– Basic premise of theory• w/repeated pairings between CS and US, CS becomes

substitute for the US • thus, the response initially elicited only by US is now also

elicited by CS

– sounds pretty good:• salivary conditioning: US and CS both elicit salivation• eyeblink conditioning: both elicit eyeblinks

– Theory was doing well until we found compensatory CRs

Page 5: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Pavlov: Stimulus Substitution Theory

– Criticisms and Flaws:• CR is almost never an exact replica of the UR• an eyeblink to UR of air puff = large, rapid closure• eyeblink to CS of tone = smaller, more gradual closure

• Defense of theory: Hilgard (1936): Why differences in CR and UR:– intensity and stimulus modality of the CS and US are different– Thus: differences in Response magnitude and timing are to be

expected– But still doesn’t explain OPPOSITE CR

Page 6: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Pavlov: Stimulus Substitution Theory

• BIGGER PROBLEM:– whereas many US's elicit several different R's, as a general rule not all of these R's

are later elicited by the CS

• E.g. Zener (1937)– dog presented w/food as US:

• found that the dog elicited a number of UR responses to the food• E.g., salivation, chewing, swallowing, etc.

– CS not elicit all of those responses • NO CRs of chewing and swallowing• Just the CR of just salivation

• on other hand: CR may contain some of responses that are not part of CR: – Zener found that dogs turned head to bell – But no head turns to presentation of food

Page 7: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Modifications of SST• MODIFICATIONS OF SST: (Hilgard)

– only some components of UR transferred to CR– CS such as a bell often elicits unconditioned responses of its own, and these

may become part of CR

• SIGN TRACKING: Hearst and Jenkins 1974– emphasized this change in form of CR vs. UR– Also Jenkins, Barrara, Ireland and Woodside (1976)

• Sign Tracking : animals tend to – orient themselves toward– approach– explore any stimuli that are good predictors of important events such as the

delivery of food

Page 8: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Set up:1. Initial training: Light

turns on above feederfeeder releases pieces of hot dog

2. Test: a. Light turns on above

feeder, then above each of the other walls

b. Forms a sequence of 1234

3. What is optimal response?

4. But: Dog “tracked the sign”

1

2

3

4

Jenkins, Barrara, Ireland and Woodside (1976)

Page 9: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Modifications of SST• Strongest data against SST theory: Paradoxical conditioning

– CR in opposite direction of UR

• Black (1965): – heart rate decreases to CS paired w/shock– US of shock elicits UR of heart rate INCREASE– But CS of light or tone elicits CR of heart rate DECREASE

• Seigel (1979): conditioned compensatory responses– Morphine studies– evidence of down regulation in addiction– Actual cellular process in neurons (and other cells, too!)– thus SST theory appears incorrect

Page 10: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Perceptual Gating Theory

• Perceptual gating theory:– Idea that only if CS is biologically relevant will it get processed– If a CS doesn’t get processed it can be predictive/informative– Animals attend to biologically relevant stimuli

• Problem:– Data show that under certain circumstances a stimulus is

“attended to” or “processed”, but still does not serve as a CS with an accompanying CR

– Issue remains: is the stimulus the most predictive?– Second issue: Defining “biologically relevant”

Page 11: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Kamin’s work: 1967-1974Blocking and overshadowing

• Overshadowing:– use one "weak" and one "strong" CS– CS1+CS2US– reaction to weaker stimulus is blotted out by stronger CS– Demonstrated by Pavlov

• Blocking:– Train 1 CS, then add a second CS to it:

• CS1 US• CS1+CS2US

– test each individually after training

– Find that only one supports a CR– One stimulus “blocks” learning to second CS– Demonstrated by Kamin

Page 12: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Kamin’s blocking experiment

• used multiple CS's and 4 groups of rats

• the blocking group receives – series of L+ trials which produce strong CR– series of L+T+ trials– then tested to just the T

• control groups receives– SAME TOTAL NUMBER OF TRIALS AS BLOCKING GROUP– no first phase– L+ only; Test T– T+ only; Test T– LT+ only: Test T

Page 13: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Kamin’s blocking experiment• prediction: since both received same # of trials to the tone- should

get equal conditioning to the tone

• results quite different: Blocking group shows no CR to the tone- the prior conditioning to the light "blocked" any more conditioning to the tone

• directly contradicts frequency principle (remember associationism!)

Group Phase I Phase II Test Phase Result Control --- L+ T T elicits no CR

Control --- T+ T T elicits CR Control --- LT+ T T elicits a CR

Blocking L+ LT+ T T elicits no CR

Page 14: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Things we know about blocking:• the animal does "detect" the stimulus:

– can’t be perceptual gating issue– EXT of CR with either T alone or with LT– EXT occurred faster with compound LT

• appears to be independent of: – length of presentation of the CS– number of trials of conditioning to compound CS

• constancy of US from phase 1 to 2 important!!!!– US must remain identical between the two phases or no blocking

• influenced by:– Type of CR measure (used CER, not as stable as non fear CR)– nature of CS may be important- e.g. modality– intensity of CS or US stimuli important

• depends on amount of conditioning to blocking stimulus which already occurred

Page 15: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Change in either US or CS can prevent/ overcome blocking

• Change the intensity of the CS from phase 1 to phase 2– Overshadowing could be playing a role– strong vs weak stimulus– e.g. experiments when changed from 1 ma to 4 ma shock– quickly condition to compound stimulus– little or no overshadowing or blocking

• Change in intensity of either CS stimulus- – Change in context from Phase 1 to Phase 2

• lT then T• Lt then T

– presents a different learning situation and no blocking

• Any ideas about what is happening?

Page 16: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Explanations of Blocking:•

Poor Explanation: Perceptual gating theory:– tone never gets processed– tone not informative– data not really support this (evidence that do “hear” tone)

• Good Explanation: Kamin's Surprise theory:– to condition requires some mental work on part of animal– animal only does mental work when surprised– bio genetic advantage: prevents having to carry around excess mental baggage– thus only learn with "surprise"– situation must be different from original learning situation

• Better Explanation: Rescorla Wagner model:– particular US only supports a certain amount of conditioning– if one CS “hogs” all that conditioning- none is left over for another CS to be added– question- how do we show this?

Page 17: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Recorla: Which is more important?CS-US correlation vs. contiguity

• CS-US contiguity: – CS and US are next to one another in time/space– In most cases, CS and US are continguous

• CS-US correlation: CS followed by the US in a predictive correlation:

• If perfect correlation (most predictive)- most conditioning• p(US/CS) = 1.0 • p(US/no CS) = 0.0

• But: life not always a perfect correlation

Page 18: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

CS-US correlation is more critical

• Rescorla (1966, 1968): Showed how 2 probabilities interact to determine size of the CS– CS = 2 min tone; presented at random intervals (M = 8 min)– for: Group 1: p(shock/CS) = 0.4 during 2 min presentation– For Group 2: p(shock/no CS) = 0.2

• Which group should show more conditioning?

• WHY?

Page 19: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Robert Rescorla (1966)Examined predictability 6 types of Groups

• CS-alone– present CS alone with no US pairing– problem: not have same number of US trials as

experimental animals do, may actually be extinction effect

• Novel CS group: – looks at whether stimulus is truly "neutral"– may produce habituation- animal doesn't respond

because it "gets used to it"

• US-alone – present US alone with no CS pairing– problem: not have same number of CS trials

Page 20: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Rescorla: 6 types of control groups• Explicitly unpaired control

– CS NEVER predicts US– that is- presence of CS is really CS-, predicts NO US– animal learns new rule: if CS, then no US

• Backward conditioning:– US precedes CS– assumes temporal order is important (but not able to explain

why)– again, animal learns that CS predicts no US

• Discrimination conditioning (CS+ vs CS-)– use one CS as a plus; one CS as a minus– same problem as explicitly unpaired and backward- works,

but can work in certain circumstances (taste avoidance)

Page 21: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Rescorla: Results with 6 Groups• CS-alone: No conditioning, but habituation to CS

• Novel CS group: novel worked better than CS with previous experience.

• US-alone: habituation to CS

• Explicitly unpaired control: – Got GREAT conditioning– Learned that the CS NEVER predicts the US!

• Backward conditioning:– US preceded CS– assumed temporal order is important – It was: Animal learned that CS predicts NO US, but US predicted CS

• Discrimination conditioning (CS+ vs CS-)– use one CS as a plus; one CS as a minus– Got discrimination– Animals paid attention to whatever stimulus was MOST PREDICTIVE!

Page 22: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

CS-US correlation: Summary of Results

• whenever p(US/CS) > p(US/NO cs):– CS = EXCITATORY CS– that is, CS predicts US– amount of learning depended on size difference between p(US/CS) and p(US/no CS)

• whenever p(US/CS) <p(US/NO CS):– CS = INHIBITORY CS– CS predicts ABSENCE of US– amount of learning depended on size difference between p(US/CS) and p(US/no CS)

• whenever p(US/CS) = p(US/NO cs):– CS = NEUTRAL CS– CS doesn’t predict or not predict CS– no learning will occur because there is no predictability.

Page 23: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

CS-US correlation vs. contiguity

• Thus: appears to be the CORRELATION between the CS and US, not the contiguity (closeness in time) that is important

• Can write this more succinctly:– correlation carries more information– if r = + then excitatory CS– if r = - then inhibitory CS– if r = 0 then neutral CS (not really even a CS)

Page 24: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Classical condition is “cognitive”(oh the horror of that statement, I am in pain)

• PREDICTABILITY is critical

• Learning occurs slowly, trial by trial– Each time the CS predicts the US, the strength of the correlation is increased– The resulting learning curve is monotonically increasing:

• Initial steep curve• Levels off as reaches asymptote

– There is an asymptote to conditioning to the CS: • Maximum amount of learning that can occur• Maximum amount of responding that can occur to CS in anticipation of the

upcoming US

• We can explain this through an equation!

Page 25: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Answers to Blocking and Overshadowing

• Overshadowing:– use one "weak" and one "strong" CS– reaction to weaker stimulus: less CR– Reaction to stronger stronger stimulus: more CR

• Blocking:– What is being predicted– Does LT give any more information/predictability than

L alone? – If not, then L “blocks” learning to LT

Page 26: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Assumptions of Rescorla-Wagner (1974) model

• Model developed to accurately predict and map learning as it occurs trial by trial

• Assumes a bunch of givens:– Assume animal can perceive CS and US, and can exhibit UR and CR– Helpful for the animal to know 2 things about conditioning:

• what TYPE of event is coming• the SIZE of the upcoming event

• Thus, classical conditioning is really learning about:– signals (CS's) which are PREDICTORS for– important events (US's)

Page 27: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Assumptions of R-W model• assumes that with each CS-US pairing 1 of 3 things can happen:

– the CS might become more INHIBITORY– the CS might become more EXCITATORY– there is no change in the CS

• how do these 3 rules work? – if US is larger than expected: CS = excitatory– if US is smaller than expected: CS= inhibitory– if US = expectations: No change in CS

• The effect of reinforcers or nonreinforcers on the change of associative strength depends upon:– the existing associative strength of THAT CS– AND on the associative strength of other stimuli concurrently present

Page 28: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

More assumptions• Explanation of how an animal anticipates what type of CS is coming:

– direct link is assumed between "CS center" and "US center": • e.g. between a tone center and food center • In 1970’s: other researchers thought R and W were crazy with this idea• Now: neuroscience shows formation of neural circuits!

– assumes that STRENGTH of an event is given • the conditioning situation is predicted by the strength of the learned connection

– THUS: when learning is complete: • the strength of the association relates directly to the size or intensity of the CS• Asymptote of learning = max learning that can occur to that size or intensity of a

CS • Maximum amount of learning that a given CS can support

Page 29: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

More assumptions• The change in associative strength of a CS as the result of any given

trial can be predicted from the composite strength resulting from all stimuli presented on that trial:

– Composite strength = summation of conditioning that occurs to all stimuli present during a conditioning trial

– if composite strength is LOW: • the ability of reinforcer to produce increments in the strength of component stimuli

is HIGH• More can be learned for this trial

– if the composite strength is HIGH: • reinforcement is relatively less effective (LOW)• Less can be learned for this trial- approaching max of learning

Page 30: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

More assumptions:

• Can expand to extinction, or nonreinforced trials:

– if composite associative strength of a stimulus compound is high, then the degree to which a nonreinforced presentation will produce a decrease in associative strength of the components is LARGE

– if composite associative strength is low- nonreinforcement effects reduced

Page 31: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

The Equation!:• Yields an equation: THE Rescorla Wagner (1974) model!!!!!

Vi =αißj(Λj-Vsum)

• Vi = amount learned (conditioned) on a given trial

• Αi = the salience of the CS

• ßj = the salience of the US

• (Λj-Vsum) = total amount of conditioning that can occur to a particular CS-US pairing

• What does this equation say?• The amount of conditioning that will occur on a given trial is a function of:

• The size of the salience of the CS multiplied by• The size of the salience of the US multiplied by• (The maximum amount of learning minus the amount of learning that has already occurred).

Page 32: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Let’s use this in an example:First example:

• A rat is subjected to conditioned suppression procedure: – CS (light) ---> US (1 mA shock)

– Question: what is associative strength?

– 1 = associative strength that a 1mA shock can support at asymptote ( λ j ) • (I am arbitrarily setting this value for easy math)• So, we will say that the associative strength of a 1 mA shock = 100 units of association/learning

– VL = associative strength of the light (strength of the CS-US association)

• thus: λ 1 = animal’s maximum reaction to the size of the observed event (actual shock)

• VL = measure of the Subjects current "expectation" about the light predicting the light.

• VL will approach λ 1 over course of conditioning: VL = λ 1

Page 33: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

First trial: CSL USshock

• CS (light+tone) --> 1 mA shock on trial 1 (no previous pairing)– Λj = max amount of conditioning that can occur to the CSL : Let’s

set it at 100

– Vsum = assoc. strength of all paired trials so far (0)

– Can set αi = 0.5

– Can set ßj = 1.0

– VL = αißj(Λj-Vsum) just plug in numbers

– VL = 0.5*1.0(100-0) = 50 units of conditioning/learning

Page 34: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Second example: 2CS's:

• CS (light+tone) --> 1 mA shock – Vsum = VL + VT = assoc. strength of the 2 CS's

– (still 0 on trial 1)

– Vsum = αißj(λn) – if VL and VT equally salient:

• VL = 0.5αißj;

• VT = 0.5αißj

– VT = 0.5*0.5*(100-0) = 25 units of learning

Page 35: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

WHY is this equation important?

• We can use the three rules to make predictions about amount and direction of classical conditioning

• λ j > Vsum = excitatory conditioning– The degree to which the CS predicted the size of the US was GREATER than

expected, so you react MORE to the CS next trial

• λ j < Vsum = inhibitory conditioning– The degree to which the CS predicted the size of the US was LESS than

expected, so you react LESS to the CS next trial

• λ j = Vsum = no change: – The CS predicted the size of the US exactly as you expected

Page 36: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Now have the Rescorla-Wagner Model:

• Model makes predictions on a trial by trial basis

• for each trial: predicts increase or decrement in associative strength for every CS present

• Can specify amount and direction of the change in conditioning!

Page 37: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Now have the Rescorla-Wagner Model:

• Restate the equation: Vi =αißj(λ j -Vsum)

• Vi = change in associative strength that occurs for any CS, i, on a single trial

• λ j= associative strength that some US, j, can support at asymptote

• Vsum = associative strength of the sum of the CS's (strength of CS-US pairing)

• αi = measure of salience of the CS (must have value between 0 and 1)

• ßj = learning rate parameters associated with the US (assumes that different beta values may depend upon the particular US employed)

Page 38: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Can say this easier!• How much you will learn on a given trial (Vi) is a

function of:– αi or how good a stimulus the CS is (how well it grabs your

attention)

– ßj or how good a stimulus the US is (how well it grabs your attention

– Λj or how much can learning can be learned about the CS-US relationship

– AND Vsum or how much you have learned ALREADY!

Page 39: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Okay, you got all that?

Let’s put this baby to work……..…….we will try a few examples

Page 40: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

The equation: Vi =αißj(λ j-Vsum)

• Vi = change in associative strength that occurs for any CS, i, on a single trial

• αi = stimulus salience (assumes that different stimuli may acquire associative strength at different rates, despite equal reinforcement)

• ßj = learning rate parameters associated with the US (assumes that different beta values may depend upon the particular US employed)

• Vsum = associative strength of the sum of the CS's (strength of CS-US pairing)

• λ j= associative strength that some CS, i, can support at asymptote

• In English: How much you learn on a given trial is a function of the value of the stimulus x value of the reinforcer x (the absolute amount you can learn minus the amount you have already learned).

Page 41: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition• first conditioning trial: Assume (our givens)

– CS = light; US= 1 ma Shock– Vsum = Vl; no trials so Vl = 0– thus: λ j-Vsum = 100-0 = 100 – -first trial must be EXCITATORY

• BUT: must consider the salience of the light: – αi = 1.0 – ßj = 0.5

Page 42: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition• first conditioning trial: CS = light; US= 1 ma Shock

– Vsum = Vl; no trials so Vl = 0– thus: λ j-Vsum = 100-0 = 100 – -first trial must be EXCITATORY

• BUT: must consider the salience of the light: αi = 1.0 and learning rate: ßj = 0.5

• Plug into the equation: for TRIAL 1– VL = (1.0)(0.)(100-0) = 0.5(100) = 50– thus: V only equals 50% of the discrepancy between Aj an

Vsum for the first trial

Page 43: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition• Plug into the equation:

–for TRIAL 1–VL = (1.0)(0.)(100-0) = 0.5(100) = 50

–thus: VL only approaches 50% of the discrepancy between Aj and Vsum is learned for the first trial

Page 44: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition• TRIAL 2:

– Same assumptions!– VL = (1.0)(0.5)(100-50) = 0.5(50) = 25– Vsum = (50+25) = 75

Page 45: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition• TRIAL 3:

– VL = (1.0)(0.5)(100-75) = 0.5(25) = 12.5– Vsum = (50+25+12.5) = 87.5

Page 46: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Acquisition

• TRIAL 4:– VL = (1.0)(0.5)(100-87.5) = 0.5(12.5) = 6.25– Vsum = (50+25+12.5+6.25) = 93.75

• TRIAL 10: Vsum = 99.81, etc., until reach ~100 on approx. trial 14

• When will you reach asymptote?

Page 47: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

R-W explains 1 CS learning

Trials

0 2 4 6 8 10 12

Am

t of

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ning

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learning to Vlight Total amount learned (Vsum)

Page 48: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

How to explain overshadowing?

Yep, it is good old Rescorla-Wagner to the rescue!

Page 49: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Remember Overshadowing

• Pavlov: compound CS with 1 intense CS, 1 weak– after a number of trials found: strong CS

elicits strong CR– Weak CS elicits weak or no CR

• Note: BOTH CSs are presented at same time– Why would one over shadow or overpower

the other?– Why did animal not attend equally to both?

Page 50: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Overshadowing• Rescorla-Wagner model helps to explain why:

• Assume– αL = light = 0.2; αT = tone = 0.5– ßL = light = 1.0 ; ßt = tone = 1.0

• Plug into equation:– Vsum = Vl + Vt = 0 on trial 1– VL = 0.2(1)(100-0) = 20– Vt = 0.5(1)(100-0) = 50– after trial 1: Vsum = 70

Page 51: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Overshadowing• TRIAL 2:

– VL = 0.2(1)(100-(50+20)) = 6– Vt = 0.5(1)(100-(50+20)) = 15– Vsum = (70+(6+15)) = 91

• TRIAL 3:– VL = 0.2(1)(100-(91)) = 1.8– Vt = 0.5(1)(100-(91)) = 4.5– Vsum = (91+(1.8+4.5)) = 97.3 and so on– thus: reaches asymptote (by trial 6) MUCH faster w/2 CS's

• NOTE: CSt takes up over 70 units of assoc. strength CSl takes up only 30 units of assoc. strength

Page 52: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

OvershadowingR-W explains 2 CS learning

Trials

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

Am

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Vsum for light V sum for tone V sum total

Page 53: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Blocking

• Similar explanation to overshadowing:– Does not matter whether VL has more or

less saliency than Vt, – CS has basically absorbed all the associative

strength that the CS can support

• Why?

Page 54: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Blocking

• give trials of A-alone to asymptote: – reach asymptote: VL = λ j =100 =Vsum

• NOW add trials to compound stimuli:

– CS of the light has salience: αL =.5465

– CS of tone has salience of: ßt =0.464

– Note that CStone has higher salience!

– Eh, oh, the math is going to be TOO HARD to do!!!!!

Page 55: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Blocking

• Or IS the math to hard to do?

• First compound V1 Trial:

• Vt= αß(Λj-Vsum)

• What is Vsum after the training to the CS light?

• That’s right Vsum = ___________

• Vt=0.*1.0*(100-100)= _____________

• No learning!

Page 56: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

How could one eliminate blocking effect?

• increase the intensity of the US to 2 mA with λ j now equals = 160

– Learning so far: Vsum still equals 100 (learned

to 1 mA shock)

– But now: TOTAL learning is increased to 160!

Page 57: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

How could one eliminate blocking effect?

• plug into the equation:

• (assume Vl and Vt equally salient)

– Vt = 0.2(1)(160-100) = 0.2(60) = 12

– Vl = 0.2(1)(160-100) = 0.2(60) = 12

– Vsum = 100+12+12 =124

Page 58: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

How could one eliminate blocking effect?

• on trial 2:– Vsum = 124

– Vt = 0.2(1)(160-124) = 0.2(36) = 7.2

– Vl = 0.2(1)(160-124) = 0.2(36) = 7.2

– Vsum now = (124+14.4) = 138.

– Again, monotonically increasing curve.

• Thus, altering the salience of the US alters the learning

• Does altering the CS make the same change?

Page 59: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Can also explain why probability of reward given CS vs no CS makes a difference:

• π = probability of US given the CS or No US given No CS

• can make up three rules:– if πax > πa then Vx should be POSITIVE– if πax < πa then Vx should be NEGATIVE– if πax = πa then Vx should be ZERO

• modified formula: (assume λ1 =1.0; λ 2 =0; ß1 =.10; ß2=.05; α1=.10; α2=.5)

• Πa = probability of reward.

Page 60: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Explaining loss of associate value despite pairings with the US:

• R-W model makes a unique prediction: Conditioned properties of stimuli can DECREASE despite continued pairings with the US

• Lose associative value if presented together on conditioning trial after they have been trained separately

Page 61: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Explaining loss of associate valuePhase 1 Phase 2 Phase 3 TEST

I pellet I pellet

I pellet

B

A A

B A

A

• At the end of Phase 1: VAand VB= Ʌ; both equally and perfectly predict 1 pellet

• Phase 2: Compound stimuli with same US • No change in US• Should VAand VB remain unchanged?• But animal interprets differently: VAand VB=2 Ʌ

• Animal is surprised (disappointed): get suppression to A and B in Phase 3

Page 62: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Conditioned Inhibition

• Two kinds of trials:– CS+: CS predicts US– CS+ and CS-: predicts NO US

• Must consider CS+ and CS+ & CS- trials separately:– CS+: pairs CS+ US, V+ approaches Ʌ

• Excitatory conditioning ceases as V+ approaches Ʌ

– On Non reinforced trials: CS+ and CS-• No excitatory conditioning to CS+, but disappointment• BUT: inhibitory conditioning to CS-• Value of CS+ + CS- must sum to 0 to get inhibition• CS- value is then NEGATIVE: CS+ - CS- = 0

Page 63: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Extinction of excitation and inhibition

• V for CS+ has reached Ʌ– Now begin presenting CS+ without US

• CS+ begins to lose its excitatory value– V for CS+ will approach 0

Page 64: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Critique of the Rescorla-Wagner Model:• R-W model really a theory about the US effectiveness:

– says nothing about CS effectiveness• How WELL a CS predicts as a combo of salience and

probability

– states that an unpredicted US is effective in promoting learning, whereas a well-predicted US is ineffective

• Reason has to do with brain processing of all of this

Page 65: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Critique of the Rescorla-Wagner Model:

• Fails to predict the CS-pre-exposure effect:– two groups of subjects (probably rats)– Grp I CS-US pairings Control– Grp II CS alone CS-US pairings PRE-Expos

• Bob and Tom effect– Bob always hangs with Tom– You are dating Tom– You have a BAAAAAD breakup with Tom– Now you hate Bob….why?

Page 66: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Critique of the Rescorla-Wagner Model:

• In pre-exposure effect, simply being around a neutral stimulus alters its ability to become conditioned

• Original R-W model doesn't predict any difference, – Assumes no conditioning trials occur when CSs presented in

absence of US so Vsum = 0

– This appears to be wrong

• Conditioning likely occurring any time 2 stimuli are together– Form an incidental association– Need to modify the equation to account for this– They have, but we won’t!

Page 67: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Critique of the Rescorla-Wagner Model:

• Original R-W model implies that salience is fixed for any given CS– R-W assume CS salience doesn't change w/experience– these data strongly suggest CS salience DOES change w/experience

• Newer data supports changes salience– data suggest that Salience to a CS DECREASES when CS is repeatedly

presented without consequence– CS that is accidentally paired with another CS INCREASES in salience– NOW: appears that CS and US effectiveness are both highly important

• Model has stood test of time, now widely used in neuroscience

• Given birth to attentional models of CC

Page 68: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Attentional Models of CC

• Alternative focus: how well the CS commands attention– Assumes that increased attention facilitates learning about

a stimulus– Procedures that disrupt attention to CS disrupt learning

• Different attentional models differ in assumptions about what determines how much attention a CS commands on any given trial– Single attentional mechanisms: Kamin’s surprise– Multiple attentional mechanisms:

Page 69: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Multiple attentional mechanisms:

• Three attentions: – looking for action: attention a CS commands after it has become a

good predictor of the CS– Looking for learning: how well the organism processes cues that

are not yet good predictors of the US, and thus have to be “learned about”

– Looking for liking: the emotional/affective properties of the CS

• Assume that the outcome of a given trial alters the degree of attention commanded by the CS on future trials– Surprise? Then an increase in looking for learning on next trial– Pleasant outcome? Increases emotional value of CS on next trial

Page 70: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Timing and Information Theory Models

• Recognized that time is important factor in CC– Focal search responses become conditioned when

CS-US interval is short– General search responses become conditioned

when CS-US interval is long– Suggests that organisms learn both

• What is predicted• WHEN what is predicted will occur

Page 71: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Temporal coding hypothesis

• Organisms learn when the US occurs in relation to the CS

• Use this information in blocking, second-order conditioning, etc.

• What is learned in one phase of training influences what is learned in subsequent phase

• Large literature supports this

Page 72: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Importance of Inter-trial interval• More conditioned responding observed with longer inter-trial interval

– Intertrial interval and CS duration (CS-US interval) act in combination to determine responding

– Critical factor: relative druation of these two temporal intervals rather than absolute value of either one by itself

• Holland (2000)– Conditioned rats to an autidory cue that was presented just before delivery to food– CR to CS: nosing of food cup (goal tracking)– Each group conditioned with

• 1 of 2 CS durations: 10 or 20 sec• 1 of 6 intertrial intervals: 15 to 960 sec

– Characterized responses in terms of ratio of the intertrial interval (I) and the CS duration (T).

• Time spent nosing the food cup during CS plotted as function of relative value of I/T

– Results: as IT ratio increases, the percentage of time the rats spend with the nose in the food cup increases

Page 73: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Importance of Inter-trial interval• Relative Waiting Time Hypothesis

– Organism making comparison between events during the I and T– How long one has to wait for the US during the CS vs. how long one has to

wait for the US during the intertrial interval

• When US waiting time during CS is shorter than intertrial interval:– I/T ratio is high and CS is highly informative about the next occurrence of

the US – Lots of responding

• When US waiting time during CS is same or longer than intertrial interval wait:– I/T ratio is low, CS is not highly informative– Less responding

Page 74: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Comparator Hypothesis• Comparator hypothesis assumes that animal compares what

happens in one situation to what happens in another: animal COMPARES expectations across settings

• Revaluation effects: e.g. in blocking– Not that can’t learn to second CS, but that responding is blocked to CS2– Can get responding to CS2 by presenting alone, with out the US!

• Anytime there is a change in the predictive value of a CS the organism will re-evaluate its value

• Result is a disruption in responding to the changed CS

Page 75: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Comparator Hypothesis

• Note that this model is a PERFORMANCE model– It is not what is learned, but what is performed that is

critical– Organism compares cues that may occur in various

settings and alters responding depending on value of the cues in a given setting

• Not changing excitatory value of the US, but comparing the value of the predictive CSs for that US.

Page 76: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Comparator Models

Model assumes organism learns three associations during course of conditioning:1. Association between target CS and US2. Association between the target C S and the comparator cues3. Association between comparator stimuli and the US

Comparison between the direct and indirect activations determines the degree of excitatory or inhibitory responding

Page 77: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Comparator model predictions• The comparison between the CS-US and the comparator-US associations at

testing are important:

• Allows prediction that extinction of comparator-US associations following training of a target CS will enhance responding to that CS

• Thus, in blocking, extinction of CSA will unmask conditioned responding to CSB

• Not that responding to CSB was blocked, but that it was masked because, – when comparing CSA to CSA+CSB, the compound CSs provided no increased

predictability– Only when lessen predictiveness of CSA does CSB become “important”

• Organism responds to the BEST predictor under the circumstances!

Page 78: Theories of Classical Conditioning. Critical CS-US relationship Important (critical) things to note about classical conditioning: – the CS MUST precede.

Dopamine and Rescorla Wagner Model

• Turns out that changes in dopamine (DA) levels in dorsal striatal limbic cortical pathway vary as we learn

• And guess what: these levels can be predicted by the RW model!

• But, once a CS-US pairing (or an operant R-SR pairing) become well learned, the circuit begins to involve lower parts of the brain– Circuit begins to involve basal striatal areas– Becomes an “automated” or mastered behavior– No longer involves being “surprised”; is the most robust predictor amongst

comparitors

• A response to another CS will occur along the DA pathway if the CS-US relation change!!!!!– Change in the conditional value of a CS