Results 101 to 110 of about 16,403 (208)

An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition

Journal of Function Spaces, 2015
We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition.
A. Guezane-Lakoud, N. Bendjazia, R. Khaldi   +2 more
doaj   +1 more source

Theoretical Perspectives on Knowledge Distillation: A Review

WIREs Computational Statistics, Volume 17, Issue 4, December 2025.
A diagram for response‐based knowledge distillation. ABSTRACT Knowledge distillation (KD) is a widely used technique for transferring predictive behavior from a high‐capacity teacher model to a compact student model, providing a scalable strategy to compress and adapt foundation models to downstream tasks while allowing the distillation process to be ...
Chuanhui Liu, Haoyun Yin, Xiao Wang
wiley   +1 more source

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

Journal of Taibah University for Science, 2019
In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions.
Ali Akgül
doaj   +1 more source

ROCK: A variational formulation for occupation kernel methods in Reproducing Kernel Hilbert Spaces

We present a Representer Theorem result for a large class of weak formulation problems. We provide examples of applications of our formulation both in traditional machine learning and numerical methods as well as in new and emerging techniques. Finally we apply our formulation to generalize the multivariate occupation kernel (MOCK) method for learning ...
Rielly, Victor, Lahouel, Kamel, Nguyen, Chau, Kolshorn, Anthony, Fisher, Nicholas, Jedynak, Bruno   +5 more
openaire   +2 more sources

Differentiating Frictionally Locked Asperities From Kinematically Coupled Zones

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 10, October 2025.
Abstract Seismogenic areas on plate‐boundary faults resist slipping until earthquakes begin. The delay in slip relative to plate motion, termed slip deficit, represents plate coupling as an interseismic proxy of seismic potential. However, when a part of a frictional interface sticks together (locked), the unlocked sliding surroundings are braked and ...
Dye SK Sato, Takane Hori, Yukitoshi Fukahata   +2 more
wiley   +1 more source

Do Ocean Dynamics Contribute to Coastal Floods? A Case Study of the Shelfbreak Jet and Coastal Sea Level Along Southern New England (U.S.)

Earth's Future, Volume 13, Issue 10, October 2025.
Abstract Ocean dynamics related to large‐scale circulation, such as the Gulf Stream, and smaller local ocean currents are an important driver of coastal sea‐level variability along the U.S. East Coast. A relevant circulation feature in Southern New England is the Shelfbreak Jet (SBJ).
C. M. L. Camargo, C. G. Piecuch, B. Raubenheimer   +2 more
wiley   +1 more source

Structural identification of material properties and load parameters using a differentiable material point method

Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 24, Page 3856-3874, 6 October 2025.
Abstract This study introduces a novel optimization framework based on the differentiable material point method (DiffMPM) for the identification of structural and loading parameters from dynamic structural monitoring data. Structural health monitoring (SHM) methodologies are often challenged by the need to interpret limited and noisy measurements for ...
Jeffrey Cheng, Krishna Kumar, Matthew J. DeJong   +2 more
wiley   +1 more source

A numerical approach for solving the high-order nonlinear singular Emden–Fowler type equations

Advances in Difference Equations, 2018
Reproducing kernel Hilbert space method (RKHSM) is an analytical technique, which can overcome the difficulty at the singular point of non-homogeneous, linear singular initial value problems; especially when the singularity appears on the right-hand side
Atta Dezhbord, Taher Lotfi, Katayoun Mahdiani   +2 more
doaj   +1 more source

Entropy Measures for Stochastic Processes with Applications in Functional Anomaly Detection

Entropy, 2018
We propose a definition of entropy for stochastic processes. We provide a reproducing kernel Hilbert space model to estimate entropy from a random sample of realizations of a stochastic process, namely functional data, and introduce two approaches to ...
Gabriel Martos, Nicolás Hernández, Alberto Muñoz, Javier M. Moguerza   +3 more
doaj   +1 more source

Error analysis of reproducing kernel Hilbert space method for solving functional integral equations

Journal of Computational and Applied Mathematics, 2016
This paper is devoted to error analysis of reproducing kernel Hilbert space method for solving linear and nonlinear Volterra integral equations in some reproducing kernel Hilbert spaces. Finally, some examples are given to illustrate and confirm error analysis of the method.
Eslam Moradi, Esmail Babolian, Shahnam Javadi   +2 more
openaire   +2 more sources