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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 social

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Quasi-Global Momentum: Accelerating Decentralized Deep Learning on Heterogeneous Data

Facilitators First: Building a Tool With Facilitators to Foster a More Collaborative Makerspace Community Through Movement Traces

The Metabolic Regimes at the Scale of an Entire Stream Network Unveiled Through Sensor Data and Machine Learning

Social Learning Under Inferential Attacks

Is planning still political? The politicization of high-speed rail in Spain (1986–2016)

The structural connectome and motor recovery after stroke: predicting natural recovery

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

Turning crowds into communities: The collectives of online citizen science

The physics of higher-order interactions in complex systems

Characterization and prediction of clinical pathways of vulnerability to psychosis through graph signal processing

Facilitators First: Building a Tool With Facilitators to Foster a More Collaborative Makerspace Community Through Movement Traces

Quasi-Global Momentum: Accelerating Decentralized Deep Learning on Heterogeneous Data

The structural connectome and motor recovery after stroke: predicting natural recovery

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

Social Learning Under Inferential Attacks

Turning crowds into communities: The collectives of online citizen science

The Metabolic Regimes at the Scale of an Entire Stream Network Unveiled Through Sensor Data and Machine Learning

The physics of higher-order interactions in complex systems

Characterization and prediction of clinical pathways of vulnerability to psychosis through graph signal processing

Is planning still political? The politicization of high-speed rail in Spain (1986–2016)