Results 131 to 140 of about 47,276 (293)
Jensen-Type Inequalities for Invex Functions
, 1999 Jensen's inequality for a real convex function f on a convex domain is generalised in several ways to vector functions with a cone inequality, and to invex functions generalizing convex ...
Craven, Bruce Desmond +2 more
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Duality and Convex Optimization
, 2018 Convex optimization is one of the main applications of the theory of convexity and Legendre–Fenchel duality is a basic tool, making more flexible the approach of many concrete problems.
Lars-Erik Persson +3 more
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Laser &Photonics Reviews, EarlyView.Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley +1 more source
A Method For Approximating Univariate Convex Functions Using Only Function Value Evaluations
In this paper, piecewise linear upper and lower bounds for univariate convex functions are derived that are only based on function value information. These upper and lower bounds can be used to approximate univariate convex functions.
Siem, A.Y.D. +2 more
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Computing Normalized Equilibria in Convex-Concave Games [PDF]
. This paper considers a fairly large class of noncooperative games in which strategies are jointly constrained. When what is called the Ky Fan or Nikaidô-Isoda function is convex-concave, selected Nash equilibria correspond to diagonal saddle points of ...
Flåm, Sjur Didrik, Ruszczynski, A.
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Polymer Composites, EarlyView.Overview of the holistic engineering lifecycle and core research pillars for wind turbine blades. ABSTRACT This paper reviews recent advancements across the lifecycle of wind turbine blades, focusing on three interconnected areas: advanced composites, structural optimization, and machine learning (ML) diagnostics. In materials, we highlight progress in
Kemal Hasirci +2 more
wiley +1 more source
Matrix convex functions with applications to weighted centers for semidefinite programming
In this paper, we develop various calculus rules for general smooth matrix-valued functions and for the class of matrix convex (or concave) functions first introduced by Loewner and Kraus in 1930s.
Zhang, S., Luo, Z-Q., Brinkhuis, J.
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Convex functions on Carnot groups
, 2007 We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of
Manfredi, Juan +3 more
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