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MatRIS: Toward Reliable and Efficient Pretrained Machine Learning Interatomic Potentials

About

Foundation MLIPs demonstrate broad applicability across diverse material systems and have emerged as a powerful and transformative paradigm in chemical and computational materials science. Equivariant MLIPs achieve state-of-the-art accuracy in a wide range of benchmarks by incorporating equivariant inductive bias. However, the reliance on tensor products and high-degree representations makes them computationally costly. This raises a fundamental question: as quantum mechanical-based datasets continue to expand, can we develop a more compact model to thoroughly exploit high-dimensional atomic interactions? In this work, we present MatRIS (\textbf{Mat}erials \textbf{R}epresentation and \textbf{I}nteraction \textbf{S}imulation), an invariant MLIP that introduces attention-based modeling of three-body interactions. MatRIS leverages a novel separable attention mechanism with linear complexity $O(N)$, enabling both scalability and expressiveness. MatRIS delivers accuracy comparable to that of leading equivariant models on a wide range of popular benchmarks (Matbench-Discovery, MatPES, MDR phonon, Molecular dataset, etc). Taking Matbench-Discovery as an example, MatRIS achieves an F1 score of up to 0.847 and attains comparable accuracy at a lower training cost. The work indicates that our carefully designed invariant models can match or exceed the accuracy of equivariant models at a fraction of the cost, shedding light on the development of accurate and efficient MLIPs.

Yuanchang Zhou, Siyu Hu, Xiangyu Zhang, Hongyu Wang, Guangming Tan, Weile Jia• 2026

Related benchmarks

TaskDatasetResultRank
Energy and force predictionZeolite (test)
Energy MAE (meV)3
64
Stability predictionMatbench-Discovery unique structure prototypes
F1 Score84.7
26
Energy and force predictionAlloy DPA2 (test)
Energy RMSE (meV/atom)1.2
12
Material DiscoveryMatbench-Discovery non-compliant full (test)
F1 Score90.3
10
Material DiscoveryMatbench-Discovery 10k most stable
F1 Score98.6
10
Energy and force predictionCathode-P DPA2 (test)
Energy RMSE (meV/atom)0.3
6
Energy and force predictionCluster-P DPA2 (test)
Energy RMSE (meV/atom)12.8
6
Energy and force predictionFerroEle-P DPA2 (test)
Energy RMSE (meV/atom)0.2
6
Energy and force predictionSemiCond DPA2 (test)
Energy RMSE (meV/atom)2.7
6
Energy and force predictionCu DPA2 (test)
Energy RMSE (meV/atom)0.5
6
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