Results 1 to 10 of about 1,126,628 (203)
A convex approach to hydrodynamic analysis [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 Preliminary version submitted to 54rd IEEE Conference on Decision and Control, Dec.
Antonis Papachristodoulou +2 more
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A convexity of functions on convex metric spaces of Takahashi and applications [PDF]
arXiv, 2015 We quickly review and make some comments on the concept of convexity in metric spaces due to Takahashi. Then we introduce a concept of convex structure based convexity to functions on these spaces and refer to it as $W-$convexity. $W-$convex functions generalize convex functions on linear spaces. We discuss illustrative examples of (strict) $ W-$convex
Abdelhakim, Ahmed A.
arxiv +5 more sources
Convex analysis on polyhedral spaces [PDF]
Mathematische Zeitschrift, 2022 AbstractWe introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.
Botero, Ana Maria +2 more
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Near-Convex Archetypal Analysis [PDF]
IEEE Signal Processing Letters, 2020 Nonnegative matrix factorization (NMF) is a widely used linear dimensionality reduction technique for nonnegative data. NMF requires that each data point is approximated by a convex combination of basis elements. Archetypal analysis (AA), also referred to as convex NMF, is a well-known NMF variant imposing that the basis elements are themselves convex ...
Pierre De Handschutter +3 more
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An extension of the proximal point algorithm beyond convexity [PDF]
Journal of Global Optimization, 2021, 2021 We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly convex, and DC (difference of convex) functions that are prox-convex, however none of these classes fully contains ...
arxiv +1 more source
Convex analysis and thermodynamics [PDF]
Kinetic & Related Models, 2013 Convex analysis is very useful to prove that a material model fulfills the second law of thermodynamics. Dissipation must remains non-negative and an elegant way to ensure this property is to construct an appropriate pseudo-potential of dissipation.
Point, Nelly, Erlicher, Silvano
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Mathematical Programming, 2014 International ...
Combettes, Patrick Louis +2 more
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Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection [PDF]
, 2017 We investigate the utility of the convex hull of many Lagrangian tracers to analyze transport properties of turbulent flows with different anisotropy. In direct numerical simulations of statistically homogeneous and stationary Navier-Stokes turbulence ...
Busse, A. +4 more
core +5 more sources
Convexity in Real Analysis [PDF]
Real Analysis Exchange, 2011 We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas.
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Introduction to Convex and Quasiconvex Analysis [PDF]
, 2006 In the first chapter of this book the basic results within convex and quasiconvex analysis are presented. In Section 2 we consider in detail the algebraic and topological properties of convex sets within ℝn together with their primal and dual representations. In Section 3 we apply the results for convex sets to convex and quasiconvex functions and show
J.B.G. Frenk, G. Kassay
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