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Big data are data on a massive scale in terms of volume, intensity, and complexity that exceed the capacity of standard software tools. They present opportunities as well as challenges to statisticians. The role of computational…

Computation · Statistics 2018-06-13 Chun Wang , Ming-Hui Chen , Elizabeth Schifano , Jing Wu , Jun Yan

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

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

Data science has arrived, and computational statistics is its engine. As the scale and complexity of scientific and industrial data grow, the discipline of computational statistics assumes an increasingly central role among the statistical…

Other Statistics · Statistics 2022-04-13 Andrew J. Holbrook , Akihiko Nishimura , Xiang Ji , Marc A. Suchard

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

Efficient numerical linear algebra is a core ingredient in many applications across almost all scientific and industrial disciplines. With this survey we want to illustrate that numerical linear algebra has played and is playing a crucial…

Numerical Analysis · Mathematics 2021-04-20 Martin Stoll

Data science is the business of learning from data, which is traditionally the business of statistics. Data science, however, is often understood as a broader, task-driven and computationally-oriented version of statistics. Both the term…

Other Statistics · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

Statistics students need to develop the capacity to make sense of the staggering amount of information collected in our increasingly data-centered world. Data science is an important part of modern statistics, but our introductory and…

Computation · Statistics 2014-01-15 Nicholas J Horton , Benjamin S Baumer , Hadley Wickham

Keeping pace with rapidly evolving technology is a key challenge in teaching statistics. To equip students with essential skills for the modern workplace, educators must integrate relevant technologies into the statistical curriculum where…

Other Statistics · Statistics 2026-02-23 Craig Alexander , Jennifer Gaskell , Vinny Davies

Recent experimental advances in neuroscience have opened new vistas into the immense complexity of neuronal networks. This proliferation of data challenges us on two parallel fronts. First, how can we form adequate theoretical frameworks…

Neurons and Cognition · Quantitative Biology 2015-06-12 Madhu Advani , Subhaneil Lahiri , Surya Ganguli

Recent advances in machine learning, coupled with low-cost computation, availability of cheap streaming sensors, data storage and cloud technologies, has led to widespread multi-disciplinary research activity with significant interest and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-23 Indranil Pan , Lachlan Mason , Omar Matar

Large Language Models (LLMs) have emerged as transformative tools in artificial intelligence (AI), exhibiting remarkable capabilities across diverse tasks such as text generation, reasoning, and decision-making. While their success has…

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

Data scientists and statisticians are often at odds when determining the best approach, machine learning or statistical modeling, to solve an analytics challenge. However, machine learning and statistical modeling are more cousins than…

Machine Learning · Computer Science 2022-01-10 Michele Bennett , Karin Hayes , Ewa J. Kleczyk , Rajesh Mehta

The use of statistical software in academia and enterprises has been evolving over the last years. More often than not, students, professors, workers, and users, in general, have all had, at some point, exposure to statistical software.…

Applications · Statistics 2019-08-21 Rui Portocarrero Sarmento , Vera Costa

The reproduction and replication of reported scientific results is a hot topic within the academic community. The retraction of numerous studies from a wide range of disciplines, from climate science to bioscience, has drawn the focus of…

Computational Engineering, Finance, and Science · Computer Science 2014-10-15 Tom Crick , Benjamin A. Hall , Samin Ishtiaq , Kenji Takeda

A growing number of students are completing undergraduate degrees in statistics and entering the workforce as data analysts. In these positions, they are expected to understand how to utilize databases and other data warehouses, scrape data…

Other Statistics · Statistics 2020-07-21 Johanna Hardin , Roger Hoerl , Nicholas J. Horton , Deborah Nolan

Statistical mechanics is one of the most powerful and elegant tools in the quantitative sciences. One key virtue of statistical mechanics is that it is designed to examine large systems with many interacting degrees of freedom, providing a…

Quantitative Methods · Quantitative Biology 2007-08-15 Hernan G. Garcia , Jané Kondev , Nigel Orme , Julie A. Theriot , Rob Phillips

Data Science is a multidisciplinary field that plays a crucial role in extracting valuable insights and knowledge from large and intricate datasets. Within the realm of Data Science, two fundamental components are Information Theory (IT)…

Data Analysis, Statistics and Probability · Physics 2024-12-31 Shahid Nawaz , Muhammad Saleem , F. V. Kusmartsev , Dalaver H. Anjum

Datacentric enthusiasm is growing strong across a variety of domains. Whilst data science asks unquestionably exciting scientific questions, we argue that its contributions should not be extrapolated from the scientific context in which…

Physics and Society · Physics 2020-07-09 Hykel Hosni , Angelo Vulpiani
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