Francesca Mignacco
Ph.D. student @ IPhT, Université Paris-Saclay

About

Hi! My name is Francesca. I am a Ph.D. student at the Institute of Theoretical Physics, Paris-Saclay University. My thesis is supervised by Lenka Zdeborová (EPFL) and Pierfrancesco Urbani (IPhT) and lies at the crossroads of statistical mechanics and machine learning.

I am interested in understanding the principles underlying learning in neural networks. I work on the high-dimensional dynamics of stochastic optimisation algorithms, investigating the reasons behind their good generalisation properties.

CV [PDF]

Publications
See also my Google Scholar page!

Learning curves for the multi-class teacher-student perceptron [PDF]

Elisabetta Cornacchia, Francesca Mignacco, Rodrigo Veiga, Cédric Gerbelot, Bruno Loureiro, Lenka Zdeborová
arXiv preprint: arXiv:2203.12094

The effective noise of Stochastic Gradient Descent [PDF]

Francesca Mignacco, Pierfrancesco Urbani
arXiv preprint arXiv:2112.10852 (2021).



Stochasticity helps to navigate rough landscapes: comparing gradient-descent-based algorithms in the phase retrieval problem [PDF]

Francesca Mignacco, Pierfrancesco Urbani, Lenka Zdeborová

Machine Learning: Science and Technology (2021).


Dynamical mean-field theory for stochastic gradient descent in Gaussian mixture classification [PDF]

Francesca Mignacco, Florent Krzakala, Pierfrancesco Urbani, Lenka Zdeborová

Thirty-fourth Conference on Neural Information Processing Systems (NeurIPS 2020).


The role of regularization in classication of high-dimensional noisy Gaussian mixture [PDF]

Francesca Mignacco, Florent Krzakala, Yue M. Lu, Pierfrancesco Urbani, Lenka Zdeborová

Thirty-seventh International Conference on Machine Learning (ICML 2020).


Some talks

Youth in High Dimensions 2021

CLARIPHY Seminar 2021

Deep Math 2020