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Presolving has become an essential component of modern MIP solvers both in terms of computational performance and numerical robustness. In this paper, we present PaPILO, a new C++ header-only library that provides a large set of presolving…

Optimization and Control · Mathematics 2024-03-21 Ambros Gleixner , Leona Gottwald , Alexander Hoen

Large language models (LLMs) are increasingly applied to materials science questions, including literature comprehension, property prediction, materials discovery and alloy design. At the same time, a wide range of physics-based…

Materials Science · Physics 2025-12-17 Siyu Liu , Bo Hu , Beilin Ye , Jiamin Xu , David J. Srolovitz , Tongqi Wen

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

The multi-resolution approximation (MRA) of Gaussian processes was recently proposed to conduct likelihood-based inference for massive spatial data sets. An advantage of the methodology is that it can be parallelized. We implemented the MRA…

Computation · Statistics 2019-05-07 Huang Huang , Lewis R. Blake , Dorit M. Hammerling

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

MATLAB is a numerical computing platform used by scientists, engineers, mathematicians, and students which contains many mathematical functions, including isprime. MATLAB's isprime function determines which elements of an input array are…

Mathematical Software · Computer Science 2021-08-11 Travis Near

Mathematical formulae carry complex and essential semantic information in a variety of formats. Accessing this information with different systems requires a standardized machine-readable format that is capable of encoding presentational and…

Digital Libraries · Computer Science 2021-09-20 André Greiner-Petter , Moritz Schubotz , Howard S. Cohl , Bela Gipp

Developing automatic Math Word Problem (MWP) solvers has been an interest of NLP researchers since the 1960s. Over the last few years, there are a growing number of datasets and deep learning-based methods proposed for effectively solving…

Computation and Language · Computer Science 2021-09-21 Yihuai Lan , Lei Wang , Qiyuan Zhang , Yunshi Lan , Bing Tian Dai , Yan Wang , Dongxiang Zhang , Ee-Peng Lim

We describe a new parallel implementation, mplrs, of the vertex enumeration code lrs that uses the MPI parallel environment and can be run on a network of computers. The implementation makes use of a C wrapper that essentially uses the…

Mathematical Software · Computer Science 2017-10-13 David Avis , Charles Jordan

Large language models (LLMs) are playing an increasingly important role in science and engineering. For example, their ability to parse and understand human and computer languages makes them powerful interpreters and their use in…

Materials Science · Physics 2023-10-19 Juan C. Verduzco , Ethan Holbrook , Alejandro Strachan

The construction of Mapper has emerged in the last decade as a powerful and effective topological data analysis tool that approximates and generalizes other topological summaries, such as the Reeb graph, the contour tree, split, and joint…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Mustafa Hajij , Basem Assiri , Paul Rosen

Productivity languages such as NumPy and Matlab make it much easier to implement data-intensive numerical algorithms. However, these languages can be intolerably slow for programs that don't map well to their built-in primitives. In this…

Programming Languages · Computer Science 2013-04-09 Eric Hielscher , Alex Rubinsteyn , Dennis Shasha

We present GSPMD, an automatic, compiler-based parallelization system for common machine learning computations. It allows users to write programs in the same way as for a single device, then give hints through a few annotations on how to…

Gantt charts are frequently used to explore execution traces of large-scale parallel programs found in high-performance computing (HPC). In these visualizations, each parallel processor is assigned a row showing the computation state of a…

Human-Computer Interaction · Computer Science 2021-08-18 Connor Scully-Allison , Katherine E. Isaacs

Constructing datasets representative of the target domain is essential for training effective machine learning models. Active learning (AL) is a promising method that iteratively extends training data to enhance model performance while…

LLM serving systems typically treat user prompts as monolithic inputs, optimizing inference through decoding tricks or inter-query batching. However, many real-world prompts contain latent semantic parallelism--decomposable structures where…

Machine Learning · Computer Science 2025-10-22 Steven Kolawole , Keshav Santhanam , Virginia Smith , Pratiksha Thaker

Mathematical programming is widely employed across various sectors - such as logistics, energy, and workforce planning - to model and solve industrial optimisation problems, but its use requires substantial domain expertise. Large language…

Programming Languages · Computer Science 2026-05-29 Roberto Rossi , Steven D. Prestwich

Scripting languages such as Python and R have been widely adopted as tools for the productive development of scientific software because of the power and expressiveness of the languages and available libraries. However, deploying scripted…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-08 Justin M. Wozniak , Timothy G. Armstrong , Ketan C. Maheshwari , Daniel S. Katz , Michael Wilde , Ian T. Foster

Parallel batched data structures are designed to process synchronized batches of operations in a parallel computing model. In this paper, we propose parallel combining, a technique that implements a concurrent data structure from a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-14 Vitaly Aksenov , Petr Kuznetsov , Anatoly Shalyto

Heterogeneous systems are becoming more common on High Performance Computing (HPC) systems. Even using tools like CUDA and OpenCL it is a non-trivial task to obtain optimal performance on the GPU. Approaches to simplifying this task include…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-11 Marek Blazewicz , Steven R. Brandt , Peter Diener , David M. Koppelman , Krzysztof Kurowski , Frank Löffler , Erik Schnetter , Jian Tao
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