Automatica, ISSN 0005-1098, 03/2014, Volume 50, Issue 3, pp. 657 - 682

Most of the currently used techniques for linear system identification are based on classical estimation paradigms coming from mathematical statistics. In...

Linear system identification | Inverse problems | Model complexity selection | Bias-variance trade-off | Kernel-based regularization | Gaussian processes | Prediction error methods | Reproducing kernel Hilbert spaces | RANK MINIMIZATION | REGRESSION | HILBERT-SPACES | UNIFYING VIEW | NUCLEAR NORM REGULARIZATION | CONSISTENT IDENTIFICATION | BLOOD-FLOW | LINEAR-MODELS | ENGINEERING, ELECTRICAL & ELECTRONIC | WIENER | GRADIENT-METHOD | AUTOMATION & CONTROL SYSTEMS | Teknik och teknologier | Linear system identification; Prediction error methods; Model complexity selection; Bias-variance trade-off; Kernel-based regularization; Inverse problems; Reproducing kernel Hilbert spaces; Gaussian processes | TEKNIKVETENSKAP | Engineering and Technology | TECHNOLOGY

Linear system identification | Inverse problems | Model complexity selection | Bias-variance trade-off | Kernel-based regularization | Gaussian processes | Prediction error methods | Reproducing kernel Hilbert spaces | RANK MINIMIZATION | REGRESSION | HILBERT-SPACES | UNIFYING VIEW | NUCLEAR NORM REGULARIZATION | CONSISTENT IDENTIFICATION | BLOOD-FLOW | LINEAR-MODELS | ENGINEERING, ELECTRICAL & ELECTRONIC | WIENER | GRADIENT-METHOD | AUTOMATION & CONTROL SYSTEMS | Teknik och teknologier | Linear system identification; Prediction error methods; Model complexity selection; Bias-variance trade-off; Kernel-based regularization; Inverse problems; Reproducing kernel Hilbert spaces; Gaussian processes | TEKNIKVETENSKAP | Engineering and Technology | TECHNOLOGY

Journal Article

2002, ISBN 9780198520634, xxi, 625

This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a...

Quantum theory | Open systems (Physics) | Quantum brownian motion | Quantum markov processes | Open quantum systems | Quantum optics | Decoherence | Quantum information | Relativistic quantum processes | Non-markovian quantum dynamics | Master equations

Quantum theory | Open systems (Physics) | Quantum brownian motion | Quantum markov processes | Open quantum systems | Quantum optics | Decoherence | Quantum information | Relativistic quantum processes | Non-markovian quantum dynamics | Master equations

Book

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

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

Book

2016, The Carus Mathematical Monographs, ISBN 9780883851418, Volume number 32, xiii, 321 pages

Book

2010, Adaptive and learning systems for signal processing, communication, and control, ISBN 9780470447536, xxi, 209

Online learning from a signal processing perspective There is increased interest in kernel learning algorithms in neural networks and a growing need for...

Waves & Wave Mechanics | Science | Kernel functions | Adaptive filters

Waves & Wave Mechanics | Science | Kernel functions | Adaptive filters

Book

2014, Graduate studies in mathematics, ISBN 0821891715, Volume 156, xviii, 372 pages

Book

2016, 1, Monographs and research notes in mathematics, ISBN 1482210509, xix, 286

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with...

Cauchy problem | Financial Mathematics | Differential Equations | Mathematical Analysis | Stochastic processes | Infinite dimensional Lie algebras | Stochastic differential equations

Cauchy problem | Financial Mathematics | Differential Equations | Mathematical Analysis | Stochastic processes | Infinite dimensional Lie algebras | Stochastic differential equations

Book

Pattern Recognition, ISSN 0031-3203, 12/2013, Volume 46, Issue 12, pp. 3519 - 3532

In vector field learning, regularized kernel methods such as regularized least-squares require the number of basis functions to be equivalent to the training...

Outlier | Vector field learning | Reproducing kernel Hilbert space | Sparse approximation | Regularization | Mismatch removal | Reproducing kernel | Hilbert space | NETWORKS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Artificial intelligence | Algorithms | Learning | Approximation | Basis functions | Mathematical analysis | Samples | Statistical methods | Fields (mathematics)

Outlier | Vector field learning | Reproducing kernel Hilbert space | Sparse approximation | Regularization | Mismatch removal | Reproducing kernel | Hilbert space | NETWORKS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Artificial intelligence | Algorithms | Learning | Approximation | Basis functions | Mathematical analysis | Samples | Statistical methods | Fields (mathematics)

Journal Article

Science, ISSN 0036-8075, 05/2016, Volume 352, Issue 6289, pp. 1087 - 1091

Quantum superpositions of distinct coherent states in a single-mode harmonic oscillator, known as "cat states," have been an elegant demonstration of...

Superconductors | Quantum theory | Schrodinger equation | Research | Atoms & subatomic particles | Quantum physics | Information processing | Fault tolerance | Schroedinger cat state | Coherence | Holes | Hilbert space | Qubits (quantum computing) | Photons | Microwaves | Physics - Quantum Physics | Quantum Physics | Physics

Superconductors | Quantum theory | Schrodinger equation | Research | Atoms & subatomic particles | Quantum physics | Information processing | Fault tolerance | Schroedinger cat state | Coherence | Holes | Hilbert space | Qubits (quantum computing) | Photons | Microwaves | Physics - Quantum Physics | Quantum Physics | Physics

Journal Article

Genetics, ISSN 0016-6731, 10/2014, Volume 198, Issue 2, pp. 483 - 495

Many modern genomic data analyses require implementing regressions where the number of parameters (p, e.g., the number of marker effects) exceeds sample size...

RKHS | QUANTITATIVE TRAITS | DENSE MOLECULAR MARKERS | whole-genome regression | GENETIC VALUES | ENABLED PREDICTION | DISTRIBUTIONS | Bayesian methods | MODELS | regression | shared data resource | GENETICS & HEREDITY | genome-wide regression | semiparametric regression | GenPred | R PACKAGE | variable selection | SELECTION | shrinkage | COMPLEX TRAITS | ASSOCIATION | whole-genome prediction | reproducing kernel Hilbert spaces regressions | Triticum - genetics | Regression Analysis | Data Interpretation, Statistical | Algorithms | Animals | Bayes Theorem | Mice | Software | Genome | Quantitative Trait Loci | Bayesian statistical decision theory | Genomes | Research | Bayesian analysis | Genomics | Predictions | reproducing kernel Hilbert spaces regressions, RKHS | Investigations

RKHS | QUANTITATIVE TRAITS | DENSE MOLECULAR MARKERS | whole-genome regression | GENETIC VALUES | ENABLED PREDICTION | DISTRIBUTIONS | Bayesian methods | MODELS | regression | shared data resource | GENETICS & HEREDITY | genome-wide regression | semiparametric regression | GenPred | R PACKAGE | variable selection | SELECTION | shrinkage | COMPLEX TRAITS | ASSOCIATION | whole-genome prediction | reproducing kernel Hilbert spaces regressions | Triticum - genetics | Regression Analysis | Data Interpretation, Statistical | Algorithms | Animals | Bayes Theorem | Mice | Software | Genome | Quantitative Trait Loci | Bayesian statistical decision theory | Genomes | Research | Bayesian analysis | Genomics | Predictions | reproducing kernel Hilbert spaces regressions, RKHS | Investigations

Journal Article

International Journal of Bifurcation and Chaos, ISSN 0218-1274, 04/2016, Volume 26, Issue 4, p. 1650057

Application of the Hadamard and related transforms on a few generalized quantum bakerâ€™s maps have been studied. Effectiveness of the Hadamard transform and a...

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 1, pp. 386 - 394

Sub-Bergman Hilbert spaces are analogues of de Brangesâ€“Rovnyak spaces in the Bergman space setting. They are reproducing kernel Hilbert spaces contractively...

Bergman space | Reproducing kernel | Hilbert space | Sub-Bergman Hilbert space | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLIERS

Bergman space | Reproducing kernel | Hilbert space | Sub-Bergman Hilbert space | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLIERS

Journal Article

University texts in the mathematical sciences, xi, 206 p. illus.

Book

Linear Algebra and Its Applications, ISSN 0024-3795, 11/2019, Volume 580, pp. 37 - 61

In this article we consider the following equivalence relation on the class of all functions of two variables on a set X: we will say that L,M:XÃ—Xâ†’C are...

Volumes of parallelepipeds | Reproducing kernel Hilbert spaces | Principal minor | Isometries of Hilbert spaces | Rescalings of sesqui-holomorphic functions | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Parallelepipeds | Hilbert space | Analytic functions | Rescaling | Mathematical analysis

Volumes of parallelepipeds | Reproducing kernel Hilbert spaces | Principal minor | Isometries of Hilbert spaces | Rescalings of sesqui-holomorphic functions | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Parallelepipeds | Hilbert space | Analytic functions | Rescaling | Mathematical analysis

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2018, Volume 15, Issue 6

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 08/2019, Volume 60, Issue 8, p. 81903

The bulk spectrum of a possible Chern insulator on a quasicrystalline lattice is examined. The effect of being a 2D insulator seems to override any fractal...

PHYSICS, MATHEMATICAL | CONTINUITY | Quasicrystals | Hilbert space

PHYSICS, MATHEMATICAL | CONTINUITY | Quasicrystals | Hilbert space

Journal Article

2017, ISBN 9789813148000, xx, 730 pages

"This book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who...

Mathematics | Mathematical physics

Mathematics | Mathematical physics

Book

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 11/2015, Volume 112, Issue 46, pp. 14197 - 14201

Photons with a twisted phase front can carry a discrete, in principle, unbounded amount of orbital angular momentum (OAM). The large state space allows for...

Large hilbert space photonic spatial modes | Quantum entanglement|photonic orbital angular momentum | Quantum communication | large Hilbert space | BEAMS | MULTIDISCIPLINARY SCIENCES | photonic orbital angular momentum | ATMOSPHERIC-TURBULENCE | LIGHT | quantum entanglement | photonic spatial modes | QUANTUM TELEPORTATION | quantum communication | Turbulence | Photons | Research | Polarization (Light) | Analysis | Physical Sciences

Large hilbert space photonic spatial modes | Quantum entanglement|photonic orbital angular momentum | Quantum communication | large Hilbert space | BEAMS | MULTIDISCIPLINARY SCIENCES | photonic orbital angular momentum | ATMOSPHERIC-TURBULENCE | LIGHT | quantum entanglement | photonic spatial modes | QUANTUM TELEPORTATION | quantum communication | Turbulence | Photons | Research | Polarization (Light) | Analysis | Physical Sciences

Journal Article

Foundations of Computational Mathematics, ISSN 1615-3375, 10/2016, Volume 16, Issue 5, pp. 1263 - 1323

We introduce and analyze a framework and corresponding method for compressed sensing in infinite dimensions. This extends the existing theory from...

47A99 | Linear and Multilinear Algebras, Matrix Theory | Hilbert spaces | Uneven sections | Mathematics | 15B52 | 42C40 | Numerical Analysis | Generalized sampling | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | Compressed sensing | 94A20 | STABLE RECONSTRUCTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | APPROXIMATION | FOURIER SAMPLES | ACQUISITION | SIGNALS | INNOVATION | FINITE RATE | MATHEMATICS | INVERSE PROBLEMS | COMPUTER SCIENCE, THEORY & METHODS | PROJECTIONS | Signal processing | Usage | Hilbert space | Analysis | Statistical sampling | Compressibility | Vector spaces | Sampling | Reconstruction | Foundations | Mathematical models | Detection | Stems

47A99 | Linear and Multilinear Algebras, Matrix Theory | Hilbert spaces | Uneven sections | Mathematics | 15B52 | 42C40 | Numerical Analysis | Generalized sampling | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | Compressed sensing | 94A20 | STABLE RECONSTRUCTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | APPROXIMATION | FOURIER SAMPLES | ACQUISITION | SIGNALS | INNOVATION | FINITE RATE | MATHEMATICS | INVERSE PROBLEMS | COMPUTER SCIENCE, THEORY & METHODS | PROJECTIONS | Signal processing | Usage | Hilbert space | Analysis | Statistical sampling | Compressibility | Vector spaces | Sampling | Reconstruction | Foundations | Mathematical models | Detection | Stems

Journal Article