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math.AP2024
Control of a Lotka-Volterra System with Weak Competition
Maicon Sonego, Enrique Zuazua
The Lotka-Volterra model reflects real ecological interactions where species compete for limited resources, potentially leading to coexistence, dominance of one species, or extinct…
math.OC2024
Pattern control via Diffussion interaction
Domènec Ruiz-Balet, Enrique Zuazua
We analyse a dynamic control problem for scalar reaction-diffusion equations, focusing on the emulation of pattern formation through the selection of appropriate active controls. W…
cs.CL2024★ 1 cited
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…