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Visualization of multidimensional, categorical data is a common challenge across scientific areas and, in particular, the life sciences. The goal is to create a comprehensive overview of the underlying data which allows to assess multiple…

Quantitative Methods · Quantitative Biology 2025-06-19 Matthias Flotho , Philipp Flotho , Andreas Keller

Discrete integration is a fundamental problem in computer science that concerns the computation of discrete sums over exponentially large sets. Despite intense interest from researchers for over three decades, the design of scalable…

Artificial Intelligence · Computer Science 2020-10-22 Jeffrey M. Dudek , Dror Fried , Kuldeep S. Meel

Dimensionality reduction techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

Machine Learning · Computer Science 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

This report concerns the problem of dimensionality reduction through information geometric methods on statistical manifolds. While there has been considerable work recently presented regarding dimensionality reduction for the purposes of…

Machine Learning · Statistics 2008-09-30 Kevin M. Carter , Raviv Raich , Alfred O. Hero

SDRcausal is a package that implements sufficient dimension reduction methods for causal inference as proposed in Ghosh, Ma, and de Luna (2021). The package implements (augmented) inverse probability weighting and outcome regression…

Computation · Statistics 2021-05-07 Mohammad Ghasempour , Xavier de Luna

Dimensionality reduction techniques are widely used for visualizing high-dimensional data. However, support for interpreting patterns of dimension reduction results in the context of the original data space is often insufficient.…

Human-Computer Interaction · Computer Science 2024-04-15 Brian Montambault , Gabriel Appleby , Jen Rogers , Camelia D. Brumar , Mingwei Li , Remco Chang

The desirability-function approach is a widely adopted method for optimizing multiple-response processes. Kuhn (2016) implemented the packages desirability and desirability2 in the statistical programming language R, but no comparable…

Optimization and Control · Mathematics 2025-12-29 Thomas Bartz-Beielstein

PyUnfold is a Python package for incorporating imperfections of the measurement process into a data analysis pipeline. In an ideal world, we would have access to the perfect detector: an apparatus that makes no error in measuring a desired…

Data Analysis, Statistics and Probability · Physics 2018-06-12 James Bourbeau , Zigfried Hampel-Arias

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

`scores` is a Python package containing mathematical functions for the verification, evaluation and optimisation of forecasts, predictions or models. It supports labelled n-dimensional (multidimensional) data, which is used in many…

Sufficient dimension reduction aims for reduction of dimensionality of a regression without loss of information by replacing the original predictor with its lower-dimensional subspace. Partial (sufficient) dimension reduction arises when…

Methodology · Statistics 2019-09-27 Lu Li , Kai Tan , Xuerong Meggie Wen , Zhou Yu

Many dimension reduction techniques have been developed for independent data, and most have also been extended to time series. However, these methods often fail to account for the dynamic dependencies both within and across series. In this…

Methodology · Statistics 2025-09-25 Daniel Peña , Victor J. Yohai

CurvPy is an open-source Python library for automated curve fitting and regression analysis, aiming to make advanced statistical and machine learning techniques more accessible. This paper explores the mathematical foundations and…

Databases · Computer Science 2024-07-09 Sidharth S S

We present pyroomacoustics, a software package aimed at the rapid development and testing of audio array processing algorithms. The content of the package can be divided into three main components: an intuitive Python object-oriented…

Sound · Computer Science 2019-05-08 Robin Scheibler , Eric Bezzam , Ivan Dokmanić

Unsupervised machine learning lacks ground truth by definition. This poses a major difficulty when designing metrics to evaluate the performance of such algorithms. In sharp contrast with supervised learning, for which plenty of quality…

Machine Learning · Computer Science 2023-03-20 Raúl Lara-Cabrera , Ángel González-Prieto , Diego Pérez-López , Diego Trujillo , Fernando Ortega

Disaggregation modelling, or downscaling, has become an important discipline in epidemiology. Surveillance data, aggregated over large regions, is becoming more common, leading to an increasing demand for modelling frameworks that can deal…

Computation · Statistics 2020-01-15 Anita K. Nandi , Tim C. D. Lucas , Rohan Arambepola , Peter Gething , Daniel J. Weiss

The past decade has witnessed a dramatic increase in the size and scope of biological and behavioral experiments. These experiments are providing an unprecedented level of detail and depth of data. However, this increase in data presents…

Quantitative Methods · Quantitative Biology 2014-04-03 Samuel V. Scarpino , Ross Gillette , David Crews

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

This paper presents a systematic review of Python packages with a focus on time series analysis. The objective is to provide (1) an overview of the different time series analysis tasks and preprocessing methods implemented, and (2) an…

Mathematical Software · Computer Science 2021-06-23 Julien Siebert , Janek Groß , Christof Schroth

The package High-dimensional Metrics (\Rpackage{hdm}) is an evolving collection of statistical methods for estimation and quantification of uncertainty in high-dimensional approximately sparse models. It focuses on providing confidence…

Machine Learning · Statistics 2017-09-28 Victor Chernozhukov , Chris Hansen , Martin Spindler