Results 71 to 80 of about 16,327 (277)

Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses

Fractal and Fractional
This paper addresses the existence of mild solutions and the approximate controllability of a class of higher-order Hilfer fractional semi-linear neutral stochastic differential equations with non-instantaneous impulses in Hilbert spaces.
A. M. Sayed Ahmed, Taha Radwan, M. Elsaid Ramadan, Hamdy M. Ahmed   +3 more
doaj   +1 more source

Stochastic Approximations and Differential Inclusions [PDF]

, 2003
The dynamical systems approach to stochastic approximation is generalized to the case where the mean differential equation is replaced by a differential inclusion. The limit set theorem of Bena\"{\i}m and Hirsch is extended to this situation.
Benaïm, Michel, Sorin, Sylvain, Hofbauer, Josef   +2 more
core  

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

What Do Large Language Models Know About Materials?

Advanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer, Thomas Wallmersperger, Gianaurelio Cuniberti   +2 more
wiley   +1 more source

Uncertainty quantification with Bayesian higher order ReLU-KANs

Machine Learning: Science and Technology
We introduce the first method of uncertainty quantification in the domain of Kolmogorov–Arnold Networks, specifically focusing on (Higher Order) ReLU-KANs to enhance computational efficiency given the computational demands of Bayesian methods. The method
J Giroux, C Fanelli
doaj   +1 more source

An η-Power Stochastic Log-Logistic Diffusion Process: Statistical Computation and Application to Individuals Using the Internet in the United States

Mathematics
A new family of stochastic η-power log-logistic diffusion processes was introduced and defined based on the classical log-logistic diffusion model.
Safa’ Alsheyab
doaj   +1 more source

On Unique Solution of Quantum Stochastic Differential Inclusions [PDF]

, 2017
We investigate the existence of solutions of quantum stochastic differential inclusion (QSDI) with some uniqueness properties as a variant of the results in the literature.
Agarana, M. C., Bishop, S.A., Okagbue, H. I., Oghonyon, J. G.   +3 more
core  

Stochastic differential equations mixed model for individual growth with the inclusion of genetic characteristics [PDF]

In early work we have studied a class of stochastic differential equation (SDE) models, for which the Gompertz and the Bertalanffy-Richards stochastic models are particular cases, to describe individual growth in random environments, and applied it to ...
Jacinto, Gonçalo, Jacinto, G., Filipe, Patrícia A., Braumann, Carlos A., Jamba, N. T., Jamba, Nelson T., Filipe, P. A., Braumann, C. A.   +7 more
core   +1 more source

Field Report from Collaborative Research Center 1625: Heterogeneous Research Data Management Using Ontology Representations

Advanced Engineering Materials, EarlyView.
A unified research data management framework for heterogeneous materials data is presented. The system integrates multimodal datasets using ontologies and knowledge graphs, enabling interoperability and FAIR (findable, accessible, interoperable, reusable) data principles. By linking data across scales and workflows, it supports reproducible, Artifitial
Doaa Mohamed, Samuel García Vázquez, Behnam Mardani, Victor Dudarev, Alfred Ludwig, Maribel Acosta, Markus Stricker   +6 more
wiley   +1 more source

Existence and Uniqueness of Solutions to SDEs with Jumps and Irregular Drifts

Axioms
We focus on solving stochastic differential equations driven by jump processes (SDEJs) with measurable drifts that may exhibit quadratic growth. Our approach leverages a space transformation and Itô-Krylov’s formula to effectively eliminate the singular ...
Mhamed Eddahbi
doaj   +1 more source