Free PDF Abstract Convexity and Global Optimization (Nonconvex Optimization and Its Applications)

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Book Details :
Published on: 2010-02-19
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Original language: English

Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac­ complish a local approximation of a given function in a neighbourhood of a given point. This kind of approximation is very useful in the study of local extrema. However, local approximation alone cannot help to solve many problems of global optimization, so there is a clear need to develop special global tools for solving these problems. The simplest and most well-known area of global and simultaneously local optimization is convex programming. The fundamental tool in the study of convex optimization problems is the subgradient, which actu­ ally plays both a local and global role. First, a subgradient of a convex function f at a point x carries out a local approximation of f in a neigh­ bourhood of x. Second, the subgradient permits the construction of an affine function, which does not exceed f over the entire space and coincides with f at x. This affine function h is called a support func­ tion. Since f(y) ~ h(y) for ally, the second role is global. In contrast to a local approximation, the function h will be called a global affine support. Publications of Jason Chen - Publications of Jason Chen (ORCID: 0000-0002-4596-9419) Journal papers . X-H Miao Y-L Chang and J-S Chen On merit functions for p-order cone complementarity ... Accepted Papers ICML New York City We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First we prove that the popular model of Dawid ... Home - Springer Providing researchers with access to millions of scientific documents from journals books series protocols and reference works. [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ... Recent Updates :: SSRN - Social Science Research Network What's New At SSRN was generated on 10/11/2016 23:00:29 This is a list of Abstract Pages that have been updated in the last 21 days. 3252 Sex-Based Differences in ... Sessions - mathweb.sc.niigata-u.ac.jp August 2nd (Tue) Afternoon TIME Room A Room B Room C Room D Room E 13:10 14:40 Parallel (TU3A) Parallel (TU3B) Organized (TU3C) Organized (TU3D) Parallel FMI: Promotionen 2017 : Promovend: Thema: Betreuer: Gutachter: akad. Grad: Fachgebiet: M. Sc. Enno Keler: The Super Conformal Action Functional on Super Riemann Surfaces: Jrgen Jost CVPR 2014 papers on the web - Papers Accepted Orals Reconstructing Storyline Graphs for Image Recommendation from Web Community Photos (project PDF) Gunhee Kim* (Disney Research) Eric Xing (Carnegie ...
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