Mini-Workshop: High-Dimensional Control Problems and Mean-Field Equations with Applications in Machine Learning

High-dimensional control problems and mean field equations have been of increased interest in recent years and novel numerical tools tackling the curse of dimensionality have been developed. These optimization tasks are strongly related to learning problems such as data-driven optimal control and learning of deep neural networks. As a consequence, there is a huge potential to employ control theoretical techniques in Machine Learning. The Mini-Workshop was devoted to discuss possible synergies among the various tools developed in these fields.

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Publication Details

Journal
Oberwolfach Reports
Published
2025-05-19
DOI
https://doi.org/10.4171/owr/2024/56
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
0.00
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article

Mini-Workshop: High-Dimensional Control Problems and Mean-Field Equations with Applications in Machine Learning

Chiara Segala, Mathias Oster, Elisa Iacomini, Giacomo Borghi
Oberwolfach Reports
Model Reduction and Neural Networks
article

Mini-Workshop: High-Dimensional Control Problems and Mean-Field Equations with Applications in Machine Learning

Chiara Segala, Mathias Oster, Elisa Iacomini, Giacomo Borghi
article en

Abstract

High-dimensional control problems and mean field equations have been of increased interest in recent years and novel numerical tools tackling the curse of dimensionality have been developed. These optimization tasks are strongly related to learning problems such as data-driven optimal control and learning of deep neural networks. As a consequence, there is a huge potential to employ control theoretical techniques in Machine Learning. The Mini-Workshop was devoted to discuss possible synergies among the various tools developed in these fields.

Oberwolfach ReportsVol. 21(4)
University of Ferrara (IT), Heriot-Watt University (GB), Università della Svizzera italiana (CH), RWTH Aachen University (DE)
Openalex Percentile: Top 91%
Model Reduction and Neural Networks
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