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math.OC2024
Fast Stochastic Composite Minimization and an Accelerated Frank-Wolfe Algorithm under Parallelization
Benjamin Dubois-Taine, Francis Bach, Quentin Berthet +1
We consider the problem of minimizing the sum of two convex functions. One of those functions has Lipschitz-continuous gradients, and can be accessed via stochastic oracles, wherea…
math.OC2024
Theory and applications of the Sum-Of-Squares technique
Francis Bach, Elisabetta Cornacchia, Luca Pesce +1
The Sum-of-Squares (SOS) approximation method is a technique used in optimization problems to derive lower bounds on the optimal value of an objective function. By representing the…