Results 101 to 110 of about 2,346 (122)

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.
Mehrez Habib
exaly   +5 more sources

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
exaly   +3 more sources

Numerical implementation of the QMR algorithm by using discrete stochastic arithmetic

Journal of Applied Mathematics and Computing, 2005
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D K Salkuyeh, Faezeh Toutounian
exaly   +2 more sources

On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic

Applied Numerical Mathematics, 2012
A method to estimate error bounds of algorithms in linear algebra is proposed. The method is based on discrete stochastic arithmetic (DSA). In order to extend the DSA concept to algorithms in linear algebra, estimations of numerical error bounds are derived based on DSA.
Li, Wenbin, Simon, Sven, Kieß, Steffen
exaly   +3 more sources

Discrete Stochastic Arithmetic for Validating Results of Numerical Software

Numerical Algorithms, 2004
The Discrete Stochastic Arithmetic DSA is a probabilistic approach for round-off error propagation. After a brief review of the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method, which is the basis of DSA, the concept of the “informatical zero”, also called “computational zero”, is defined.
exaly   +3 more sources

Efficient Matrix Multiplication Based on Discrete Stochastic Arithmetic. [PDF]

Reliab. Comput., 2013
Séthy Montan, Christophe Denis, Jean Marie Chesneaux, Jean Luc Lamotte   +3 more
openaire  

Confidence Intervals for Stochastic Arithmetic

ACM Transactions on Mathematical Software, 2021
Eric Petit, Pablo De Oliveira Castro, François Fevotte   +2 more
exaly  

A Monolithic Stochastic Computing Architecture for Energy Efficient Arithmetic

Advanced Materials, 2023
Saptarshi Das
exaly  

Accuracy Analysis on Design of Stochastic Computing in Arithmetic Components and Combinational Circuit

Computation, 2023
B Bala Tripura Sundari, Ashok P
exaly  

Improved arithmetic optimization algorithm and its application to discrete structural optimization

Structures, 2022
Kiarash Biabani Hamedani, Ali Kaveh
exaly