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- JÃ©rÃ´me Bolte, Shoham Sabach, Marc Teboulle
- Math. Program.
- 2014

We introduce a proximal alternating linearized minimization (PALM) algorithm for solving a broad class of nonconvex and nonsmooth minimization problems. Building on the powerful KurdykaLojasiewiczâ€¦ (More)

This supplementary material includes numerical examples demonstrating the flexibility and potential of the algorithm PAPC developed in the paper. We show that PAPC does behave numerically asâ€¦ (More)

- Amir Beck, Shoham Sabach
- J. Optimization Theory and Applications
- 2015

In 1937 the 16 years old Hungarian mathematician Endre Weiszfeld devised a method for solving the Fermat-Weber location problem â€“ a problem whose origins can be traced back to the 17th century. Thisâ€¦ (More)

- GÃ¡bor Kassay, Simeon Reich, Shoham Sabach
- SIAM Journal on Optimization
- 2011

We prove strong convergence theorems for three iterative algorithms which approximate solutions to systems of variational inequalities for mappings of monotone type. All the theorems are set inâ€¦ (More)

- Amir Beck, Edouard Jean Robert Pauwels, Shoham Sabach
- SIAM Journal on Optimization
- 2015

In this paper we study the convex problem of optimizing the sum of a smooth function and a compactly supported nonsmooth term with a specific separable form. We analyze the block version of theâ€¦ (More)

- JÃ©rÃ´me Bolte, Shoham Sabach, Marc Teboulle, Yakov Vaisbourd
- ArXiv
- 2017

We focus on nonconvex and nonsmooth minimization problems with a composite objective, where the differentiable part of the objective is freed from the usual and restrictive global Lipschitz gradientâ€¦ (More)

- Amir Beck, Shoham Sabach
- Math. Program.
- 2014

We consider a general class of convex optimization problems in which one seeks to minimize a strongly convex function over a closed and convex set which is by itself an optimal set of another convexâ€¦ (More)

- Shoham Sabach
- SIAM Journal on Optimization
- 2011

We propose two algorithms for finding (common) zeroes of finitely many maximal monotone mappings in reflexive Banach spaces. These algorithms are based on the Bregman distance related to aâ€¦ (More)

- Yoel Drori, Shoham Sabach, Marc Teboulle
- Oper. Res. Lett.
- 2015

We overcome two major limitations in ptychography â€“ a powerful scanning-based coherent diffraction imaging technique. We demonstrate single-shot ptychography, overcoming the scanning-limited temporalâ€¦ (More)