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Stochastic FSMs and SCC

Stochastic FSMs and SCC. 2014/03/31 Chia -Yao. Outline. Stochastic finite state machines SCC in stochastic finite state machine Future work. Stochastic FSMs. Hyperbolic tangent function:. Stochastic FSMs. Stochastic FSMs.

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Stochastic FSMs and SCC

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  1. Stochastic FSMs and SCC 2014/03/31 Chia-Yao

  2. Outline • Stochastic finite state machines • SCC in stochastic finite state machine • Future work

  3. Stochastic FSMs • Hyperbolic tangent function:

  4. Stochastic FSMs

  5. Stochastic FSMs • The transition matrix T of a sequential circuit can be interpreted as a Markov chain, which is an FSM with probabilistic state transitions • The stationary state π of a Markov chain is an eigenvector of T with the defining property

  6. Stochastic FSMs • Example: Solving equation [S0 S1 S2 S3]

  7. Stochastic FSMs X [S0 S1 S2 S3] = [S0 S1 S2 S3]

  8. Stochastic FSMs • Pros: • Approximate non-polynomial function more accurately than combinational SC • Can mathematically analyze the result of FSM

  9. Stochastic FSMs • Cons: • Ad hoc design: no efficient way known to synthesis arbitrary function • Can only decompose the target function into sub-functions which can be implemented using existing stochastic circuit Given a FSM Mathematically analyze its function ？ Given a function Find the FSM of the function

  10. SCC in stochastic FSMs • Signal correlations appear in FSMs • For instance, if the state 11 is never used (happened), the signal w0 and w1 are negative correlated

  11. Future Work • Study papers about FSMs and SCC • Study Markov chain

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