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Using the matrix product state (MPS) representation of tensor train decompositions, in this paper we propose a tensor completion algorithm which alternates over the matrices (tensors) in the MPS representation. This development is motivated…

Numerical Analysis · Computer Science 2016-10-03 Wenqi Wang , Vaneet Aggarwal , Shuchin Aeron

Training data are usually limited or heterogeneous in many chemical and biological applications. Existing machine learning models for chemistry and materials science fail to consider generalizing beyond training domains. In this article, we…

Machine Learning · Computer Science 2023-10-31 Fang Wu , Nicolas Courty , Shuting Jin , Stan Z. Li

The design of molecules and materials with tailored properties is challenging, as candidate molecules must satisfy multiple competing requirements that are often difficult to measure or compute. While molecular structures, produced through…

Chemical Physics · Physics 2023-02-07 Julia Westermayr , Joe Gilkes , Rhyan Barrett , Reinhard J. Maurer

Despite enormous efforts over the last decades to establish the relationship between concrete proportioning and strength, a robust knowledge-based model for accurate concrete strength predictions is still lacking. As an alternative to…

Machine Learning · Computer Science 2020-05-01 Boya Ouyang , Yuhai Li , Yu Song , Feishu Wu , Huizi Yu , Yongzhe Wang , Mathieu Bauchy , Gaurav Sant

We present a novel machine learning based surrogate modeling method for predicting spatially resolved 3D microstructure evolution of polycrystalline materials under uniaxial tensile loading. Our approach is orders of magnitude faster than…

Materials Science · Physics 2020-05-05 Anup Pandey , Reeju Pokharel

Machine learning has emerged as a powerful approach in materials discovery. Its major challenge is selecting features that create interpretable representations of materials, useful across multiple prediction tasks. We introduce an…

Machine learning (ML) models have emerged as powerful tools for accelerating materials discovery and design by enabling accurate predictions of properties from compositional and structural data. These capabilities are vital for developing…

Fatigue properties of additively manufactured (AM) materials depend on many factors such as AM processing parameter, microstructure, residual stress, surface roughness, porosities, post-treatments, etc. Their evaluation inevitably requires…

Materials Science · Physics 2023-04-25 Min Yi , Ming Xue , Peihong Cong , Yang Song , Haiyang Zhang , Lingfeng Wang , Liucheng Zhou , Yinghong Li , Wanlin Guo

Machine learning has become a crucial tool for predicting the properties of crystalline materials. However, existing methods primarily represent material information by constructing multi-edge graphs of crystal structures, often overlooking…

Machine Learning · Computer Science 2024-11-14 Chao Huang , Chunyan Chen , Ling Shi , Chen Chen

Machine learning (ML) is emerging as a transformative tool for the design of architected materials, offering properties that far surpass those achievable through lab-based trial-and-error methods. However, a major challenge in current…

We present a scalable machine learning (ML) framework for predicting intensive properties and particularly classifying phases of many-body systems. Scalability and transferability are central to the unprecedented computational efficiency of…

Statistical Mechanics · Physics 2024-06-18 Zhongzheng Tian , Sheng Zhang , Gia-Wei Chern

In recent years, the power demonstrated by Machine Learning (ML) has increasingly attracted the interest of the optimization community that is starting to leverage ML for enhancing and automating the design of algorithms. One combinatorial…

Machine Learning · Computer Science 2022-09-19 Andrea Corsini , Simone Calderara , Mauro Dell'Amico

Property prediction accuracy has long been a key parameter of machine learning in materials informatics. Accordingly, advanced models showing state-of-the-art performance turn into highly parameterized black boxes missing interpretability.…

Materials Science · Physics 2023-08-03 Vadim Korolev , Pavel Protsenko

This work proposes a novel general-purpose estimator for supervised machine learning (ML) based on tensor trains (TT). The estimator uses TTs to parametrize discretized functions, which are then optimized using Riemannian gradient descent…

Machine Learning · Computer Science 2022-03-10 Bart Vandereycken , Rik Voorhaar

This paper considers the creation of parametric surrogate models for applications in science and engineering where the goal is to predict high-dimensional spatiotemporal output quantities of interest, such as pressure, temperature and…

Computational Physics · Physics 2022-03-24 Chi Hoang , Kenny Chowdhary , Kookjin Lee , Jaideep Ray

Predictive materials synthesis is the primary bottleneck in realizing new functional and quantum materials. Strategies for synthesis of promising materials are currently identified by time-consuming trial and error approaches and there are…

Recently supervised machine learning has been ascending in providing new predictive approaches for chemical, biological and materials sciences applications. In this Perspective we focus on the interplay of machine learning algorithm with…

The goal of most materials discovery is to discover materials that are superior to those currently known. Fundamentally, this is close to extrapolation, which is a weak point for most machine learning models that learn the probability…

Biomolecules · Quantitative Biology 2024-05-08 Hyunseung Kim , Haeyeon Choi , Dongju Kang , Won Bo Lee , Jonggeol Na

Solid state nuclear magnetic resonance (ss-NMR) is one of the most sensitive and popular techniques for structure elucidation in geometrically complex crystalline materials, such as zeolites. Synergistic support from computational modelling…

Direct prediction of material properties from microstructures through statistical models has shown to be a potential approach to accelerating computational material design with large design spaces. However, statistical modeling of highly…

Computational Physics · Physics 2017-12-12 Ruijin Cang , Hechao Li , Hope Yao , Yang Jiao , Yi Ren