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A hidden Markov model (HMM) consisting of a controlled Markov chain and a binary output is considered. The binary output reports the occurrence of a certain state (versus any other state) in the Markov chain. The transition matrix of the Markov chain depends on a control vector which is to be chosen to minimize a discounted infinite-horizon cost function. The information provided for decision making...
Arithmetic issues in the calculation of the Singular Value Decomposition (SVD) are discussed. Traditional algorithms using hardware division and square root are replaced with the special purpose CORDIC algorithms for computing vector rotations and inverse tangents. The CORDIC 2×2 SVD processor can be twice as fast as one assembled from traditional hardware units. A prototype VLSI implementation of...
We derive a lower bound on the interprocessor information transfer required for computing a function in a distributed network configuration. The bound is expressed in terms of the function's derivatives, and we use it to exhibit functions whose computation requires a great deal of interprocess communication. As a sample application, we give lower bounds on information transfer in the distributed computation...
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