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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

In this work we introduce declarative statistics, a suite of declarative modelling tools for statistical analysis. Statistical constraints represent the key building block of declarative statistics. First, we introduce a range of relevant…

Artificial Intelligence · Computer Science 2017-12-29 Roberto Rossi , Özgür Akgün , Steven Prestwich , S. Armagan Tarim

This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information…

Information Theory · Computer Science 2010-06-09 Neri Merhav

Over the last few years, with the growth of time-series collecting and storing, there has been a great demand for tools and software for temporal data engineering and modeling. This paper presents a generic workflow for time series data…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Pejman Farhadi Ghalati , Andreas Schuppert

Recently, the computational neuroscience community has pushed for more transparent and reproducible methods across the field. In the interest of unifying the domain of auditory neuroscience, naplib-python provides an intuitive and general…

Neurons and Cognition · Quantitative Biology 2023-09-20 Gavin Mischler , Vinay Raghavan , Menoua Keshishian , Nima Mesgarani

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

Machine Learning · Computer Science 2026-05-26 Agustinus Kristiadi

Understanding the temporal properties of longitudinal data is critical for identifying trends, predicting future events, and making informed decisions in any field where temporal data is analysed, including health and epidemiology, finance,…

This paper offers a step towards research infrastructure, which makes data from experimental economics efficiently usable for analysis of web data. We believe that regularities of human behavior found in experimental data also emerge in…

Computational Engineering, Finance, and Science · Computer Science 2014-12-16 Rustam Tagiew , Dmitry I. Ignatov , Fadi Amroush

In these notes we describe heuristics to predict computational-to-statistical gaps in certain statistical problems. These are regimes in which the underlying statistical problem is information-theoretically possible although no efficient…

Machine Learning · Statistics 2018-04-23 Afonso S. Bandeira , Amelia Perry , Alexander S. Wein

In the era of big data, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are…

Machine Learning · Statistics 2018-10-24 Jie Ding , Vahid Tarokh , Yuhong Yang

This paper explores the critical role of data clustering in data science, emphasizing its methodologies, tools, and diverse applications. Traditional techniques, such as partitional and hierarchical clustering, are analyzed alongside…

Artificial Intelligence · Computer Science 2025-10-07 Tai Dinh , Wong Hauchi , Daniil Lisik , Michal Koren , Dat Tran , Philip S. Yu , Joaquín Torres-Sospedra

This chapter opens with a review of classic tools for regression, a subset of machine learning that seeks to find relationships between variables. With the advent of scientific machine learning this field has moved from a purely data-driven…

Machine Learning · Statistics 2025-12-02 Miguel A. Mendez

R is a language and environment for statistical computing and graphics, which provides a wide variety of statistical tools (modeling, statistical testing, time series analysis, classification problems, machine learning, ...), together with…

Other Statistics · Statistics 2023-06-22 M. Isabel Parra , Eva L. Sanjuán , M. Carmen Robustillo , Mario M. Pizarro

Data analysis focuses on harnessing advanced statistics, programming, and machine learning techniques to extract valuable insights from vast datasets. An increasing volume and variety of research emerged, addressing datasets of diverse…

Databases · Computer Science 2025-01-06 Chen Liang , Donghua Yang , Zheng Liang , Zhiyu Liang , Tianle Zhang , Boyu Xiao , Yuqing Yang , Wenqi Wang , Hongzhi Wang

These notes were originally prepared as additional material for the lessons I have given at the summer school Gamma-ray Astrophysics and Multifrequency: Data analysis and astroparticle problems, organized by the Department of Physics of the…

Instrumentation and Methods for Astrophysics · Physics 2009-10-13 Luigi Foschini

PyPOTS is an open-source Python library dedicated to data mining and analysis on multivariate partially-observed time series with missing values. Particularly, it provides easy access to diverse algorithms categorized into five tasks:…

Machine Learning · Computer Science 2025-07-10 Wenjie Du , Yiyuan Yang , Linglong Qian , Jun Wang , Qingsong Wen

The article suggests a description of a system of tables with a set of special lists absorbing a semantics of data and reflects a fullness of data. It shows how their parallel processing can be constructed based on the descriptions. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-03 R. Nuriyev

Laboratory scientists are well equipped with statistical tools for univariate data, yet many phenomena of scientific interest are time-variant or otherwise multidimensional. Functional data analysis is one way of approaching such data: by…

Computation · Statistics 2023-02-28 Julian Lehrer , Mircea Teodorescu , Yohei Rosen

The usage of the high-level scripting language Python has enabled new mechanisms for data interrogation, discovery and visualization of scientific data. We present yt, an open source, community-developed astrophysical analysis and…

Instrumentation and Methods for Astrophysics · Physics 2011-12-21 Matthew J. Turk , Britton D. Smith

Exploring and understanding language data is a fundamental stage in all areas dealing with human language. It allows NLP practitioners to uncover quality concerns and harmful biases in data before training, and helps linguists and social…

Computation and Language · Computer Science 2024-06-26 Alan Ramponi , Camilla Casula , Stefano Menini