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"Models of Narran Fiorina
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Generalizers areas MODELS.
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integrated fire model
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"hand as threshold...
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• Try this experimentally...
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Fig 9.3 are there a text.
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See... tiny black histogram... is range
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• almost invisible in plot
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at time she before measured
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Do not have single [
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loosely, Spite at end of
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of firing from data,
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in gray's (tiny) black
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want! B free 14) = plus" fire). p _
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• p (fire) • Phno five)
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Benchley) + are4 (4)
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her there it al Fig. 9.3
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-0), re to bar (spinet
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cist, in small at him it.
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It F and point process
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approximation to S.D.E.,
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I n Future A DD MORE Here !!!
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ihelihood of a spike
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(Binomial dig that ia
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that a Spice 5 I Do not It are a spike
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spike Train: Sequence of o's and is
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Likelihood of whole Spite
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Parameters Isamar-he on
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For spikina moose as
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depends an parameter
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most likely parameters a
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For later: = any more log pcDio) @
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SPikina NEURON Moses u a
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another it al text a.
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spike RESPONSE model.
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After spite: Vet-a vet)
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Captures these effects via:
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Some differences from I IF...
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Upper limit a integral =
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post-spike effects to build up...
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across several Spikes.
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aero s several spites.
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orig. gating variables evolve.
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can incorporate time _ dep. Threshold
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relative to fixed Vths
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convexity (Boyd t Vander... )
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| Convex optimization)
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of convex functions is convex.
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optimization problem anguish Fax), x
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point to s.t. Fly to is global optimum.
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x) is convex then so is FC
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or... fix) concave's long convex (same answer).
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log p (Dio) is convex
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mimmtutia y. New tat
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Allowing more new at without a's...
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and... problem stays convex!
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Protect again at oversitting...
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Allow for parameterized _
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form of filters, eg via Basis Fine this.
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for B basis vectors, B
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spike internet in filters.
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SAME To m of p(olD) u Stays concave!
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• to test a given Model,
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Receptive field nose is:
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complex spatiotemporal
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Panin shiet al 2003.
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Compere with "L N" models
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Llx.y.s). I (x. y, s)
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1 fit by" spoke trichinas stratus."
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is equivalent to a "weighted"
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similarly used to discover
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identify receptive fields for retinal ganglion cells.
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nonlinear stage of processing...
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De carne (Ch. 11.3) _
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r Form spikes to stimulus. _
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Same argents as above,
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can care ferreter aft