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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

Réseau sans fil

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BLURtooth: Exploiting Cross-Transport Key Derivation in Bluetooth Classic and Bluetooth Low Energy

Monitoring changes in temporary stream networks during rainfall events

Physics-informed neural networks for diffraction tomography

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

Federated Learning Over Wireless Networks: Convergence Analysis and Resource Allocation

Resource Trade-Offs in Circuits and Systems: from Neurotechnology to Communications

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

Figures-of-Merit of Lateral GaN Power Devices: modeling and comparison of HEMTs and PSJs

Time-Varying Components for Enhancing Wireless Transfer of Power and Information

Assessment of the Electromagnetic Field Exposure due to 5G Base Stations using a Monte-Carlo Method: Initial Results

Monitoring changes in temporary stream networks during rainfall events

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

BLURtooth: Exploiting Cross-Transport Key Derivation in Bluetooth Classic and Bluetooth Low Energy

Physics-informed neural networks for diffraction tomography

Federated Learning Over Wireless Networks: Convergence Analysis and Resource Allocation

Resource Trade-Offs in Circuits and Systems: from Neurotechnology to Communications

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

Figures-of-Merit of Lateral GaN Power Devices: modeling and comparison of HEMTs and PSJs

Time-Varying Components for Enhancing Wireless Transfer of Power and Information

Assessment of the Electromagnetic Field Exposure due to 5G Base Stations using a Monte-Carlo Method: Initial Results