Spectral Properties of Kernel Matrices in the Flat Limit
DOI10.1137/19M129677XzbMath1458.15012arXiv1910.14067OpenAlexW3120497583MaRDI QIDQ5150830
Simon Barthelmé, Konstantin Usevich
Publication date: 15 February 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14067
perturbation theoryeigenvalueseigenvectorsradial basis functionsdiscrete orthogonal polynomialskernel matricesflat limit
Gaussian processes (60G15) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Numerical interpolation (65D05) Kernel operators (47B34)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kernel spectral clustering of large dimensional data
- On collocation matrices for interpolation and approximation
- Multivariate interpolation with increasingly flat radial basis functions of finite smoothness
- Derivatives for antisymmetric tensor powers and perturbation bounds
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Higher order derivatives and perturbation bounds for determinants
- The spectrum of kernel random matrices
- On spectral distribution of kernel matrices related to radial basis functions
- A study on multivariate interpolation by increasingly flat kernel functions
- Interpolation of spatial data. Some theory for kriging
- Norm estimates for inverses of Toeplitz distance matrices
- Some observations regarding interpolants in the limit of flat radial basis functions
- Preconditioned conjugate gradients, radial basis functions, and Toeplitz matrices
- Interpolation in the limit of increasingly flat radial basis functions
- Perturbation theory for linear operators.
- A unifying approach to some old and new theorems on distribution and clustering
- Polynomial interpolation in several variables
- Multivariate interpolation by polynomials and radial basis functions
- Consistency of spectral clustering
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- Limit problems for interpolation by analytic radial basis functions
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- On the eigenvalues of a class of saddle point matrices
- First Order Asymptotic Expansions for Eigenvalues of Multiplicatively Perturbed Matrices
- Polynomial Interpolation in Several Variables: Lattices, Differences, and Ideals
- Stable Computations with Gaussian Radial Basis Functions
- Kernel techniques: From machine learning to meshless methods
- Perturbation Bounds for Determinants and Characteristic Polynomials
- Realistic Eigenvalue Bounds for the Galerkin Mass Matrix
- Spectral properties of distance matrices
- On the Numerical Rank of Radial Basis Function Kernels in High Dimensions
- Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
- Asymptotic Spectra of Hermitian Block Toeplitz Matrices and Preconditioning Results
- Factorization, Symmetrization, and Truncated Transformation of Radial Basis Function-GA Stabilized Gaussian Radial Basis Functions
- Scattered Data Approximation
- Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
This page was built for publication: Spectral Properties of Kernel Matrices in the Flat Limit