Publications associées à Introduction to optimization on smooth manifolds: first order methods

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Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Nicolas Henri Bernard Flammarion, Hristo Georgiev Papazov, Scott William Pesme

In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size

\gamma

and momentum parameter

\beta

that allows u ...

2024

Introduction to optimization on smooth manifolds: first order methods

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Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Mesh-based topology, shape and sizing optimization of ribbed plates

On the boundedness of n-folds with κ(X) = n - 1

Testing Theories of the Glass Transition with the Same Liquid but Many Kinetic Rules

Efficient and insightful descriptors for representing molecular and material space

Biobased surfactant

A graph convolutional autoencoder approach to model order reduction for parametrized PDEs

BENIGN LANDSCAPES OF LOW-DIMENSIONAL RELAXATIONS FOR ORTHOGONAL SYNCHRONIZATION ON GENERAL GRAPHS

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

Experimental observation of topological transition in linear and nonlinear parametric oscillators

Testing Theories of the Glass Transition with the Same Liquid but Many Kinetic Rules

Mesh-based topology, shape and sizing optimization of ribbed plates

Efficient and insightful descriptors for representing molecular and material space

BENIGN LANDSCAPES OF LOW-DIMENSIONAL RELAXATIONS FOR ORTHOGONAL SYNCHRONIZATION ON GENERAL GRAPHS

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

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

A graph convolutional autoencoder approach to model order reduction for parametrized PDEs

On the boundedness of n-folds with κ(X) = n - 1

Biobased surfactant

Experimental observation of topological transition in linear and nonlinear parametric oscillators