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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

Network Monitoring: it depends on your points of view

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Chattez avec Graph Search

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

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

Local Tomography of Large Networks Under the Low-Observability Regime

Highlighting action and environmental component interactions using a network theory approach

Traffic Receipts for Network Transparency

Alignment and Assembly

Analysing the Role of Social Visits on Migrants’ Social Capital: A Personal Network Approach

Busy Man’s Synthesis: Combinational Delay Optimization With SAT

EMPoWER Hybrid Networks: Exploiting Multiple Paths over Wireless and ElectRical Mediums

Epidemics in Venice: On the Small or Large Nature of the Pre-modern World

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

Local Tomography of Large Networks Under the Low-Observability Regime

Alignment and Assembly

Analysing the Role of Social Visits on Migrants’ Social Capital: A Personal Network Approach

Epidemics in Venice: On the Small or Large Nature of the Pre-modern World

Traffic Receipts for Network Transparency

Highlighting action and environmental component interactions using a network theory approach

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

Busy Man’s Synthesis: Combinational Delay Optimization With SAT

EMPoWER Hybrid Networks: Exploiting Multiple Paths over Wireless and ElectRical Mediums