Stochastic pulse coded arithmetic [PDF]
Among the different pulse codification techniques, stochastic pulse codification has its own arithmetic based on the similarity between Boolean algebra and statistical algebra. Summation and multiplication are the two basic arithmetic operations treated in depth in the literature.
Toral, S. L. +2 more
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Stochastic Arithmetic Theory and Experiments [PDF]
Stochastic arithmetic has been developed as a model for exact computing with imprecise data. Stochastic arithmetic provides confidence intervals for the numerical results and can be implemented in any existing numerical software by redefining types of the variables and overloading the operators on them. Here some properties of stochastic arithmetic are
Alt, René +2 more
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Stochastic arithmetic complex number operators [PDF]
This work presents a simple study of stochastic arithmetic complex number operators for addition and multiplication. Their usage is demonstrated by design of a sum of product circuit As the stochastic complex number operators need more control random streams than stochastic rational number operators, we optimized the number of random generators used in
Šťastný, Jakub
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Pricing Arithmetic Asian Options under Hybrid Stochastic and Local Volatility [PDF]
Recently, hybrid stochastic and local volatility models have become an industry standard for the pricing of derivatives and other problems in finance. In this study, we use a multiscale stochastic volatility model incorporated by the constant elasticity ...
Min-Ku Lee +2 more
doaj +3 more sources
A Comparative Study between Discrete Stochastic Arithmetic and Floating-Point Arithmetic to Validate the Results of Fractional Order Model of Malaria Infection [PDF]
The researchers aimed to study the nonlinear fractional order model of malaria infection based on the Caputo-Fabrizio fractional derivative. The homotopy analysis transform method (HATM) is applied based on the floating-point arithmetic (FPA) and the ...
Samad Noeiaghdam +3 more
doaj +2 more sources
Arithmetic Circuits in Unipolar Format for Stochastic Computing (SC)
Stochastic Computing (SC) is a computational technique that executes arithmetic operations on a random bitstream basis. Traditionally, stochastic arithmetic circuits are found according to probability equations, however not all arithmetic operations can ...
Pilin Junsangsri, Fabrizio Lombardi
doaj +2 more sources
Quasilinear Structures in Stochastic Arithmetic and their Application [PDF]
Stochastic arithmetic has been developed as a model for computing with imprecise numbers. In this model, numbers are representedby independent Gaussian variables with known mean value and standarddeviation and are called stochastic numbers. The algebraic properties of stochastic numbers have already been studied byseveral authors.
Markov, Svetoslav +2 more
openaire +4 more sources
Algorithms for Stochastically Rounded Elementary Arithmetic Operations in IEEE 754 Floating-Point Arithmetic [PDF]
We present algorithms for performing the five elementary arithmetic operations in floating point arithmetic with stochastic rounding, and demonstrate the value of these algorithms by discussing various applications where stochastic rounding is beneficial.
Massimiliano Fasi, Mantas Mikaitis
openaire +4 more sources
Neural Network Precision Tuning Using Stochastic Arithmetic
Neural networks can be costly in terms of memory and execution time. Reducing their cost has become an objective, especially when integrated in an embedded system with limited resources. A possible solution consists in reducing the precision of their neurons parameters.
Ferro, Quentin +4 more
openaire +6 more sources
Optimizing Artificial Neural Networks to Minimize Arithmetic Errors in Stochastic Computing Implementations [PDF]
Deploying modern neural networks on resource-constrained edge devices necessitates a series of optimizations to ready them for production. These optimizations typically involve pruning, quantization, and fixed-point conversion to compress the model size ...
Vincent Canals +6 more
core +2 more sources

