Wavenets John Chapin MIT x x x x x x x x x y z y z y - - PowerPoint PPT Presentation

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Wavenets John Chapin MIT x x x x x x x x x y z y z y - - PowerPoint PPT Presentation

Wavenets John Chapin MIT x x x x x x x x x y z y z y y z y y z z z z A A 1 2 B 1:z + 2:s 3:t 3 A A z s 1 2 1 2 B B 1:z + 2:s 3:t 1:z + 2:s 3:t 3 3 A A 1 2 1 2 B B 1:z + 2:s 3:t 1:z +


slide-1
SLIDE 1

Wavenets

John Chapin MIT

x x x y y x x x z z x x x y z y z z y z y z

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SLIDE 2

A A

1:z + 2:s → 3:t 1 2 3

B

1:z + 2:s → 3:t 1 2 3

A B z

1:z + 2:s → 3:t 1 2 3

A B s

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SLIDE 3

1:z + 2:s → 3:t 1 2 3

A B

1:z + 2:s → 3:t 1 2 3

A B t

1:z + 2:s → 3:t 1 2 3

A B x x y z y z y z y x

(empty)

1:z + 2:s → 3:t 1 2 3

A B x s x s y z s y z s x s

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SLIDE 4

1:z + 2:s → 3:t 1 2 3

y z s A B

1:z + 2:s → 3:t 1 2 3

y t A B y t y t t y t y t y t s

1:z + 2:s → 3:t 1 2 3

A B x s t

1:z + 2:s → 3:t 1 2 3

A B x

(empty)

y x

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SLIDE 5

1:z + 2:s → 3:t 1 2 3

x s A B

1:z + 2:s → 3:t 1 2 3

t s x A B z

1:z + 2:s → 3:t 1 2 3

x s A B Wavenet = + Superposition + Wave function collapse Synchronous circuit + Conservation of energy

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SLIDE 6

Wavenet = A simple primitive that provides: Global concurrency control Automatic resource management Dining philosophers solution

p:think => left:fork + right:fork p:hungry + left:fork + right:fork => p:eat p:hungry --> p:tryagain (from philosopher) p p (to philosopher) right:fork => table:fork left:fork => table:fork table:fork => right:fork table:fork => left:fork table:fork --> table:fork left left right right table table fork right right left left As many philosophers and forks as desired

Dining philosophers solution

p:think => left:fork + right:fork p:hungry + left:fork + right:fork => p:eat p:hungry --> p:tryagain (from philosopher) p p (to philosopher) right:fork => table:fork left:fork => table:fork table:fork => right:fork table:fork => left:fork table:fork --> table:fork left left right right table table fork right right left left As many philosophers and forks as desired

The challenge Efficient implementation? Offline analysis Hardware support Conservation of energy = A powerful primitive that solves many different problems Computing the latching is NP-complete

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SLIDE 7

Batch programs Input Processing Output Halt Turing machines Lambda calculus Procedures Parallel servers Run forever Maintain invariants Respond to multiple inputs in parallel Wavenets Calculus?

  • Prog. abstraction?

Why? Take off the Turing blindfold!

http://sdg.lcs.mit.edu/wavenets