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Luca Pesce

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Related units (1)

Information, Learning & Physics Laboratory (SB/STI)

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IPHYS
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Related publications (7)

Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.

Asymptotics of feature learning in two-layer networks after one gradient-step

Yue Lu, Hugo Chao Cui, Florent Gérard Krzakala, Lenka Zdeborová, Bruno Loureiro, Luca Pesce

In this manuscript, we investigate the problem of how two-layer neural networks learn features from data, and improve over the kernel regime, after being trained with a single gradient descent step. Leveraging the insight from (Ba et al., 2022), we model t ...

2024

The Benefits of Reusing Batches for Gradient Descent in Two-Layer Networks: Breaking the Curse of Information and Leap Exponents

Florent Gérard Krzakala, Lenka Zdeborová, Emanuele Troiani, Luca Pesce

We investigate the training dynamics of two-layer neural networks when learning multi-index target functions. We focus on multi-pass gradient descent (GD) that reuses the batches multiple times and show that it significantly changes the conclusion about wh ...

JMLR2024

Theory and applications of the sum-of-squares technique

Elisabetta Cornacchia, Giovanni Piccioli, Luca Pesce

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 objective function as a sum of squares in a feature space, the SOS method t ...

2024