I know with certainty almost nothing. Yet here I am executing legions of decisions each moment.

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This paper investigates the use of transformers to approximate the mean-field dynamics of interacting particle systems exhibiting collective behavior. Such systems are fundamental in modeling phenomen...

The optimal matching of point clouds in $\mathbb{R}^d$ is a combinatorial problem; applications in statistics motivate to consider random point clouds, like the Poisson point process. There is a cruci...

The calculus of variations, a venerable subject connected for centuries with physics, was largely superseded in the 1960s by the theory of optimal control that arose then from modern engineering. Math...

ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV) publishes rapidly and efficiently papers and surveys in the areas of control, optimisation and calculus of variations