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The use of high-dimensional data for targeted therapeutic interventions requires new ways to characterize the heterogeneity observed across subgroups of a specific population. In particular, models for partially exchangeable data are needed…

Methodology · Statistics 2020-08-18 Francesco Denti , Federico Camerlenghi , Michele Guindani , Antonietta Mira

Life science and statistics have necessarily become essential partners. The need to plan complex, structured experiments, involving elaborated designs, and the need to analyse datasets in the era of systems biology and high throughput…

Other Statistics · Statistics 2012-08-29 Benjamin Hofner , Lea Vaas , John-Philip Lawo , Tina Müller , Johannes Sikorski , Dirk Repsilber

The problem of deciding whether two samples arise from the same distribution is often the question of interest in many research investigations. Numerous statistical methods have been devoted to this issue, but only few of them have…

Statistics Theory · Mathematics 2018-06-25 Rafael de Carvalho Ceregatti , Rafael Izbicki , Luis Ernesto Bueno Salasar

This papers presents a generalization of the Weitzman overlapping coefficient, originally defined for two probability density functions, to a setting involving k independent distributions, denoted by Delta. To estimate this generalized…

Methodology · Statistics 2026-03-24 Omar Eidous , Noura Almasri

Pattern formation in biological tissues plays an important role in the development of living organisms. Since the classical work of Alan Turing, a pre-eminent way of modelling has been through reaction-diffusion mechanisms. More recently,…

Analysis of PDEs · Mathematics 2023-01-27 Alexey Kazarnikov , Robert Scheichl , Heikki Haario , Anna Marciniak-Czochra

Large language models are increasingly being integrated into applications that shape the production and discovery of societal knowledge such as search, online education, and travel planning. As a result, language models will shape how…

Computation and Language · Computer Science 2025-01-03 Rida Qadri , Aida M. Davani , Kevin Robinson , Vinodkumar Prabhakaran

Spatial separation is often included in models of ethnic divergence but it has also been realised that urban subcultures can, and frequently do, emerge in sympatry. Previous research tended to attribute this phenomenon to the human tendency…

Populations and Evolution · Quantitative Biology 2022-03-01 Petr Tureček , Michal Kozák , Jakub Slavík

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

An outstanding open problem is whether collective social phenomena occurring over short timescales can systematically reduce cultural heterogeneity in the long run, and whether offline and online human interactions contribute differently to…

Physics and Society · Physics 2012-01-31 Luca Valori , Francesco Picciolo , Agnes Allansdottir , Diego Garlaschelli

Unmeasured confounding presents a common challenge in observational studies, potentially making standard causal parameters unidentifiable without additional assumptions. Given the increasing availability of diverse data sources, exploiting…

Methodology · Statistics 2023-09-18 Shanshan Luo , Yechi Zhang , Wei Li

The statistical matching problem is a data integration problem with structured missing data. The general form involves the analysis of multiple datasets that only have a strict subset of variables jointly observed across all datasets. The…

Methodology · Statistics 2019-04-01 Daniel Ahfock , Saumyadipta Pyne , Geoffrey J. McLachlan

Nonparametric and nonlinear measures of statistical dependence between pairs of random variables are important tools in modern data analysis. In particular the emergence of large data sets can now support the relaxation of linearity…

Methodology · Statistics 2016-05-13 Sarah Filippi , Chris Holmes

Combining multiple machine learning models has long been a technique for enhancing performance, particularly in distributed settings. Traditional approaches, such as model ensembles, work well, but are expensive in terms of memory and…

Machine Learning · Computer Science 2024-12-23 Albert Manuel Orozco Camacho , Stefan Horoi , Guy Wolf , Eugene Belilovsky

This paper presents a selective review of statistical computation methods for massive data analysis. A huge amount of statistical methods for massive data computation have been rapidly developed in the past decades. In this work, we focus…

In this article, we propose two classes of semiparametric mixture regression models with single-index for model based clustering. Unlike many semiparametric/nonparametric mixture regression models that can only be applied to low dimensional…

Methodology · Statistics 2017-08-15 Sijia Xiang , Weixin Yao

Datasets are growing not just in size but in complexity, creating a demand for rich models and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but scaling Bayesian inference is a challenge. In response…

Machine Learning · Statistics 2016-03-23 Elaine Angelino , Matthew James Johnson , Ryan P. Adams

In the classical setting of self-selection, the goal is to learn $k$ models, simultaneously from observations $(x^{(i)}, y^{(i)})$ where $y^{(i)}$ is the output of one of $k$ underlying models on input $x^{(i)}$. In contrast to mixture…

Statistics Theory · Mathematics 2022-12-13 Yeshwanth Cherapanamjeri , Constantinos Daskalakis , Andrew Ilyas , Manolis Zampetakis

We propose a general nonparametric Bayesian framework for binary regression, which is built from modeling for the joint response-covariate distribution. The observed binary responses are assumed to arise from underlying continuous random…

Methodology · Statistics 2016-09-06 Maria DeYoreo , Athanasios Kottas

Questions of understanding and quantifying the representation and amount of information in organisms have become a central part of biological research, as they potentially hold the key to fundamental advances. In this paper, we demonstrate…

Genomics · Quantitative Biology 2007-10-30 H. M. Aktulga , I. Kontoyiannis , L. A. Lyznik , L. Szpankowski , A. Y. Grama , W. Szpankowski

Divergence is not only an important mathematical concept in information theory, but also applied to machine learning problems such as low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection. We…

Computation · Statistics 2016-11-22 Kun Yang , Hao Su , Wing Hung Wong