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Foundations of Computational Mathematics

Foundations of Computational Mathematics

中文名称：计算数学基础

ISSN：1615-3375
出版周期：Quarterly

发文量：138

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1.Primal Central Paths and Riemannian Distances for Convex Sets

机译：凸集的原始中心路径和黎曼距离
- 作者：Y. Nesterov;A. Nemirovski
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第5期
- Riemannian geometry;
- Convex optimization;
- Structural optimization;
- Interior-point methods;
- Path-following methods;
- Self-concordant functions;
- Polynomial-time methods;
- 52A41;
- 53C22;
- 68Q25;
- 90C22;
- 90C25;
- 90C51;
- 90C60;
2.Modular Counting of Rational Points over Finite Fields

机译：有限域上有理点的模块化计数
- 作者：Daqing Wan
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第5期
3.Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals

机译：零维实根理想的半定性表征和计算
- 作者：Jean Bernard Lasserre;Monique Laurent;Philipp Rostalski
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第5期
- Algebraic geometry;
- Zero-dimensional ideal;
- (Real) radical ideal;
- Semidefinite programming;
- 14P05;
- 13P10;
- 12E12;
- 12D10;
- 90C22;
4.Book Review S. Basu, R. Pollack, and M.-F. Roy: Algorithms in Real Algebraic Geometry

机译：书评S. Basu，R。Pollack和M.-F。 Roy：实数代数几何中的算法
- 作者：J. Maurice Rojas
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第6期
5.The Polynomial Method for Random Matrices

机译：随机矩阵的多项式方法
- 作者：N. Raj Rao;Alan Edelman
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第6期
- Random matrices;
- Stochastic eigenanalysis;
- Free probability;
- Algebraic functions;
- Resultants;
- D-finite series;
6.Coefficient Quantization in Banach Spaces

机译：Banach空间中的系数量化
- 作者：S. J. Dilworth;E. Odell;T. Schlumprecht;A. Zsák
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第6期
- Coefficient quantization;
- Banach spaces;
- Biorthogonal systems;
- Σ–Δ algorithm;
- Containment of cn 0;
- Lattices;
- 46B20;
- 41A65;
7.Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit

机译：稀疏三角多项式的随机抽样，II。正交匹配追踪与基础追踪
- 作者：Stefan Kunis;Holger Rauhut
- 期刊名称：《Foundations of Computational Mathematics》 | 2008年第6期
- Random sampling;
- Trigonometric polynomials;
- Orthogonal Matching Pursuit;
- Basis Pursuit;
- Thresholding;
- Sparse recovery;
- Random matrices;
- Fast Fourier transform;
- Nonequispaced fast Fourier transform;
- 94A20;
- 42A05;
- 15A52;
- 90C05;
- 90C25;
8.On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One

机译：零点簇的位置和逼近：以一维嵌入为例
- 作者：M. Giusti;G. Lecerf;B. Salvy;J.-C. Yakoubsohn
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第1期
9.The Complexity of Computing the Hilbert Polynomial of Smooth Equidimensional Complex Projective Varieties

机译：计算光滑等维复投影变种的希尔伯特多项式的复杂度
- 作者：Peter Burgisser;Martin Lotz
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第1期
10.Estimates on the Distribution of the Condition Number of Singular Matrices

机译：奇异矩阵条件数分布的估计
- 作者：C. Beltran;L.M. Pardo
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第1期
11.Finiteness Theorems in Stochastic Integer Programming

机译：随机整数规划中的有限性定理
- 作者：Matthias Aschenbrenner;Raymond Hemmecke
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第2期
12.Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace

机译：多元多项式的积分和优化（通过限制在随机子空间上）
- 作者：Alexander Barvinok
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第2期
- Polynomials;
- Integration;
- Wick formula;
- Algorithms;
- Random subspaces;
- Gaussian measure;
13.Optimality of a Standard Adaptive Finite Element Method

机译：标准自适应有限元方法的最优性
- 作者：Rob Stevenson
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第2期
14.Lower Bounds and Nonuniform Time Discretization for Approximation of Stochastic Heat Equations

机译：随机热方程的下界和非均匀时间离散
- 作者：Thomas Muller-Gronbach;Klaus Ritter
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第2期
15.Trust-Region Methods on Riemannian Manifolds

机译：黎曼流形上的信赖域方法
- 作者：P.-A. Absil;C.G. Baker;K.A. Gallivan
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第3期
16.Optimal Rates for the Regularized Least-Squares Algorithm

机译：正则最小二乘算法的最优速率
- 作者：A. Caponnetto;E. De Vito
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第3期
17.The Primal-Dual Second-Order Cone Approximations Algorithm for Symmetric Cone Programming

机译：对称锥规划的原始-二阶二阶锥逼近算法
- 作者：Chek Beng Chua
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第3期
18.Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions

机译：通过球基函数进行散乱数据插值的Sobolev误差正负估计
- 作者：Francis J. Narcowich;Xingping Sun;Joseph D. Ward;Holger Wendland
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第3期
19.Inequalities for the Curvature of Curves and Surfaces

机译：曲线和曲面的曲率不等式
- 作者：Cohen-Steiner Narcowich;Herbert Edelsbrunner
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
20.Filled Julia Sets with Empty Interior Are Computable

机译：可填充内部空的Julia集可计算
- 作者：I. Binder;M. Braverman;M. Yampolsky
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
21.Risk Bounds for Random Regression Graphs

机译：随机回归图的风险界限
- 作者：A. Caponnetto;S. Smale
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
22.Integrating Scalar Ordinary Differential Equations with Symmetry Revisited

机译：重新讨论具有对称性的标量常微分方程
- 作者：M.E. Fels
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
23.Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions

机译：群体行为的光滑代数不变量：局部和全局构造
- 作者：Evelyne Hubert;Irina A. Kogan
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
24.Errata for Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions

机译：定量鲁棒不确定性原理和最佳稀疏分解的勘误
- 作者：Emmanuel J. Candes;Justin Romberg
- 期刊名称：《Foundations of Computational Mathematics》 | 2007年第4期
25.Different Digitisations of Displaced Discs

机译：移位光盘的不同数字化
- 作者：Martin N. Huxley;Jovisa Zunic
- 期刊名称：《Foundations of Computational Mathematics》 | 2006年第2期
- Digital disc;
- Digitisation;
- Enumeration;
26.Learning Rates of Least-Square Regularized Regression

机译：最小二乘正则回归的学习率
- 作者：Qiang Wu;Yiming Ying;Ding-Xuan Zhou
- 期刊名称：《Foundations of Computational Mathematics》 | 2006年第2期
- Learning theory;
- Reproducing kernel Hilbert space;
- Regularization error;
- Covering number;
- Regularization scheme;
27.Online Learning Algorithms

机译：在线学习算法
- 作者：Steve Smale;Yuan Yao
- 期刊名称：《Foundations of Computational Mathematics》 | 2006年第2期
- Online learning;
- Stochastic approximation;
- Regularization;
- Reproducing Kernel Hilbert Spaces;
28.Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing

机译：一种新的非线性细分方案的分析。图像处理中的应用
- 作者：Sergio Amat;Rosa Donat;Jacques Liandrat;J. Carlos Trillo
- 期刊名称：《Foundations of Computational Mathematics》 | 2006年第2期
- Multiresolution;
- Nonlinear subdivision scheme;
- Harmonic mean;
29.Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions

机译：量化鲁棒不确定性原理和最优稀疏分解
- 作者：Emmanuel J. Candes;Justin Romberg
- 期刊名称：《Foundations of Computational Mathematics》 | 2006年第2期
30.On the Curvature of the Central Path of Linear Programming Theory

机译：关于线性规划理论中心路径的曲率
- 作者：Jean-Pierre Dedieu;Gregorio Malajovich;Mike Shub
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第2期
- Interior point methods;
- Central path;
- Curvature;
- Integral geometry;
- Multihomogeneous Bezout theorem;
31.Graph Approach to the Computation of the Homology of Continuous Maps

机译：图法计算连续映射的同调性
- 作者：Konstantin Mischaikow;Marian Mrozek;Pawel Pilarczyk
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第2期
- Computational homology;
- Homology maps;
- Cubical complexes;
32.On the Roots of a Random System of Equations. The Theorem of Shub and Smale and Some Extensions

机译：关于随机方程组的根。 Shub和Smale定理及一些扩展
- 作者：Jean-Marc Azaïs;Mario Wschebor
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第2期
- Random polynomials;
- System of random equations;
- Ricen formula;
33.Metamorphoses Through Lie Group Action

机译：通过谎言集体行动变形
- 作者：Alain Trouvé;Laurent Younes
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第2期
- Groups of diffeomorphisms;
- Infinite-dimensional shape spaces;
- Geodesics;
- Shape recognition;
- Image registration;
34.Foreword

机译：前言
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第4期
35.Solving the Likelihood Equations

机译：求解似然方程
- 作者：Serkan Hosten;Amit Khetan;Bernd Sturmfels
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第4期
- Maximum likelihood;
- Maximum likelihood degree;
- Syzygies;
- Phylogenetic trees;
36.An Algorithmic Approach to Chain Recurrence

机译：链递归的算法方法
- 作者：W.D. Kalies;K. Mischaikow;R.C.A.M. VanderVorst
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第4期
- Chain recurrence;
- Lyapunov function;
- Conley’s decomposition theorem;
- Algorithms;
- Computation;
- Combinatorial dynamics;
37.Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Worst Case Setting

机译：具有限阶权的多元线性问题的多项式时间算法：最坏情况设置
- 作者：G.W. Wasilkowski;H. Wozniakowski
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第4期
- Multivariate linear problems;
- Tractability;
- Polynomial-time algorithms;
- Finiteorder weights;
- Small effective dimension;
38.Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets

机译：计算数字计算的复杂度等级。 III：复杂的投影集
- 作者：Peter Bürgisser;Felipe Cucker;Martin Lotz
- 期刊名称：《Foundations of Computational Mathematics》 | 2005年第4期
- Complexity classes;
- Counting problems;
- Euler characteristic;
39.The Hardness of Polynomial Equation Solving

机译：The Hardness of Polynomial Equation Solving
- 作者：D. Castro;M. Giusti;J. HeintzG. MateraL. M. Pardo
- 期刊名称：《Foundations of computational mathematics》 | 2003年第4期
40.Modulated Fourier Expansions of Highly Oscillatory Differential Equations

机译：Modulated Fourier Expansions of Highly Oscillatory Differential Equations
- 作者：David Cohen;Ernst Hairer;Christian Lubich
- 期刊名称：《Foundations of computational mathematics》 | 2003年第4期
41.The Nesterov–Todd Direction and Its Relation to Weighted Analytic Centers

机译：The Nesterov–Todd Direction and Its Relation to Weighted Analytic Centers
- 作者：Raphael Hauser
- 期刊名称：《Foundations of computational mathematics》 | 2004年第1期
42.Improved Complexity Bounds for Counting Points on Hyperelliptic Curves

机译：Improved Complexity Bounds for Counting Points on Hyperelliptic Curves
- 作者：Abelard Simon;Gaudry Pierrick;Spaenlehauer Pierre-Jean
- 期刊名称：《Foundations of computational mathematics》 | 2019年第3期
43.Vandermonde Matrices, NP-Completeness, and Transversal Subspaces

机译：Vandermonde Matrices, NP-Completeness, and Transversal Subspaces
- 作者：Alexander Chistov;Herve Fournier;Leonid GurvitsPascal Koiran
- 期刊名称：《Foundations of computational mathematics》 | 2003年第4期
44.Orthogonal Structure on a Wedge and on the Boundary of a Square

机译：Orthogonal Structure on a Wedge and on the Boundary of a Square
- 作者：Olver Sheehan;Xu Yuan
- 期刊名称：《Foundations of computational mathematics》 | 2019年第3期
- Orthogonal polynomials;
- Wedge;
- Boundary of square;
- Fourier orthogonal expansions;
45.Optimization Based Methods for Partially Observed Chaotic Systems

机译：Optimization Based Methods for Partially Observed Chaotic Systems
- 作者：Paulin Daniel;Jasra Ajay;Crisan DanBeskos Alexandros
- 期刊名称：《Foundations of computational mathematics》 | 2019年第3期
- Filtering;
- Smoothing;
- Chaotic dynamical systems;
- Gaussian approximation;
- Newton's method;
- Concentration inequalities;
- 4D-Var;
46.Self-concordant barriers for convex approximations of structured convex sets

机译：Self-concordant barriers for convex approximations of structured convex sets
- 作者：Tun?el L.;Nemirovski A.
- 期刊名称：《Foundations of computational mathematics》 | 2010年第5期
- Convex optimization;
- Interior-point methods;
- Packing-covering problems;
- Self-concordant barriers;
- Semidefinite programming;
47.Primary Ideals and Their Differential Equations

机译：Primary Ideals and Their Differential Equations
- 作者：Cid-Ruiz Yairon;Homs Roser;Sturmfels Bernd
- 期刊名称：《Foundations of computational mathematics》 | 2021年第5期
- Primary ideals;
- Linear partial differential equations;
- Noetherian operators;
- Differential operators;
- Punctual Hilbert scheme;
- Weyl algebra;
- Join of ideals;
- Symbolic powers;
- 13N10;
- 35E05;
- 13N99;
- 13A15;
48.A Polynomial-Time Algorithm to Compute Turaev-Viro Invariants TV4,q of 3-Manifolds with Bounded First Betti Number

机译：A Polynomial-Time Algorithm to Compute Turaev-Viro Invariants TV4,q of 3-Manifolds with Bounded First Betti Number
- 作者：Maria Clement;Spreer Jonathan
- 期刊名称：《Foundations of computational mathematics》 | 2020年第5期
49.Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials

机译：Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials
- 作者：Hubert Evelyne;Singer Michael F.
- 期刊名称：《Foundations of computational mathematics》 | 2022年第6期
- Chebyshev polynomials;
- Hankel matrix;
- Root systems;
- Sparse interpolation;
- Weyl groups;
- 13A50;
- 17B10;
- 17B22;
- 30E05;
- 33C52;
- 33F10;
- 68W30;
50.Tropical Bisectors and Voronoi Diagrams

机译：Tropical Bisectors and Voronoi Diagrams
- 作者：Criado Francisco;Joswig Michael;Santos Francisco
- 期刊名称：《Foundations of computational mathematics》 | 2022年第6期
- Polyhedral norms;
- Polytropes;
- Randomized algorithms;
- Voronoi diagrams;
- 14T15;
- 46B20;
- 52B55;
51.Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings

机译：Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings
- 作者：Kanagawa Motonobu;Sriperumbudur Bharath K.;Fukumizu Kenji
- 期刊名称：《Foundations of computational mathematics》 | 2020年第1期
52.Wilkinson's Bus: Weak Condition Numbers, with an Application to Singular Polynomial Eigenproblems

机译：Wilkinson's Bus: Weak Condition Numbers, with an Application to Singular Polynomial Eigenproblems
- 作者：Lotz Martin;Noferini Vanni
- 期刊名称：《Foundations of computational mathematics》 | 2020年第6期
53.Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs

机译：Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs
- 作者：Bachmayr Markus;Kazeev Vladimir
- 期刊名称：《Foundations of computational mathematics》 | 2020年第5期
54.On Numerical Approximations of Fractional and Nonlocal Mean Field Games

机译：On Numerical Approximations of Fractional and Nonlocal Mean Field Games
- 作者：Chowdhury Indranil;Ersland Olav;Jakobsen Espen R.
- 期刊名称：《Foundations of computational mathematics》 | 2023年第4期
- Mean field games;
- Jump diffusion;
- Anomalous diffusion;
- Nonlocal operators;
- Fractional PDEs;
- Nonlocal PDEs;
- Degenerate PDEs;
- Semi-Lagrangian scheme;
- Convergence;
- Compactness;
- Fokker–Planck equations;
- Hamilton–Jacobi–Bellman equations;
- Duality methods;
- 35Q89;
- 47G20;
- 35Q84;
- 49L12;
- 45K05;
- 35K61;
- 65M12;
- 91A16;
- 65M22;
- 35R11;
- 35R06;
55.A Unifying Representer Theorem for Inverse Problems and Machine Learning

机译：A Unifying Representer Theorem for Inverse Problems and Machine Learning
- 作者：Unser Michael
- 期刊名称：《Foundations of computational mathematics》 | 2021年第4期
- Convex optimization;
- Regularization;
- Representer theorem;
- Inverse problem;
- Machine learning;
- Banach space;
- 46N10;
- 47A52;
- 65J20;
- 68T05;
56.Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions

机译：Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions
- 作者：Davis Damek;Drusvyatskiy Dmitriy
- 期刊名称：《Foundations of computational mathematics》 | 2022年第2期
- Strict saddle;
- Proximal gradient;
- Proximal point;
- Center stable manifold theorem;
- Semi-algebraic;
- FINITE CONVERGENCE;
- GRADIENT METHODS;
- DESCENT METHODS;
- IDENTIFICATION;
- COMPOSITE;
- ALGORITHMS;
57.Local Approximation from Spline Spaces on Box Meshes

机译：Local Approximation from Spline Spaces on Box Meshes
- 作者：Bressan Andrea;Lyche Tom
- 期刊名称：《Foundations of computational mathematics》 | 2021年第3期
- Approximation;
- Spline spaces;
- Box meshes;
- Quasi-interpolants;
- Local error bounds;
- Global error bounds;
- Anisotropic error bounds;
- Reduced seminorms;
- Isogeometric analysis;
58.Computing the Homology of Semialgebraic Sets. II: General Formulas

机译：Computing the Homology of Semialgebraic Sets. II: General Formulas
- 作者：Bürgisser Peter;Cucker Felipe;Tonelli-Cueto Josué
- 期刊名称：《Foundations of computational mathematics》 | 2021年第5期
- Numerical algorithms;
- Homology groups;
- Weak complexity;
- Semialgebraic sets;
- 14P10;
- 65D18;
- 65Y20;
- 68Q25;
59.Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds

机译：Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds
- 作者：Bergmann Ronny;Herzog Roland;Silva Louzeiro MaurícioTenbrinck DanielVidal-Núñez José
- 期刊名称：《Foundations of computational mathematics》 | 2021年第6期
- Convex analysis;
- Fenchel conjugate function;
- Riemannian manifold;
- Hadamard manifold;
- Primal-dual algorithm;
- Chambolle–Pock algorithm;
- Total variation;
- 49N15;
- 49M29;
- 90C26;
- 49Q99;
60.An Accelerated First-Order Method for Non-convex Optimization on Manifolds

机译：An Accelerated First-Order Method for Non-convex Optimization on Manifolds
- 作者：Criscitiello Christopher;Boumal Nicolas
- 期刊名称：《Foundations of computational mathematics》 | 2023年第4期
- Optimization on manifolds;
- Accelerated gradient descent;
- Non-convex optimization;
- First-order method;
- Riemannian manifold;
- Jacobi field;
- Curvature;
- 65K05;
- 65J05;
- 90C26;
- 90C48;
- 90C60;
- 58C05;
61.Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace-Beltrami Operator

机译：Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace-Beltrami Operator
- 作者：Garcia Trillos Nicolas;Gerlach Moritz;Hein MatthiasSlepcev Dejan
- 期刊名称：《Foundations of computational mathematics》 | 2020年第4期
- Graph Laplacian;
- Spectral clustering;
- Discrete to continuum limit;
- Spectral convergence;
- Random geometric graph;
- Point cloud;
62.Topological Properties of the Set of Functions Generated by Neural Networks of Fixed Size

机译：Topological Properties of the Set of Functions Generated by Neural Networks of Fixed Size
- 作者：Petersen Philipp;Raslan Mones;Voigtlaender Felix
- 期刊名称：《Foundations of computational mathematics》 | 2021年第2期
- Neural networks;
- General topology;
- Learning;
- Convexity;
- Closedness;
63.Computing the Sound of the Sea in a Seashell

机译：Computing the Sound of the Sea in a Seashell
- 作者：Ben-Artzi Jonathan;Marletta Marco;Rosler Frank
- 期刊名称：《Foundations of computational mathematics》 | 2022年第3期
- Helmholtz resonator;
- Dirichlet-to-Neumann map;
- Solvability Complexity Index;
- Computational complexity;
- SOLVABILITY COMPLEXITY INDEX;
- RESONANCES;
- WIDTHS;
- ARRAYS;
- WAVES;
64.Metrics, Quantization and Registration in Varifold Spaces

机译：Metrics, Quantization and Registration in Varifold Spaces
- 作者：Hsieh Hsi-Wei;Charon Nicolas
- 期刊名称：《Foundations of computational mathematics》 | 2021年第5期
65.Operator Scaling: Theory and Applications

机译：Operator Scaling: Theory and Applications
- 期刊名称：《Foundations of computational mathematics》 | 2020年第2期
- Derandomization;
- Non-commutative algebra;
- Polynomial identity testing;
- Invariant theory;
- Quantum operators;
66.Learning Elliptic Partial Differential Equations with Randomized Linear Algebra

机译：Learning Elliptic Partial Differential Equations with Randomized Linear Algebra
- 作者：Boulle Nicolas;Townsend Alex
- 期刊名称：《Foundations of computational mathematics》 | 2023年第2期
67.Cumulant-Cumulant Relations in Free Probability Theory from Magnus' Expansion

机译：Cumulant-Cumulant Relations in Free Probability Theory from Magnus' Expansion
- 作者：Celestino Adrian;Ebrahimi-Fard Kurusch;Patras FredericPerales Daniel
- 期刊名称：《Foundations of computational mathematics》 | 2022年第3期
- Monotone cumulants;
- Free cumulants;
- Boolean cumulants;
- Irreducible non-crossing partitions;
- Quasi-monotone partitions;
- Pre-Lie algebra;
- Magnus expansion;
- Rooted trees;
- ALGEBRAS;
- MONOTONE;
- TREES;
68.Tropical Combinatorial Nullstellensatz and Sparse Polynomials

机译：Tropical Combinatorial Nullstellensatz and Sparse Polynomials
- 作者：Grigoriev Dima;Podolskii Vladimir V.
- 期刊名称：《Foundations of computational mathematics》 | 2020年第4期
- Tropical polynomial;
- Combinatorial Nullstellensatz;
- Tropical circuits;
69.Homological Algebra for Persistence Modules

机译：Homological Algebra for Persistence Modules
- 作者：Bubenik Peter;Milićević Nikola
- 期刊名称：《Foundations of computational mathematics》 | 2021年第5期
- Persistent homology;
- Homological algebra;
- Graded modules;
- Sheaves;
- Grothendieck categories;
- Künneth theorems;
- Universal coefficient theorems;
- 55N31;
- 18G15;
- 18G05;
- 55U25;
70.Algebraic Boundaries Among Typical Ranks for Real Binary Forms of Arbitrary Degree

机译：Algebraic Boundaries Among Typical Ranks for Real Binary Forms of Arbitrary Degree
- 作者：Brambilla Maria Chiara;Staglianò Giovanni
- 期刊名称：《Foundations of computational mathematics》 | 2021年第4期
- Typical rank;
- Real rank boundary;
- Algebraic boundary;
- Binary form;
- Multiple root locus;
- Coincident root locus;
- Waring problem;
- Primary 15A69;
- Secondary 14P10;
- 14N05;
71.Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem

机译：Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem
- 作者：Fefferman Charles;Ivanov Sergei;Kurylev YaroslavLassas MattiNarayanan Hariharan
- 期刊名称：《Foundations of computational mathematics》 | 2020年第5期
- Whitney's extension problem;
- Riemannian manifolds;
- Machine learning;
- Inverse problems;
72.Approximating Continuous Functions on Persistence Diagrams Using Template Functions

机译：Approximating Continuous Functions on Persistence Diagrams Using Template Functions
- 作者：Perea Jose A.;Munch Elizabeth;Khasawneh Firas A.
- 期刊名称：《Foundations of computational mathematics》 | 2023年第4期
- Topological data analysis;
- Persistent homology;
- Machine learning;
- Featurization;
- Bottleneck distance;
- 55N31;
- 30L05;
- 68T05;
73.Multisymplecticity of Hybridizable Discontinuous Galerkin Methods

机译：Multisymplecticity of Hybridizable Discontinuous Galerkin Methods
- 作者：McLachlan Robert I.;Stern Ari
- 期刊名称：《Foundations of computational mathematics》 | 2020年第1期
- Hybridizable discontinuous Galerkin methods;
- HDG methods;
- Multisymplectic methods;
- Hamiltonian PDEs;
74.Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation

机译：Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation
- 作者：Biccari Umberto;Marica Aurora;Zuazua Enrique
- 期刊名称：《Foundations of computational mathematics》 | 2020年第6期
- Wave equation;
- Finite difference approximation;
- Uniform and non-uniform meshes;
- Propagation of solutions;
75.The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants

机译：The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants
- 作者：Diehl Joscha;Preiß Rosa;Ruddy MichaelTapia Nikolas
- 期刊名称：《Foundations of computational mathematics》 | 2023年第4期
- Geometric invariants;
- Orthogonal group;
- Shuffle product;
- Log-signature;
- Coordinates of the first kind;
- Polynomial invariants;
- Integral invariants;
- Signed volume;
- Signed area;
- Almost-polynomial moving-frame;
- 60L10;
- 14L24;
- 53A04;
- 16T05;
- 22E66;
76.Computing Approximate Greatest Common Right Divisors of Differential Polynomials

机译：Computing Approximate Greatest Common Right Divisors of Differential Polynomials
- 期刊名称：《Foundations of computational mathematics》 | 2020年第2期
77.A Variational Finite Element Discretization of Compressible Flow

机译：A Variational Finite Element Discretization of Compressible Flow
- 作者：Gawlik Evan S.;Gay-Balmaz François
- 期刊名称：《Foundations of computational mathematics》 | 2021年第4期
78.A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation

机译：A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation
- 作者：Riis Erlend S.;Ehrhardt Matthias J.;Quispel G. R. W.Schönlieb Carola-Bibiane
- 期刊名称：《Foundations of computational mathematics》 | 2022年第5期
- Geometric numerical integration;
- Discrete gradient methods;
- Derivative-free optimisation;
- Nonconvex optimisation;
- Nonsmooth optimisation;
- Clarke subdifferential;
- Bilevel optimisation;
- 49M25;
- 49Q15;
- 65K10;
- 90C15;
- 90C26;
- 90C56;
- 94A08;
79.Finite Element Systems for Vector Bundles: Elasticity and Curvature

机译：Finite Element Systems for Vector Bundles: Elasticity and Curvature
- 作者：Christiansen Snorre H.;Hu Kaibo
- 期刊名称：《Foundations of computational mathematics》 | 2023年第2期
- Finite elements;
- Elasticity;
- Bianchi identity;
- de Rham theorem;
- FREE STOKES ELEMENTS;
- DIFFERENTIAL FORMS;
- LINEAR ELASTICITY;
- EXTERIOR CALCULUS;
- CONSTRUCTION;
- COMPLEXES;
- FAMILY;
- APPROXIMATION;
- STABILITY;
- SMOOTH;
80.Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral Clustering

机译：Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral Clustering
- 期刊名称：《Foundations of computational mathematics》 | 2020年第3期
- Semidefinite programming;
- Graph partition;
- Unsupervised learning;
- Spectral clustering;
- Community detection;
- Graph Laplacian;
81.Are Two Given Maps Homotopic? An Algorithmic Viewpoint

机译：Are Two Given Maps Homotopic? An Algorithmic Viewpoint
- 期刊名称：《Foundations of computational mathematics》 | 2020年第2期
- Homotopy;
- Suspension;
- Polycyclic group;
- Algorithm;
82.Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales

机译：Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales
- 作者：Abdulle Assyr;Pouchon Timothee
- 期刊名称：《Foundations of computational mathematics》 | 2020年第6期
- Homogenization;
- Effective equations;
- Wave equation;
- Heterogeneous media;
- Long-time behavior;
- Dispersive waves;
- A priori error analysis;
- Multiscale method;
83.Error estimates of a Fourier integrator for the cubic Schrodinger equation at low regularity

机译：Error estimates of a Fourier integrator for the cubic Schrodinger equation at low regularity
- 作者：Ostermann Alexander;Rousset Frederic;Schratz Katharina
- 期刊名称：《Foundations of computational mathematics》 | 2021年第3期
- Nonlinear Schrodinger equations;
- Numerical Strichartz estimates;
- Low regularity;
- Error analysis;
84.Low-Rank Perturbation of Regular Matrix Pencils with Symmetry Structures

机译：Low-Rank Perturbation of Regular Matrix Pencils with Symmetry Structures
- 作者：De Teran Fernando;Mehl Christian;Mehrmann Volker
- 期刊名称：《Foundations of computational mathematics》 | 2022年第1期
85.Exploiting Sparsity for Semi-Algebraic Set Volume Computation

机译：Exploiting Sparsity for Semi-Algebraic Set Volume Computation
- 作者：Tacchi Matteo;Weisser Tillmann;Lasserre Jean BernardHenrion Didier
- 期刊名称：《Foundations of computational mathematics》 | 2022年第1期
- Polynomial optimization;
- Graph theory;
- Numerical analysis;
- Distributed computation;
- Integration;
- POLYNOMIAL OPTIMIZATION;
- RELAXATIONS;
- COMPLEXITY;
86.The Real Polynomial Eigenvalue Problem is Well Conditioned on the Average

机译：The Real Polynomial Eigenvalue Problem is Well Conditioned on the Average
- 期刊名称：《Foundations of computational mathematics》 | 2020年第2期
- Condition number;
- Polynomial eigenvalue problem;
- Random matrices;
87.Iterative Potts Minimization for the Recovery of Signals with Discontinuities from Indirect Measurements: The Multivariate Case

机译：Iterative Potts Minimization for the Recovery of Signals with Discontinuities from Indirect Measurements: The Multivariate Case
- 作者：Kiefer Lukas;Storath Martin;Weinmann Andreas
- 期刊名称：《Foundations of computational mathematics》 | 2021年第3期
88.A Counter-Example to Hausmann's Conjecture

机译：A Counter-Example to Hausmann's Conjecture
- 作者：Virk Ziga
- 期刊名称：《Foundations of computational mathematics》 | 2022年第2期
- Hausmann conjecture;
- Rips complex;
- Persistent homology;
- RIPS COMPLEXES;
89.Convergence of Finite Volume Schemes for the Euler Equations via Dissipative Measure-Valued Solutions

机译：Convergence of Finite Volume Schemes for the Euler Equations via Dissipative Measure-Valued Solutions
- 作者：Feireisl Eduard;Lukacova-Medvidova Maria;Mizerova Hana
- 期刊名称：《Foundations of computational mathematics》 | 2020年第4期
90.Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization

机译：Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization
- 作者：Ehler Martin;Gräf Manuel;Neumayer SebastianSteidl Gabriele
- 期刊名称：《Foundations of computational mathematics》 | 2021年第6期
- Approximation of measures;
- Curves;
- Discrepancies;
- Fourier methods;
- Manifolds;
- Non-convex optimization;
- Quadrature rules;
- Sampling theory;
- 28E99;
- 49Q99;
- 65D99;
91.Automorphism Groups of Certain Enriques Surfaces

机译：Automorphism Groups of Certain Enriques Surfaces
- 作者：Brandhorst Simon;Shimada Ichiro
- 期刊名称：《Foundations of computational mathematics》 | 2022年第5期
- Enriques surface;
- K3 surface;
- Hyperbolic lattice;
- 14J28;
- 14J50;
92.On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data

机译：On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data
- 作者：Lanthaler Samuel;Mishra Siddhartha
- 期刊名称：《Foundations of computational mathematics》 | 2020年第5期
- Incompressible Euler;
- Spectral viscosity;
- Vortex sheet;
- Convergence;
- Compensated compactness;
93.A Framework for Differential Calculus on Persistence Barcodes

机译：A Framework for Differential Calculus on Persistence Barcodes
- 作者：Leygonie Jacob;Oudot Steve;Tillmann Ulrike
- 期刊名称：《Foundations of computational mathematics》 | 2022年第4期
- Persistent homology;
- Persistence barcodes;
- Optimization;
- STABILITY;
94.The Topological Correctness of PL Approximations of Isomanifolds

机译：The Topological Correctness of PL Approximations of Isomanifolds
- 作者：Boissonnat Jean-Daniel;Wintraecken Mathijs
- 期刊名称：《Foundations of computational mathematics》 | 2022年第4期
- Isomanifold;
- Solution manifolds;
- Piecewise-linear approximation;
- Isotopy;
- Frechet distance;
- DELAUNAY;
- RECONSTRUCTION;
95.Newton Polytopes and Relative Entropy Optimization

机译：Newton Polytopes and Relative Entropy Optimization
- 作者：Murray Riley;Chandrasekaran Venkat;Wierman Adam
- 期刊名称：《Foundations of computational mathematics》 | 2021年第6期
- Arithmetic-geometric-mean inequality;
- Certifying nonnegativity;
- Fewnomials;
- SAGE;
- Signomials;
- Sparse polynomials;
- 52A40;
- 90C30;
- 14P15;
96.Optimal Stable Nonlinear Approximation

机译：Optimal Stable Nonlinear Approximation
- 作者：Cohen Albert;DeVore Ronald;Petrova GuerganaWojtaszczyk Przemyslaw
- 期刊名称：《Foundations of computational mathematics》 | 2022年第3期
- Nonlinear approximation;
- n-widths;
- Entropy numbers;
- Bounded approximation property;
- Stable approximation methods;
- LIPSCHITZ;
- SPACES;
97.Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations

机译：Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations
- 作者：Guidolin Andrea;Romero Ana
- 期刊名称：《Foundations of computational mathematics》 | 2021年第4期
98.The Canny-Emiris Conjecture for the Sparse Resultant

机译：The Canny-Emiris Conjecture for the Sparse Resultant
- 作者：DAndrea Carlos;Jeronimo Gabriela;Sombra Martin
- 期刊名称：《Foundations of computational mathematics》 | 2023年第3期
- Sparse resultant;
- Initial part;
- Mixed subdivision;
- Macaulay formula;
- FORMULAS;
99.Phase Transitions in Rate Distortion Theory and Deep Learning

机译：Phase Transitions in Rate Distortion Theory and Deep Learning
- 作者：Grohs Philipp;Klotz Andreas;Voigtlaender Felix
- 期刊名称：《Foundations of computational mathematics》 | 2023年第1期
- Rate distortion theory;
- Phase transition;
- Approximation rates;
- Sobolev spaces;
- Besov spaces;
- Neural network approximation;
- OPTIMAL APPROXIMATION;
- SMOOTH;
100.Distributed Learning via Filtered Hyperinterpolation on Manifolds

机译：Distributed Learning via Filtered Hyperinterpolation on Manifolds
- 作者：Montufar Guido;Wang Yu Guang
- 期刊名称：《Foundations of computational mathematics》 | 2022年第4期

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