Continuano mercoledì 17 maggio alle 14. 30 gli appuntamenti con i Seminari del ciclo AIM. E' la volta di Philipp Sholl, ricercatore associato al LMU · Mathematisches Institut della Ludwig-Maximilians-University of Munich.
Il titolo del talk è: Well-definedness of Physical Law Learning: The Uniqueness Problem Neural Networks in Drug Design: From discovering new molecules to predicting side-effects.
Di seguito l'abstract.
"This Physical law learning is the ambiguous attempt at automating the derivation of governing equations with the use of machine learning techniques. In this talk we start with building a comprehensive theoretical framework for learning physical laws, aiming to provide reliability to according algorithms. One key problem consists in the fact that the governing equations might not be uniquely determined by the given data. We will study this problem in the common situation that a physical law is described by an ordinary or partial differential equation. For various different classes of differential equations, we provide both necessary and sufficient conditions for a function from a given function class to uniquely determine the differential equation which is governing the phenomenon. We then use our results to determine in extensive numerical experiments whether a function solves a differential equation uniquely”.
Il seminario sarà trasmesso in streaming sul canale YouTube CNR IAC.
Qui il programma completo dei seminari.