Publications associées à Topologie

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Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

r_1^*, \ldots, r_{L-1}^*

reaches a zero-loss minimum at $ r_1^*! \c ...

2021

Topologie

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Topological Linear System Identification via Moderate Deviations Theory

Global Frobenius liftability I

Discretisation and continuity: The emergence of symbols in communication

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

On Topological Equivalence in Linear Quadratic Optimal Control

Crossover between distinct symmetries in solid solutions of rare earth nickelates

Sequential metric dimension for random graphs

Data-Driven Convergence Prediction of Astrobots Swarms

Turbulence in the scrape-off layer of double-null tokamak configurations

Molecular Origin of the Asymmetric Photoluminescence Spectra of CsPbBr3 at Low Temperature

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Topological Linear System Identification via Moderate Deviations Theory

Sequential metric dimension for random graphs

Global Frobenius liftability I

Discretisation and continuity: The emergence of symbols in communication

On Topological Equivalence in Linear Quadratic Optimal Control

Crossover between distinct symmetries in solid solutions of rare earth nickelates

Turbulence in the scrape-off layer of double-null tokamak configurations

Molecular Origin of the Asymmetric Photoluminescence Spectra of CsPbBr3 at Low Temperature

Data-Driven Convergence Prediction of Astrobots Swarms