Results 61 to 70 of about 40,373 (225)

A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on [0,1] and [0,∞) [PDF]

Journal of Computational and Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dette, Holger, Studden, William J.
openaire   +4 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Matrix-valued orthogonal polynomials on Matrix-valued orthogonal polynomials on R. Extending properties of classical orthogonal polynomials. Extending properties of classical orthogonal polynomials

, 2022
163 p.
openaire   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights

, 2007
We study a model of $n$ non-intersecting squared Bessel processes in the confluent case: all paths start at time $t = 0$ at the same positive value $x = a$, remain positive, and are conditioned to end at time $t = T$ at $x = 0$.
A. Altland, A. B. J. Kuijlaars, A. Borodin, A. Borodin, A. Göing-Jaeschke, A. Martínez-Finkelshtein, A. Okounkov, A. Soshnikov, A.B.J. Kuijlaars, A.B.J. Kuijlaars, A.I. Aptekarev, A.I. Aptekarev, A.S. Fokas, C. Tracy, C. Tracy, E. Coussement, E. Coussement, E. Daems, E. Daems, E. Platen, F. Wielonsky, J. Baik, J.B. Hough, K. Johansson, K.T.-R. McLaughlin, M. Abramowitz, M. Katori, M. Katori, M. Katori, P. Deift, P. Deift, P. Deift, P. Deift, P. Desrosiers, P.M. Bleher, P.M. Bleher, P.M. Bleher, S. Karlin, T. Claeys, T. Claeys, T. Claeys, V. Lysov, W. König, W. König   +43 more
core   +1 more source

Computation of matrix-valued formally orthogonal polynomials and applications

Journal of Computational and Applied Mathematics, 2001
This paper concerns an algorithm for generating vector-valued right and left formally orthogonal polynomials associated with a bilinear Hankel form with rectangular matrix-valued moments of any size. Linearly or almost linearly dependent columns and rows of the block Hankel matrix associated with that form are handled by a built-in deflation procedure ...
openaire   +2 more sources

Deformation of matrix-valued orthogonal polynomials related to Gelfand pairs

, 2016
19 ...
van Pruijssen, Maarten, Román, Pablo
openaire   +2 more sources

SiOx‐Based Probabilistic Bits Enabling Invertible Logic Gate for Cryptographic Applications

Advanced Intelligent Systems, EarlyView.
To enable lightweight hardware encryption and decryption, a Ti/SiOx/Ti threshold switching device is engineered to generate controllable stochastic oscillations. By tuning the input voltage, the device produces a programmable spike probability governed by intrinsic switching dynamics, enabling probabilistic bits that construct an invertible ...
Jihyun Kim, Hyeonsik Choi, Jiyong Woo
wiley   +1 more source

An note on the maximization of matrix valued Hankel determinants with application [PDF]

In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
core