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Machine-learned Atomic Descriptors combined with TENSOR Networks unlocks predictive computational design of alloys

Project description

Tensor network-based machine-learning atomic descriptors for alloys

Metal alloys underpin many modern technologies, and immense efforts are made to develop a better understanding to drive innovation. Experiments can only provide limited information at the necessary scales, requiring atomistic simulations to gain insights into the key nanoscale mechanisms. Machine-learning potentials (MLIPs) have been a breakthrough for providing the quantitative accuracy of quantum mechanics to atomistic simulations. Still, there is no universal MLIP that can be quantitative across the entire composition space due to limited accuracy and computational efficiency. The ERC-funded MAD-TENSOR project will develop a new architecture for potentials using tensor networks, overcoming key challenges faced by current MLIPs.

Objective

"Metallic alloys form the backbone of modern infrastructure and technology in our society. Hence, alloys must be understood, not only by their macroscopic behavior, but rather through consideration of the interactions between many length scales, from angstroms to meters. In general, understanding cannot be developed by experiments alone, beyond observations of snapshots, but must be combined with atomistic simulations that can provide a deeper understanding of the nanoscale mechanisms that govern the dynamics observed in experiments.

Machine-learning potentials (MLIPs) have been a breakthrough for providing the quantitative accuracy of quantum mechanics to atomistic simulations, required to predict the correct mechanisms. However, developing a universal MLIP that is quantitative over the whole composition space has thus far not been achieved. Current available approaches lack either computational efficiency or accuracy. Another breakthrough is required.

To address these challenges, I propose to develop a novel architecture for potentials, equivariant tensor networks (ETNs), based on low-rank representations of high-dimensional tensors to reduce the number of parameters in approximating multidimensional functions. The two distinguishing features of ETNs that are key for developing predictive universal potentials are
(i) high-dimensional convolutions represented using low-rank tensor networks,
(ii) their factorization into small, equally-sized, but highly repetitive, operations which are lucrative for massive parallelization on modern HPC architectures, such as GPUs.
Moreover, ETNs will allow to solve two additional urgent problems:
(a) efficiently adding magnetic degrees freedom to the MLIP's functional form to compute magnetic properties with atomistic simulations,
(b) the creation of an ""averaged"" ETN potential that allows to compute material properties of random alloys without requiring sampling over thousands of simulations of the true random alloy."

Fields of science (EuroSciVoc)

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2025-STG

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Host institution

MATERIALS CENTER LEOBEN FORSCHUNG GMBH
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 498 705,00
Address
VORDERNBERGER STRASSE 12
8700 LEOBEN
Austria

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SME

The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed.

Yes
Region
Südösterreich Steiermark Östliche Obersteiermark
Activity type
Research Organisations
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 498 705,00

Beneficiaries (1)

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