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Machine learning is increasingly recognized as a promising technology in the biological, biomedical, and behavioral sciences. There can be no argument that this technique is incredibly successful in image recognition with immediate…

In the rapidly growing literature on explanation algorithms, it often remains unclear what precisely these algorithms are for and how they should be used. In this position paper, we argue for a novel and pragmatic perspective: Explainable…

Machine Learning · Computer Science 2025-06-17 Sebastian Bordt , Eric Raidl , Ulrike von Luxburg

In the rapidly evolving optimization and metaheuristics domains, the efficacy of algorithms is crucially determined by the benchmark (test) functions. While several functions have been developed and derived over the past decades, little…

In recent years, ideas from statistics and scientific computing have begun to interact in increasingly sophisticated and fruitful ways with ideas from computer science and the theory of algorithms to aid in the development of improved…

Data Structures and Algorithms · Computer Science 2010-10-11 Michael W. Mahoney

Machine learning is the study of computer algorithms that can automatically improve based on data and experience. Machine learning algorithms build a model from sample data, called training data, to make predictions or judgments without…

Computation, the use of a computer to solve, simulate, or visualize a physical problem, has revolutionized how physics research is done. Computation is used widely to model systems, to simulate experiments, and to analyze data. Yet, in most…

Physics Education · Physics 2015-11-18 Marcos D. Caballero

AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-century symbolic approaches successfully…

History and Overview · Mathematics 2026-05-05 Haocheng Ju , Bin Dong

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents…

Other Statistics · Statistics 2021-09-01 David White

Mathematicians have traditionally been a select group of academics that produce high-impact ideas allowing substantial results in several fields of science. Throughout the past 35 years, undergraduates enrolling in mathematics or statistics…

History and Overview · Mathematics 2024-03-18 Ariel Cintron-Arias , Ryan Nivens , Anant Godbole , Calvin B. Purvis

Nowadays, Machine Learning (ML) is seen as the universal solution to improve the effectiveness of information retrieval (IR) methods. However, while mathematics is a precise and accurate science, it is usually expressed by less accurate and…

Digital Libraries · Computer Science 2020-12-22 André Greiner-Petter , Terry Ruas , Moritz Schubotz , Akiko Aizawa , William Grosky , Bela Gipp

Probabilistic programming is a powerful abstraction for statistical machine learning. Applying static analysis methods to probabilistic programs could serve to optimize the learning process, automatically verify properties of models, and…

Programming Languages · Computer Science 2019-09-12 Ryan Bernstein

New technologies have led to vast troves of large and complex datasets across many scientific domains and industries. People routinely use machine learning techniques to not only process, visualize, and make predictions from this big data,…

Machine Learning · Statistics 2023-08-04 Genevera I. Allen , Luqin Gan , Lili Zheng

Basic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the models have been imported from physics…

Classical Physics · Physics 2025-07-14 Sergej Pankratow

An exponential growth in computing power, which has brought more sophisticated and higher resolution simulations of the climate system, and an exponential increase in observations since the first weather satellite was put in orbit, are…

Atmospheric and Oceanic Physics · Physics 2024-08-20 Annalisa Bracco , Julien Brajard , Henk A. Dijkstra , Pedram Hassanzadeh , Christian Lessig , Claire Monteleoni

Large language models (LLMs) represent a new paradigm for processing unstructured data, with applications across an unprecedented range of domains. In this paper, we address, through two arguments, whether the development and application of…

Methodology · Statistics 2026-02-03 Weijie Su

Progress within physical oceanography has been concurrent with the increasing sophistication of tools available for its study. The incorporation of machine learning (ML) techniques offers exciting possibilities for advancing the capacity…

Atmospheric and Oceanic Physics · Physics 2022-04-14 Maike Sonnewald , Redouane Lguensat , Daniel C. Jones , Peter D. Dueben , Julien Brajard , Venkatramani Balaji

Stroke remains one of the most critical global health challenges, ranking as the second leading cause of death and the third leading cause of disability worldwide. This study explores the effectiveness of machine learning algorithms in…

Machine Learning · Computer Science 2025-05-16 Anastasija Tashkova , Stefan Eftimov , Bojan Ristov , Slobodan Kalajdziski

Many have argued that statistics students need additional facility to express statistical computations. By introducing students to commonplace tools for data management, visualization, and reproducible analysis in data science and applying…

Computation · Statistics 2020-07-21 Nicholas J. Horton , Benjamin S. Baumer , Hadley Wickham

Statistical boosting algorithms have triggered a lot of research during the last decade. They combine a powerful machine-learning approach with classical statistical modelling, offering various practical advantages like automated variable…

A new field of research is rapidly expanding at the crossroad between statistical physics, information theory and combinatorial optimization. In particular, the use of cutting edge statistical physics concepts and methods allow one to solve…

Neurons and Cognition · Quantitative Biology 2008-03-28 Marc Mezard , Thierry Mora