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CORDIS

Advanced Numerics for Uncertainty and Bayesian Inference in Science

Project description

Why AI needs to learn the language of physics

Modern scientific discovery operates in two fractured worlds: the vast, empirical realm of big data and machine learning, and the precise, mechanistic realm of physics simulations. These two approaches clash, leading to inefficient analyses and a failure to fully track uncertainty when combining theory with observation. This ERC-funded project aims to bridge this divide. It introduces Probabilistic Numerical Methods as a unifying language, reframing all computation as a form of inference. This holistic framework will allow researchers to robustly blend experimental data with established physical laws. By developing a semantic language for all types of knowledge, the project promises to create a toolbox for quantitative science, ushering in a new era of robust discovery.

Objective

"Scientific knowledge enters computers through data on the one side, and laws of nature – implicit equations like differential equations and symmetries – on the other. They both provide information, empirical and mechanistic, respectively, crucial to the deduction of new insights. But the algorithms that operate on these sources of information stem from different communities and different eras: machine learning – ""big data"" – on the one hand, and simulation methods – high performance computing – on the other. One of the problems that arise from this disconnect is that inferring latent forces that drive dynamical systems from data requires ""shoehorning"" different algorithms together in inefficient optimization loops; another one is that uncertainty from discretization and emulation is not fully tracked.
Probabilistic numerical methods have emerged over the last decade as a holistic view on computation as inference. They provide a unifying language that can leverage empirical and mechanistic information. This proposal outlines a research program to complement and scale probabilistic numerical methods to enrich the quantitative scientist's toolbox along three axes: First, unifying uncertainty from empirical and computational knowledge in one common formalism, which allows the direct and robust combination of simulation and experimentation. Second, developing a rich and practical semantic language for the description of different types of knowledge – mechanistic, empirical, practical. Third, significant computational efficiency gains achieved by managing the computational process globally, instead of as a series of black boxes. Real scientific tasks will provide benchmarks and ensure practical relevance. An open-source software toolbox, complemented by regular summer schools, will ensure that the results reach their audience. As a result, ANUBIS will start a genuinely novel kind of quantitative scientific analysis at the intersection of simulation and machine learning."

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

(opens in new window) ERC-2023-COG

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Host institution

EBERHARD KARLS UNIVERSITAET TUEBINGEN
Net EU contribution
€ 1 997 250,00
Address
GESCHWISTER-SCHOLL-PLATZ
72074 Tuebingen
Germany
Region
Baden-Württemberg Tübingen Tübingen, Landkreis
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 1 997 250,00

Beneficiaries (1)