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Allman & Kaas, 1981 Zeki, 1978 IT neurons are tolerant to identity-preserving transformations Position Scale Context Rust & DiCarlo, 2012 Selectivity and invariance


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Allman & Kaas, 1981 Zeki, 1978

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Position Scale Context

IT neurons are tolerant to identity-preserving transformations

Rust & DiCarlo, 2012

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The geometry of selectivity and invariance. The three axes are three image dimensions (e.g., the values of three pixels in an image). Real images require several thousand dimensions, but we use three for simple visualization. Any point in the space corresponds to a different image. The gray surface represents a continuous subset, or manifold, of images of a particular object. If a hypothetical neural population effectively encodes this object's identity, all object images from this manifold will yield patterns of neural responses that are distinguishable from the patterns of responses induced by other sets of images. Moving along the surface of the manifold changes the image itself but maintains the ability of the neural population to discriminate the image from others. This is a direction of invariance. Moving away from, or orthogonal to, the surface of the manifold changes the image in a way that prevents the population from effectively discriminating. This is a direction of selectivity. The manifold shown here corresponds to a set of population responses that are selective for proboscis monkeys, not just for image patches with similar color and texture, but are also invariant to changes in size (near vs far) and context (face only vs face and body).

Selectivity and invariance

Freeman & Ziemba, 2011

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Object tangling

DiCarlo & Cox, 2007

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Untangling object manifolds along the ventral visual stream

DiCarlo & Cox, 2007

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The form processing pathway maintains an “equally distributed” representation of images

V4 pIT V1 V2 IT

...

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3410 Neurobiology: Sheinberg and Logothetis

  • Proc. Natl. Acad. Sci. USA 94 (1997)
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Correlation of IT activity and perceptual state during binocular rivalry (Sheinberg and Logothetis, 1997)

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V1 V2 V4 20 40 60 80 100 Excited when stimulus suppressed Excited when stimulus perceived Frequency (%) MT (V5) TPO, TEm, TEa

Correlation of IT activity and perceptual state during binocular rivalry (Logothetis, 1998)

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Ungerleider & Mishkin, 1982

Ventral pathway Form, recognition, memory Dorsal pathway Space, motion, action

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Why motion?

George Mather, Patrick Cavanagh, and others

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Figure 1 First demonstration of direction selectivity in macaque MT/V5 by Dubner & Zeki (1971). (a) Neuronal responses to a bar of light swept across the receptive field in different directions (modified from figure 1

  • f Dubner & Zeki 1971). Each trace shows the spiking activity of the neuron as the bar was swept in the

direction indicated by the arrow. The neuron’s preferred direction was up and to the right. (b) Oblique penetration through MT (modified from figure 3 of Dubner & Zeki 1971) showing the shifts in preferred direction indicative of the direction columns subsequently demonstrated by Albright et al. (1984). See also Figure 4.

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Maunsell & V an Essen, 1983

MT

Hubel & Wiesel, 1968

V1

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  • ฀฀

Movshon & Newsome, 1996

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฀฀ ฀

Movshon & Newsome, 1996

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Figure 6 Center-surround interactions in MT. (A) Effect of contrast on center-surround interactions for one MT

  • neuron. When tested with high-contrast random dots (RMS contrast 9.8 cd/m2) the neuron responded
  • ptimally to a circular dot patch 10◦ in diameter and was strongly suppressed by larger patterns. The

same test using a low-contrast dot pattern (0.7 cd/m2) revealed strong area summation with increasing

  • size. (B) Population of 110 MT neurons showing the strength of surround suppression measured at both

high and low contrast. Surround suppression was quantified as the percent reduction in response between the largest dot patch (35◦ diameter) and the stimulus eliciting the maximal response. Each dot represents data from one neuron; the dashed diagonal is the locus of points for which the surround suppression was unchanged by contrast. The circled dot is the cell from panel A. (C) Asymmetries in the spatial

  • rganization of the suppressive surround (after Xiao et al. 1997). Different kinds of surround geometry

are potentially useful for calculating spatial changes in flow fields that may be involved in the computation of structure from motion. Neurons whose receptive fields have circularly symmetric surrounds (top) are postulated to underlie figure-ground segregation. The first- (middle) and second-order (bottom) directional derivatives can be used to determine surface tilt (or slant) and surface curvature, respectively (Buracas & Albright 1996). Panels A and B are from Pack et al. 2005. Center-surround interactions in MT

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1136

  • J. H. R. MAUNSELL

AND

  • D. C. VAN

ESSEN

100 75 AVERAGE RATE OF 50 FIRING

(

i mpulses /

I- S) 25-

VT / / +

  • 0’

I 0 J?

  • 0 ,,1,,,,,,,

11-1111111111111111-llllllllllllllllllll 05 . 2 8 32 128 512 SPEED (deg/s 1

1. .* A . . *- A. Il... . . . rL. I I I I I I

05 . 1 A a+

  • A+

lk

  • L

L h UUICL J-d-- 2 4 8 16 32 64 128 256 512

  • FIG. 5.

Responses

  • f a representative

unit in MT to stimuli moving in its preferred direction at different speeds. In this and all subsequent plots the speed axis is logarithmic. Bars indicate the standard errors

  • f the mean

for five repetitions

  • f each speed.

A dashed line marks the background rate

  • f firing.

This unit, like most in MT, had a sharp peak in its response curve. Summed response histograms in the lower half of the figure show that the peak rate

  • f firing

closely follows the average rate

  • f firing.

Tic marks under each histogram denote times

  • f stimulus
  • nset and offset.

The receptive field was 15” across and each stimulus traversed 20”.

stimulus repetitions to achieve a satisfactory standard error of the mean. Responses from four units that showed narrow tuning for stimulus speed are illus- trated in Fig. 6A. The abscissa is again log- arithmic. All these units showed inhibition to speeds that were far from their preferred speed, and portions of the tuning curves that are below background rate firing are indi- cated by dashed lines. In the overall popu- lation, a few units had responses that re- mained high toward one end of the range or the other, but the great majority had a clear

  • peak. Inhibition

at speeds far from the op- timum was seen only occasionally

  • n the

slow side of the peak but was more common

  • n the fast side. There was no obvious cor-

relation between the sharpness of tuning for speed and that for direction in our sample. Many units were examined with manual monocular stimulation for evidence of dif- ferent preferred monocular

  • speeds. As with

preferred direction, the monocular preferred speeds were similar to one another and to the binocular value. Orban et al. (41) reported that neurons in cat areas 17 and 18 could be grouped into four distinct classes based on the speeds to

Speed tuning

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Movshon, Adelson, Gizzi & Newsome, 1985

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Movshon, Adelson, Gizzi & Newsome, 1985

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Gratings, plaids, and coherent motion

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Movshon, Adelson, Gizzi & Newsome, 1985

Grating response Predicted plaid response

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Grating responses Plaid responses V1 cell

90o

MT component cell

90o

MT pattern cell

135o Movshon, Adelson, Gizzi & Newsome, 1985

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Movshon & Newsome, 1996

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Khawaja, Tsui & Pack, 2009

MST also contains a high proportion of pattern cells

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Khawaja, Tsui & Pack, 2009

Local field potentials may reveal stages in pattern computation

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Khawaja, Tsui & Pack, 2009

Local field potentials may reveal stages in pattern computation

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Movshon, Adelson, Gizzi & Newsome, 1985

Grating responses Plaid responses MT pattern cell Components of the optimal plaid Plaids containing the optimal grating

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Movshon et al, 1985 Hubel & Wiesel, 1962

Simple cortical cell Lateral geniculate cells

ωt ωx ωy ωt ωx ωy

Simoncelli & Heeger., 1998

In search of a simple model

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A simple and (mostly) feedforward model +

  • +

Retinal image

+ – – + –

Linear

  • perator

Gain control Output nonlinearity Linear

  • perator

Gain control Output nonlinearity

Moving image

V1 MT

ωt ωx ωy

Simoncelli & Heeger., 1998

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1D motion stimuli: gratings

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2D motion stimuli: plaids

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2D motion stimuli: textures

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1D motion stimuli

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฀฀ ฀฀ ฀฀ ฀

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Is pattern motion computed globally?

Majaj, Carandini & Movshon, 2007

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฀฀ ฀฀ ฀ ฀฀

Majaj, Carandini & Movshon, 2007

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Majaj, Carandini & Movshon, 2007

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Pattern motion is computed locally

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0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 Time (s)

549l009

Global preferred Local preferred Global preferred Local null Global null Local preferred Global null Local null

Firing rate (imp/s)

How do local and global motion signals interact?

Hedges, Gartshteyn, Kohn, Rust, Shadlen, Newsome & Movshon, 2011

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0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 Time (s)

549l009

Global preferred Local preferred Global preferred Local null Global null Local preferred Global null Local null

Firing rate (imp/s)

How do local and global motion signals interact?

Hedges, Gartshteyn, Kohn, Rust, Shadlen, Newsome & Movshon, 2011

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0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 Time (s)

549l009

Global preferred Local preferred Global preferred Local null Global null Local preferred Global null Local null

Firing rate (imp/s)

How do local and global motion signals interact?

Hedges, Gartshteyn, Kohn, Rust, Shadlen, Newsome & Movshon, 2011

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x t ωx ωt

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0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 0.5 1.0 50 Time (s)

549l009

Firing rate (imp/s)

How do local and global motion signals interact?

฀ ฀ ฀ ฀ ฀ ฀ ฀ ฀

฀ ฀

  • ฀฀

฀฀ ฀฀

  • Hedges et al, 2011
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50 50 50 50 50 50 50 3 50 3 3 3 10 20 40 80 160 320 640 Time (s)

Firing rate (ips) Temporal offset (ms)

Global preferred Local preferred Global preferred Local null Global null Local preferred Global null Local null 210 105 52.5 26.3 13.1 6.6 3.3 ∞

Global speed (deg/s)

Hedges et al, 2011

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n = 101

  • 1.5
  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 Local dominance 0.00 0.05 0.10 0.15 Proportion of cells Purely global Purely local How do local and global motion signals interact?

Hedges, Gartshteyn, Kohn, Rust, Shadlen, Newsome & Movshon, 2011

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฀฀ ฀฀

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A simple and (mostly) feedforward model +

  • +

Retinal image

+ – – + –

Linear

  • perator

Gain control Output nonlinearity Linear

  • perator

Gain control Output nonlinearity

Moving image

V1 MT

ωt ωx ωy

Simoncelli & Heeger, 1998; Rust, Mante, Simoncelli & Movshon, 2006

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฀฀

  • ฀฀
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฀฀ ฀฀

฀ ฀

Rust, Mante, Simoncelli & Movshon, 2006

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Direction-interaction: Gratings

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Direction-interaction: Plaids

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Direction-interaction: One common component

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Direction-interaction: Common axis

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฀฀ ฀฀

฀ ฀

Rust, Mante, Simoncelli & Movshon, 2006

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Rust, Mante, Simoncelli & Movshon, 2006

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฀฀฀ ฀฀

฀฀

  • ฀฀
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฀฀฀

  • ฀฀฀฀

฀ ฀฀฀฀ ฀ ฀฀฀ ฀ ฀฀฀

  • Rust, Mante, Simoncelli & Movshon, 2006
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ωt ωx ωy ωt ωx ωy ωt ωx ωy

MT receptive field

Limitations of the approach

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Spatial and spectral structure of motion-enhanced natural movies

Nishimoto & Gallant, 2011

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Nishimoto & Gallant, 2011

“Motion-enhanced” natural movies

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Nishimoto & Gallant, 2011

“Motion-enhanced” natural movies, and friends

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Analysis of MT neurons using a “boosted” model

Nishimoto & Gallant, 2011

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Estimated spectral receptive fields of four MT neurons

Nishimoto & Gallant, 2011

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ωt ωx ωy ωt ωx ωy ωt ωx ωy

MT neurons vary in the degree to which their excitatory spectral receptive fields form a ring within the optimal velocity plane.

Nishimoto & Gallant, 2011

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Two neural correlates of consciousness

Ned Block

Opinion

TRENDS in Cognitive Sciences Vol.9 No.2 February 2005

V1 (striate cortex) V2 V3 V4 V5 (MT) V5A V3A Activation

Block’s conjecture MT is “the core phenomenal neural correlate of consciousness for the visual experiential content as of motion”

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Local and global motion signals