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Mathematics › Numerical Analysis

Mathematical Approximation and Integration

Works Count: 18034

Description

This cluster of papers focuses on high-dimensional integration techniques, particularly emphasizing the use of Quasi-Monte Carlo methods, lattice rules, and randomized approaches for multivariate approximation. The research also delves into applications in spherical crystals, discrepancy minimization, and the tractability of numerical integration in weighted spaces.

Keywords

Quasi-Monte Carlo; High-dimensional Integration; Lattice Rules; Multivariate Approximation; Randomized Methods; Spherical Crystals; Discrepancy Minimization; Tractability; Weighted Spaces; Numerical Integration

Most Cited Works

Action Title Date Authors
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A General Definition of Residuals 1968-07-01 D. R. Cox E. J. Snell
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Function Spaces and Potential Theory 1996-01-01 David R. Adams Lars Inge Hedberg
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Moduli of Smoothness 1987-01-01 Z. Ditzian Вилмос Тотик
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Theory of Approximation of Functions of a Real Variable 1963-01-01 A.F. TIMAN
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Asymptotic Theory of Finite Dimensional Normed Spaces 1986-01-01 Vitali Milman Gideon Schechtman
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Weighted norm inequalities for maximal functions and singular integrals 1974-01-01 Ronald R. Coifman Charles Fefferman
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Statistical and Computational Inverse Problems 2005-01-01 Jari P. Kaipio Erkki Somersalo
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Adaptive estimation of a quadratic functional by model selection 2000-10-01 Béatrice Laurent Pascal Massart
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Measure Theory and Fine Properties of Functions 2018-04-27 Lawrence C. Evans Ronald F. Garzepy
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Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces 1970-01-01 Ivan Singer
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Monte Carlo methods for security pricing 1997-06-01 Phelim Boyle Mark Broadie Paul Glasserman
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Asymptotics for lasso-type estimators 2000-10-01 Wenjiang Fu Keith Knight
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Lattice Methods for Multiple Integration 1994-10-13 Ian H. Sloan Stephen Joe
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Uniform Design: Theory and Application 2000-08-01 Kai-Tai Fang Dennis K. J. Lin Peter Winker Yong Zhang
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n-Widths in Approximation Theory. 1986-10-01 Klaus Höllig Allan Pinkus
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An Introduction to the Approximation of Functions 1970-05-01 Joseph W. Jerome T. J. Rivlin
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On the approximate calculation of multiple integrals 2015-02-02 N. S. Bakhvalov
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Multilevel Monte Carlo methods 2015-04-27 Michael B. Giles
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On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals 1960-12-01 John H. Halton
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Convergence of Random Processes and Limit Theorems in Probability Theory 1956-01-01 Yu. V. Prokhorov
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Distribution Function Inequalities for Martingales 1973-02-01 D. L. Burkholder
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Simulation estimation of mixed discrete choice models using randomized and scrambled Halton sequences 2003-04-07 Chandra R. Bhat
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Random Number Generation and Quasi-Monte Carlo Methods. 1993-06-01 Bruce Jay Collings Harald Niederreiter
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A new algorithm for adaptive multidimensional integration 1978-05-01 G. Peter Lepage
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Centroidal Voronoi Tessellations: Applications and Algorithms 1999-01-01 Qiang Du Vance Faber Max Gunzburger
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A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data 2008-01-01 Fabio Nobile Raúl Tempone Clayton Webster
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Distributing many points on a sphere 1997-12-01 Edward B. Saff Arno B. J. Kuijlaars
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An approximation of partial sums of independent RV's, and the sample DF. II 1976-01-01 J. Koml�s Péter Major G. Tusn�dy
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On the distribution of points in a cube and the approximate evaluation of integrals 1967-01-01 I. M. Sobol
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Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates 2001-02-01 I. M. Sobol
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Cuba—a library for multidimensional numerical integration 2005-04-19 Thomas Hahn
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Algorithm 659 1988-03-01 Paul Bratley Bennett L. Fox
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Optimal approximations by piecewise smooth functions and associated variational problems 1989-07-01 David Mumford Jayant Shah
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Splines minimizing rotation-invariant semi-norms in Sobolev spaces 1977-01-01 Jean Duchon
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Quasi-Monte Carlo methods and pseudo-random numbers 1978-01-01 Harald Niederreiter
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Monte Carlo and quasi-Monte Carlo methods 1998-01-01 Russel E. Caflisch
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Approximation of functional depending on jumps by elliptic functional via t‐convergence 1990-12-01 Luigi Ambrosio Vincenzo Maria Tortorelli
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On the ratio of optimal integral and fractional covers 1975-01-01 László Lovász
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Multilevel Monte Carlo Path Simulation 2008-06-01 Michael B. Giles
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Logarithmic Sobolev Inequalities 1975-01-01 Leonard Gross
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Variable Lebesgue Spaces 2013-01-01 David Cruz-Uribe Alberto Fıorenza
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Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae 1946-04-01 I. J. Schoenberg
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Spherical codes and designs 1977-09-01 P. Delsarte J.-M. Goethals J.J. Seidel
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Approximation of Functions of Several Variables and Imbedding Theorems 1975-01-01 Sergei Mihailovic Nikol’skii
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A Class of Statistics with Asymptotically Normal Distribution 1948-09-01 Wassily Hoeffding
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Communication in the Presence of Noise 1949-01-01 Claude E. Shannon
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Sobolev Spaces 1985-01-01 Vladimir G. Maz’ja
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Handbook of Monte Carlo Methods 2011-02-28 Dirk P. Kroese Thomas Taimre Zdravko I. Botev
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Discrete Parameter Martingales 2006-11-27 J. Neveu Terence P. Speed
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A class of distributions which includes the normal ones 1985-01-01 Adelchi Azzalini

Most Recent Works

Action Title Date Authors
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Approximation of the first Steklov–Dirichlet eigenvalue on eccentric spherical shells in general dimensions 2025-04-11 Jiho Hong Woojoo Lee Mikyoung Lim
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Lifelong Scalable Generative System via Online Maximum Mean Discrepancy 2025-04-11 Fei Ye Adrian G. Borş
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Some characterizations of BMO spaces via commutators of maximal functions on Morrey-Lorentz spaces 2025-04-11 Heng Yang Jiang Zhou
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Korovkin-Type Theorems for Positive Linear Operators Based on the Statistical Derivative of Deferred Cesàro Summability 2025-04-11 H. M. Srivastava Bidu Bhusan Jena Susanta Kumar Paikray U. K. Misra
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Complete class of predictive densities for Type II censored data 2025-04-12 Nobuyuki Ozeki Takeshi Kurosawa
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Saturation Class of Generalized Exponential Sampling Operators 2025-04-12 Tuncer Acar Borislav R. Draganov Sadettin Kursun
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The order of approximation functions of several variables - singular integrals 2025-04-13 Musayev Ali Mehti
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ON $5^k$ -REGULAR PARTITIONS MODULO POWERS OF $5$ 2025-04-14 B. Hemanthkumar D. S. Gireesh
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A NOTE ON THE BIVARIATE GENERALIZED POISSON DISTRIBUTION OF TYPE 1 2025-04-14 P. C. Batsindila Nganga Réolie Foxie Mizélé Kitoti E. Nguessolta Dominique Mizère
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Inequalities for Rational Functions with $s$-fold zeros at the Origin 2025-04-14 B. A. Zargar Manzoor Hussain Gulzar Rubia Akhter
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Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems 2025-04-18 József Balogh Domagoj Bradač Bernard Lidický
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Best $m$-term trigonometric approximations of the isotropic Nikol'skii-Besov-type classes of periodic functions of several variables 2025-04-21 O.V. Fedunyk-Yaremchuk S.B. Hembars'ka I.A. Romanyuk
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On the Riesz summation of rational Fourier-Chebyshev integral operators and approximations of functions with a power singularity 2025-04-22 P. G. Patseika Yauheni A. Rouba Kanstantin A. Smatrytski
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Approximation by new Baskakov operators 2025-04-23 Ahmed Fadhil Amal S. Hassan
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Inner $$\delta $$-approximation of the convex hull of finite sets 2025-04-23 Nam-Dũng Hoàng Nguyen Kieu Linh Hoàng Xuân Phú
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Factorizations and Power Weighted Rellich and Hardy–Rellich-Type Inequalities 2025-04-24 Fritz Gesztesy Michael M. H. Pang Jake Parmentier Jonathan Stanfill
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n$$ n $$‐Normed Spaces 2025-04-24 Reena Antal Rachit Manchanda R Manjunatha Nilesh Bhosle Jasgurpreet Singh Chohan P. Mallikarjuna Rao Umesh Bhardwaj R. P. Thakur Mohamed Yusuf
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On the $$L_2$$-discrepancy of Latin hypercubes 2025-04-25 Nicolas Nagel
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Analysis of Classical Special Beta & Gamma Functions in Engineering Mathematics and Physics 2025-04-26 Pranesh Kulkarni
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On the pair correlation statistic of sequences with the finite gap property 2025-04-25 Jasmin Fiedler Christian Weiß
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Some Properties of Bessel I_2-Δ_θ^n-Asymptotically Statistical Equivalent Double Sequence of Order ρ ˜ 2025-04-25 Ömer Kı̇şı̇ Rümeysa Akbıyık
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ON SOME NEW PROPERTIES OF THE LAMBDA GAMMA FUNCTION 2025-04-25 Sven Sandow Kwara Nantomah Mohammed Muniru Iddrisu
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The Chebyshev Approximation by the Logarithm of a Rational Expression 2025-04-26 P. S. Malachivskyy L. S. Melnychok
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Optimal Packing of Minkowski Unit Spheres on a Plane 2025-04-26 M. M. Glazunov
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Optimal Integration of Rapidly Oscillating Functions for a Class of Differential Functions Under Approximate a Priori Information 2025-04-26 L. V. Luts
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On the approximation of singular functions by series of noninteger powers 2025-04-26 Mohan Zhao Kirill Serkh
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On the construction of practically asymptotically optimal weighted cubature formulas of Hermite type in the space of S.L. Sobolev Ḹ2(m) (Sn) 2025-04-25 Ozodjon Jalolov Bekzodjon Isomiddinov
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On finding the coefficients of the optimal interpolation formula in the space of S.L. Sobolev Ŵ(m) (T1) 2025-04-25 Kh. U. Khayatov Ozodjon Jalolov
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Solution to the Problem of Monotonicity of a Class of Sequences Converging to lnp$$ \ln p $$ 2025-04-28 Stevo Stević
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On an optimal problem of bilinear forms 2025-04-28 Naihuan Jing Yibo Liu Jiacheng Sun Chengrui Zhao Haoran Zhu
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Cutting-Edge Stochastic Approach: Efficient Monte Carlo Algorithms with Applications to Sensitivity Analysis 2025-04-27 Ivan Dimov Rayna Georgieva
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Mixtures of generalized gamma convolution processes 2025-04-27 John W. Lau
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Weak convergence of adaptive Markov chain Monte Carlo 2025-04-30 Austin Brown Jeffrey S. Rosenthal
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On Fourier transforms of fractal measures on the parabola 2025-05-01 Tuomas Orponen Carmelo Puliatti Aleksi Pyörälä
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A Class of Reduced Bias Estimators of Distortion Risk Measures under Dependence Serials with Heavy-Tailed Marginals 2025-05-01 El Hadji Dème Aminetou Agbrabatt Mamadou Aliou Barry Sidiya Ahmedou Khalil El Waled
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Constructing optimal star discrepancy sets 2025-05-02 François Clément Carola Doerr Kathrin Klamroth Luís Paquete
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MATRS: heuristic methods for noisy derivative-free bound-constrained mixed-integer optimization 2025-05-03 Morteza Kimiaei Arnold Neumaier
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Rates of convergence in the distances of Kolmogorov and Wasserstein for standardized martingales 2025-05-01 Xiequan Fan Zhonggen Su
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Skewness of a randomized quasi-Monte Carlo estimate 2025-05-01 Zexin Pan Art B. Owen
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Average case tractability of multivariate approximation with Gevrey type kernels 2025-05-01 Wanting Lu Heping Wang
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A Generalization of Chebyshev--Markov Type Inequality 2025-05-01 Li Zhu Feng Wu Yongliang Zhao Yuxiang Yang Wei Zhong
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Large deviations for the volume of hyperbolic k-nearest neighbor balls 2025-05-01 Christian Hirsch Moritz Otto Takashi Owada Christoph Thäle
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L maximal bounds and Sobolev regularity of two-parameter averages over tori 2025-05-06 Ju Young Lee Sanghyuk Lee
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Density Estimation for Elliptic PDE with Random Input by Preintegration and Quasi-Monte Carlo Methods 2025-05-07 Alexander D. Gilbert Frances Y. Kuo Abirami Srikumar
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Asymptotic formulae for bivariate functions periodic with respect to the one variable 2025-05-07 Dumitru Popa
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Approximation of analytic functions by generalized discrete shifts of the Lerch zeta-function 2025-05-08 Antanas Laurinčikas Toma Mikalauskaitė Darius Šiaučiūnas
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Linear maps compressing the set of local reduced minimum moduli 2025-05-08 Abdellatif Bourhim Mostafa Mbekhta
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Minimax and maximin problems for sums of translates on the real axis 2025-05-01 Tatiana M. Nikiforova
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Diagrammatic Monte Carlo for Finite Systems at Zero Temperature 2025-05-09 Stefano Brolli C. Barbieri E. Vigezzi
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Pair correlations, beta distribution and hypergeometric functions 2025-05-09 Christian Weiß