eJournal

Constructive approximation, ISSN 0176-4276, 1985

Journal

Archives of computational methods in engineering, ISSN 1886-1784, 2017, Volume 26, Issue 1, pp. 61 - 106

Metamodeling, the science of modeling functions observed at a finite number of points, benefits from all auxiliary information it can account for. Function...

Engineering | Mathematical and Computational Engineering | DESIGN | SUPPORT VECTOR REGRESSION | ALGORITHMS | INTERPOLATION | ADJOINT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | MODELS | GLOBAL OPTIMIZATION | LIKELIHOOD-ESTIMATION | COVARIANCE | RESPONSE-SURFACE APPROXIMATION | Radial basis function | Support vector machines | Formulations | Basis functions | Least squares | Metamodels | Mathematical models | Computing time | Weighting functions | Kriging | Modeling and Simulation | Mathematics | Optimization and Control | Computer Science

Engineering | Mathematical and Computational Engineering | DESIGN | SUPPORT VECTOR REGRESSION | ALGORITHMS | INTERPOLATION | ADJOINT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | MODELS | GLOBAL OPTIMIZATION | LIKELIHOOD-ESTIMATION | COVARIANCE | RESPONSE-SURFACE APPROXIMATION | Radial basis function | Support vector machines | Formulations | Basis functions | Least squares | Metamodels | Mathematical models | Computing time | Weighting functions | Kriging | Modeling and Simulation | Mathematics | Optimization and Control | Computer Science

Journal Article

2005, ISBN 0521821126, Volume 9780521821124, xix, 777

Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons...

Many-body problem | Fermi surfaces | Hartree-Fock approximation | Fermi liquid theory | Quantum field theory | Physics | History | Wrestlers | Wrestling | Electron mobility | Quantum Hall effect

Many-body problem | Fermi surfaces | Hartree-Fock approximation | Fermi liquid theory | Quantum field theory | Physics | History | Wrestlers | Wrestling | Electron mobility | Quantum Hall effect

Book

Approximation theory and its applications, ISSN 1000-9221, 1985

Journal

2017, Graduate studies in mathematics, ISBN 9781470437701, Volume 183, xxi, 637 pages

Algebraic geometry -- (Co)homology theory -- Étale and other Grothendieck topologies and (co)homologies | Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- General commutative ring theory -- Ideals; multiplicative ideal theory | Separable algebras | Algebraic geometry -- Local theory -- Local structure of morphisms: Étale, flat, etc | Commutative algebra -- Ring extensions and related topics -- Galois theory | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Commutative algebra -- Ring extensions and related topics -- Étale and flat extensions; Henselization; Artin approximation | Associative rings | Associative rings and algebras -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- Theory of modules and ideals -- Class groups

Book

2006, Condensed matter physics, nanoscience and mesoscopic physics, ISBN 0521815916, Volume 9780521815918, xxii, 348

Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter....

Density functionals | Condensed matter | Computer simulation | Hartree-Fock approximation

Density functionals | Condensed matter | Computer simulation | Hartree-Fock approximation

Book

1977, Mathematics in science and engineering, ISBN 0124301401, Volume 129, xvii, 243

Book

2011, ISBN 0521195276, xi, 504

"Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network...

Mathematical optimization | Approximation theory

Mathematical optimization | Approximation theory

Book

Functiones et approximatio commentarii mathematici, 1974

Journal

2006, Studies in computational mathematics, ISBN 9780444518446, Volume 12, 357

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The...

Interpolation | Approximation theory | Research | Multivariate analysis | Approximation theory - Research

Interpolation | Approximation theory | Research | Multivariate analysis | Approximation theory - Research

eBook

2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461

Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis

Book

2017, Series on concrete and applicable mathematics, ISBN 9813145838, Volume 20., xii, 334 pages

Book

Journal of applied mathematics, ISSN 1110-757X, 11/2013, Volume 2013

We consider a family of classification algorithms generated from a regularization kernel scheme associated with l1-regularizer and convex loss function. Our...

Approximation

Approximation

Journal Article

2012, Volume 578

Conference Proceeding

2010, ISBN 9780691142128, xii, 125

The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical...

Stochastic differential equations | Technology | Numerical solutions | Stochastic processes | Spectral theory (Mathematics) | Approximation theory | Mathematics | Probabilities | Stochastic differential equations-Numerical solutions

Stochastic differential equations | Technology | Numerical solutions | Stochastic processes | Spectral theory (Mathematics) | Approximation theory | Mathematics | Probabilities | Stochastic differential equations-Numerical solutions

Book

Proceedings of the IEEE, ISSN 0018-9219, 06/2010, Volume 98, Issue 6, pp. 948 - 958

The goal of the sparse approximation problem is to approximate a target signal using a linear combination of a few elementary signals drawn from a fixed...

Electrical engineering | Dictionaries | Matching pursuit algorithms | Mathematics | matching pursuit | Least squares approximation | Statistics | Inverse problems | Signal processing algorithms | Signal processing | sparse approximation | Approximation algorithms | convex optimization | Compressed sensing | Sparse approximation | Convex optimization | Matching pursuit | REPRESENTATIONS | RECONSTRUCTION | SIGNAL RECOVERY | THRESHOLDING ALGORITHM | MINIMIZATION PROBLEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | PURSUIT | SHRINKAGE | UNCERTAINTY PRINCIPLES | SELECTION | Algorithms | Approximation | Computation | Mathematical analysis | Collection | Mathematical models

Electrical engineering | Dictionaries | Matching pursuit algorithms | Mathematics | matching pursuit | Least squares approximation | Statistics | Inverse problems | Signal processing algorithms | Signal processing | sparse approximation | Approximation algorithms | convex optimization | Compressed sensing | Sparse approximation | Convex optimization | Matching pursuit | REPRESENTATIONS | RECONSTRUCTION | SIGNAL RECOVERY | THRESHOLDING ALGORITHM | MINIMIZATION PROBLEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | PURSUIT | SHRINKAGE | UNCERTAINTY PRINCIPLES | SELECTION | Algorithms | Approximation | Computation | Mathematical analysis | Collection | Mathematical models

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2013, Volume 23, Issue 2, pp. 1126 - 1153

The block coordinate descent (BCD) method is widely used for minimizing a continuous function f of several block variables. At each iteration of this method, a...

Successive inner approximation | Successive convex approximation | Block successive upper-bound minimization | Block coordinate descent | block coordinate descent | MATHEMATICS, APPLIED | DESCENT METHOD | successive convex approximation | successive inner approximation | ALGORITHMS | block successive upper-bound minimization | Splitting | Algorithms | Maximization | Approximation | Upper bounds | Blocking | Optimization | Convergence

Successive inner approximation | Successive convex approximation | Block successive upper-bound minimization | Block coordinate descent | block coordinate descent | MATHEMATICS, APPLIED | DESCENT METHOD | successive convex approximation | successive inner approximation | ALGORITHMS | block successive upper-bound minimization | Splitting | Algorithms | Maximization | Approximation | Upper bounds | Blocking | Optimization | Convergence

Journal Article

2015, 3rd edition., Graduate studies in mathematics, ISBN 9780821898543, Volume 163, xxiv, 629

Book