Results 121 to 130 of about 1,833 (248)

On the Mean‐Field Limit of Consensus‐Based Methods

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

Homogeneous Observer‐Based Affine Formation Tracking

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2692-2704, 25 March 2026.
ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López, Miguel Aranda, Rosario Aragüés, Carlos Sagüés   +3 more
wiley   +1 more source

Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity. [PDF]

Sci Rep
Hu W, Wu J, Yuan G.
europepmc   +1 more source

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

Evolution's hidden architecture: a non-lipschitz theory of creation and catastrophe. [PDF]

BMC Ecol Evol
Durán-Olivencia MA.
europepmc   +1 more source

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]

J Nonlinear Sci
Carrillo JA, Esposito A, Mikolás L.
europepmc   +1 more source

Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]

PLoS One
Gan T, Khan VK, Ahmad MK, Cai QB.
europepmc   +1 more source

Advances in Generative Models for Accelerated Discovery of New Materials

cScience, Volume 2, Issue 1, March 2026.
ABSTRACT The discovery of new materials can drive tremendous social and technological progress. However, the vastness of the material space makes comprehensive exploration computationally infeasible. This paper reviews the inverse design methods of generative models in materials science, aiming to discover customized materials based on specific ...
Yuan Jiang, Jinshan Li, Zhuoyue Yang, Ningxin Hou, Jun Wang, Bin Tang, Ruihao Yuan   +6 more
wiley   +1 more source