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Mutual Information (MI) is a fundamental metric for quantifying dependency between two random variables. When we can access only the samples, but not the underlying distribution functions, we can evaluate MI using sample-based estimators.…

Machine Learning · Statistics 2024-10-16 Kyungeun Lee , Wonjong Rhee

Bigraphs are a versatile modelling formalism that allows easy expression of placement and connectivity relations in a graphical format. System evolution is user defined as a set of rewrite rules. This paper presents a practical, yet…

Logic in Computer Science · Computer Science 2024-06-03 Blair Archibald , Muffy Calder , Michele Sevegnani

We tackle the problem of conditioning probabilistic programs on distributions of observable variables. Probabilistic programs are usually conditioned on samples from the joint data distribution, which we refer to as deterministic…

Machine Learning · Computer Science 2021-03-09 David Tolpin , Yuan Zhou , Tom Rainforth , Hongseok Yang

Difference in proportions is frequently used to measure treatment effect for binary outcomes in randomized clinical trials. The estimation of difference in proportions can be assisted by adjusting for prognostic baseline covariates to…

Methodology · Statistics 2023-08-31 Jialuo Liu , Dong Xi

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

Methodology · Statistics 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky

Off-policy evaluation can leverage logged data to estimate the effectiveness of new policies in e-commerce, search engines, media streaming services, or automatic diagnostic tools in healthcare. However, the performance of baseline…

Machine Learning · Computer Science 2025-03-03 Daniel Guzman-Olivares , Philipp Schmidt , Jacek Golebiowski , Artur Bekasov

Backscatter limits many interferometric measurements, including gravitational wave detectors, by creating spurious interference. We describe an experimental method to directly and quantitatively measure the backscatter interference. We…

Optics · Physics 2022-04-29 Michal Was , Eleonora Polini

Handling visual complexity is a challenging problem in visualization owing to the subjectiveness of its definition and the difficulty in devising generalizable quantitative metrics. In this paper we address this challenge by measuring the…

Artificial Intelligence · Computer Science 2013-02-26 B. Duffy , A. Dasgupta , R. Kosara , S. Walton , M. Chen

Pre-validation is a way to build prediction model with two datasets of significantly different feature dimensions. Previous work showed that the asymptotic distribution of the resulting test statistic for the pre-validated predictor…

Methodology · Statistics 2025-05-23 Jing Shang , Sourav Chatterjee , Trevor Hastie , Robert Tibshirani

We present a novel subset scan method to detect if a probabilistic binary classifier has statistically significant bias -- over or under predicting the risk -- for some subgroup, and identify the characteristics of this subgroup. This form…

Machine Learning · Statistics 2017-07-05 Zhe Zhang , Daniel B. Neill

Variational inference methods often focus on the problem of efficient model optimization, with little emphasis on the choice of the approximating posterior. In this paper, we review and implement the various methods that enable us to…

Machine Learning · Statistics 2017-07-11 Siddhartha Saxena , Shibhansh Dohare , Jaivardhan Kapoor

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

Many structural econometric models include latent variables on whose probability distributions one may wish to place minimal restrictions. Leading examples in panel data models are individual-specific variables sometimes treated as "fixed…

Econometrics · Economics 2024-01-15 Andrew Chesher , Adam M. Rosen , Yuanqi Zhang

Pseudo-variograms appear naturally in the context of multivariate Brown-Resnick processes, and are a useful tool for analysis and prediction of multivariate random fields. We give a necessary and sufficient criterion for a matrix-valued…

Statistics Theory · Mathematics 2021-12-07 Christopher Dörr , Martin Schlather

The study of international relations by definition deals with interdependencies among countries. One form of interdependence between countries is the diffusion of country-level features, such as policies, political regimes, or conflict. In…

Applications · Statistics 2019-03-22 Johan A. Elkink , Thomas U. Grund

The dependence of the bispectrum on the size and shape of the triangle contains a wealth of cosmological information. Here we consider a triangle parameterization which allows us to separate the size and shape dependence. We have…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Abinash Kumar Shaw , Somnath Bharadwaj , Debanjan Sarkar , Arindam Mazumdar , Sukhdeep Singh , Suman Majumdar

Previously [Journal of Causal Inference, 10, 90-105 (2022)], we computed the variance of two estimators of causal effects for a v-structure of binary variables. Here we show that a linear combination of these estimators has lower variance…

Statistics Theory · Mathematics 2025-03-19 Jack Kuipers , Giusi Moffa

In recommender systems, users rate items, and are subsequently served other product recommendations based on these ratings. Even though users usually rate a tiny percentage of the available items, the system tries to estimate unobserved…

Social and Information Networks · Computer Science 2024-06-21 Benjamin Leinwand , Vladas Pipiras

Random binnings generated via recursive binary splits are introduced as a way to detect, measure the strength of, and to display the pattern of association between any two variates, whether one or both are continuous or categorical. This…

Methodology · Statistics 2025-04-30 Chris Salahub , Wayne Oldford

Existing interactive visualization tools for deep learning are mostly applied to the training, debugging, and refinement of neural network models working on natural images. However, visual analytics tools are lacking for the specific…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Xinyi Huang , Suphanut Jamonnak , Ye Zhao , Boyu Wang , Minh Hoai , Kevin Yager , Wei Xu