Zobrazeno 1 - 10
of 122
pro vyhledávání: '"CARTIS, C."'
A trust-region algorithm using inexact function and derivatives values is introduced for solving unconstrained smooth optimization problems. This algorithm uses high-order Taylor models and allows the search of strong approximate minimizers of arbitr
Externí odkaz:
http://arxiv.org/abs/2011.00854
Akademický článek
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Publikováno v:
Journal of Complexity, vol. 53, pp. 68-94, 2019
Necessary conditions for high-order optimality in smooth nonlinear constrained optimization are explored and their inherent intricacy discussed. A two-phase minimization algorithm is proposed which can achieve approximate first-, second- and third-or
Externí odkaz:
http://arxiv.org/abs/1705.07285
Publikováno v:
Applied and Computational Harmonic Analysis. 62:498-542
We investigate the problem of recovering a partially observed high-rank matrix whose columns obey a nonlinear structure such as a union of subspaces, an algebraic variety or grouped in clusters. The recovery problem is formulated as the rank minimiza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22db64da5fd2cb116cb39c3a40562b53
https://doi.org/10.1016/j.acha.2022.11.001
https://doi.org/10.1016/j.acha.2022.11.001
Autor:
Cartis, C, Roberts, L
Publikováno v:
Mathematical Programming. 199:461-524
We introduce a general framework for large-scale model-based derivative-free optimization based on iterative minimization within random subspaces. We present a probabilistic worst-case complexity analysis for our method, where in particular we prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c81a255db4b385099f05ae87619d70fd
https://doi.org/10.1007/s10107-022-01836-1
https://doi.org/10.1007/s10107-022-01836-1
Autor:
Cartis, C.1 (AUTHOR) coralia.cartis@maths.ox.ac.uk, Gould, N. I. M.2 (AUTHOR), Toint, Ph. L.3 (AUTHOR)
Publikováno v:
Optimization Methods & Software. Apr2020, Vol. 35 Issue 2, p243-256. 14p.
Publikováno v:
SIAM Journal on Numerical Analysis, 2010 Jan 01. 48(1), 1-29.
Externí odkaz:
https://www.jstor.org/stable/41062732
Autor:
Cartis, C.1 cartis@maths.ox.ac.uk, Scheinberg, K.2 katyas@lehigh.edu
Publikováno v:
Mathematical Programming. Jun2018, Vol. 169 Issue 2, p337-375. 39p.
Autor:
Cartis, C.1 (AUTHOR) coralia.cartis@maths.ox.ac.uk, Gould, N.I.M.2 (AUTHOR), Toint, Ph.L.3 (AUTHOR)
Publikováno v:
Optimization Methods & Software. December 2017, Vol. 32 Issue 6, p1273-1298. 26p.
Akademický článek
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