Results 71 to 80 of about 619,204 (327)
Advanced Engineering Materials, EarlyView.Temporal power modulation increases weld depth in high‐power laser beam welding of dissimilar round bars by nearly 20% compared to same average continuously welded welding power. The mechanism of action also applies to sheet welding and depends on the inertia of keyhole depth for the modulated laser beam power.
Jan Grajczak +7 more
wiley +1 more source
Non-convex Optimization for Machine Learning
, 2017 A vast majority of machine learning algorithms train their models and perform inference by solving optimization problems. In order to capture the learning and prediction problems accurately, structural constraints such as sparsity or low rank are ...
Jain, Prateek, Kar, Purushottam
core +1 more source
Sharp boundary regularity for some degenerate-singular Monge-Ampère Equations on k-convex domain [PDF]
arXiv, 2023 We introduce the concept of k-strictly convexity to describe the accurate convexity of convex domains some directions of which boundary may be flat. Basing this accurate convexity, we construct sub-solutions the Dirichlet problem for some degenerate-singular Monge-Amp\`ere type equations and prove the sharp boundary estimates for convex viscosity ...
arxiv
A Survey of Hidden Convex Optimization [PDF]
Journal of the Operations Research Society of China, 2020 Motivated by the fact that not all nonconvex optimization problems are difficult to solve, we survey in this paper three widely-used ways to reveal the hidden convex structure for different classes of nonconvex optimization problems. Finally, ten open problems are raised.
openaire +3 more sources
Simulation of Inhomogeneous Refractive Index Fields Induced by Hot Tailored Forming Components
Advanced Engineering Materials, EarlyView.This article presents a simulation model for simulating inhomogeneous refractive index fields (IRIF) in hot‐forged components, accounting for thermal influences and complex geometries. Through this simulation, a priori knowledge about the propagation of the IRIF can be obtained, allowing for the positioning of the component or an optical measurement ...
Pascal Kern +3 more
wiley +1 more source
Research on Multibeam Pattern Synthesis of Time Modulated Array Based on Convex Optimization
International Journal of Antennas and Propagation, 2021 An efficient multibeam pattern synthesis method for time modulated array (TMA) is proposed in this paper. The aim of this method is to generate a beam pattern on the specified sideband of TMA. The pattern synthesis problem is divided into two stages.
Jiawen Hu +4 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley +1 more source
Approximations of unbounded convex projections and unbounded convex sets [PDF]
arXiv, 2023 We consider the problem of projecting a convex set onto a subspace, or equivalently formulated, the problem of computing a set obtained by applying a linear mapping to a convex feasible set. This includes the problem of approximating convex sets by polyhedrons. The existing literature on convex projections provides methods for bounded convex sets only,
arxiv
Scalable Fabrication of Height‐Variable Microstructures with a Revised Wetting Model
Advanced Engineering Materials, EarlyView.Height‐variable microstructures are fabricated using a scalable CO2 laser machining approach, enabling precise control of wettability through structural gradients. Classical wetting models fail to capture height‐induced effects, necessitating a revised theoretical framework.
Prabuddha De Saram +2 more
wiley +1 more source
Strong Fenchel Duality for Evenly Convex Optimization Problems
Journal of Applied Science and Engineering, 2023 Among a variety of approaches introduced in the literature to establish duality theory, Fenchel duality was of great importance in convex analysis and optimization. In this paper we establish some conditions to obtain classical strong Fenchel duality for
Saba Naser Majeed
doaj +1 more source