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This article discusses several erroneous claims which appear in textbooks on numerical methods and computational physics. These are not typos or mistakes an individual author has made, but widespread misconceptions. In an attempt to stop…

Physics Education · Physics 2020-12-25 Alexandros Gezerlis , Martin Williams

The design of effective programming languages, libraries, frameworks, tools, and platforms for data engineering strongly depends on their ease and correctness of use. Anyone who ignores that it is humans who use these tools risks building…

Software Engineering · Computer Science 2025-04-24 Max Neuwinger , Dirk Riehle

Context: Conducting experiments is central to research machine learning research to benchmark, evaluate and compare learning algorithms. Consequently it is important we conduct reliable, trustworthy experiments. Objective: We investigate…

The application of machine learning to physics problems is widely found in the scientific literature. Both regression and classification problems are addressed by a large array of techniques that involve learning algorithms. Unfortunately,…

Machine Learning · Computer Science 2022-10-03 Umberto Michelucci , Francesca Venturini

Mistakes in machine learning practice are commonplace, and can result in a loss of confidence in the findings and products of machine learning. This guide outlines common mistakes that occur when using machine learning, and what can be done…

Machine Learning · Computer Science 2024-08-30 Michael A. Lones

Regression methods dominate the practice of biostatistical analysis, but biostatistical training emphasises the details of regression models and methods ahead of the purposes for which such modelling might be useful. More broadly,…

Methodology · Statistics 2024-09-12 John B. Carlin , Margarita Moreno-Betancur

This textbook provides a systematic treatment of statistical machine learning for astronomical research through the lens of Bayesian inference, developing a unified framework that reveals connections between modern data analysis techniques…

Instrumentation and Methods for Astrophysics · Physics 2025-06-17 Yuan-Sen Ting

A physical (e.g. astrophysical, geophysical, meteorological etc.) data may appear as an output of an experiment or it may contain some sociological, economic or biological information. Whatever be the source of a time series data some…

Astrophysics · Physics 2007-05-23 Koushik Ghosh , Probhas Raychaudhuri

As artificial intelligence and machine learning tools become more accessible, and scientists face new obstacles to data collection (e.g. rising costs, declining survey response rates), researchers increasingly use predictions from…

Methodology · Statistics 2024-02-06 Kentaro Hoffman , Stephen Salerno , Awan Afiaz , Jeffrey T. Leek , Tyler H. McCormick

Context: Empirical Software Engineering (ESE) drives innovation in SE through qualitative and quantitative studies. However, concerns about the correct application of empirical methodologies have existed since the 2006 Dagstuhl seminar on…

We describe various errors in the mathematical literature, and consider how some of them might have been avoided, or at least detected at an earlier stage, using tools such as Maple or Sage. Our examples are drawn from three broad…

Number Theory · Mathematics 2021-10-14 Richard P. Brent

Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this…

Data Analysis, Statistics and Probability · Physics 2018-03-22 John Harlim

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

Frequentist statistical methods, such as hypothesis testing, are standard practice in papers that provide benchmark comparisons. Unfortunately, these methods have often been misused, e.g., without testing for their statistical test…

Methodology · Statistics 2021-05-18 David Issa Mattos , Jan Bosch , Helena Holmström Olsson

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

Data analysis is a powerful tool in all experimental sciences. Statistical methods, such as sampling theory, computer technologies necessary for handling large amounts of data, skill in analysing information contained in different types of…

Physics Education · Physics 2012-06-20 Vera Montalbano

A fundamental problem in the practice and teaching of data science is how to evaluate the quality of a given data analysis, which is different than the evaluation of the science or question underlying the data analysis. Previously, we…

Other Statistics · Statistics 2019-04-29 Stephanie C. Hicks , Roger D. Peng

In machine learning, a bias occurs whenever training sets are not representative for the test data, which results in unreliable models. The most common biases in data are arguably class imbalance and covariate shift. In this work, we aim to…

Machine Learning · Computer Science 2018-04-04 Patrick Glauner , Radu State , Petko Valtchev , Diogo Duarte

Learning from data has led to substantial advances in a multitude of disciplines, including text and multimedia search, speech recognition, and autonomous-vehicle navigation. Can machine learning enable similar leaps in the natural and…

Machine Learning · Computer Science 2022-11-22 Alice E. A. Allen , Alexandre Tkatchenko

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
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