Found 32 Documents (Results 1–32)
The Bregman proximal average. (English) Zbl 1501.49013
Strong convergence theorems for weighted resolvent average of a finite family of monotone operators. (English) Zbl 1513.47115
A proximal average for prox-bounded functions. (English) Zbl 1441.49022
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Proximal point algorithm for a countable family of weighted resolvent averages. (English) Zbl 1483.47095
Near equality and almost convexity of functions with applications to optimization and error bounds. (English) Zbl 1452.90244
Reviewer: Suvra Kanti Chakraborty (Kolkata)
Three step algorithm for weighted resolvent average of a finite family of monotone operators. (English) Zbl 1497.47091
Proximal average approximated incremental gradient descent for composite penalty regularized empirical risk minimization. (English) Zbl 1459.62156
The resolvent average of monotone operators: dominant and recessive properties. (English) Zbl 1357.47053
Reviewer: Sorin-Mihai Grad (Chemnitz)
On moving averages. (English) Zbl 1320.15031
Reviewer: Wai-Shun Cheung (Hong Kong)
The NC-proximal average for multiple functions. (English) Zbl 1317.90277
MSC:
90C30
Techniques and open questions in computational convex analysis. (English) Zbl 1286.90111
Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 485-500 (2013).
The optimal value and optimal solutions of the proximal average of convex functions. (English) Zbl 1254.90165
Graph-matrix calculus for computational convex analysis. (English) Zbl 1242.90163
Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 243-259 (2011).
Self-dual smooth approximations of convex functions via the proximal average. (English) Zbl 1250.26015
Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 23-32 (2011).
Reviewer: Rita Pini (Milano)
Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C.Byrne. (English) Zbl 1228.47052
Reviewer: Nicolas Hadjisavvas (Hermoupolis)
Convexity of the proximal average. (English) Zbl 1215.26010
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory. (English) Zbl 1247.47028
Leizarowitz, Arie (ed.) et al., Nonlinear analysis and optimization I. Nonlinear analysis. A conference in celebration of Alex Ioffe’s 70th and Simeon Reich’s 60th birthdays, Haifa, Israel, June 18–24, 2008. Providence, RI: American Mathematical Society (AMS); Ramat-Gan: Bar-Ilan University (ISBN 978-0-8218-4834-0/pbk). Contemporary Mathematics 513, 55-64 (2010).
The proximal average for saddle functions and its symmetry properties with respect to partial and saddle conjugacy. (English) Zbl 1190.26006
Reviewer: Costică Moroşanu (Iaşi)
The resolvent average for positive semidefinite matrices. (English) Zbl 1191.15024
Reviewer: Igor Klep (Ljubljana)
A proximal average for nonconvex functions: a proximal stability perspective. (English) Zbl 1206.26019
Reviewer: Svetlana A. Kravchenko (Minsk)
The kernel average for two convex functions and its application to the extension and representation of monotone operators. (English) Zbl 1189.47051
Reviewer: Gheorghe Moroşanu (Budapest)
The piecewise linear-quadratic model for computational convex analysis. (English) Zbl 1186.90089
Reviewer: Ya-Ping Fang (Chengdu)
The proximal average: Basic theory. (English) Zbl 1172.26003
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
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