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Relational models generalize log-linear models to arbitrary discrete sample spaces by specifying effects associated with any subsets of their cells. A relational model may include an overall effect, pertaining to every cell after a…

Methodology · Statistics 2019-05-17 Anna Klimova , Tamás Rudas

The standard methods for detecting differential gene expression are mostly designed for analyzing a single gene expression experiment. When data from multiple related gene expression studies are available, separately analyzing each study is…

Methodology · Statistics 2013-11-07 Yingying Wei , Hongkai Ji

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

Signal Processing · Electrical Eng. & Systems 2021-12-09 Louis L. Scharf , Yuan Wang

A well-known technique in estimating probabilities of rare events in general and in information theory in particular (used, e.g., in the sphere-packing bound), is that of finding a reference probability measure under which the event of…

Information Theory · Computer Science 2014-12-23 Rami Atar , Neri Merhav

Images obtained from coherent illumination processes are contaminated with speckle. A prominent example of such imagery systems is the polarimetric synthetic aperture radar (PolSAR). For such remote sensing tool the speckle interference…

Information Theory · Computer Science 2018-09-18 Abraão D. C. Nascimento , Alejandro C. Frery , Renato J. Cintra

We describe a method that infers whether statistical dependences between two observed variables X and Y are due to a "direct" causal link or only due to a connecting causal path that contains an unobserved variable of low complexity, e.g.,…

Machine Learning · Computer Science 2012-02-20 Dominik Janzing , Eleni Sgouritsa , Oliver Stegle , Jonas Peters , Bernhard Schoelkopf

Phylogenetic comparative analysis is an approach to inferring evolutionary process from a combination of phylogenetic and phenotypic data. The last few years have seen increasingly sophisticated models employed in the evaluation of more and…

Populations and Evolution · Quantitative Biology 2021-05-27 Clayton E. Cressler , Marguerite A. Butler , Aaron A. King

Identifying the effects of causes and causes of effects is vital in virtually every scientific field. Often, however, the needed probabilities may not be fully identifiable from the data sources available. This paper shows how partial…

Artificial Intelligence · Computer Science 2023-01-31 Ang Li , Scott Mueller , Judea Pearl

The NLP community typically relies on performance of a model on a held-out test set to assess generalization. Performance drops observed in datasets outside of official test sets are generally attributed to "out-of-distribution" effects.…

Computation and Language · Computer Science 2024-04-03 Aparna Elangovan , Jiayuan He , Yuan Li , Karin Verspoor

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

Methodology · Statistics 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta

Measuring strength or degree of statistical dependence between two random variables is a common problem in many domains. Pearson's correlation coefficient $\rho$ is an accurate measure of linear dependence. We show that $\rho$ is a…

Statistics Theory · Mathematics 2018-04-24 Priyantha Wijayatunga

In many scientific tasks we are interested in discovering whether there exist any correlations in our data. This raises many questions, such as how to reliably and interpretably measure correlation between a multivariate set of attributes,…

Machine Learning · Computer Science 2019-09-02 Panagiotis Mandros , Mario Boley , Jilles Vreeken

Adequacy for estimation between an inferential method and a model can be de{\ldots}ned through two main requirements: {\ldots}rstly the inferential tool should de{\ldots}ne a well posed problem when applied to the model; secondly the…

Statistics Theory · Mathematics 2025-07-30 Michel Broniatowski , Justin Moutsouka

Many two-sample problems call for a comparison of two distributions from an exponential family. Density ratio estimation methods provide ways to solve such problems through direct estimation of the differences in natural parameters. The…

Statistics Theory · Mathematics 2025-02-19 Erika Banzato , Mathias Drton , Kian Saraf-Poor , Hongjian Shi

The probability density quantile (pdQ) carries essential information regarding shape and tail behavior of a location-scale family. Convergence of repeated applications of the pdQ mapping to the uniform distribution is investigated and new…

Statistics Theory · Mathematics 2018-05-23 Robert Staudte , Aihua Xia

Latent variable models are crucial in scientific research, where a key variable, such as effort, ability, and belief, is unobserved in the sample but needs to be identified. This paper proposes a novel method for estimating realizations of…

Machine Learning · Statistics 2022-10-05 Yingyao Hu , Yang Liu , Jiaxiong Yao

Model misspecification is a long-standing enigma of the Bayesian inference framework as posteriors tend to get overly concentrated on ill-informed parameter values towards the large sample limit. Tempering of the likelihood has been…

Methodology · Statistics 2019-12-13 Owen Thomas , Jukka Corander

We propose a method to measure real-valued time series irreversibility which combines two differ- ent tools: the horizontal visibility algorithm and the Kullback-Leibler divergence. This method maps a time series to a directed network…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Lucas Lacasa , Ángel M. Núñez , Édgar Roldán , Juan M. R. Parrondo , Bartolo Luque

Graphical models provide a framework for exploration of multivariate dependence patterns. The connection between graph and statistical model is made by identifying the vertices of the graph with the observed variables and translating the…

Statistics Theory · Mathematics 2008-02-08 Mathias Drton , Michael D. Perlman

Identifying differences in networks has become a canonical problem in many biological applications. Here, we focus on testing whether two Gaussian graphical models are the same. Existing methods try to accomplish this goal by either…

Methodology · Statistics 2019-10-01 Sen Zhao , Stephen Ottinger , Suzanne Peck , Christine Mac Donald , Ali Shojaie