Proc. Inst. Radio Engr 47: 1940-1951, 1959. CHAPTER 7. WHAT THE ... Page 5
..... Criterion to answer “Right”. Criterion to answer “Left”. µ = kC ! 0. 2.5 5.
V1
Hubel and Wiesel, 1968
MT
Maunsell and Van Essen, 1983
Relating MT responses to visual discrimination
0% coherence
50% coherence
100% coherence
Newsome and Paré, 1988
Downing & Movshon, 1989
Record LIP, 7a
VIP
DP FEF V1 V 2
M V4 T MST FST PITd
VP VOT
PITv
T P CITd CITv
Visual input
S
AITd AITv
Record LIP, 7a
VIP
DP FEF V1 V 2
M V4 T MST FST PITd
VP VOT
PITv
T P CITd CITv
Visual input
S
AITd AITv
Visual stimulus
Neuronal response
Behavioral judgement
Pref target
Receptive field
Dots Aperture
+ recording in MT
Null target 10 deg
Fix Pt Dots Targets 1 sec
Fixation Point
MT responses depend on motion coherence 200 100
Firing rate (impulses/trial)
150 100
50
Preferred direction Null direction
50 0
0
25
50
75
100
0
10
20
30
40
50
100
50 40
75
30
50
20
25
10 0
0
0
25
50
75
100
0
0
10
20
30
40
Coherence (%) Britten, Shadlen, Newsome & Movshon, 1993
Proportion correct
Behavioral performance from one session
Coherence (%)
Britten, Shadlen, Newsome & Movshon, 1992
Barlow, Levick and Yoon, 1971
Britten, Shadlen, Newsome & Movshon, 1992
MT cells are as sensitive as monkeys to visual motion
Number of cells
Proportion correct
60
40
20
0
0.1 1 10 Threshold ratio (neuron/behavior)
Coherence (%) Britten, Shadlen, Newsome & Movshon, 1992
Neuronal threshold, fixation (%)
MT cell firing does not require the observer to make a decision
100
10
1 1
10
100
Neuronal threshold, choice (%)
Britten, Shadlen, Newsome & Movshon, 1992
Visual stimulus
Neurometric function
Neuronal response
Psychometric function
Behavioral judgement
Visual stimulus
Neurometric function
Neuronal response
Psychometric function
?
Behavioral judgement
MT cell firing is correlated with behavioral choice
0% coherence Choose “preferred”
Choose “anti”
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996
MT cell firing is correlated with behavioral choice
0% coherence Choose “preferred”
Choose “anti”
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996
Response of "antipreferred" neuron
MT cell firing is correlated with behavioral choice
Response of "preferred" neuron
"p Ch re oo fe se rre d"
nt Cho ip o re se fe rre d" "a
Response of "antipreferred" neuron
MT cell firing is correlated with behavioral choice
Response of "preferred" neuron
"p Ch re oo fe se rre d"
nt Cho ip o re se fe rre d" "a
Response of "antipreferred" neuron
MT cell firing is correlated with behavioral choice
Response of "preferred" neuron Choice probability ~ 0.85
Response of "preferred" neuron
Correlation of activity to choice is not accidental
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996
Difference in normalized response
Mean normalized response
Choice-related activity has a “forward” time course 0.4
0.2
0.0 0
500 1000 Time (msec)
1500
2000
0
500 1000 Time (msec)
1500
2000
0.1
0.0
-0.1
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996
The most sensitive neurons are most correlated to choice
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996
and simultaneously to measure neuronal subspace maps for disparity. First we examined how the monkeys weight the disparity signal in the stimulus to form their decision16. We calculated the difference between the average stimulus preceding the monkeys’ ‘near’ choices
neurons that had been recorded while the data for the psychophysical
Choice probability for depth discrimination in V2
a
n = 17,200
0.01
0.3
Disparity (º)
0.005
a Fixation marker Stimulus
0
0
Choice targets
–0.005
0 Trial start
–0.3
2 Time (s) Trial end
0
b Amplitude
0.3
c –0.3 0
10
20
30 Time (ms)
40
2,000
c Probability
Added signal:
–50%
0%
–25%
25%
0 –0.5
0 0.54 n = 57 cells
0.5 0
d
1,000 Time (ms)
2,000
n = 76 0.5
0
0.5
–0.5
0
0.5
–0.5
0
0.5
–0.5
0
0.5
–0.5
0
60
0.5
Percentage of near choices
Disparity (º) 1
R
d
0.5 0
40
0
20
–0.5
–50
–25
0 Added signal (%)
25
0.4
50
Figure 1 | Methods. a, Sketch of the sequence of events during one trial. b, Example time series of the stimulus. c, Probability mass distributions of the stimuli for one experiment (probability as a function of disparity), with signal disparities of 20.3u and 0.15u. Each plot depicts one signal condition (negative percentages indicate near signal disparities). d, The monkey’s performance for this experiment (in percentage ‘near’ choices as a function of percentage added signal).
utes of Health, 49 Convent Drive, Bethesda, Maryland 20892, USA.
blishers Limited. All rights reserved
–0.01
1
50%
0.5
2,000
2
Mean choice probability
Disparity (º)
b
1,000
89
0.6 0.8 Choice probability
Temporal integration time (ms)
ffects of ons, are we find ange in alysis of ally, we that are readily nal gain ntion19. -related es comneurons. neuronal r goal in t theory ce about se in the nse10–12, and the sensory not for ult from with one urons. A emselves ory neumarkedly forming timulus d by the en these tivity in ask, with allowed describe ubspace a kernel
Figure 2 | Psychophysical kernel and choice-related signal have different time courses. a, Psychophysical kernel (averaged over 76 experiments; n 5 17,200 trials; two monkeys) as a function of disparity and time. Colour represents amplitude (in occurrences per frame). b, Normalized amplitude of the psychophysical kernels decreases over time. c, Averaged choice-related signal over time. Shaded grey areas in b and c, 61 standard error. d, The correlation coefficient, R, over time between choice probability (for individual neurons) and the amplitude of the mean psychophysical kernel, plotted against a neuron’s mean choice probability. Colour represents temporal integration time (Supplementary Methods); bold symbols, significant R (P , 0.05, by resampling); circles, data from monkey 1; squares, data from monkey 2. 90
c p p
s m q r m s s n ( g
p c ( P ( c w p m F e n a n s c
f c a i p a r
l o i
Visual stimulus
Neurometric function
Neuronal response
Psychometric function
Choice probability
Behavioral judgement
Albright, 1984
Stimulate LIP, 7a
VIP
DP FEF V1 V 2
M V4 T MST FST PITd
VP VOT
PITv
T P CITd CITv
Visual input
S
AITd AITv
Pref target
Receptive field
Dots Aperture
+ microstimulation in MT
Null target 10 deg
Fix Pt Dots Elect Stim Targets 1 sec
Fixation Point
Proportion of choices of the preferred direction
Coherence (%) Salzman, Murasugi, Britten and Newsome, 1992
Number of cases
Equivalent visual coherence
Salzman, Murasugi, Britten and Newsome, 1992
Visual stimulus
Neurometric function
Neuronal response
Psychometric function
Choice probability Microstimulation
Behavioral judgement
Decoding MT neurons for visual motion discrimination
up
X1
up
X2
up
X3
Pooled MT Signal
● ●
〈X〉
up
● up
XN
Decision up
〈X〉
down
> 〈 X 〉down
X1
down
X2
down
X3
● ● ● down
XN
Pooled MT Signal down
〈X〉
Britten, Newsome, Shadlen, Celebrini & Movshon, 1996 Shadlen, Britten, Newsome & Movshon, 1996 Cohen & Newsome, 2009
Decoding MT neurons for visual motion discrimination
up
X1
up
X2
up
X3
Pooled MT Signal
● ●
〈X〉
up
● up
XN
Decision up
〈X〉
down
> 〈 X 〉down
X1
down
X2
down
X3
● ●
Pooled MT Signal down
〈X〉
● down
XN
Shadlen, Britten, Newsome & Movshon, 1996 Cohen & Newsome, 2009
Interneuronal correlation
Decoding MT neurons for visual motion discrimination MT neuron pairs (Zohary et al.)
up
0.5
0.0
X1
up
X2
up
X3
Pooled MT Signal
● ●
〈X〉
0
90 Difference in preferred direction (deg)
up
Zohary, Shadlen & Newsome, 1994
● up
XN
Decision up
〈X〉
down
> 〈 X 〉down
X1
down
X2
down
X3
● ●
Pooled MT Signal down
〈X〉
● down
XN
180
Shadlen, Britten, Newsome & Movshon, 1996 Cohen & Newsome, 2009
Where is sensory activity converted into decision and actions? Frontal eye field (FEF)
Lateral intra-parietal area (LIP)
V2d
7a 7b V4
V1 V2v MT/MST
LIP receives projections from MT and projects to areas that are known to contribute to the generation of saccadic eye movements
2ECORD ,)0 A
6)0
$0 &%& 6 6
6 4 -34 &34 0)4D
60 6/4
0)4V
4 0 #)4D #)4V
6ISUAL INPUT
3
!)4D !)4V
A ●
●
Target 1
Target 2
✙
+ recording in LIP
FP
B Fixate 350 msec
✙ Targets appear 500 msec
●
●
Target 1
Target 2
✙ Random dot motion 2 sec
●
●
✙ Delay 500-1000 msec
●
●
✙ ●
●
Saccade
Shadlen and Newsome, 2001
task_panels_vert_noMF.isl
50
motion onset
Mean response (sp/s)
45
saccade
35
50 45
51.2% 25.6% 12.8% 6.4% 0%
40
N=106
40 35
30
30
25
25
20
20
15
15
10
10
-0.5
0
0.5
1
-0.5
0
0.5
Time (s) Mike Shadlen
Responses in a reaction-time version of the direction discrimination task
Mike Shadlen
Bounded accumulation of evidence
MT – sensory evidence Motion energy “step” Spikes/s
High motion strength
Low motion strength
LIP – decision formation Accumulation of evidence “ramp” Spikes/s
r
H
Time Stimulus on
~1 sec
h ig
m
n io t o
m Low
st
th g en
re n st o i t o
ngth
Threshold
Time Stimulus off
Stimulus on
~1 sec
Stimulus off
Mike Shadlen
Diffusion to bound model Criterion to answer “Right”
Accumulated evidence for Rightward and against Leftward
Momentary evidence e.g., ∆Spike rate: MTRight– MTLeft
µ = kC
Criterion to answer “Left”
C is motion strength (coherence)
Palmer et al (2005) Shadlen et al (2006)
Responses in a reaction-time version of the direction discrimination task are well described by the “race” model of integration to a decision boundary
1 P= 1 + e−2 k C B
t(C) =
B tanh(BkC) + t nd kC
saccade Grouped by RT RT (ms)
choose Tin
70
Firing rate (sp/s)
Firing rate (sp/s)
0 60 50 40
choose Tout
30 –1000
–500
0
Time from saccade (ms)
Roitman & Shadlen, 2002
Speed-Accuracy Tradeoff
e m i T n Saccade o ti
c
]
a e R
Motion Targets Fixation
e m i T
Hanks, Kiani & Shadlen, 2014
Speed-Accuracy Tradeoff
a
b 0.7
0.9
Reaction time (s)
Proportion correct
1
0.8 0.7 0.6
0.6 0.5 0.4
0.5 0 20 40 60 Motion strength (% coh)
c A
0
Tout accumulator
Tin accumulator
Bound for Tin
0 20 40 60 Motion strength (% coh)
A
0
Bound for Tout
Hanks, Kiani & Shadlen, 2014
Reacti
Proport
0.7
Speed-Accuracy Tradeoff 0.6
0.4
0.5 0 20 40 60 Motion strength (% coh)
c A
0
Tout accumulator
Tin accumulator
Bound for Tin
0 20 40 60 Motion strength (% coh)
A
Bound for Tout
0
Hanks, Kiani & Shadlen, 2014
Speed-Accuracy Tradeoff
Speed-Accuracy Tradeoff
b 1.2 1 0.8 0 20 40 60 Motion strength (% coh)
c Normalized firing rate
Normalized FR before saccade
a
Speed condition
Accuracy condition 1 0.5
1
Slower
Faster
−400 −200 0 Time from saccade (ms)
0.5
Slower
Faster
−400 −200 0 Time from saccade (ms)
Hanks, Kiani & Shadlen, 2014
Where is sensory activity converted into decision and actions? Frontal eye field (FEF)
Lateral intra-parietal area (LIP)
V2d
7a 7b V4
V1 V2v MT/MST
3TIMULATE ,)0 A
6)0
$0 &%& 6 6
6 4 -34 &34 0)4D
60 6/4
0)4V
4 0 #)4D #)4V
6ISUAL INPUT
3
!)4D !)4V
%YE MOVEMENT
Fixation
Motion
Evoked saccade
Voluntary saccade
+ microstimulation in FEF Time
Fixation point Targets Motion Electrical stim Eye position 200 ms Gold and Shadlen, 2000
Y eye position (degrees)
5 Choice → alone
← Stimulation alone
0
-5
-5
0 5 10 X eye position (degrees)
Gold and Shadlen, 2000
Y eye position (degrees)
5 Choice → alone
Choice and ← stimulation ← Stimulation alone
0
-5
-5
0 5 10 X eye position (degrees)
Gold and Shadlen, 2000
Weak visual signal
4
Y eye position (degrees)
0 Choice and ← stimulation
5 Choice → alone
← Stimulation alone
-4 -4
0
4
-5
0
-5
0
5 10 X eye position (degrees)
0
4
Strong visual signal
-4 -4
0
4
Gold and Shadlen, 2000
Magnitude of deviation (degrees)
1.5
Strong visual signal
1.0 Weak visual signal 0.5
0
100
300 Viewing duration (ms)
500
Gold and Shadlen, 2000
Magnitude of deviation (degrees)
1.5
Strong visual signal
1.0 Weak visual signal 0.5
0
100
300 Viewing duration (ms)
500
Gold and Shadlen, 2000
Direction of motion map (MT)
DECISION
Leftward
Rightward Saccade vector map (FEF)
LIP, 7a
VIP
DP FEF V1 V 2
M V4 T MST FST PITd
VP VOT
PITv
T P CITd CITv
Visual input
S
AITd AITv
Eye movement
Motion Mmm .... left ... right?
Response How confident am I?
Certainty task
Topp
Tin o o o
Stimulus duration: 100-900 ms (truncated exponential) Sure target delay: 500-750 ms Sure reward / correct reward ≈ 0.8 Kiani & Shadlen, 2009
Post-decision wagering Motion Mmm .... left ... right?
Response How confident am I?
sure bet high stakes choice
Kiani & Shadlen, 2009
Kiani & Shadlen, 2009
accumulaBon-to-bound model
Choose right
Time
Momentary Momentary evidence e.g., evidence ∆Spike rate: MTRight– MTLeft
μ= kC – +
Decision variable (v)
Choose le7 Link 1992 Ratcliff & Smith, 2004 Palmer et al, 2005 Laming, 1968 Luce, 1986
ly e k i l t Mos ct e corr
tain r e c Un
Kiani & Shadlen, 2009
+B
μ= kC
Decline sure target -B
Choose sure target
Three free parameters: Decline sure target k, sensiBvity coefficient B, bound height θ, criterion on log-odds correct
Kiani & Shadlen, 2009
Model fits Kiani & Shadlen, 2009
PredicBons
Model fits Kiani & Shadlen, 2009
weak motion strength N = 70 neurons
Firing rate (normalized)
sure sure target target
dots motion
eye saccade movement
choose Tin
1.5 Waive good Decline good choose Tsure Reject bad
1
1
choose Tout
0.5
100 ms
t wo directions remember 2 dashed lines.
Kiani & Shadlen, 2009