the machine insidecs.brown.edu/people/mjblack/talks/inaugfinal.pdf · 2001. 10. 15. · curt...

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THE MACHINE INSIDE

“VOYAGES OF DISCOVERY”

ELIE BIENENSTOCK, MICHAEL J. BLACK,

MIJAIL SERRUYA, & DAVID SHEINBERG

BROWN UNIVERSITY

Applied Mathematics Computer Science Neuroscience

Why study the brain?

BRAINS IN ACTION

FACE RECOGNITION

M2VTS Multimodal Face Database

English:

French:

? ? ?

TRANSLATION

Les places américaines sont également attendues en baisse.

The American places are also awaited in fall.

“The translation you are seeing wasproduced automatically by state-of-the-art technology without the intervention ofhuman translators”

XEROX ALTO 1973

Dell workstation, 2001

BRAIN-LIKE COMPUTERS

Image: Jonathan Oliver

BRAIN-COMPUTER INTERFACES

“If I could find … a code which translates the relationbetween the reading of the encephalograph and the mentalimage …the brain could communicate with me.”

Curt Siodmak, 1942

Brain

“Mad” scientist Nancy Reagan

NEURAL PROSTHETICS

Sensation

Action

NEURAL PROSTHETICS

Sensation

Action

Why is studying the brain difficult?

3D TOPOLOGY IN PHYSICS

interactions between constituentsof physical systems take place in

3-D topology

University of Glasgow

gallium arsenide

3D TOPOLOGY IN BIOLOGY

A. Pohorille and C. Henze, NASA Advanced Supercomputing Facility

• interactions takeplace in 3-D topology• simulation onsupercomputer takesmonths

four stages of foldingof poly-leucine into analpha-helix andinsertion into amembrane

nD TOPOLOGY OF CORTEX

n > 3

EXPLOSION OF CORTEX

VISUALIZING THE PLAYERS

Single cells ofthe nervous system

NEURON

BRAIN VERSUS COMPUTER

100,000,000Transistors

Computational Elements

100,000,000,000Neurons

Speed (operations/second/element)

30-300 1.5 * 109

MOORE’S LAW

Intel

MASSIVE CONNECTIVITY

SYNAPSES

LONG DISTANCE CALLS

Conturo et al., 1999

IF EACH NEURON WERE A PERSON…

Cortex would be:

• a world of about 1011 people,

• each person communicating through a direct high-speed private line with about 103 friends,

• about half of one’s friends living in the same city,

• but many living in other continents …

DEGREES OF SYNAPTIC SEPARATION

Drawings: James Yang

1D graph random graph

“small-world” graph

(Duncan Watts, Steven Strogatz)

How do you study the brain?

THE EEG

SINGLE UNIT ACTIVITY

1/10 mm

2/1000’s second

Spikes

CELL ENSEMBLES

PATTERNS IN MUSIC

PATTERNS IN NEURAL ACTIVITY

LANGUAGE OF THE BRAIN

Language of the brain. Language of the computer.

Interpretation

“Translation”

AMBIGUOUS SIGNALS

INFERENCE

Ambiguous measurements

?Inference

“Prior” knowledgeabout how brains work.

“Prior” knowledgeabout the environment

History of measurements andinterpretations

THE MATHEMATICS OF MIND

))|()|(()|( 1 iggpgfpp vivv vvfg ηκ =∏∏=

tt Axy =

))))(),((|(log( ttrgfp tt θΣ−

∏=v

vvv gpgfpp )|()|()|( gfg κ

222

3

)(

2)(

ggp

∆+=∆

σπσ

−−=2

2

2

)(exp

2

1)|(

σσπgf

gfpG

gfP eg

fgfp −=

!

1)|(

Brain Science Today

ALGORITHMS FOR VISION

pixel

pixel

pixelpixel

pixelpixelpixel pixel

pixel

pixelpixel

pixel

pixel

blob

blob blob blob

blob

blobblob

line

line line

line

E

DECODING NEURAL MESSAGES

10ms

Performance

Eye Position

Reaction Time

BEHAVIOR

NEURAL

SIGNAL

NEURAL REPRESENTATIONS

ACTIVE VISUAL PROCESSING

NEURONS AND BEHAVIOR

MODELING NEURAL FUNCTION

Simultaneously recordhand position, velocity,and neural activity inmotor cortex.

MODELING NEURAL FUNCTION

direction

speed0

3

0

3

time…

direction (radians)

spee

d(c

m/s

)

Cell 3

Spik

etr

ains

NEURAL ACTIVITY

−π πdirection (radians)

0

12

spee

d(c

m/s

)

Cell 3 Cell 16 Cell 19

Is there some “true” underlying response function?

MODELING NEURAL ACTIVITY

angle (radians)

Cell 3 Cell 16 Cell 19

INFERENCE FROM ACTIVITY

speed

?direction

t

Inference

PredictionNeural Data

INFERENCE FROM ACTIVITY

speed

?direction

t

“prior” knowledge

PredictionNeural Data

A NEURAL PROSTHETIC

EEG

single andmulti-neuronactivity

Voluntarycontrolsignal

mathematicalalgorithm

Computer cursorand

keyboard entryRobotic arm

Stimulation of Muscles,Spinal Cord, and Brain

NEURAL-PROSTHETIC LIMBS

Our Goals

MUSIC OF THE BRAIN

Notes

Chords

Composition rules

UNCOVERING THE MECHANISM

THE MAN WHO MISTOOK HIS

COMPUTER FOR A HAND

Hybrid, brain-computer, systems.

new physical pathways forinteracting with the world

the computer learns about thebrain while the brain is constantlychanging

Metaphor:

from “desktop” to “body part”.

OUR BODIES OURSELVES?

Probotics/Jim Judkis

Service robots under neural control.

Sensation and action at a distance.

Stimulating the brain.

Ethics, liminality, fear,and the “uncanny”.

Honda robot

FUTURE

Music

Mechanism

Machine

THANKS

J. P. Donoghue, NeuroscienceN. Hatsopoulos, NeuroscienceW. Patterson, EngineeringA. Nurmikko, EngineeringG. Friehs, Brown Medical SchoolS. Geman, Division of Applied MathematicsY. Gao, Division of Applied MathematicsM. Fellows, NeuroscienceL. Paninski, NYU, Center for Neural ScienceN.K. Logothetis, Max Planck Institute, Tuebingen

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