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Deep Learning Theory Through the Lens of Diagonal Linear Networks

Scott William Pesme

In this PhD manuscript, we explore optimisation phenomena which occur in complex neural networks through the lens of

2

-layer diagonal linear networks. This rudimentary architecture, which consists of a two layer feedforward linear network with a diagonal ...

EPFL2024

Algèbre linéaire

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Oxidation processes and me

CFD-based analysis of pumped storage power plants implementing hydraulic short circuit operations

Mapping orthorhombic domains with geometrical phase analysis in rare-earth nickelate heterostructures

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Deep Learning Theory Through the Lens of Diagonal Linear Networks

Decomposition method to evaluate district heating/cooling network potential at urban scale

Ion Adsorption Enhances Apparent Nonelectrostatic Attraction between Monomers in Polyelectrolyte Brushes

Minkowski Distance Based Pilot Protection for Tie Lines Between Offshore Wind Farms and MMC

Isogeny Problems with Level Structure

Transition to chaos in extended systems and their quantum impurity models

CFD-based analysis of pumped storage power plants implementing hydraulic short circuit operations

Oxidation processes and me

Mapping orthorhombic domains with geometrical phase analysis in rare-earth nickelate heterostructures

Deep Learning Theory Through the Lens of Diagonal Linear Networks

Transition to chaos in extended systems and their quantum impurity models

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Isogeny Problems with Level Structure

Ion Adsorption Enhances Apparent Nonelectrostatic Attraction between Monomers in Polyelectrolyte Brushes

Minkowski Distance Based Pilot Protection for Tie Lines Between Offshore Wind Farms and MMC

Decomposition method to evaluate district heating/cooling network potential at urban scale