Results 41 to 50 of about 179,012 (271)
On strongly convex functions [PDF]
, 2016 The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity.
Házy, Attila, Makó, Judit
core
Advanced Functional Materials, EarlyView.An additive and initiator‐free photoresin based on a prepolymer decorated with photoreactive step‐growth units as crosslinkers allows for the fabrication of 3D microstructures with strongly disparate mechanical properties ranging from stiff to soft. Abstract Manufacturing three‐dimensional (3D) microstructures with multi‐material properties via two ...
Tugce Nur Eren +7 more
wiley +1 more source
, 2018 This paper considers a conceptual version of a convex optimization algorithm whic is based on replacing a convex optimization problem with the root-finding problem for the approximate sub-differential mapping which is solved by repeated projection onto ...
Nurminski, Evgeni
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Advanced Functional Materials, EarlyView.The side‐chain configuration in the bay region of C‐shaped ortho‐benzodipyrrole‐based non‐fullerene acceptors plays a crucial role in their self‐assembly, single‐crystal structures, and optoelectronic properties. The closely correlated molecular structure and performance underscore the importance of minimizing A–A self‐aggregation and enhancing D–A ...
Yung‐Jing Xue +18 more
wiley +1 more source
An Extended Gradient Method for Smooth and Strongly Convex Functions
Mathematics, 2023 In this work, we introduce an extended gradient method that employs the gradients of the preceding two iterates to construct the search direction for the purpose of solving the centralized and decentralized smooth and strongly convex functions ...
Xuexue Zhang, Sanyang Liu, Nannan Zhao
doaj +1 more source
Non-ergodic Convergence Analysis of Heavy-Ball Algorithms
, 2018 In this paper, we revisit the convergence of the Heavy-ball method, and present improved convergence complexity results in the convex setting. We provide the first non-ergodic O(1/k) rate result of the Heavy-ball algorithm with constant step size for ...
Guan, Lei +5 more
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Rationally Designed Carbon Nanomaterials for Electrically Driven Solid‐State Hydrogen Storage
Advanced Functional Materials, EarlyView.A bottom‐up design principle integrating atomic‐level and nanoscale structural engineering is developed to guide the rational design of electrically tunable, solid‐state hydrogen storage materials that enable non‐dissociative chemisorption under applied electric fields.
Yong Gao +30 more
wiley +1 more source
Some new integral inequalities for higher-order strongly exponentially convex functions
Journal of Inequalities and Applications, 2023 Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of ...
Jaya Bisht +3 more
doaj +1 more source
Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime
Advanced Functional Materials, EarlyView.A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong +2 more
wiley +1 more source
An Accelerated Proximal Coordinate Gradient Method and its Application to Regularized Empirical Risk Minimization [PDF]
, 2014 We consider the problem of minimizing the sum of two convex functions: one is smooth and given by a gradient oracle, and the other is separable over blocks of coordinates and has a simple known structure over each block.
Lin, Qihang, Lu, Zhaosong, Xiao, Lin
core +3 more sources