Control for Deep and Federated Learning

CoDeFeL aims to enhance machine learning methods through control theory, developing efficient ResNet architectures and federated learning techniques for applications in digital medicine and recommendations.

Subsidie
€ 2.499.224
2024

Projectdetails

Introduction

Machine Learning (ML) is forging a new era in Applied Mathematics (AM), leading to innovative and powerful methods. But the need for theoretical guarantees generates challenging, fundamental, deep mathematical questions.

Addressing the Challenge

This great challenge can be addressed from the perspective of other, more mature areas of AM. CoDeFeL seeks to do so from the rich interface between Control Theory (CT) and ML, contributing to the analytical foundations of ML methods, significantly enlarging, and updating the range of applications of CT.

Recent Results

As our recent results show, classification, regression, and prediction problems in Supervised Learning (SL) and the Universal Approximation Theorem can be successfully recast as the simultaneous or ensemble controllability property of Residual Neural Networks (ResNets).

Development of ResNets

Following this path, we will develop ResNets of minimal complexity and cost, addressing the deep, intricate issue of linking the structure of the data set to be classified with the dynamics of the networks trained.

New Architectures

Taking the turnpike principle as our inspiration, we will build new simplified ResNet architectures. This, however, raises major challenges for the genuinely nonlinear dynamics that ResNets represent.

Adjoint Methods

Adjoint methods will also be developed and applied to understand the sensitivity of ResNets, proposing techniques for Adversarial Training and computing Saliency Maps, applicable in Unsupervised Learning.

Application Areas

The project is strongly inspired by the challenges arising in relevant applications in digital medicine and internet recommendation systems, among other areas.

Hybrid Methods

Accordingly, we will also develop a body of rich, hybrid, cutting-edge methods for data-aware modelling, combining ResNet surrogate models and those inspired by Mechanics, with the aid of Model Predictive Control strategies.

Federated Learning

New Federated Learning methodologies with privacy preservation guarantees will also be developed.

Repository

The computational counterparts will be brought together in a new CoDeFeL GitHub repository.

Financiële details & Tijdlijn

Financiële details

Subsidiebedrag€ 2.499.224
Totale projectbegroting€ 2.499.224

Tijdlijn

Startdatum1-9-2024
Einddatum31-8-2029
Subsidiejaar2024

Partners & Locaties

Projectpartners

  • FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERGpenvoerder
  • UNIVERSIDAD DE LA IGLESIA DE DEUSTO ENTIDAD RELIGIOSA

Land(en)

GermanySpain

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