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Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach
A general, rectangular kernel matrix may be defined as K ij= κ (xi, yj) K _ ij= κ\left (x _i, y
_j\right) where κ (x, y) κ\left (x, y\right) is a kernel function and where X= xi i= 1 m X=\left {x …
_j\right) where κ (x, y) κ\left (x, y\right) is a kernel function and where X= xi i= 1 m X=\left {x …
Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions
In this paper, we introduce a method for multivariate function approximation using function
evaluations, Chebyshev polynomials, and tensor-based compression techniques via the …
evaluations, Chebyshev polynomials, and tensor-based compression techniques via the …
Scalable Gaussian process analysis for implicit physics-based covariance models
The performance of Gaussian process analysis can be significantly affected by the choice of
the covariance function. Physics-based covariance models provide a systematic way to …
the covariance function. Physics-based covariance models provide a systematic way to …
Structured Low-Complexity Matrix and Tensor Approximation with Applications
Y Chen - 2023 - search.proquest.com
Matrix and tensor operations play a vital role in diverse fields such as machine learning,
numerical analysis, computational physics and optimization. As data sizes continue to grow …
numerical analysis, computational physics and optimization. As data sizes continue to grow …
[KIRJA][B] Randomized Algorithms for Tensors and Matrices with Applications
RL Minster - 2021 - search.proquest.com
Rigidity of Microsphere Heaps Page 1 ABSTRACT MINSTER, RACHEL LYNN.
Randomized Algorithms for Tensors and Matrices with Applications. (Under the direction of …
Randomized Algorithms for Tensors and Matrices with Applications. (Under the direction of …
-Matrix Accelerated Solution of Surface–Volume–Surface EFIE for Fast Electromagnetic Analysis on 3-D Composite Dielectric Objects
An efficient fast direct algorithm based on the hierarchical (-) matrices is presented for
solution of the radiation problems on piecewise homogeneous dielectric objects using …
solution of the radiation problems on piecewise homogeneous dielectric objects using …