Results 71 to 80 of about 4,084 (221)

Nonsmooth analysis on smooth manifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 2007
We study infinitesimal properties of nonsmooth (nondifferentiable) functions on smooth manifolds. The eigenvalue function of a matrix on the manifold of symmetric matrices gives a natural example of such a nonsmooth function. A subdifferential calculus for lower semicontinuous functions is developed here for studying constrained optimization problems ...
Ledyaev, Yu. S., Zhu, Qiji J.
openaire   +2 more sources

Adaptive Machine Learning Framework for Optimizing the Affinity Purification of Adeno‐Associated Viral Vectors

open access: yesBiotechnology and Bioengineering, Volume 123, Issue 5, Page 1107-1122, May 2026.
ABSTRACT Adeno‐associated viral (AAV) vectors for gene therapy are becoming integral to modern medicine, providing therapeutic options for diseases once deemed incurable. Currently, viral vector purification is a critical bottleneck in the gene therapy industry, impacting product efficacy and safety as well as accessibility and cost to patients ...
Kelvin P. Idanwekhai   +9 more
wiley   +1 more source

Nonsmooth modal analysis: from the discrete to the continuous settings [PDF]

open access: yes, 2018
International audienceThis chapter addresses the prediction of vibratory resonances in nonsmooth structural systems via Nonsmooth Modal Analysis. Nonsmoothness in the trajectories is induced by unilateral contact conditions in the governing (in)equations.
Thorin, Anders   +3 more
core   +1 more source

Constant Sign and Nodal Solutions for Problems with the -Laplacian and a Nonsmooth Potential Using Variational Techniques

open access: yesBoundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the -Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Filippakis MichaelE   +3 more
doaj  

Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.
ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley   +1 more source

Nonsmooth analysis and optimization on partially ordered vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments

open access: yesJournal 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

Nonsmooth critical point theory and applications

open access: yes, 1997
Nonsmooth critical point theory is applied to problems in ...
Degiovanni M., Marco Degiovanni
core   +1 more source

Inverse Design of Alloys via Generative Algorithms: Optimization and Diffusion within Learned Latent Space

open access: yesAdvanced 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

Nonsmooth analysis and optimization. [PDF]

open access: yes, 1993
Huang Liren.Thesis (Ph.D.)--Chinese University of Hong Kong, 1993.Includes bibliographical references (leaves 96).Abstract --- p.1Introduction --- p.2References --- p.5Chapter Chapter 1.

core  

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