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MultiSTOP: Solving Functional Equations with Reinforcement Learning

23 April 2024
Alessandro Trenta
Davide Bacciu
Andrea Cossu
Pietro Ferrero
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Abstract

We develop MultiSTOP, a Reinforcement Learning framework for solving functional equations in physics. This new methodology produces actual numerical solutions instead of bounds on them. We extend the original BootSTOP algorithm by adding multiple constraints derived from domain-specific knowledge, even in integral form, to improve the accuracy of the solution. We investigate a particular equation in a one-dimensional Conformal Field Theory.

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