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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

Risk Perception and Epidemics in Complex Computer Networks

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Switchover phenomenon induced by epidemic seeding on geometric networks

The kinectome: A comprehensive kinematic map of human motion in health and disease

Supplementary datasets for "ARBRE: Computational resource to predict pathways towards industrially important aromatic compounds"

Epidemic mitigation by statistical inference from contact tracing data

An automatized signal timing detection at signalized intersections with detailed vehicle trajectory data

Optimizing the mitigation of epidemic spreading through targeted adoption of contact tracing apps