5 citations · 5 across the 4 of their papers we have counts for
8 papers
Attention's forward pass and Frank-Wolfe
Albert Alcalde, Borjan Geshkovski, Domènec Ruiz-Balet
We study the hardmax limit of self-attention dynamics for token embeddings obtained in the zero-temperature () regime, and relate it to the finite- setting. In this…
Constructive approximate transport maps with normalizing flows
Antonio Álvarez-López, Borjan Geshkovski, Domènec Ruiz-Balet
We study an approximate controllability problem for the continuity equation and its application to constructing transport maps with normalizing flows. Specifically, we construct ti…
Spatial ecology, optimal control and game theoretical fishing problems
Idriss Mazari, Domènec Ruiz-Balet
Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised…
Interpolation and approximation via Momentum ResNets and Neural ODEs
Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua
In this article, we explore the effects of memory terms in continuous-layer Deep Residual Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one side,…
Neural ODE control for classification, approximation and transport
Domènec Ruiz-Balet, Enrique Zuazua
We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address some of the main properties and paradigms of Deep Learning (DL), in part…
Quantitative stability for eigenvalues of Schrödinger operator, Quantitative bathtub principle \& Application to the turnpike property for a bilinear optimal control problem
Idriss Mazari, Domenec Ruiz-Balet
This work is concerned with two optimisation problems that we tackle from a qualitative perspective. The first one deals with quantitative inequalities for spectral optimisation pr…