Transcript
Page 1: Convolutions and Correlations

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Convolutions and Correlations

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)()()()()()()( xfxgxgxfduuxgufxh

)()()()()()()( xgxfxfxgduxugufxh

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duuxgufxh )()()(

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Neurons as Filters

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Local Circuits in V1:

Selectivity is generated by specific connections

stimulus

Orientation selectivecortical simple cell

LGN

V1

Retina

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),(),( 2

2

2

2

yxGx

yxGy

)cos()()( kxxGxg =

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)()2

)(exp(21)(

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kxtrigxxxg

trig=sin trig=cos

Note:2-dim. Gabor

function are elongated.Thus, cells responses

are orientationselective.Top view: .

trig=cos

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0

),,(),()(),,( tdydxdttyyxxfyxgtvtyxR

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m ore rea lis itic

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duuxgufxh )()()(

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duuxgufxh )()()(

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Convolution and cell responsesImage on the retina

horizontal cross section

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-

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23Drifting grating stimulus

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A Null-Response is indicative of inhibition

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Detectors are so small close to the fixation point that theirresponses are similar.

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