Results 51 to 60 of about 9,842 (165)
Multiplicity of solutions for nonlocal fractional equations with nonsmooth potentials
上海师范大学学报. 自然科学版, 2019 This paper is concerned with a class of nonlocal fractional Laplacian problems with nonsmooth potentials. By exploiting an abstract three critical points theorem for nonsmooth functionals, combining with an analytical context on fractional Sobolev spaces,
YUAN Ziqing
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Nontrivial Solutions of Quasilinear Equations In BV [PDF]
, 1996 The existence of a nontrivial critical point is proved for a functional containing an area-type term.
Marzocchi, Marco
core
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Generalisation is a crucial aspect of deep learning, enabling models to perform well on unseen data. Currently, most optimisers that improve generalisation typically suffer from efficiency bottlenecks. This paper proposes a double‐integration‐enhanced stochastic gradient descent (DIESGD) optimiser, which treats the negative gradient as an ...
Ting Li +3 more
wiley +1 more source
Mathematical Modelling and Analysis, 2006 We establish the existence of an entire solution for a class of stationary Schrodinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow‐up at infinity.
T. L. Dinu
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Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
Journal of Field Robotics, Volume 43, Issue 3, Page 2521-2547, May 2026.ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
wiley +1 more source
Two solutions for fractional p-Laplacian inclusions under nonresonance
Electronic Journal of Differential Equations, 2018 We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity.
Antonio Iannizzotto +2 more
doaj
Advanced Intelligent Discovery, Volume 2, Issue 2, April 2026.This work presents a novel generative artificial intelligence (AI) framework for inverse alloy design through operations (optimization and diffusion) within learned compact latent space from variational autoencoder (VAE). The proposed work addresses challenges of limited data, nonuniqueness solutions, and high‐dimensional spaces.
Mohammad Abu‐Mualla +4 more
wiley +1 more source
Asynchronous Optimization Methods for Efficient Training of Deep Neural Networks with Guarantees
, 2020 Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training.
Alistarh, Dan +3 more
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Weak solutions to general Euler's equations via nonsmooth critical point theory [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000 Using the nonsmooth critical point theory the author proves the existence of a nontrivial weak solution for a general class of nonlinear elliptic boundary value problems on a bounded domain.
openaire +2 more sources
Bio‐Inspired Optimisation Methods Applied to Low Carbon Power and Energy Problems: A Survey
CAAI Transactions on Intelligence Technology, Volume 11, Issue 2, Page 297-315, April 2026.ABSTRACT Bio‐inspired optimisation methods have been widely applied to complex real‐world problems, particularly in low‐carbon power and energy systems, where optimisation tasks often involve high‐dimensional, constrained and mixed‐integer characteristics.
Tianyu Hu +4 more
wiley +1 more source