Keyword

worst-case error

Description: The largest possible deviation between an approximate result and its intended value under specified conditions or constraints.

Primary topic: Mathematical Approximation and Integration (46%)

OpenAlex ID: keywords/worst-case-error

High-dimensional integration: The quasi-Monte Carlo way

2013 · Josef Dick, Frances Y. Kuo, et al. · Acta Numerica · 614

Deterministic and Stochastic Error Bounds in Numerical Analysis

1988 · Erich Novak · Lecture notes in mathematics · 362

MACACO: Modeling and analysis of circuits for approximate computing

2011 · Rangharajan Venkatesan, Amit Agarwal, et al. · 219

Estimating the coherence of noise

2015 · Joel Wallman, Chris Granade, et al. · New Journal of Physics · 196

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Decay of the Kolmogorov N -width for wave problems

2019 · Constantin Greif, Karsten Urban · Applied Mathematics Letters · 141

Comparison of worst case errors in linear and neural network approximation

2002 · V. Kurkova, M. Sanguineti · IEEE Transactions on Information Theory · 141

Precision edge contrast and orientation estimation

1988 · E.P. Lyvers, O.R. Mitchell · IEEE Transactions on Pattern Analysis and Machine Intelligence · 139

Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order

2008 · Josef Dick · SIAM Journal on Numerical Analysis · 133

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Tractability of Multivariate Integration for Weighted Korobov Classes

2001 · Ian H. Sloan, Henryk Woźniakowski · Journal of Complexity · 132

Good Lattice Rules in Weighted Korobov Spaces with General Weights

2006 · Josef Dick, Ian H. Sloan, et al. · Numerische Mathematik · 111

Bounds on rates of variable-basis and neural-network approximation

2001 · V. Kurkova, M. Sanguineti · IEEE Transactions on Information Theory · 103

Curvelets and Curvilinear Integrals

2001 · Emmanuel J. Candès, David L. Donoho · Journal of Approximation Theory · 101

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QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere

2014 · J. Brauchart, E. Saff, et al. · Mathematics of Computation · 94

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Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points

2005 · Dirk Nuyens, Ronald Cools · Journal of Complexity · 92

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Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces

2004 · Josef Dick, Friedrich Pillichshammer · Journal of Complexity · 92

Function evaluation by table look-up and addition

2002 · H. Hassler, N. Takagi · 92

Heavy Hitters and the Structure of Local Privacy

2018 · Mark Bun, Jelani Nelson, et al. · ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems (PODS) · 87

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Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions

2007 · Josef Dick · SIAM Journal on Numerical Analysis · 83

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On the convergence rate of the component-by-component construction of good lattice rules

2004 · Josef Dick · Journal of Complexity · 82

Foundations of Computational Mathematics / Function values are enough for L2-approximation

2021 · Ullrich, Mario, Krieg, David · University Library Linz repository (Johannes Kepler Universitat Linz) · 77

Approximation-aware rewriting of AIGs for error tolerant applications

2016 · Arun Chandrasekharan, Mathias Soeken, et al. · 72

Measuring the accuracy of ROM reciprocal tables

1994 · D. DasSarma, D.W. Matula · IEEE Transactions on Computers · 70

The Brownian Bridge Does Not Offer a Consistent Advantage in Quasi-Monte Carlo Integration

2002 · A. Papageorgiou · Journal of Complexity · 69

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Construction algorithms for polynomial lattice rules for multivariate integration

2005 · J. Dick, F. Kuo, et al. · Mathematics of Computation · 68

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Approximation of infinitely differentiable multivariate functions is intractable

2008 · Erich Novak, Henryk Woźniakowski · Journal of Complexity · 65

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Works count: 513

Citation count: 7,718