1 citations · 1 across the 1 of their papers we have counts for
8 papers
Turnpike in optimal control and beyond: a survey
Emmanuel Trélat, Enrique Zuazua
The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide class of long-horizon optimal control problems, the optimal trajectory spends mos…
Exact Sequence Interpolation with Transformers
Albert Alcalde, Giovanni Fantuzzi, Enrique Zuazua
We prove that transformers can exactly interpolate datasets of finite input sequences in , , with corresponding output sequences of smaller or equal length.…
Clustering in pure-attention hardmax transformers and its role in sentiment analysis
Albert Alcalde, Giovanni Fantuzzi, Enrique Zuazua
Transformers are extremely successful machine learning models whose mathematical properties remain poorly understood. Here, we rigorously characterize the behavior of transformers…
Sensor placement via large deviations in the Eikonal equation
Ilias Ftouhi, Enrique Zuazua
In this work, we address the problem of optimally placing a finite number of sensors within a given region so as to minimize the mean or maximal distance to the points of the domai…
Mean-Square Stability of Continuous-Time Stochastic Model Predictive Control
Qi Lü, Bowen Ma, Enrique Zuazua
We propose a stochastic model predictive control (SMPC) framework for a broad class of unconstrained controlled stochastic differential equations (SDEs) and establish its mean-squa…
Boundary and Interior Control in a Diffusive Lotka-Volterra Model
João Carlos Barreira, Maicon Sonego, Enrique Zuazua
We investigate the controllability of a generalized diffusive Lotka-Volterra competition model for two species, incorporating boundary controls and an interior multiplicative contr…