Publications associées à Numerical cognition

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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

Numerical cognition

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An adaptive phase field approach to 3D internal crack growth in rocks

Perturbed Utility Stochastic Traffic Assignment

Robust mass lumping and outlier removal strategies in isogeometric analysis

Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography

Improving SAM Requires Rethinking its Optimization Formulation

On the use of Cramér-Rao Lower Bound for least-variance circuit parameters identification of Li-ion cells

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Ultra-broadband terahertz radiation by supercontinuum generation and optical rectification in a dispersion-engineered waveguide: a numerical study

Low-Rank Tensor Methods for High-Dimensional Problems

Saddle-to-Saddle Dynamics in Diagonal Linear Networks

An adaptive phase field approach to 3D internal crack growth in rocks

Perturbed Utility Stochastic Traffic Assignment

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography

On the use of Cramér-Rao Lower Bound for least-variance circuit parameters identification of Li-ion cells

Robust mass lumping and outlier removal strategies in isogeometric analysis

Saddle-to-Saddle Dynamics in Diagonal Linear Networks

Ultra-broadband terahertz radiation by supercontinuum generation and optical rectification in a dispersion-engineered waveguide: a numerical study

Improving SAM Requires Rethinking its Optimization Formulation

Low-Rank Tensor Methods for High-Dimensional Problems