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Theories of Classical Conditioning
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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
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Theories: WHY do organisms respond to predictability?
Pavlov: Stimulus substitutability theory Kamin: Surprise theory Rescorla and Wagner: Computational Model
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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
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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
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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
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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
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1 Set up: Initial training: Light turns on above feederfeeder releases pieces of hot dog Test: Light turns on above feeder, then above each of the other walls Forms a sequence of 1234 3. What is optimal response? 4. But: Dog “tracked the sign” 4 2 3 Jenkins, Barrara, Ireland and Woodside (1976)
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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
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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”
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Kamin’s work: 1967-1974 Blocking and 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 test each individually after training Find that only one supports a CR One stimulus “blocks” learning to second CS Demonstrated by Kamin
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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
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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
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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
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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?
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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?
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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
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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?
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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
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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)
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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!
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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 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.
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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)
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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!
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Answers to Blocking and 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
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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)
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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
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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
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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
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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
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The Equation!: Vi = amount learned (conditioned) on a given trial
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).
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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
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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
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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
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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
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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!
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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)
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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!
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Let’s put this baby to work…….. …….we will try a few examples
Okay, you got all that? Let’s put this baby to work…….. …….we will try a few examples
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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).
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Acquisition Vsum = Vl; no trials so Vl = 0
first conditioning trial: Assume (our givens) CS = light; US= 1 ma Shock Vsum = Vl; no trials so Vl = 0 thus: λ j-Vsum = = 100 -first trial must be EXCITATORY BUT: must consider the salience of the light: αi = 1.0 ßj = 0.5
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Acquisition first conditioning trial: CS = light; US= 1 ma Shock
Vsum = Vl; no trials so Vl = 0 thus: λ j-Vsum = = 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
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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
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Acquisition TRIAL 2: VL = (1.0)(0.5)(100-50) = 0.5(50) = 25
Same assumptions! VL = (1.0)(0.5)(100-50) = 0.5(50) = 25 Vsum = (50+25) = 75
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Acquisition TRIAL 3: VL = (1.0)(0.5)(100-75) = 0.5(25) = 12.5
Vsum = ( ) = 87.5
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Acquisition TRIAL 4: VL = (1.0)(0.5)(100-87.5) = 0.5(12.5) = 6.25
Vsum = ( ) = 93.75 TRIAL 10: Vsum = 99.81, etc., until reach ~100 on approx. trial 14 When will you reach asymptote?
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How to explain overshadowing?
Yep, it is good old Rescorla-Wagner to the rescue!
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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?
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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
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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+( )) = 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
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Overshadowing
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Blocking Why? 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?
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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!!!!!
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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*( )= _____________ No learning!
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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!
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How could one eliminate blocking effect?
Plug into the equation: (assume Vl and Vt equally salient) Vt = 0.2(1)( ) = 0.2(60) = 12 Vl = 0.2(1)( ) = 0.2(60) = 12 Vsum = =124
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How could one eliminate blocking effect?
on trial 2: Vsum = 124 Vt = 0.2(1)( ) = 0.2(36) = 7.2 Vl = 0.2(1)( ) = 0.2(36) = 7.2 Vsum now = ( ) = 138. Again, monotonically increasing curve. Thus, altering the salience of the US alters the learning Does altering the CS make the same change?
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Backward Conditioning
Established that a CS can either have excitatory or inhibitory potential Possible that a CS can be BOTH excitatory and inhibitory Backward excitatory conditioning CS is backwardly paired with a US (US–CS instead of CS–US). Usually this makes the CS become a conditioned excitor. But CS also has inhibitory features Can be demonstrated with retardation of acquisition test. Assess the inhibitory potential of a stimulus CS first trained as a conditioned inhibitor. Then repeatedly paired with the unconditioned stimulus (US) If the stimulus functions as a conditioned inhibitor, acquisition of an excitatory conditioned response should be impaired (retarded) relative to controls. The backwardly conditioned stimulus passes this test: Thus seems to have both excitatory and inhibitory features.
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Excitation and Inhibition:
during the acquisition of CC- any disruption may prevent the occurrence of the CR on any particular trial e.g. add a Buzzer---> CS (bell)---> US (food) Result: no salivation Palov called this external inhibition: Some external stimulus blocked inhibited the CR Disinhibition: during extinction- opposite occurs any disruption may bring back the CR on any particular trial Buzzer---> Bell (bell)---> No US (food) Salivation returns believed that presentation of distractor stimulus disrupted unstable Inhibitor link that develops during extinction more stable CS-US association, less affected by distracting S+: supposedly due to changes in excitation levels
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Measures of inhibition and disinhibition
Summation Test: superimpose a stimulus on an ongoing response: if the strength of CS decreases, that stimulus is inhibitory this would show that the CS2 is inhibitory, not that there was a change in excitation, since everything leading to excitation was held constant Retardation or acquisition test if its harder (takes longer) to make a stimulus excitatory than some neutral stimulus, then the stimulus is inhibitory NOTE: that the summation test and the retardation of acquisition test are always done together
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Measures of inhibition and disinhibition
Inhibitory Gradient test: if a stimulus is inhibitory, there will be an upside down generalization gradient around it: How do you get an animal to respond to these new stimuli to get the inhibitory gradient to elicit the CR? the inhibitory gradient changes over time: really, is just discrimination and generalization learn that some CS = UR, some CS = no UR
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Figure 3. 10 – Pavlov’s procedure for conditioned inhibition
Figure 3.10 – Pavlov’s procedure for conditioned inhibition. On some trials (Type A), the CS+ is paired with the US. On other trials (Type B), the CS+ is presented with the CS- and the US is omitted. The procedure is effective in conditioning inhibitory properties to the CS-.
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Figure 3.11 – A negative CS-US contingency procedure for conditioning inhibitory properties to the CS. Notice that the CS is always followed by a period without the US. The Pinciples of Learning and Behavior , 6e by Michael Domjan Copyright © 2010 Wadsworth Publishing, a division of Cengage Learning. All rights reserved.
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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
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Explaining loss of associate value
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
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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
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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
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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.
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New equation: Adding probability parameter
Modified equation for explaining probability: Va = πaß1 πaß1 - (1-πa)ß2 Vax = πaxß1 πaxß1 - (1-πax)ß2 Vx = Vax - Va
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PLUG IN: Assume Probability of CSa then US = 0.8
Probability of CSax then US =0.2 Va = (0.8)(1.0) = = = ((.8)(.10)) - (1-.8)(.05) Vax = (0.2)(1.0) = = = ((.2)(.10)) - (1-.2)(.05) Vx = Vax - Va or = probability of US given AX is less than probability of US given A
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PLUG IN: Probability of CSa then US = 0
PLUG IN: Probability of CSa then US = Probability of CSax then US = 0.5 Va = (0.5)(1.0) = 20 ((.5)(.10)) - (1-.5)(.05) Vax = (0.5)(1.0) Vx = Vax - Va or = 0 (probability of AX = A)
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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 Is this true? Perhaps the answer is to look at neuro data.
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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?
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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!
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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 Pre-exposure data strongly suggest CS salience DOES change w/experience Newer data supports changes in 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
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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:
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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
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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: what it is and how much of it WHEN what is predicted will occur
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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
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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 duration of these two temporal intervals rather than absolute value of either one by itself Holland (2000) Conditioned rats to an auditory 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
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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
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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
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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.
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Comparator Models Model assumes organism learns three associations during course of conditioning: Association between target CS and US Association between the target C S and the comparator cues Association between comparator stimuli and the US Comparison between the direct and indirect activations determines the degree of excitatory or inhibitory responding
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Comparator model predictions
The comparison between the CS-US and the comparator-US associations at testing are important: Allows prediction: Extinction of comparator-US associations Extinction to one of a compound CS following training of a target CS will enhance responding to the other 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!
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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
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DA release in the Nucleus Accumbens (Nac)
The NAc long been targeted as being the “neural location” for reward processing Early investigations on Electrical Brain Stimulation Rats press for electrical brain stimulation rather than food, water, sex DA release in the NAc appears to modulate Choice Discrimination learning Classical conditioning This DA release modulates, at least partially, Locomotion novelty and exploration behaviors behavioral stereotopy social behaviors.
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Dopamine appears to be the “motivator” neurotransmitter
DA flow is controlled by specialized receptors on DA neurons D1-like receptors: control phasic fluctuations brief spikes of release D2-like receptors: control tonic fluctuation maintains overall levels at synapse
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Prediction Error Hypothesis
Exposure to an unexpected reward causes transient firing of dopamine neurons which signals brain to learn a cue. Once cue is learned, burst of firing occurs at cue, not at reward. If the reward does not arrive, dopamine firing will decrease below baseline levels serves as an error signal about reward predictions If reward comes at unexpected time, dopamine firing will increase positive predictive error signal: “better than expected!”
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Dopamine Gating Hypothesis
Because drugs cause dopamine release (due to pharmacological actions), dopamine firing upon use does not decay over time brain repeatedly gets positive predictive error signal: “better than expected!” Cues become ubiquitous (and more difficult to extinguish) Cues that predict availability of CS increase in incentive salience (consolidates seeking behavior for that cue and the US) Think about drug abuse: HUGE DA firing as a result of drug intake Drug cues will become powerfully overweighted compared to other choices Drug cues become incredibly difficult to extinguish Drug seeking behavior increasing and outweighs most other behaviors Contributes to loss of control over drug use
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Cue Learning Glutamate is another excitatory neurotransmitter involved in cue learning: Specific information about cues Evaluation of cue significance Learned motor responses Involves Long Term potentiation With repeated trials, glutamate frees NMDA receptor This allows growth of dendritic spines Helps form new neural networks Enhances dopamine dependent learning
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Bottom Line Predictability is important- perhaps the most important
We optimize which predictive cues we attend to As learning the relationship between the cue and the terminal event occurs, new neural networks are formed We don’t forget, we learn that the CS no longer predicts Old habits are hard to break! Be careful which cues become relevant in your life!
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