Wilhelm, Daniel and Bruck, Jehoshua (2009) Stochastic Switching Circuit Synthesis. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechPARADISE:2008.ETR089
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In his 1938 Master's Thesis, Shannon demonstrated that any Boolean function can be realized by a switching relay circuit, leading to the development of deterministic digital logic. Here, we replace each classical switch with a probabilistic switch (pswitch). We present algorithms for synthesizing circuits closed with a desired probability, including an algorithm that generates optimal size circuits for any binary fraction. We also introduce a new duality property for series-parallel stochastic switching circuits. Finally, we construct a universal probability generator which maps deterministic inputs to arbitrary probabilistic outputs. Potential applications exist in the analysis and design of stochastic networks in biology and engineering.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||Daniel Wilhelm was supported by the U.S. Department of Homeland Security (DHS) Scholarship and Fellowship Program, administered by the Oak Ridge Institute for Science and Education (ORISE). Also available http://www.paradise.caltech.edu/papers/etr089.pdf|
|Group:||Parallel and Distributed Systems Group|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechPARADISE|
|Deposited On:||11 Sep 2008|
|Last Modified:||26 Dec 2012 13:53|
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