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Efficiently creating a concise but comprehensive data set for training machine-learned interatomic potentials (MLIPs) is an under-explored problem. Active learning, which uses biased or unbiased molecular dynamics (MD) to generate candidate…

Machine learned interatomic potentials (MLIPs) have emerged as powerful tools for molecular dynamics (MD) simulations with their competitive accuracy and computational efficiency. However, MLIPs are often observed to exhibit un-physical…

Materials Science · Physics 2026-02-24 Qianyu Zheng , Victor Fung

We develop a solvable model of neural scaling laws beyond the kernel limit. Theoretical analysis of this model shows how performance scales with model size, training time, and the total amount of available data. We identify three scaling…

Machine Learning · Statistics 2025-04-07 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan

Accurate and scalable machine-learned inter-atomic potentials (MLIPs) are essential for molecular simulations ranging from drug discovery to new material design. Current state-of-the-art models enforce roto-translational symmetries through…

In wide neural networks, the Neural Tangent Kernel (NTK) remains approximately constant during training, providing a powerful theoretical tool for studying training dynamics, generalization, and connections to kernel methods. However, this…

Machine Learning · Computer Science 2026-05-26 Jonathan Plenk , Sergio Calvo-Ordonez , Alvaro Cartea , Yarin Gal , Mark van der Wilk , Kamil Ciosek

As a popular approach to modeling the dynamics of training overparametrized neural networks (NNs), the neural tangent kernels (NTK) are known to fall behind real-world NNs in generalization ability. This performance gap is in part due to…

Machine Learning · Computer Science 2020-10-30 Shuxiao Chen , Hangfeng He , Weijie J. Su

High annotation cost for training machine learning classifiers has driven extensive research in active learning and self-supervised learning. Recent research has shown that in the context of supervised learning different active learning…

Machine Learning · Computer Science 2023-06-08 Ziting Wen , Oscar Pizarro , Stefan Williams

Molecular dynamics (MD) employing machine-learned interatomic potentials (MLIPs) serve as an efficient, urgently needed complement to ab initio molecular dynamics (aiMD). By training these potentials on data generated from ab initio…

Materials Science · Physics 2024-09-19 Kisung Kang , Thomas A. R. Purcell , Christian Carbogno , Matthias Scheffler

We systematically investigate multi-token prediction (MTP) capabilities within LLMs pre-trained for next-token prediction (NTP). We first show that such models inherently possess MTP capabilities via numerical marginalization over…

Computation and Language · Computer Science 2025-02-14 Somesh Mehra , Javier Alonso Garcia , Lukas Mauch

Machine-learned interatomic potentials (MLIPs), particularly graph neural network (GNN)-based models, offer a promising route to achieving near-density functional theory (DFT) accuracy at significantly reduced computational cost. However,…

In suitably initialized wide networks, small learning rates transform deep neural networks (DNNs) into neural tangent kernel (NTK) machines, whose training dynamics is well-approximated by a linear weight expansion of the network at…

Machine Learning · Computer Science 2020-10-29 Stanislav Fort , Gintare Karolina Dziugaite , Mansheej Paul , Sepideh Kharaghani , Daniel M. Roy , Surya Ganguli

Machine learning interatomic potentials (MLIPs) have transformed materials discovery by leveraging graph neural networks (GNNs) to predict material properties with near density functional theory (DFT) accuracy. While large-scale pretrained…

Materials Science · Physics 2026-05-29 Rushikesh Pawar , Harshit Rawat , Ayush Kumar , Phani Motamarri

The promise of machine learning interatomic potentials (MLIPs) has led to an abundance of public quantum mechanical (QM) training datasets. The quality of an MLIP is directly limited by the accuracy of the energies and atomic forces in the…

The ability to accurately model interatomic interactions in large-scale systems is fundamental to understanding a wide range of physical and chemical phenomena, from drug-protein binding to the behavior of next-generation materials. While…

Materials Science · Physics 2025-05-26 Taskin Mehereen , Sourav Saha , Intesar Jawad Jaigirdar , Chanwook Park

When learning new tasks in a sequential manner, deep neural networks tend to forget tasks that they previously learned, a phenomenon called catastrophic forgetting. Class incremental learning methods aim to address this problem by keeping a…

Machine Learning · Computer Science 2022-06-20 Jinlin Xiang , Eli Shlizerman

One of the main motivations of MTL is to develop neural networks capable of inferring multiple tasks simultaneously. While countless methods have been proposed in the past decade investigating robust model architectures and efficient…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Dayou Mao , Yuhao Chen , Yifan Wu , Maximilian Gilles , Alexander Wong

It has become standard to solve NLP tasks by fine-tuning pre-trained language models (LMs), especially in low-data settings. There is minimal theoretical understanding of empirical success, e.g., why fine-tuning a model with $10^8$ or more…

Machine Learning · Computer Science 2023-06-07 Sadhika Malladi , Alexander Wettig , Dingli Yu , Danqi Chen , Sanjeev Arora

Scaling laws offer valuable insights into the relationship between neural network performance and computational cost, yet their underlying mechanisms remain poorly understood. In this work, we empirically analyze how neural networks behave…

Machine Learning · Computer Science 2025-07-08 Konstantin Nikolaou , Sven Krippendorf , Samuel Tovey , Christian Holm

Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near ab initio accuracy at significantly reduced computational cost, but their broader adoption is often limited by fragmented tooling, limited scalability,…

Machine learning interatomic potentials (MLIPs) are an emerging modeling technique that promises to provide electronic structure theory accuracy for a fraction of its cost, however, the transferability of MLIPs is a largely unknown factor.…

Chemical Physics · Physics 2024-02-27 Tristan Maxson , Tibor Szilvasi