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Pattern-information fMRI and representational similarity analysis Mathematics in Brain Imaging IPAM, UCLA, 25 July 2008, Los Angeles Nikolaus Kriegeskorte Section on Functional Imaging Methods, Laboratory of Brain and Cognition National Institute of Mental Health

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Page 1: Pattern-information fMRI and representational …helper.ipam.ucla.edu/publications/mbi2008/mbi2008_7524.pdfPattern-information fMRI and representational similarity analysis Mathematics

Pattern-information fMRI and representational similarity analysis

Mathematics in Brain ImagingIPAM, UCLA, 25 July 2008, Los Angeles

Nikolaus KriegeskorteSection on Functional Imaging Methods, Laboratory of Brain and Cognition

National Institute of Mental Health

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response channels

face

sob

ject

s

...

...

stim

uli

response amplitude

functional region

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response channels

...

...

stim

uli

response amplitude

functional region

face

sob

ject

s

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Activation analysis

response channels

face

sob

ject

s

...

...

stim

uli

response amplitude

functional region

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Pattern-information analysis

response channels

face

sob

ject

s

...

...

stim

uli

response amplitude

functional region

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Goal: honor all these distinctions

response channels

face

sob

ject

s

...

...

stim

uli

response amplitude

functional region

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Talk overview

Specific neuroscientific experiments • inferior temporal object representations

in human and monkey

General methodology• every stimulus is a condition• condition-rich fMRI design• representational similarity analysis

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Related literature• multidimensional scaling

Torgerson (1958), Kruskal & Wish (1978), Shepard (1980)

• second-order isomorphism Shepard & Chipman (1970)

• first application of multidimensional scaling to fMRI data Edelman et al. (1998)

• some more recent studies with similarity analyses Laakso and Cottrell (2000) , Op de Beeck et al. (2001), Hanson et al. (2004), O’Toole et al. (2005), Tsao et al. (2006), Sereno & Lehky (2006), Aguirre (2007), Kiani et al. (2007)

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Collaborators

Bethesda, MD, USA• Marieke Mur• Douglas Ruff• Jerzy Bodurka• Peter Bandettini

Seattle, WA, USA• Roozbeh Kiani

Tehran, Iran• Hossein Esteky

Wako, Saitama, Japan• Keiji Tanaka

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Overview of experiment and analysis

• present images of real-world objects to subjects (human, monkey)

• measure the brain-activity pattern during perception of each particular image (fMRI, cell recording)

• study similarity structure of object representations focusing on inferior temporal (IT) cortex

• compare representations in human and monkey IT by relating representational similarity matrices

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Core concept representational similarity matrix

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diss

imila

rity

dissimilarity matrix dissimilarity-graph icon

experimental conditions

activity patterns

brain

p<1%5%

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Transformation of representational similarity

p<1%5%

right left

Parahippocampalplace area (PPA)

Fusiformface area(FFA)

Early visual areas

Anterior inferotemporal face-exemplar region

Kriegeskorte et al. 2007

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rubberband graph• stretched effects: thin• compressed effects: thick• effect [bits] ∝

length ⋅

tickness

Anterior inferotemporal face-exemplar region

p<0.01

Kriegeskorte et al. 2007

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96-stimulus experiment

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Brain-activity measurementsHuman• fMRI in four subjects

(>12 runs per subject)

• task: fixate, discriminate fixation-point color changes

• occipitotemporal measurement slab (5-cm thick)

• voxels: 1.95×1.95×2mm3

• 3T magnet, 16-channel coil (SENSE, acc. fac. 2)

• stimulus duration: 300ms• quick event-related (SOA=4s)

Monkey (Kiani et al. 2007)• single-cell recordings

in two monkeys• task: fixation• electrodes in anterior IT

(left in monkey 1, right in monkey 2)

• 674 cells total• stimulus duration: 105ms• rapid serial presentation• 140-ms window spike count

starting 71ms after stimulus onset

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Single-image hemodynamic response predictors

[fMRI volumes]

fMR

I sig

nal

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Design matrix

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human monkey

Stimulus quartets (multidimensional scaling, metric stress)

(1) multidimensional scaling (1-r, metric stress)(2) rigid alignment for easier comparison (Procrustes alignment)

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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Stimulus quartets (multidimensional scaling, metric stress)

human monkey

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responsepatterns

stimuli ...

...

brain

dissimilaritymatrix

000000000000

96

96

compute dissimilarity (1-correlation across space)

96

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Human IT (1000 most visually responsive voxels within anatomical IT mask)

matrices of4 subjectsaveraged

animate|

inanimate

human face 1|

human face 2

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To visualize the representation... Let's arrange the images in a figure

reflecting response-pattern similarity

Multidimensional scaling

• images close similar response patterns

• images far dissimilar response patterns

Torgerson (1958), Kruskal & Wish (1978), Shepard (1980) first application to fMRI: Edelman et al. (1998)

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Human IT (1000 visually most responsive voxels)

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Human IT (1000 visually most responsive voxels)

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Human IT (1000 visually most responsive voxels)

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Human IT (1000 visually most responsive voxels)

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Human IT (1000 visually most responsive voxels)

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Human IT (larger) (3162 visually most responsive voxels)

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Human IT (smaller) (316 visually most responsive voxels)

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Human early visual cortex (1057 visually most responsive voxels)

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Human IT (1000 visually most responsive voxels)

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similaritymatrices

activitypatterns

experimentalevents ...

... ...

human brain monkey brain

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Monkey IT (674 cells in left and right aIT, windowed spike count,

fixation task, 2 monkeys)

data from Roozbeh Kiani et al. (2007), Journal of Neurophysiology

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average of 4 subjectsfixation-color task316 voxels

average of 2 monkeysfixation task

674 cells

Kriegeskorte et al. (submitted)

monkeyhuman

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Stimulus arrangements reflecting response-pattern similarity

(1) multidimensional scaling (1-r, metric stress)(2) rigid alignment for easier comparison (Procrustes alignment)

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monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

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monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

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average of 4 subjectsfixation-color task316 voxels

average of 2 monkeysfixation task

>600 cells

Kriegeskorte et al. (under revision)

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Man-to-monkey correlation of dissimilarites

monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

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monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

Man-to-monkey correlation of dissimilarities

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monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

Man-to-monkey correlation of dissimilarities

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monkey IT dissimilarity (1-r)

hum

an IT

dis

sim

ilarit

y(1

-r)

Man-to-monkey correlation of dissimilarities

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significant also...• within faces• within bodies • within humans• within nonhuman animals

not significant...• within human faces• within animal faces

Man-to-monkey correlation of dissimilarites

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Representational connectivityEVC LO

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EVC LO

bilateral EVC right LO?

?

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EVC LO

animateinanimate

(1) multidimensional scaling (1-r, metric stress)

(2) rigid alignment for easier comparison (Procrustes method)

bilateral EVC

right LO

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EVC LO

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Summary so far...• Natural categorical structure in primate IT

– top-level distinction: animate | inanimate – faces form a separate tight cluster

• Man-monkey match of IT representational similarity– matching major categorical clusters– matching within-category similarity structure

InterpretationHuman and monkey IT may host a common code for continuous and categorical object information.

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But questions remain...

• Can the apparent categorical structure be explained by low-level features?

• More generally, what kind of computational model can explain our findings?

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From description to explanation...

• use a range of models to predict representational similarity

• models can be computational, conceptual, or based on behavioral data

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similaritymatrices

activitypatterns

experimentalevents ...

... ...

brain model

compare

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Model dissimilarity matrices

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rank (1-correlation)

human IT

HMAX model V1 model

monkey IT animate-inanimate

stimulus image

Riesenhuber& Poggio 2002

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perfectly matching dissimilarity matrix

noiseless true model

retest (with different subjects)

Early visual cortexbrain regionnaive modelneuro-model

category model

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noiseless true model

retest (with different subjects)

Human ITde

viat

ion

from

hum

an IT

dis

sim

ilarit

y m

atrix

(dissimilarity SNR=1.29) brain regionnaive modelneuro-model

category model

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Simultaneously relating multiple representational similarity matrices

multidimensional scaling(metric stress, 1-r(Spearman))

brain regionnaive modelneuro-model

category model

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Summary of model-based analyses

• We compared a range of low- and intermediate-level model representations to the IT representation.

• None of them could explain the categorical clustering we saw in human and monkey IT.

InterpretationAn IT model probably needs to include category- specific visual knowledge – as might be acquired by supervised learning.

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Methodological concepts

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Searchlightmapping

Kriegeskorte et al. 2006

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Searchlightmapping

Kriegeskorte et al. 2006

(p2 -p1 )T -1(p2 -p1 )Σ

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Representational-similarity searchlight mapping

searchlight local fMRIsimilarity matrix

modelsimilarity matrix

compare

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behavioral data• reaction time• errors• explicit judgements

brain-activity data• cell recordings • fMRI• EEG, MEG

computational models• symbolic models• connectionist models• biological neural models

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behavioral data• reaction time• errors• explicit judgements

brain-activity data• cell recordings • fMRI• EEG, MEG

representationalsimilarity matrix

computational models• symbolic models• connectionist models• biological neural models