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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

Routing and search on large scale networks

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A Tutorial-Cum-Survey on Percolation Theory With Applications in Large-Scale Wireless Networks

Estimating the Topology of Preferential Attachment Graphs Under Partial Observability

Information Retrieval Under Network Uncertainty: Robust Internet Ranking

The Role of Adaptivity in Source Identification with Time Queries

Two-layer adaptive signal control framework for large-scale networks combining efficient Max-Pressure and Perimeter Control

Increasing Cellular Network Energy Efficiency for Railway Corridors

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

Propagation-Loss Characterization for Livestock Implantables at (433,868,1400) MHz

Network coded multipath and related techniques

Scalable and Efficient Comparison-based Search without Features

Estimating the Topology of Preferential Attachment Graphs Under Partial Observability

Information Retrieval Under Network Uncertainty: Robust Internet Ranking

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

A Tutorial-Cum-Survey on Percolation Theory With Applications in Large-Scale Wireless Networks

Propagation-Loss Characterization for Livestock Implantables at (433,868,1400) MHz

Two-layer adaptive signal control framework for large-scale networks combining efficient Max-Pressure and Perimeter Control

Network coded multipath and related techniques

Scalable and Efficient Comparison-based Search without Features

The Role of Adaptivity in Source Identification with Time Queries

Increasing Cellular Network Energy Efficiency for Railway Corridors