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Just a Momentum: Analytical Study of Momentum-Based Acceleration Methods in Paradigmatic High-Dimensional Non-Convex Problems


Mar 11, 2021
Stefano Sarao Mannelli, Pierfrancesco Urbani

* 8 pages, 5 figures + appendix 

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Just a Momentum: Analytical Study of Momentum-Based Acceleration Methods in Paradigmatic High-Dimensional Non-Convex Problem


Feb 24, 2021
Stefano Sarao Mannelli, Pierfrancesco Urbani

* 8 pages, 5 figures + appendix 

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Just a Momentum: Analytical Study of Momentum-Based Acceleration Methods Methods in Paradigmatic High-Dimensional Non-Convex Problem


Feb 23, 2021
Stefano Sarao Mannelli, Pierfrancesco Urbani

* 8 pages, 5 figures + appendix 

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Epidemic mitigation by statistical inference from contact tracing data


Sep 20, 2020
Antoine Baker, Indaco Biazzo, Alfredo Braunstein, Giovanni Catania, Luca Dall'Asta, Alessandro Ingrosso, Florent Krzakala, Fabio Mazza, Marc Mézard, Anna Paola Muntoni, Maria Refinetti, Stefano Sarao Mannelli, Lenka Zdeborová

* 21 pages, 7 figures 

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Optimization and Generalization of Shallow Neural Networks with Quadratic Activation Functions


Jun 27, 2020
Stefano Sarao Mannelli, Eric Vanden-Eijnden, Lenka Zdeborová

* 10 pages, 4 figures + appendix 

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Complex Dynamics in Simple Neural Networks: Understanding Gradient Flow in Phase Retrieval


Jun 12, 2020
Stefano Sarao Mannelli, Giulio Biroli, Chiara Cammarota, Florent Krzakala, Pierfrancesco Urbani, Lenka Zdeborová

* 9 pages, 5 figures + appendix 

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Thresholds of descending algorithms in inference problems


Jan 04, 2020
Stefano Sarao Mannelli, Lenka Zdeborova

* 8 pages, 4 figures 

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Who is Afraid of Big Bad Minima? Analysis of Gradient-Flow in a Spiked Matrix-Tensor Model


Jul 22, 2019
Stefano Sarao Mannelli, Giulio Biroli, Chiara Cammarota, Florent Krzakala, Lenka Zdeborová

* 9 pages, 4 figures + appendix 

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Passed & Spurious: analysing descent algorithms and local minima in spiked matrix-tensor model


Feb 01, 2019
Stefano Sarao Mannelli, Florent Krzakala, Pierfrancesco Urbani, Lenka Zdeborová

* 12 pages + appendix, 10 figures 

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Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inference


Dec 21, 2018
Stefano Sarao Mannelli, Giulio Biroli, Chiara Cammarota, Florent Krzakala, Pierfrancesco Urbani, Lenka Zdeborová

* 10 pages and 5 figures + appendix 

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