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These lecture notes are intended to cover some introductory topics in stochastic simulation for scientific computing courses offered by the IT department at Uppsala University, as taught by the author. Basic concepts in probability theory…

Numerical Analysis · Mathematics 2025-01-03 Davoud Mirzaei

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

As high-dimensional and high-frequency data are being collected on a large scale, the development of new statistical models is being pushed forward. Functional data analysis provides the required statistical methods to deal with large-scale…

Statistics Theory · Mathematics 2020-07-08 Israel Martínez-Hernández , Marc G. Genton

We describe a novel, interdisciplinary, computational methods course that uses Python and associated numerical and visualization libraries to enable students to implement simulations for a number of different course modules. Problems in…

Chaotic Dynamics · Physics 2007-05-23 Christopher R. Myers , James. P. Sethna

In the 1990s, statisticians began thinking in a principled way about how computation could better support the learning and doing of statistics. Since then, the pace of software development has accelerated, advancements in computing and data…

Computation · Statistics 2018-06-05 Amelia McNamara

Text analysis is the process of constructing structured data from unstructured textual content, usually implemented in Python. In terms of the principles of text analysis, a computer program with the ability to read a file and match it with…

Methodology · Statistics 2023-07-21 Xiangtai Zuo

This article serves as the regression analysis lecture notes in the Intelligent Computing course cluster (including the courses of Artificial Intelligence, Data Mining, Machine Learning, and Pattern Recognition). It aims to provide students…

Machine Learning · Computer Science 2025-12-05 Jingyuan Wang , Jiahao Ji

The study of reaction times and their underlying cognitive processes is an important field in Psychology. Reaction times are usually modeled through the ex-Gaussian distribution, because it provides a good fit to multiple empirical data.…

We introduce a few of the key ideas of statistical analysis using two real-world examples to illustrate how these ideas are used in practice.

Methodology · Statistics 2015-04-07 Harrison B. Prosper

Power laws are theoretically interesting probability distributions that are also frequently used to describe empirical data. In recent years effective statistical methods for fitting power laws have been developed, but appropriate use of…

Data Analysis, Statistics and Probability · Physics 2014-02-03 Jeff Alstott , Ed Bullmore , Dietmar Plenz

In Machine Learning, feature selection entails selecting a subset of the available features in a dataset to use for model development. There are many motivations for feature selection, it may result in better models, it may provide insight…

Machine Learning · Computer Science 2021-06-14 Padraig Cunningham , Bahavathy Kathirgamanathan , Sarah Jane Delany

In this paper, we detail the integration of Python data analysis into a first-year physics laboratory course, a task accomplished without significant alterations to the existing course structure. We introduced tailored laboratory…

Physics Education · Physics 2024-05-28 Eugenio Tufino , Stefano Oss , Micol Alemani

Machine learning applications, especially in the fields of me\-di\-cine and social sciences, are slowly being subjected to increasing scrutiny. Similarly to sample size planning performed in clinical and social studies, lawmakers and…

Methodology · Statistics 2023-01-16 Antoni Klorek , Karol Roszak , Izabela Szczech , Dariusz Brzezinski

We describe how Python can be leveraged to streamline the curation, modelling and dissemination of drug discovery data as well as the development of innovative, freely available tools for the related scientific community. We look at various…

Other Computer Science · Computer Science 2016-07-05 Michał Nowotka , George Papadatos , Mark Davies , Nathan Dedman , Anne Hersey

Within the last years, Python became more prominent in the scientific community and is now used for simulations, machine learning, and data analysis. All these tasks profit from additional compute power offered by parallelism and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Andreas Gocht , Robert Schöne , Jan Frenzel

The paper addresses general aspects of experimental data analysis, dealing with the separation of ``signal vs. background''. It consists of two parts. Part I is a tutorial on statistical event classification, Bayesian inference, and test…

Data Analysis, Statistics and Probability · Physics 2023-06-30 Rudolf Frühwirth , Winfried Mitaroff

In 1977 John Tukey described how in exploratory data analysis, data analysts use tools, such as data visualizations, to separate their expectations from what they observe. In contrast to statistical theory, an underappreciated aspect of…

Methodology · Statistics 2024-02-02 Roger D. Peng , Stephanie C. Hicks

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

Statistically sound pattern discovery harnesses the rigour of statistical hypothesis testing to overcome many of the issues that have hampered standard data mining approaches to pattern discovery. Most importantly, application of…

Methodology · Statistics 2019-01-07 Wilhelmiina Hämäläinen , Geoffrey I. Webb