Results 241 to 250 of about 8,125 (267)

Hardware Implementation of Discrete Stochastic Arithmetic

Numerical Algorithms, 2004
In this paper we present a hardware implementation of the Discrete Stochastic Arithmetic (DSA) which is based on CESTAC (Controle et Estimation STochastique des Arrondis de Calculs), a method of controlling round-off errors in floating-point scientific computations.
Chotin-Avot, Roselyne, Mehrez, Habib
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Impulses and stochastic arithmetic for signal processing

2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002
Explores the use of Poisson point processes and stochastic arithmetic to perform signal processing, functions. Our work is inspired by the asynchrony and fault tolerance of biological neural systems. The essence of our approach is to code the input signal as the rate parameter of a Poisson point process, perform stochastic computing operations on the ...
John F. Keane, Les E. Atlas
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Stochastic Arithmetic: s-spaces and Some Applications

Numerical Algorithms, 2004
It has been recently shown that computation with stochastic numbers as regard to addition and multiplication by scalars can be reduced to computation in familiar vector spaces. In this work we show how this can be used for the algebraic solution of linear systems of equations with stochastic right-hand sides.
Svetoslav Markov, René Alt, Jean Luc Lamotte   +2 more
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Parallelization of discrete stochastic arithmetic on multicore architectures

2013 10th International Conference on Information Technology: New Generations, 2013
Discrete Stochastic Arithmetic (DSA) estimates round-off error propagation in a program. It is based on a synchronous execution of several instances of the program to control using a random rounding mode. In this paper we show how we can take advantage of multicore processors, which are nowadays widespread, to reduce the cost of DSA in terms of ...
Fabienne Jézéquel, Jean Luc Lamotte, Olena Chubach   +2 more
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Accurate Synthesis of Arithmetic Operations with Stochastic Logic

2016 IEEE Computer Society Annual Symposium on VLSI (ISVLSI), 2016
In this study, we propose a method to overcome the main drawback in stochastic computing, low accuracy or related long computing times. Our method exploits dependency in stochastic bit streams with the aid of feedback mechanisms. Accurate (error-free) arithmetic multiplier and adder circuits are implemented.
Ensar Vahapoglu, Mustafa Altun
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Arithmetic simulation of stochastic processes

Lithuanian Mathematical Journal, 1984
Given a sequence of additive functions \(f_ n(m)\), with a suitable choice of the parameter \(y_{tn}\) \((y_{0n}=0\), \(y_{nn}=1)\) one can define a sequence of stochastic processes \(h_ n(m,t)=\sum_{p^ k \| m, p\leq y_{tn}}f_ n(p^ k).\) Here t is the time, the integers \(m\leq n\), with the uniform measure \(\nu_ n\), the elementary events.
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Input Multiplexing in Artificial Neurons Employing Stochastic Arithmetic

Neural Processing Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the numerical solution to linear problems using stochastic arithmetic

Proceedings of the 2006 ACM symposium on Applied computing, 2006
It has been recently shown that computation with stochastic numbers as regard to addition and multiplication by scalars can be reduced to computation in familiar vector spaces. This result allows us to solve certain practical problems with stochastic numbers and to compare algebraically obtained results with practical applications of stochastic numbers,
René Alt, Jean Luc Lamotte, Svetoslav Markov   +2 more
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Stochastic arithmetic implementations of neural networks with in situ learning

IEEE International Conference on Neural Networks, 2002
The implementation of artificial neural networks using stochastic arithmetic capable of in situ learning is described. Stochastic arithmetic uses values encoded as a pulse density, and allows addition, multiplication, and the nonlinearity to be implemented in a very small amount of digital hardware. A VLSI implementation of such a network is capable of
Jeffrey A. Dickson, Robert D. McLeod, Howard C. Card   +2 more
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A stochastic arithmetic for reliable scientific computation

Mathematics and Computers in Simulation, 1993
Abstract After having reviewed the CESTAC (Controle et Estimation STochastique des Arrondis de Calculs) method, which uses a probabilistic approach to round-off error analysis, a new arithmetic called stochastic arithmetic is presented in this paper.
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