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Unformatted text preview: are the versus h0 yields:
units of natural bans) for h1 means of
1966). Briefly,
x and rate
y, Down motion (y h1, and
s case, ah2: respectively, under is larger) is the covariance
Pr(x,yh1(in
)
between x
Solving for the weight log
thought of as and y. weight of evidence of evidence
units of natural bans) for h1 versus h0 yields:Pr(x,yh0)
us conditions
value but can
( 1 constant 1 Relationship between Neural Responses an
Figure 1. Theoretical
Pr(x,yh1)
0)
·
· hypothetical distributions of respon
y) (6)
The panels on the left depict (x
nt orweight of evidence log
trialto2
example, the upper curve could represent the responses of a dire
(1
)
Pr(x,yh0)
then represent the responses of the opposing “antineuron” that pr
on numerous
responses are normally distributed with mean values of
and
the exponential and Poisson, lead to similar results (Gold and S
)
( 1numerous 1
ese probabiliNote that
factors could cause responses plotted as a function of their diff
nonzero values
0
computed from these
·
· (x y) (6)
2
easurements
of , including intrinsic factors like attention and arousal
(1
) •
• 0 1 measured
pothesis after all the by the neuron and antineuron up to that
tions of the total number of spikes generated evidence has been sampled, and
hm (Good, barrier at 0B, andprocess are called the decision is rendered for h1.
e reaches theReview Pr(h ) the Pr(h1) is stopped and a prior probabilities and
were used 303 reaches B (not shown), a decision for h0hypothesiserror.
Banburismus Performed by before any
ight of evidence
describe the probability of each is issued inNeurons
cess actuevidence is sampled. If, for example, there is an equal
Sensory SignalsTuring’s Weight of Evidence
th
f 1/10 of
prior probability of either hypothesis (which was the
onsidered
eant that
1968; Link and Heath, 1975; Luce, 1986;the weight of
assumption made in Banburismus), then Ratcliff and
ce that is
, implied
Rouder, 1998;equal to the logarithm of the ratio of the
evidence is Stone, 1960; Usher...
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This note was uploaded on 09/15/2011 for the course COGS 1 taught by Professor Lewis during the Spring '08 term at UCSD.
 Spring '08
 LEWIS

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