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A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

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Page 1: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

A View from the Bottom

Peter DayanGatsby Computational Neuroscience Unit

Page 2: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Neural Decision Making

• bewilderingly vast topic • models playing a central role

– so beware of self-confirmation + battles

Page 3: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

3

• Ethology/Economics(?)– optimality– logic of the approach

• Psychology– economic choices – instrumental/Pavlovian conditioning

• Computation

• Algorithm

• Implementation/Neurobiologyneuromodulators; amygdala; prefrontal cortex

nucleus accumbens; dorsal striatum

prediction: of important eventscontrol: in the light of those predictions

Neural Decision Making

Page 4: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Imprecision & Noise

• computation– Bayesian sensory inference– Kalman filtering and optimal learning– metacognition

– exploration/exploitation

– game theory

Page 5: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Imprecision & Noise

• algorithm– multiple methods of choice

• instrumental: model-based; model-free– (note influence on RTs)

• Pavlovian: evolutionary programming

– uncertainty-modulated inference and learning

– DFT/drift diffusion decision-making

– MCMC methods for inference

Page 6: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Imprecision & Noise

• implementation– (where does the noise come from?)

– evidence accumulation– Q-learning and dopamine– metacognition and the PFC– acetylcholine/norepinephrine and uncertainty-

sensitive inference and learning

Page 7: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Diffusion to Bound

Britten et al, 1992

Page 8: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Diffusion to Bound• expected reward, priors affect

starting point• some evidence for urgency

signal• works for discrete evidence

(WPT)• less data on >2 options• micro-stimulation works as

expected• decision via striatum/superior

colliculus/etc?• choice probability for single

neuronsGold & Shadlen, 2007

Page 9: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

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dopamine and prediction error

no prediction prediction, reward prediction, no reward

TD error

Vt

R

RL

tttt VVr 1

)(t

Page 10: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Probability and Magnitude

Tobler et al, 2005

Fior

illo

et a

l, 20

03

Page 11: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Risk Processing

< 1 sec

0.5 sec

You won40 cents

5 secISI

19 subjects (dropped 3 non learners, N=16)3T scanner, TR=2sec, interleaved234 trials: 130 choice, 104 single stimulusrandomly ordered and counterbalanced

2-5secITI

5 stimuli:

40¢20¢

0/40¢0¢0¢

Page 12: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Neural results: Prediction errors

what would a prediction error look like (in BOLD)?

Page 13: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Neural results I: Prediction errors in NAC

unbiased anatomical ROI in nucleus accumbens (marked per

subject*)

* thanks to Laura deSouza

raw BOLD(avg over all

subjects)

Page 14: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Value Independent of Choice CauuvrECQ tttt ,1|)(),1( 1

**

),1(),2(max),1(),1( CQaQrCQCQ at

Roesch et al, 2007

Page 15: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Metacognition

• Fleming et al, 2010

• contrast staircase for performance; type II ROC for confidence

Page 16: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Structural Correlate

• also associated white matter (connections)

Page 17: A View from the Bottom Peter Dayan Gatsby Computational Neuroscience Unit

Discussion

• what can economics do for us?– theoretical, experimental ideas– experimental methods– like behaviorism…

• what can we do for economics?– large range of constraints– objects of experimental inquiry precisely aligned

with economic notions– grounding/excuse for complexity…