Search Results - "Joldes, Mioara"

Efficient Floating-Point Implementation of the Probit Function on FPGAs by Joldes, Mioara, Pasca, Bogdan

“…Non-uniform random number generators are key components in Monte Carlo simulations. The inverse cumulative distribution function (ICDF) technique provides a…”
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Rigorous uniform approximation of D-finite functions using Chebyshev expansions by BENOIT, ALEXANDRE, JOLDEŞ, MIOARA, MEZZAROBBA, MARC

“…It is well known that the order- n truncation of the Chebyshev expansion of a function over a given interval is a near-best uniform polynomial approximation of…”
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Algorithms for Manipulating Quaternions in Floating-Point Arithmetic by Joldes, Mioara, Muller, Jean-Michel

“…Quaternions form a set of four global but not unique parameters, which can represent three-dimensional rotations in a non-singular way. They are frequently…”
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Certified and Fast Computation of Supremum Norms of Approximation Errors by Chevillard, S., Joldes, M., Lauter, C.

“…In many numerical programs there is a need for a high-quality floating-point approximation of useful functions f, such as such as exp, sin, erf. In the actual…”
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Special Section on "Emerging and Impacting Trends on Computer Arithmetic" by Joldes, Mioara, Lamberti, Fabrizio, Nannarelli, Alberto

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Rounding Error Analysis of an Orbital Collision Probability Evaluation Algorithm by Arzelier, Denis, Brehard, Florent, Joldes, Mioara, Mezzarobba, Marc

“…We present an error analysis of an algorithm due to Serra et al. (Journal of Guidance Control and Dynamics, 2016) for computing the orbital collision…”
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Exchange Algorithm for Evaluation and Approximation Error-Optimized Polynomials by Arzelier, Denis, Brehard, Florent, Joldes, Mioara

“…Machine implementation of mathematical functions often relies on polynomial approximations. The particularity is that rounding errors occur both when…”
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Arithmetic Algorithms for Extended Precision Using Floating-Point Expansions by Joldes, Mioara, Marty, Olivier, Muller, Jean-Michel, Popescu, Valentina

“…Many numerical problems require a higher computing precision than the one offered by standard floating-point (FP) formats. One common way of extending the…”
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Implementation and Performance Evaluation of an Extended Precision Floating-Point Arithmetic Library for High-Accuracy Semidefinite Programming by Joldes, Mioara, Muller, Jean-Michel, Popescu, Valentina

“…Semidefinite programming (SDP) is widely used in optimization problems with many applications, however, certain SDP instances are ill-posed and need more…”
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Automatic generation of polynomial-based hardware architectures for function evaluation by de Dinechin, F, Joldes, M, Pasca, B

“…Polynomial approximation is a very general technique for the evaluation of a wide class of numerical functions of one variable. This article details an…”
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Efficient and accurate computation of upper bounds of approximation errors by Chevillard, S., Harrison, J., Joldeş, M., Lauter, Ch

“…For purposes of actual evaluation, mathematical functions f are commonly replaced by approximation polynomials p. Examples include floating-point…”
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Least multivariate Chebyshev polynomials on diagonally determined domains by Dressler, Mareike, Foucart, Simon, Joldes, Mioara, de Klerk, Etienne, Lasserre, Jean-Bernard, Xu, Yuan

“…We consider a new multivariate generalization of the classical monic (univariate) Chebyshev polynomial that minimizes the uniform norm on the interval…”
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Multiplicative Square Root Algorithms for FPGAs by de Dinechin, F, Joldes, M, Pasca, B, Revy, G

“…Most current square root implementations for FPGAs use a digit recurrence algorithm which is well suited to their LUT structure. However, recent…”
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Optimization-Aided Construction of Multivariate Chebyshev Polynomials by Dressler, Mareike, Foucart, Simon, Joldes, Mioara, de Klerk, Etienne, Lasserre, Jean Bernard, Xu, Yuan

“…This article is concerned with an extension of univariate Chebyshev polynomials of the first kind to the multivariate setting, where one chases best…”
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Efficient Floating-Point Implementation of the Probit Function on FPGAs by Joldes, Mioara, Pasca, Bogdan

“…Non-uniform random number generators are key components in Monte Carlo simulations. The inverse cumulative distribution function (ICDF) technique provides a…”
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Rigorous uniform approximation of D-finite functions using Chebyshev expansions by Benoit, Alexandre, Joldes, Mioara, Mezzarobba, Marc

“…A wide range of numerical methods exists for computing polynomial approximations of solutions of ordinary differential equations based on Chebyshev series…”
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On the computation of the reciprocal of floating point expansions using an adapted Newton-Raphson iteration by Joldes, Mioara, Muller, Jean-Michel, Popescu, Valentina

“…Many numerical problems require a higher computing precision than that offered by common floating point (FP) formats. One common way of extending the precision…”
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Parallel floating-point expansions for extended-precision GPU computations by Collange, Caroline, Joldes, Mioara, Muller, Jean-Michel, Popescu, Valentina

“…GPUs are an important hardware development platform for problems where massive parallel computations are needed. Many of these problems require a higher…”
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Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters by Arzelier, D., Brehard, F., Joldes, M., Lasserre, J.-B., Laurens, S., Rondepierre, A.

“…Computing long-term collision probability in space encounters is usually based on integration of a multivariate Gaussian distribution over the volume of…”
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