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Reinventing the Theory of Machine Learning on Graphs

Project description

Breaking the glass ceiling of graph machine learning

Graphs are essential for representing structured data in fields ranging from biology to social networks to power grids. Despite their promise, graph machine learning (GML) faces a critical challenge: the lack of a foundational theory. Current graph neural networks (GNNs) rely on message-passing algorithms, which have significant theoretical and practical limitations. Moreover, they fail to account for the diverse characteristics of graphs from different domains, leading to unreliable results. In this context, the ERC-funded MALAGA project will develop a groundbreaking theory for GML. By addressing limitations in existing methods, MALAGA seeks to enhance the performance, reliability and adaptability of GNNs, with a focus on biological networks, social networks and online recommender systems.

Objective

In many scientic domains, graphs are the objects of choice to represent structured data: from molecules to social networks, power grids, the internet, and so on. The exploitation of graph data represents a major scientic and industrial challenge. Graph Machine Learning
(GML) is thus a fast-growing eld, with so-called Graph Neural Networks (GNN) at the forefront. However, in sharp contrast with traditional ML, the eld of GML has somewhat jumped from early methods to deep learning, without the decades-long development of well- established notions to compare, analyze and improve algorithms. As a result, 1) GNNs, all based on the so-called message-passing paradigm, have signicant limitations both practical and theoretical, and it is not clear how to address them, and 2) GNNs do not take into account the specicities of graphs coming from domains as dierent as biology or the social sciences. Thus, practical results may vary wildly from one case to the other, with no guidelines on how to design reliable GNNs in each case. Overall, these are the symptoms of an overlooked major issue: GML is hitting a glass ceiling due to its severe lack of a grand, foundational theory.
The ambition of project MALAGA is to develop such a theory. Solving the crucial limitations of the current theory is highly challenging: current mathematical tools cannot analyze the learning capabilities of GML methods in a unied way, existing statistical graph models do
not faithfully represent the many characteristics of modern graph data, computational complexity becomes problematic on large graphs. MALAGA will develop a radically new understanding of GML problems, and of the strengths and limitations of a large panel of algorithms. Our goal is to signicantly boost the performance, reliability and adaptivity of GNNs, with a signicant impact on three types of graph data that exhibit very dierent but representative behaviors: biological networks, social networks, and online recommender systems.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

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Host institution

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Net EU contribution
€ 1 479 643,00
Address
RUE MICHEL ANGE 3
75794 Paris
France

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Region
Ile-de-France Ile-de-France Hauts-de-Seine
Activity type
Research Organisations
Links
Total cost
€ 1 479 643,00

Beneficiaries (1)