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Biclustering, also known as co-clustering or two-way clustering, simultaneously partitions the rows and columns of a data matrix to reveal submatrices with coherent patterns. Incorporating background knowledge into clustering to enhance…

Optimization and Control · Mathematics 2026-02-24 Antonio M. Sudoso

Large scale machine learning and deep models are extremely data-hungry. Unfortunately, obtaining large amounts of labeled data is expensive, and training state-of-the-art models (with hyperparameter tuning) requires significant computing…

Machine Learning · Computer Science 2021-06-15 Krishnateja Killamsetty , Durga Sivasubramanian , Ganesh Ramakrishnan , Rishabh Iyer

We present a new computational scheme, GRIP (Geometric Random Inner Products), for testing the quality of random number generators. The GRIP formalism utilizes geometric probability techniques to calculate the average scalar products of…

Computational Physics · Physics 2009-11-07 Shu-Ju Tu , Ephraim Fischbach

Discovering new materials is a challenging task in materials science crucial to the progress of human society. Conventional approaches based on experiments and simulations are labor-intensive or costly with success heavily depending on…

We introduce a framework and early results for massively scalable Gaussian processes (MSGP), significantly extending the KISS-GP approach of Wilson and Nickisch (2015). The MSGP framework enables the use of Gaussian processes (GPs) on…

Machine Learning · Computer Science 2015-11-06 Andrew Gordon Wilson , Christoph Dann , Hannes Nickisch

Grid computing is a collection of computer resources that are gathered together from various areas to give computational resources such as storage, data or application services. This is to permit clients to access this huge measure of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Garba Aliyu , Kana A. F. D. , Abdullahi Mohammed , Idris Abdulmumin , Shehu Adamu , Fatsuma Jauro

In computational physics and materials science, first-principles methods, particularly density functional theory, have become central tools for electronic structure prediction and materials design. Recently, rapid advances in artificial…

Novel methods are presented in this initial study for the fusion of GPU kernels in the artificial compressibility method (ACM), using tensor product elements with constant Jacobians and flux reconstruction. This is made possible through the…

Mathematical Software · Computer Science 2022-01-05 Will Trojak , Rob Watson , Freddie Witherden

This Article presents two optimized multi-GPU algorithms for Fock matrix construction, building on the work of Ufimtsev et al. and Barca et al. The novel algorithms, opt-UM and opt-Brc, introduce significant enhancements, including improved…

Computational Physics · Physics 2024-08-01 Elise Palethorpe , Ryan Stocks , Giuseppe M. J. Barca

Efficient generation of high-resolution synthetic microstructures is essential in digital rock physics, yet classical Quartet Structure Generation Set (QSGS) algorithms become prohibitively expensive on large three-dimensional grids. We…

Computational Physics · Physics 2026-02-13 Ruofan Wang , Mohammed Al-Kobaisi

Advancements in theoretical and algorithmic approaches, workflow engines, and an ever-increasing computational power have enabled a novel paradigm for materials discovery through first-principles high-throughput simulations. A major…

Many boundary element integral equation kernels are based on the Green's functions of the Laplace and Helmholtz equations in three dimensions. These include, for example, the Laplace, Helmholtz, elasticity, Stokes, and Maxwell's equations.…

Computational Physics · Physics 2016-08-24 Ross Adelman , Nail A. Gumerov , Ramani Duraiswami

Parameter estimation via unbinned maximum likelihood fits is a central technique in particle physics. This article introduces MoreFit, which aims to provide a more optimised, rapid and efficient fitting solution for unbinned maximum…

Data Analysis, Statistics and Probability · Physics 2026-02-05 Christoph Langenbruch

We develop algorithms capable of tackling robust black-box optimisation problems, where the number of model runs is limited. When a desired solution cannot be implemented exactly the aim is to find a robust one, where the worst case in an…

Optimization and Control · Mathematics 2020-04-17 Martin Hughes , Marc Goerigk , Trivikram Dokka

Most of the new technological changes in power systems are expected to take place in distribution grids. The enormous potential for distribution flexibility could meet the transmission system's needs, changing the paradigm of…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo , Mardavij Roozbehani , Munther Dahleh

Autonomous materials discovery with desired properties is one of the ultimate goals for materials science, and the current studies have been focusing mostly on high-throughput screening based on density functional theory calculations and…

A variant of the U-Net convolutional neural network architecture is proposed to estimate linear elastic compatibility stresses in a-Zr (hcp) polycrystalline grain structures. Training data was generated using VGrain software with a…

Materials Science · Physics 2023-03-16 J. D. Langcaster , D. S. Balint , M. R. Wenman

In recent years, diffusion models have become the most popular and powerful methods in the field of image synthesis, even rivaling human artists in artistic creativity. However, the key issue currently limiting the application of diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Zhongjie Duan , Chengyu Wang , Cen Chen , Jun Huang , Weining Qian

Machine learning interatomic potentials have revolutionized complex materials design by enabling rapid exploration of material configurational spaces via crystal structure prediction with ab initio accuracy. However, critical challenges…

We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with periodic potential. The algorithm is based on column selection and random Fourier projection of the orbital functions. The computational…

Numerical Analysis · Mathematics 2015-12-03 Jianfeng Lu , Lexing Ying
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