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Accurately predicting nonlinear transient thermal fields in two-dimensional domains is a significant challenge in various engineering fields, where conventional analytical and numerical methods struggle to balance physical fidelity with…

Computational Physics · Physics 2025-04-07 Ze Tao , Fujun Liu , Jinhua Li , Guibo Chen

Symbolic regression (SR) seeks closed-form mathematical expressions that fit observed data. Neural SR methods amortize the search by training an encoder to map observations directly to expressions in a single pass, but this amortized…

Machine Learning · Computer Science 2026-05-27 Xieting Chu , Sriram Vishwanath , Vijay Ganesh

Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models…

Materials Science · Physics 2025-11-12 Evgeniya Kabliman , Gabriel Kronberger

We introduce a new family of toy problems that combine features of linear-regression-style continuous in-context learning (ICL) with discrete associative recall. We pretrain transformer models on sample traces from this toy, specifically…

Machine Learning · Computer Science 2025-07-03 Sultan Daniels , Dylan Davis , Dhruv Gautam , Wentinn Liao , Gireeja Ranade , Anant Sahai

Masked diffusion models have demonstrated competitive results on various tasks including language generation. However, due to its iterative refinement process, the inference is often bottlenecked by slow and static sampling speed. To…

Machine Learning · Computer Science 2026-03-09 Seo Hyun Kim , Sunwoo Hong , Hojung Jung , Youngrok Park , Se-Young Yun

Symbolic regression is essential for deriving interpretable expressions that elucidate complex phenomena by exposing the underlying mathematical and physical relationships in data. In this paper, we present an advanced symbolic regression…

Machine Learning · Computer Science 2025-03-13 Sikai Huang , Yixin Berry Wen , Tara Adusumilli , Kusum Choudhary , Haizhao Yang

Large language models (LLMs) offer new opportunities for automated data extraction and property prediction across materials science, yet their use in superconductivity research remains limited. Here we construct a large experimental…

Materials Science · Physics 2025-12-12 Suman Itani , Yibo Zhang , Ranjit Itani , Jiadong Zang

It is difficult to anticipate the myriad challenges that a predictive model will encounter once deployed. Common practice entails a reactive, cyclical approach: model deployment, data mining, and retraining. We instead develop a proactive…

mDCThermalC is a program written in Python for computing lattice thermal conductivity of crystalline bulk materials using the modified Debye-Callaway model. Building upon the traditional Debye-Callaway theory, the modified model obtains the…

Materials Science · Physics 2024-05-07 Tao Fan , Artem R. Oganov

In discrete choice modeling (DCM), model misspecifications may lead to limited predictability and biased parameter estimates. In this paper, we propose a new approach for estimating choice models in which we divide the systematic part of…

Machine Learning · Statistics 2020-09-23 Brian Sifringer , Virginie Lurkin , Alexandre Alahi

We estimate a statistical model to predict the superconducting critical temperature based on the features extracted from the superconductor's chemical formula. The statistical model gives reasonable out-of-sample predictions: $\pm 9.5$ K…

Applications · Statistics 2018-10-16 Kam Hamidieh

Machine Learning (ML) has offered innovative perspectives for accelerating the discovery of new functional materials, leveraging the increasing availability of material databases. Despite the promising advances, data-driven methods face…

We introduce a data-driven framework to automatically identify interpretable and physically meaningful hyperelastic constitutive models from sparse data. Leveraging symbolic regression, an algorithm based on genetic programming, our…

Symbolic Computation · Computer Science 2025-01-14 Jixin Hou , Xianyan Chen , Taotao Wu , Ellen Kuhl , Xianqiao Wang

Inferring latent interaction structures from observed dynamics is a fundamental inverse problem in many-body interacting systems. Most neural approaches rely on black-box surrogates over trainable graphs, achieving accuracy at the expense…

Machine Learning · Computer Science 2026-04-15 Xiaoxiao Liang , Juyuan Zhang , Liming Pan , Linyuan Lü

In recent years there has been great progress in the use of machine learning algorithms to develop interatomic potential models. Machine-learned potential models are typically orders of magnitude faster than density functional theory but…

Materials Science · Physics 2023-03-28 Alberto Hernandez , Tim Mueller

The success of the Materials Genome Initiative has led to opportunities for data-driven approaches for materials discovery. The recent development of Polymer Genome (PG), which is a machine learning (ML) based data-driven informatics…

Computational Physics · Physics 2019-08-08 Manav Ramprasad , Chiho Kim

Material scientists are increasingly adopting the use of machine learning (ML) for making potentially important decisions, such as, discovery, development, optimization, synthesis and characterization of materials. However, despite ML's…

Computational Physics · Physics 2019-03-12 Bhavya Kailkhura , Brian Gallagher , Sookyung Kim , Anna Hiszpanski , T. Yong-Jin Han

The accurate modeling of the mechanical behavior of rubber-like materials under multi-axial loading constitutes a long-standing challenge in hyperelastic material modeling. This work employs deep symbolic regression as an interpretable…

Computational Engineering, Finance, and Science · Computer Science 2025-04-09 Rasul Abdusalamov , Mikhail Itskov

The increasing focus on predicting renewable energy production aligns with advancements in deep learning (DL). The inherent variability of renewable sources and the complexity of prediction methods require robust approaches, such as DL…

Machine Learning · Computer Science 2025-12-05 Haibo Wang , Jun Huang , Lutfu Sua , Bahram Alidaee

The complex Langevin method (CLM) offers a potential solution to the sign problem in quantum field theories with complex actions, but can converge to incorrect results even when simulations appear stable. Existing diagnostics monitor drift…

High Energy Physics - Lattice · Physics 2025-10-30 Anosh Joseph , Arpith Kumar
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