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40. High-Order Forward-Backward Methods for Nonconvex Optimization
CANCELEDInvited abstract in session MD-1: Smoothing techniques for nonsmooth optimization, stream Nonsmooth and nonconvex optimization.
Monday, 16:30-18:30Authors (first author is the speaker)
| 1. | Alireza Kabgani
|
| Department of Mathematics, University of Antwerp | |
| 2. | Masoud Ahookhosh
|
| Department of Mathematics, University of Antwerp |
Abstract
This talk presents high-order forward-backward splitting mappings and their associated envelopes, exploring their properties to design efficient numerical algorithms for composite nonsmooth nonconvex optimization problems. We establish global and linear convergence guarantees under the Kurdyka-Łojasiewicz inequality, supported by rigorous theoretical analysis. The effectiveness of these algorithms is demonstrated through numerical experiments, highlighting their potential in tackling challenging nonconvex optimization tasks.
Keywords
- Non-smooth optimization
Status: accepted
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