Search Results - Finite-dimensional approximation to coefficient kernel function~

1

Neural Operator Approximations for Boundary Stabilization of Cascaded Parabolic PDEs.

Authors: Lv, Kaijing Wang, Junmin Cao, Yuandong

Source: International Journal of Adaptive Control & Signal Processing; Jul2025, Vol. 39 Issue 7, p1503-1520, 18p

Subject Terms: BACKSTEPPING control method, PARABOLIC differential equations, STABILITY theory, NEURAL computers, CONTROL theory (Engineering), MATHEMATICAL optimization

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2

Stabilization of the Viscoelastic Wave Equation with Variable Coefficients and a Delay Term in Nonlocal Boundary Feedback.

Authors: Li, Sheng-Jie Chai, Shugen

Source: Journal of Dynamical & Control Systems; Mar2024, Vol. 30 Issue 1, p1-24, 24p

Subject Terms: WAVE equation, RIEMANNIAN geometry, KERNEL functions, ENERGY consumption

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3

Function-on-Function Linear Regression by Signal Compression.

Authors: Luo, Ruiyan Qi, Xin

Source: Journal of the American Statistical Association. Jun2017, Vol. 112 Issue 518, p690-705. 16p.

Subject Terms: *REGRESSION analysis, *COMPUTER simulation, *APPROXIMATION theory, *EIGENFUNCTIONS, *ANALYSIS of covariance

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4

On spectral distribution of kernel matrices related to radial basis functions.

Authors: Wathen, Andrew Zhu, Shengxin

Source: Numerical Algorithms; Dec2015, Vol. 70 Issue 4, p709-726, 18p

Subject Terms: RADIAL basis functions, APPROXIMATION theory, CHEBYSHEV approximation, VECTOR algebra, LINEAR algebra

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5

Fixed points of mean section operators.

Authors: Brauner, Leo Ortega-Moreno, Oscar

Source: Transactions of the American Mathematical Society; Jan2025, Vol. 378 Issue 1, p159-199, 41p

Subject Terms: LINEAR operators, KERNEL functions, UNIT ball (Mathematics), SMALL capitalization stocks, ROTATIONAL motion

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6

THE OCCUPATION KERNEL METHOD FOR NONLINEAR SYSTEM IDENTIFICATION.

Authors: ROSENFELD, JOEL A. RUSSO, BENJAMIN P. KAMALAPURKAR, RUSHIKESH et al.

Source: SIAM Journal on Control & Optimization; 2024, Vol. 62 Issue 3, p1643-1668, 26p

Subject Terms: NONLINEAR systems, SYSTEM identification, HILBERT space, DYNAMICAL systems, NONLINEAR dynamical systems, CONTINUOUS functions, KERNEL (Mathematics)

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7

INTERPOLATIVE DECOMPOSITION VIA PROXY POINTS FOR KERNEL MATRICES.

Authors: XIN XING CHOW, EDMOND

Source: SIAM Journal on Matrix Analysis & Applications; 2020, Vol. 41 Issue 1, p221-243, 23p

Subject Terms: KERNEL functions, MATRICES (Mathematics), PROXY, FUNCTION spaces, ERROR analysis in mathematics, KERNEL (Mathematics)

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8

Wavelet-based Bayesian approximate kernel method for high-dimensional data analysis.

Authors: Guo, Wenxing Zhang, Xueying Jiang, Bei et al.

Source: Computational Statistics; Jun2024, Vol. 39 Issue 4, p2323-2341, 19p

Subject Terms: GIBBS sampling, VECTOR spaces, WAVELET transforms, REGRESSION analysis, KERNEL functions, NONLINEAR regression, WAVELETS (Mathematics)

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9

Data‐driven variational method for discrepancy modeling: Dynamics with small‐strain nonlinear elasticity and viscoelasticity.

Authors: Masud, Arif Goraya, Shoaib A.

Source: International Journal for Numerical Methods in Engineering; 10/30/2024, Vol. 125 Issue 20, p1-33, 33p

Subject Terms: DYNAMICAL systems, COMPUTATIONAL intelligence, WAVELETS (Mathematics), KERNEL functions, MULTISCALE modeling

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10

Variable order, directional ℋ2-matrices for Helmholtz problems with complex frequency.

Authors: Börm, Steffen Lopez-Fernandez, Maria Sauter, Stefan A

Source: IMA Journal of Numerical Analysis; Oct2021, Vol. 41 Issue 4, p2896-2935, 40p

Subject Terms: SPARSE approximations, INTEGRAL operators, SCATTERING (Physics), THEORY of wave motion, KERNEL functions, HELMHOLTZ equation, ZETA functions

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11

Kernel Sparse Representation-Based Classifier.

Authors: Zhang, Li Zhou, Wei-Da Chang, Pei-Chann et al.

Source: IEEE Transactions on Signal Processing; Apr2012, Vol. 60 Issue 4, p1684-1695, 12p

Subject Terms: SPARSE approximations, KERNEL functions, MACHINE learning, COMPRESSED sensing, IMAGE processing

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12

The stabilizability of heat equations with time‐dependent coefficients.

Authors: Li, Lingfei Gao, Hang

Source: Mathematical Methods in the Applied Sciences; Apr2020, Vol. 43 Issue 6, p2836-2844, 9p

Subject Terms: KERNEL functions

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13

Research Progress on Intelligent System’s Learning, Optimization, and Control—Part II: Online Sparse Kernel Adaptive Algorithm.

Authors: Tan, Fuxiao Guan, Xinping

Source: IEEE Transactions on Systems, Man & Cybernetics. Systems; Dec2020, Vol. 50 Issue 12, p5369-5385, 17p

Subject Terms: ALGORITHMS, ADAPTIVE filters, HILBERT space, PRINCIPAL components analysis, KERNEL functions, KERNEL (Mathematics)

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14

Applying reproducing kernels to the evaluation and approximation of the simple and time-dependent imaginary time harmonic oscillator path integrals.

Authors: Keren, Daniel¹ dkeren@cs.haifa.ac.il

Source: Applicable Analysis. Jun2006, Vol. 85 Issue 6/7, p793-810. 18p.

Subject Terms: *HARMONIC oscillators, *HARMONIC motion, *PATH integrals, *PROBABILITY theory, *HILBERT space, *HYPERSPACE

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15

Solving an electrically conducting nanofluid over an impermeable stretching cylinder problem with a spectral reproducing kernel method.

Authors: Foroutan, M. R. Hashemi, M. S. Rezapour, Shahram et al.

Source: Journal of Thermal Analysis & Calorimetry; Aug2024, Vol. 149 Issue 15, p8747-8759, 13p

Subject Terms: NONLINEAR boundary value problems, NEWTON-Raphson method, CHEBYSHEV polynomials, ORDINARY differential equations, HILBERT space

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16

Simulation of Infinitely Divisible Random Fields.

Authors: Karcher, Wolfgang Scheffler, Hans-Peter Spodarev, Evgeny

Source: Communications in Statistics: Simulation & Computation; Jan2013, Vol. 42 Issue 1, p215-246, 32p, 4 Charts, 3 Graphs

Subject Terms: SIMULATION methods & models, RANDOM fields, APPROXIMATION theory, KERNEL functions, APPROXIMATION error, NUMERICAL integration

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17

The framework of learnable kernel function and its application to dictionary learning of SPD data.

Authors: Feng, Weijia Ma, Zhengming Zhuang, Rixin et al.

Source: Pattern Analysis & Applications; May2021, Vol. 24 Issue 2, p723-739, 17p

Subject Terms: KERNEL functions, VECTOR spaces, KERNEL operating systems, HILBERT space, SCHOLARLY periodicals, MACHINE learning

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18

Design of semi-tensor product-based kernel function for SVM nonlinear classification.

Authors: Xue, Shengli Zhang, Lijun Zhu, Zeyu

Source: Control Theory & Technology; Nov2022, Vol. 20 Issue 4, p456-464, 9p

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19

zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Authors: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Subject Terms: Eigenvalues, singular values, and eigenvectors, Canonical forms, reductions, classification, Deterministic scheduling theory in operations research, Markov processes: hypothesis testing, Special maps on topological spaces (open, closed, perfect, etc.), Modular representations and characters, Multidimensional problems, Statistical aspects of information-theoretic topics, Applications of statistics to biology and medical sciences, meta analysis, Linear symmetric and selfadjoint operators (unbounded), History of operations research and mathematical programming, Integral, integro-differential, and pseudodifferential operators, Discrete-time control/observation systems, Differentiable maps on manifolds, Stability and instability of geophysical and astrophysical flows, Initial-boundary value problems for second-order parabolic equations, Other numerical methods in calculus of variations, Prediction theory (aspects of stochastic processes), Combinatorial identities, bijective combinatorics, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), History of mathematics in the 20th century, Absolute planes in metric geometry, Measures of association (correlation, canonical correlation, etc.), Sequences and sets, Initial-boundary value problems for first-order hyperbolic systems, Probabilistic methods, stochastic differential equations, Hyperbolic and elliptic geometries (general) and generalizations, Elliptic equations and elliptic systems, 2-person games, \(H^p\)-classes, Groups and semigroups of linear operators, Regularity of generalized solutions of PDE, Geophysics, Population dynamics (general), Fixed points and coincidences in algebraic topology, Economic growth models, Polytopes and polyhedra, Inequalities and extremum problems involving convexity in convex geometry, Hermitian and normal operators (spectral measures, functional calculus, etc.), Calculus of vector functions, Probability distributions: general theory, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Factorials, binomial coefficients, combinatorial functions, Ultraparabolic equations, pseudoparabolic equations, etc, Controllability, Boundary value problems for linear first-order PDEs, Perturbation theory of linear operators, Matrices over special rings (quaternions, finite fields, etc.), Exact enumeration problems, generating functions, Numerical quadrature and cubature formulas, Parametric hypothesis testing, Numerical computation using splines, Nonstandard models, Adaptive control/observation systems, Nonlinear programming, Linear programming, Numerical interpolation, Polyhedra and polytopes, regular figures, division of spaces, Robustness and adaptive procedures (parametric inference), Spectrum, resolvent, Eigenvalue problems for integral equations, Roundoff error, Numerical methods based on nonlinear programming, Error bounds for boundary value problems involving PDEs, Classification and discrimination, cluster analysis (statistical aspects), Nonlinear spectral theory, nonlinear eigenvalue problems, Heat equation, Representations of solutions to partial differential equations, Methods of reduced gradient type, Initial value problems for second-order hyperbolic equations, Microeconomic theory (price theory and economic markets), Theory of compilers and interpreters, Factor analysis and principal components, correspondence analysis, Approximate quadratures, Higher-order parabolic equations, Graph theory, Generalities in topology, Statistical tables, Time series, auto-correlation, regression, etc. in statistics (GARCH), Nonlinear boundary value problems for linear elliptic equations, Variational problems concerning extremal problems in several variables, Yang-Mills functionals, Algebraic methods, Order statistics, empirical distribution functions, Finite simple groups and their classification, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, Smooth approximations in differential topology, Specification and verification (program logics, model checking, etc.), Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Algebraic systems of matrices, Analysis of variance and covariance (ANOVA), Directed graphs (digraphs), tournaments, Theory of singularities and catastrophe theory, General theory of rotating fluids, Optimality conditions for problems in abstract spaces, Paired and multiple comparisons, multiple testing, First-order nonlinear hyperbolic equations, Inference from stochastic processes and prediction, Trees, Cooperative games, Empirical decision procedures, empirical Bayes procedures, Overdetermined systems of PDEs with constant coefficients, Stochastic systems and control, Plastic materials, materials of stress-rate and internal-variable type, Boundary value and inverse problems for harmonic functions in higher dimensions, Interpolation in approximation theory, Second-order nonlinear hyperbolic equations, Riesz operators, eigenvalue distributions, approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, Applications of statistics to social sciences, Combinatorial aspects of partitions of integers, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Fixed-point and coincidence theorems (topological aspects), Transport processes in time-dependent statistical mechanics, Elementary functions, Fundamental solutions to PDEs, Noncommutative local and semilocal rings, perfect rings, Model systems in control theory, Artinian rings and modules (associative rings and algebras), Geo-electricity and geomagnetism, Special integral transforms (Legendre, Hilbert, etc.), Design of statistical experiments, Circuits, networks, Boundary value and inverse problems for harmonic functions in two dimensions, Propagation of singularities, initial value problems on manifolds, Internal waves for incompressible inviscid fluids, Ordinary differential equations and systems with randomness, Stochastic approximation, Learning and adaptive systems in artificial intelligence, Infinitely divisible distributions, stable distributions, Stochastic programming, Other matrix groups over fields, Dynamic programming, Matrices of integers, Topological spaces of dimension \(\leq 1\), curves, dendrites, Shocks and singularities for hyperbolic equations, Positive matrices and their generalizations, cones of matrices, Second-order elliptic equations, Fixed-point theorems, Iterative procedures involving nonlinear operators, Linear algebraic groups over finite fields, Radiative transfer in astronomy and astrophysics, Sensitivity (robustness), Recurrences, Stochastic systems in control theory (general), Nonparametric hypothesis testing, Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.), Connected and locally connected spaces (general aspects), Permutations, words, matrices, Vector spaces, linear dependence, rank, lineability, Combinatorial probability, General theory of partial differential operators, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), History of computer science, Exact distribution theory in statistics, Contingency tables, Spline approximation, Non-Archimedean valued fields, Fuzzy sets and logic (in connection with information, communication, or circuits theory), Factorial statistical designs, Sensitivity, stability, parametric optimization, Genetics and epigenetics, Control/observation systems governed by ordinary differential equations, Control problems for functional-differential equations, Applications of statistics to actuarial sciences and financial mathematics, Programming in abstract spaces, Dirichlet forms, Statistical block designs, Observability, Decoding, Bayesian inference, Free, projective, and flat modules and ideals in associative algebras, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), General topics in partial differential equations, Convolutional codes, Hyperbolic equations and hyperbolic systems, Operations with distributions and generalized functions, Planar graphs, geometric and topological aspects of graph theory, One-variable calculus, Rarefied gas flows, Boltzmann equation in fluid mechanics, Diffusion and convection, Large-scale systems, Initial value problems for higher-order hyperbolic equations, Injective modules, self-injective associative rings, Foundations and philosophical topics in statistics, Magnetohydrodynamics and electrohydrodynamics, Hermitian, skew-Hermitian, and related matrices, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, History of mathematics in the 18th century, Group rings of finite groups and their modules (group-theoretic aspects), Sampled-data control/observation systems, Other nonlinear integral equations, Connectivity, Methods involving semicontinuity and convergence, relaxation, Linear inequalities of matrices, General topics in linear spectral theory for PDEs, Variational inequalities, Other numerical methods in solid mechanics, Optimal statistical designs, Hierarchical systems, Numerical differentiation, Fixed points and periodic points of dynamical systems, fixed-point index theory, local dynamics, History of statistics, Characterization and structure theory of statistical distributions, Integral equations with kernels of Cauchy type, Congruences, primitive roots, residue systems, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Nonparametric estimation, Analysis on specific locally compact and other abelian groups, Numerical methods for integral transforms, Stochastic matrices, Mathematical sociology (including anthropology), Integral transforms of special functions, Abstract integral equations, integral equations in abstract spaces, Estimates of eigenvalues in context of PDEs, Numerical methods for integral equations, Optimality conditions for problems involving ordinary differential equations, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Variational methods applied to PDEs, Existence theories for optimal control problems involving ordinary differential equations, Statistical mechanics of ferroelectrics, Asymptotic properties of nonparametric inference, Sampling theory, sample surveys, Pseudodifferential operators and other generalizations of partial differential operators, Norms of matrices, numerical range, applications of functional analysis to matrix theory, General existence and uniqueness theorems (PDE), Characterization and structure theory for multivariate probability distributions, copulas, Configuration theorems in linear incidence geometry, Applications of statistics to economics, Asymptotic properties of parametric estimators, Geometric theory, characteristics, transformations in context of PDEs, Partial differential equations of mathematical physics and other areas of application, Asymptotic distribution theory in statistics, Asymptotic behavior of solutions to PDEs, Markov processes: estimation, hidden Markov models, History of potential theory, History of real functions, General systems, Surgery obstructions, Wall groups, Economic time series analysis, Sequential statistical design, Differentiable mappings in differential topology, Sequential statistical analysis, Boundary value problems for higher-order elliptic equations, Bayesian problems, characterization of Bayes procedures, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions), History of fluid mechanics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Continuous-time Markov processes on general state spaces, Minimal systems representations, Orthogonal arrays, Latin squares, Room squares, Hypothesis testing in multivariate analysis, Equations and inequalities involving linear operators, with vector unknowns, Environmental economics (natural resource models, harvesting, pollution, etc.), Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Transonic flows, Perturbations in context of PDEs, Hypoelliptic equations, Minimax procedures in statistical decision theory, Initial value problems for linear higher-order PDEs, Inventory, storage, reservoirs, Statistical ranking and selection procedures, Representation theory of groups, Applications of graph theory to circuits and networks, Existence theories for problems in abstract spaces, Game theory, Banach lattices, Parametric tolerance and confidence regions, Point estimation, Connections of harmonic functions with differential equations in higher dimensions, Monte Carlo methods, Multivariable systems, multidimensional control systems, Theory of operating systems, Integro-partial differential equations, General relativity, Applications to the sciences, Fibonacci and Lucas numbers and polynomials and generalizations, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Geometric probability and stochastic geometry, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Bernoulli and Euler numbers and polynomials, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, Atmospheric waves, Linear ordinary differential equations and systems, Software, source code, etc. for problems pertaining to probability theory, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Determinants, permanents, traces, other special matrix functions, Formal languages and automata, Blaschke products, etc, Multivariate distribution of statistics, Direct numerical methods for linear systems and matrix inversion, Theory of modules and ideals in commutative rings, Harmonic, subharmonic, superharmonic functions in higher dimensions, Isotropic turbulence, homogeneous turbulence, Differential geometric aspects in vector and tensor analysis, Boundary value problems for second-order elliptic equations, Numerical solutions to equations with linear operators, Realizations from input-output data, Combinatorial games, Nonlinear systems in control theory, Partial differential equations of mixed type and mixed-type systems of partial differential equations, Radix representation, digital problems, Singular perturbations in context of PDEs, Linear codes (general theory), Integral operators, Reliability and life testing, Control/observation systems governed by partial differential equations, Linear regression, mixed models, Pattern recognition, speech recognition, Other matrix algorithms, Pseudodifferential operators as generalizations of partial differential operators, Stochastic ordinary differential equations (aspects of stochastic analysis), Primes, Retraction, Spectral sets of linear operators, Critical points and critical submanifolds in differential topology, Linear systems in control theory, Nonclassical and second-order set theories, Numerical smoothing, curve fitting, Modules, bimodules and ideals in associative algebras, Paths and cycles, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, General biology and biomathematics, Additive difference equations, Singularities of differentiable mappings in differential topology

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20

Beyond fractional derivatives: local approximation of other convolution integrals

Authors: Singh, Satwinder Jit Chatterjee, Anindya

Source: Proceedings: Mathematical, Physical and Engineering Sciences, 2010 Feb 01. 466(2114), 563-581.

Access URL: https://www.jstor.org/stable/25661454

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Search Results - Finite-dimensional approximation to coefficient kernel function~

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