Concept
Numeracy
Related publications (180)
Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography
In computational hydraulics models, predicting bed topography and bedload transport with sufficient accuracy remains a significant challenge. An accurate assessment of a river's sediment transport rate necessitates a prior understanding of its bed topograp ...
EPFL2024Perturbed Utility Stochastic Traffic Assignment
This paper develops a fast algorithm for computing the equilibrium assignment with the perturbed utility route choice (PURC) model. Without compromise, this allows the significant advantages of the PURC model to be used in large-scale applications. We form ...
Informs2024Robust mass lumping and outlier removal strategies in isogeometric analysis
Annalisa Buffa, Espen Sande, Yannis Dirk Voet
Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consistent mass matrix and increase the critical time step. In isogeometric analysi ...
2024Low-Rank Tensor Methods for High-Dimensional Problems
In this thesis, we propose and analyze novel numerical algorithms for solving three different high-dimensional problems involving tensors. The commonality of these problems is that the tensors can potentially be well approximated in low-rank formats. Ident ...
EPFL2023Saddle-to-Saddle Dynamics in Diagonal Linear Networks
Nicolas Henri Bernard Flammarion, Scott William Pesme
In this paper we fully describe the trajectory of gradient flow over diagonal linear networks in the limit of vanishing initialisation. We show that the limiting flow successively jumps from a saddle of the training loss to another until reaching the minim ...
2023New Perspectives on Regularization and Computation in Optimal Transport-Based Distributionally Robust Optimization
Daniel Kuhn, Florian Dörfler, Soroosh Shafieezadeh Abadeh
We study optimal transport-based distributionally robust optimization problems where a fictitious adversary, often envisioned as nature, can choose the distribution of the uncertain problem parameters by reshaping a prescribed reference distribution at a f ...
2023On the relationship between the multi-region relaxed variational principle and resistive inner-layer theory
Joaquim Loizu Cisquella, Ankit Kumar
We show that the variational energy principle of the multi-region relaxed magnetohydrodynamic (MRxMHD) model can be used to predict finite-pressure linear tearing instabilities. In this model, the plasma volume is sliced into sub-volumes separated by 'idea ...
2023