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A Monolithic Stochastic Computing Architecture for Energy Efficient Arithmetic [PDF]
Advanced Materials, 2022 AbstractAs the energy and hardware investments necessary for conventional high‐precision digital computing continue to explode in the era of artificial intelligence (AI), a change in paradigm that can trade precision for energy and resource efficiency is being sought for many computing applications.
Harikrishnan Ravichandran +5 more
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Scaled Population Arithmetic for Efficient Stochastic Computing
2020 25th Asia and South Pacific Design Automation Conference (ASP-DAC), 2020We propose a new Scaled Population (SP) based arithmetic computation approach that achieves considerable improvements over existing stochastic computing (SC) techniques. First, SP arithmetic introduces scaling operations that significantly reduce the numerical errors as compared to SC.
Jiang Hu
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Stochastic arithmetic and verification of mathematical models
, 2009 Stochastic arithmetic enables one to estimate round-off error propagation using a probabilistic approach. With Stochastic arithmetic, the numerical quality of any simulation program can be controlled. Furthermore by detecting all the instabilities which may occur at run time, a numerical debugging of the user code can be performed.
Chesneaux, Jean-Marie +2 more
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Numerical Study of Algebraic Problems Using Stochastic Arithmetic
, 2008 A widely used method to estimate the accuracy of the numerical solution of real life problems is the CESTAC Monte Carlo type method. In this method, a real number is considered as an N-tuple of Gaussian random numbers constructed as Gaussian approximations of the original real number.
René Alt +2 more
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Abstract structures in stochastic arithmetic
, 2006 In this work we study relevant ringoid structures in stochastic arithmetic involving multiplication. The study of such structures are needed in order to solve linear problems involving stochastic numbers in the matrix and not only in the right-hand side as it was formerly studied.
Alt, René +2 more
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On s-convex stochastic extrema for arithmetic risks
Insurance: Mathematics and Economics, 1999 The authors deal with a class of discrete stochastic orderings in the space of random variables. In particular, they follow (their as well as the others authors) former results on this topic. A brief survey of the former results is given in the introduction.
Denuit, Michel +2 more
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Towards high performance stochastic arithmetic
, 2014 Because of the finite representation of floating-point numbers in computers, the results of arithmetic operations need to be rounded. The CADNA library [1],based on discrete stochastic arithmetic [2], can be used to estimate the propagation of rounding errors in scientific codes.
Eberhart, Pacôme +3 more
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Stochastic rounding and reduced-precision fixed-point arithmetic for solving neural ordinary differential equations [PDF]
Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 2020 Mantas Mikaitis, Steve Furber
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WEIGHTED QUASI-ARITHMETIC MEANS AND A RISK INDEX FOR STOCHASTIC ENVIRONMENTS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011 In this paper, the weighted quasi-arithmetic means are discussed from the viewpoint of utility functions and downward risks in economics. Representing the weighting functions by probability density functions and the conditional expectations, an index for downward risks in stochastic environments is derived.
YUJI YOSHIDA
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