Matrix Completion via Nonsmooth Regularization of Fully Connected Neural Networks

no code implementations • 15 Mar 2024 • Sajad Faramarzi, Farzan Haddadi, Sajjad Amini, Masoud Ahookhosh

As such, the resulting regularized objective function becomes nonsmooth and nonconvex, i. e., existing gradient-based methods cannot be applied to our model.

Matrix Completion

Block Alternating Bregman Majorization Minimization with Extrapolation

1 code implementation • 9 Jul 2021 • Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis, Masoud Ahookhosh, Panagiotis Patrinos

In this paper, we consider a class of nonsmooth nonconvex optimization problems whose objective is the sum of a block relative smooth function and a proper and lower semicontinuous block separable function.

Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization

1 code implementation • 4 Aug 2019 • Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos

We introduce and analyze BPALM and A-BPALM, two multi-block proximal alternating linearized minimization algorithms using Bregman distances for solving structured nonconvex problems.

Optimization and Control Numerical Analysis Numerical Analysis

Bregman forward-backward splitting for nonconvex composite optimization: superlinear convergence to nonisolated critical points

1 code implementation • 28 May 2019 • Masoud Ahookhosh, Andreas Themelis, Panagiotis Patrinos

We introduce Bella, a locally superlinearly convergent Bregman forward-backward splitting method for minimizing the sum of two nonconvex functions, one of which satisfying a relative smoothness condition and the other one possibly nonsmooth.

Optimization and Control 90C06, 90C25, 90C26, 49J52, 49J53

Creation and analysis of biochemical constraint-based models: the COBRA Toolbox v3.0

2 code implementations • 11 Oct 2017 • Laurent Heirendt, Sylvain Arreckx, Thomas Pfau, Sebastián N. Mendoza, Anne Richelle, Almut Heinken, Hulda S. Haraldsdóttir, Jacek Wachowiak, Sarah M. Keating, Vanja Vlasov, Stefania Magnusdóttir, Chiam Yu Ng, German Preciat, Alise Žagare, Siu H. J. Chan, Maike K. Aurich, Catherine M. Clancy, Jennifer Modamio, John T. Sauls, Alberto Noronha, Aarash Bordbar, Benjamin Cousins, Diana C. El Assal, Luis V. Valcarcel, Iñigo Apaolaza, Susan Ghaderi, Masoud Ahookhosh, Marouen Ben Guebila, Andrejs Kostromins, Nicolas Sompairac, Hoai M. Le, Ding Ma, Yuekai Sun, Lin Wang, James T. Yurkovich, Miguel A. P. Oliveira, Phan T. Vuong, Lemmer P. El Assal, Inna Kuperstein, Andrei Zinovyev, H. Scott Hinton, William A. Bryant, Francisco J. Aragón Artacho, Francisco J. Planes, Egils Stalidzans, Alejandro Maass, Santosh Vempala, Michael Hucka, Michael A. Saunders, Costas D. Maranas, Nathan E. Lewis, Thomas Sauter, Bernhard Ø. Palsson, Ines Thiele, Ronan M. T. Fleming

This protocol can be adapted for the generation and analysis of a constraint-based model in a wide variety of molecular systems biology scenarios.

Experimental Design