Publications associées à Espace affine

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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

Espace affine

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

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Home, Spatial Familiarity And Routines In Mobility Behaviours

Convex Combination of Diffusion Strategies Over Networks

Affine Combination of Diffusion Strategies Over Networks

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

Streaming Principal Component Analysis From Incomplete Data

An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis

Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain

On the fundamental domain of affine Springer fibers

Home, Spatial Familiarity And Routines In Mobility Behaviours

Affine Combination of Diffusion Strategies Over Networks

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

Streaming Principal Component Analysis From Incomplete Data

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

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

Convex Combination of Diffusion Strategies Over Networks

On the fundamental domain of affine Springer fibers

An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis

Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain