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Delta function definition boardwork
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Felt a function (of
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81t2= lion at
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-- - _ - _ - _ - - _ ~ - - ^
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the 86
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Yost if
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at Lath
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otherwise
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deft-tile
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At to
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{'lot
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-B that
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it it
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otherwise.
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"spike at time In"
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Any interval containing ti
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dt dottily =
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at. is to
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= I Cree-tangle or an)
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Spite train: _
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Nitti)
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I I to t3
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I....
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So... _
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An estimate of rate * spites in
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#spikes in at =
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put dat
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pit) dt or an'
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Time Dependent rate
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r it):
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paid to
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• Modeling a Spite
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e train as a Poisson Process:
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, Divide time axis
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Bins of width
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En.23,
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different
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u he of at
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than for
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-finite)
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"111111111 l
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• Rate r.. So... Spite in each b in with
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proba
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7 Put O
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Y if Spike, o otherwise
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00 100...
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Generating random
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(samples of)
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Binary (0/1) random variables in Matias.
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by r: _
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Eric Shea-Brown
Useful reference: Introduction to Probability Models, Sheldon Ross.
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soleras
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plain
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Basso *'r
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agorae
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"Bidaai* Appear
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¥ p can
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] Generating Rid. in MATufos
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3) X= r and
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any. distributed Rill. w/ range (on]
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. see what neighbor got!
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1 MATeAB generates Sly.
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of pseudo.
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random Vans. y
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range Co, i]
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• Need to Cp
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Huge period = 10
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24892
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L • .
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"randomize" starting point through
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r and (
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"state'
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) sum (41005 cal))
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- Generating a
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(r I of r u. :
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>>xlist:
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r and (1,
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_ • _ r Generating
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binary _
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r.4.. w/
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pix I n = p
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pcx=o]= Cup)
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42 42
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>>x=round for and)
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PIX I)
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o)=i_p
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round (
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r and + (pike)
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in nd Max
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Make up for
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More than-Jain probate
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*'ran*
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• Back to our example.
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) number of milliseconds
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dettat =
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n sec I
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, number
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of mil
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seconds
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total
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seconds
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^ ! }
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0 so o 6
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to bins m in see |
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100 ;
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rate (Spikes Very sea, #2)
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spiketrain
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* death at
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round
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numbing =
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round
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In delta t)
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: numbing)
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generate-simple-spike tab in. In
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[in future codes
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+ website y
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Basic
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statistics of
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R.W. X:
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D Mean (x3= ☹ (x)
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• Say...
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Have M Samples formalizations)
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"on trial j "
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ilar(x)=
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fluctuations
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in samples around
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= E (
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squared
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( (232)
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M z j=1
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MS j)
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b Implement
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at an in Matias:
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given sample-list y
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s, suit
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mean ( sample. list}
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N Fact:
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these sample stats.)
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true stats beg,
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g spas)
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in him
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Claws of lg. #5]
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Mean, 4
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are across
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of spike count across
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trials, in
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haft 1/2 of
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generate. Simple. Spike-train. m
