Barbier Lab

Unesco

Ile-de-France (FR1) · France

ERC-funded
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ERC Starting Grant · 2021

Computational Hardness Of RepresentAtion Learning

Rich internal representations of complex data are crucial to the predictive power of neural networks. Unfortunately, current statistical analyses are restricted to over-simplified networks, whose representations (i.e., weight matrices) are either random, and/or project the data in comparatively very large or very low dimensional spaces; in many applications the situation is very different. The modelisation of realistic data is another issue. There is an urgent need to reconcile theory and practice. Based on a synergy of the mathematical physics of spin glasses, matrix-models from physics, and information and random matrix theory, CHORAL’s statistical framework will delimit computational…

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