Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 995-1041, May 2025.Abstract The randomly pivoted Cholesky algorithm (RPCholesky) computes a factorized rank‐k$k$ approximation of an N×N$N \times N$ positive‐semidefinite (psd) matrix. RPCholesky requires only (k+1)N$(k + 1)N$ entry evaluations and O(k2N)$\mathcal {O}(k^2 N)$ additional arithmetic operations, and it can be implemented with just a few lines of code.
Yifan Chen +3 more
wiley +1 more source
Transient Nonlinear Electrothermal Adjoint Sensitivity Analysis for HVDC Cable Joints
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Volume 38, Issue 3, May/June 2025.ABSTRACT Efficient computation of sensitivities is a promising approach for efficiently designing and optimizing high voltage direct current cable joints. This paper presents the adjoint variable method for coupled nonlinear transient electrothermal problems as an efficient approach to compute sensitivities with respect to a large number of design ...
M. Greta Ruppert +2 more
wiley +1 more source
Operator-Valued Twisted Araki-Woods Algebras. [PDF]
Commun Math PhysKumar RR, Wirth M.
europepmc +1 more source
Reflections on the Spatial Exponential Growth of Electromagnetic Quasinormal Modes
Laser &Photonics Reviews, Volume 19, Issue 9, May 6, 2025.Quasinormal modes (QNMs) offer a robust framework for understanding the physics of resonators. However, conceptual challenges arise in regions distant from resonators, where QNM fields exponentially grow. This growth is not unphysical, but gives rise to counterintuitive effects, which is explained by examining fundamentals of non‐Hermitian systems ...
Tong Wu +2 more
wiley +1 more source
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Entropy (Basel)Gu Y, Wang J.
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On the Stiefel-Whitney class of the adjoint representation of $E_8$ [PDF]
, 2004 Akihiro Ohsita
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley +1 more source
Enhancing hydrodynamic efficiency in Autonomous Underwater Vehicles (AUVs) utilizing adjoint method and proper orthogonal decomposition. [PDF]
PLoS OneBhuiyan SA, Hasan MJ, Hoque MA.
europepmc +1 more source
Equivalence of information production and generalised entropies in complex processes. [PDF]
PLoS One, 2023 Hanel R, Thurner S.
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Adjoint vector fields and differential operators on representation spaces [PDF]
, 2008 Dmitri I. Panyushev
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