The PHMC algorithm for simulations of dynamical fermions: I -- description and properties [PDF]
, 1998 We give a detailed description of the so-called Polynomial Hybrid Monte Carlo (PHMC) algorithm. The effects of the correction factor, which is introduced to render the algorithm exact, are discussed, stressing their relevance for the statistical ...
Alexandrou +38 more
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Online Convex Optimization with Binary Constraints
, 2021 We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dynamic regret.
Callaway, Duncan S. +2 more
core +1 more source
A radix-independent error analysis of the Cornea-Harrison-Tang method [PDF]
, 2016 International audienceAssuming floating-point arithmetic with a fused multiply-add operation and rounding to nearest, the Cornea-Harrison-Tang method aims to evaluate expressions of the form $ab+cd$with high relative accuracy.
Jeannerod, Claude-Pierre
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Influence of installation error on roundness error measurement [PDF]
IOP Conference Series: Materials Science and Engineering, 2019 Abstract The installation tilt causes the actual measured circular contour to be an elliptical contour [1], and the installation eccentricity causes the sampled points uneven [2], which can both affect the measurement accuracy of the roundness error [3, 4].
Xuelei Chen +4 more
openaire +1 more source
Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner [PDF]
, 2017 We investigate the eigenvalue problem $-\text{div}(\sigma \nabla u) = \lambda u\ (\mathscr{P})$ in a 2D domain $\Omega$ divided into two regions $\Omega_{\pm}$.
Chesnel, Lucas +2 more
core +5 more sources
Stochastic rounding and reduced-precision fixed-point arithmetic for solving neural ordinary differential equations [PDF]
, 2020 Although double-precision floating-point arithmetic currently dominates high-performance computing, there is increasing interest in smaller and simpler arithmetic types.
Furber, Steve +3 more
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An improved cordic for digital subdivision of Moiré signal
Metrology and Measurement Systems, 2020 The contradiction between the restriction of grating manufacturing technology and high-resolution measurement requirements has been the focus of attention.
Zhu Weibin +3 more
doaj +1 more source
Cryptography, 2023 In this paper, we present new variants of Newton–Raphson-based protocols for the secure computation of the reciprocal and the (reciprocal) square root.
Stan Korzilius, Berry Schoenmakers
doaj +1 more source
Analyzing the effect of local rounding error propagation on the maximal attainable accuracy of the pipelined Conjugate Gradient method [PDF]
, 2017 Pipelined Krylov subspace methods typically offer improved strong scaling on parallel HPC hardware compared to standard Krylov subspace methods for large and sparse linear systems.
Agullo, Emmanuel +4 more
core +4 more sources
Rounding Errors and Volatility Estimation [PDF]
Journal of Financial Econometrics, 2014 Financial prices are often discretized—with smallest tick size of one cent, for example. Thus prices involve rounding errors. Rounding errors affect the estimation of volatility, and understanding them is critical, particularly when using high frequency data.
Li, Yingying, Mykland, Per Aslak
openaire +3 more sources