Evidence map›Paper›PMID 39877429›Full record

ArticleNature machine intelligence2025

The design space of E(3)-equivariant atom-centred interatomic potentials.

Ilyes Batatia, Simon Batzner, Dávid Péter Kovács, Albert Musaelian, Gregor N C Simm, Ralf Drautz, Christoph Ortner, Boris Kozinsky, Gábor Csányi

Abstract read
In one paragraph

Article in Nature machine intelligence, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 111 papers.

0numbers the graph read from it
0cells of the map it votes in
111citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

111 citing papers in PubMed.

  1. Article
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  3. CoTAR: Topology and Atomic State Reconstruction in Condensed Phases.Journal of chemical information and modeling · 2026
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51 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

9 authors.

Ilyes Batatia *Engineering Laboratory, University of Cambridge, Cambridge, UK.
Simon Batzner *John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA USA.ORCID 0000-0002-8826-2712
Dávid Péter KovácsEngineering Laboratory, University of Cambridge, Cambridge, UK.
Albert MusaelianJohn A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA USA.
Gregor N C SimmEngineering Laboratory, University of Cambridge, Cambridge, UK.
Ralf DrautzICAMS, Ruhr-Universität Bochum, Bochum, Germany.
Christoph OrtnerDepartment of Mathematics, University of British Columbia, Vancouver, British Columbia Canada.
Boris KozinskyJohn A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA USA.ORCID 0000-0002-0638-539X
Gábor CsányiEngineering Laboratory, University of Cambridge, Cambridge, UK.ORCID 0000-0002-8180-2034

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Molecular dynamics simulation is an important tool in computational materials science and chemistry, and in the past decade it has been revolutionized by machine learning. This rapid progress in machine learning interatomic potentials has produced a number of new architectures in just the past few years. Particularly notable among these are the atomic cluster expansion, which unified many of the earlier ideas around atom-density-based descriptors, and Neural Equivariant Interatomic Potentials (NequIP), a message-passing neural network with equivariant features that exhibited state-of-the-art accuracy at the time. Here we construct a mathematical framework that unifies these models: atomic cluster expansion is extended and recast as one layer of a multi-layer architecture, while the linearized version of NequIP is understood as a particular sparsification of a much larger polynomial model. Our framework also provides a practical tool for systematically probing different choices in this unified design space. An ablation study of NequIP, via a set of experiments looking at in- and out-of-domain accuracy and smooth extrapolation very far from the training data, sheds some light on which design choices are critical to achieving high accuracy. A much-simplified version of NequIP, which we call BOTnet (for body-ordered tensor network), has an interpretable architecture and maintains its accuracy on benchmark datasets.

Indexed as

Atomistic modelsComputational chemistryComputational methodsMolecular dynamics

Identifiers

PMID39877429
PMCPMC11769842

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.