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Conformal prediction constructs a set of labels instead of a single point prediction, while providing a probabilistic coverage guarantee. Beyond the coverage guarantee, adaptiveness to example difficulty is an important property. It means…

Machine Learning · Computer Science 2025-11-18 Sooyong Jang , Insup Lee

Simulation studies are commonly used to evaluate the performance of newly developed meta-analysis methods. For methodology that is developed for an aggregated data meta-analysis, researchers often resort to simulation of the aggregated data…

Applications · Statistics 2022-01-19 Edwin R. van den Heuvel , Osama Almalik , Zhuozhao Zhan

Nonparametric estimation of a mixing distribution based on data coming from a mixture model is a challenging problem. Beyond estimation, there is interest in uncertainty quantification, e.g., confidence intervals for features of the mixing…

Methodology · Statistics 2019-06-14 Vaidehi Dixit , Ryan Martin

This paper introduces a bilateral matching mechanism to explain why different populations have different levels of cooperation. The traditional game theory assumes that individuals can acquire their neighbor's information without cost after…

Computer Science and Game Theory · Computer Science 2022-12-29 Xiaoming Gong

Our aim is to estimate the largest community (a.k.a., mode) in a population composed of multiple disjoint communities. This estimation is performed in a fixed confidence setting via sequential sampling of individuals with replacement. We…

Statistics Theory · Mathematics 2023-09-25 Meera Pai , Nikhil Karamchandani , Jayakrishnan Nair

The integration and transfer of information from multiple sources to multiple targets is a core motive of neural systems. The emerging field of partial information decomposition (PID) provides a novel information-theoretic lens into these…

Information Theory · Computer Science 2021-10-28 Ari Pakman , Amin Nejatbakhsh , Dar Gilboa , Abdullah Makkeh , Luca Mazzucato , Michael Wibral , Elad Schneidman

This paper focuses on parameter estimation and introduces a new method for lower bounding the Bayesian risk. The method allows for the use of virtually \emph{any} information measure, including R\'enyi's $\alpha$, $\varphi$-Divergences, and…

Information Theory · Computer Science 2023-03-27 Amedeo Roberto Esposito , Adrien Vandenbroucque , Michael Gastpar

Statistical matching is a technique for integrating two or more data sets when information available for matching records for individual participants across data sets is incomplete. Statistical matching can be viewed as a missing data…

Methodology · Statistics 2015-10-14 Jae-kwang Kim , Emily Berg , Taesung Park

Scientific datasets play a crucial role in contemporary data-driven research, as they allow for the progress of science by facilitating the discovery of new patterns and phenomena. This mounting demand for empirical research raises…

Digital Libraries · Computer Science 2024-10-02 Yulin Yu , Daniel M. Romero

In the age of big data, nonprobability surveys are becoming increasingly abundant. Data integration techniques involving both probability and nonprobability surveys are being extensively used for providing improved estimates for finite…

Applications · Statistics 2025-10-17 Aditi Sen , Partha Lahiri

Gathering the most information by picking the least amount of data is a common task in experimental design or when exploring an unknown environment in reinforcement learning and robotics. A widely used measure for quantifying the…

Machine Learning · Statistics 2015-09-17 Johannes Kulick , Robert Lieck , Marc Toussaint

High-resolution estimates of population health indicators are critical for precision public health. We propose a method for high-resolution estimation that fuses distinct data sources: an unbiased, low-resolution data source (e.g.…

Methodology · Statistics 2025-08-21 Amy Guan , Marissa Reitsma , Roshni Sahoo , Joshua Salomon , Stefan Wager

Maximum entropy method is a constructive criterion for setting up a probability distribution maximally non-committal to missing information on the basis of partial knowledge, usually stated as constrains on expectation values of some…

Statistical Mechanics · Physics 2015-07-20 Jorge Fernandez-de-Cossio , Jorge Fernandez-de-Cossio Diaz

Predictive distributions need to be aggregated when probabilistic forecasts are merged, or when expert opinions expressed in terms of probability distributions are fused. We take a prediction space approach that applies to discrete, mixed…

Statistics Theory · Mathematics 2011-06-09 Tilmann Gneiting , Roopesh Ranjan

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

Quantitative Methods · Quantitative Biology 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

Mutual information has been successfully adopted in filter feature-selection methods to assess both the relevancy of a subset of features in predicting the target variable and the redundancy with respect to other variables. However,…

Machine Learning · Computer Science 2019-07-18 Mario Beraha , Alberto Maria Metelli , Matteo Papini , Andrea Tirinzoni , Marcello Restelli

We address the goal of conducting inference about a smooth finite-dimensional parameter by utilizing individual-level data from various independent sources. Recent advancements have led to the development of a comprehensive theory capable…

Statistics Theory · Mathematics 2025-11-19 Ellen Graham , Marco Carone , Andrea Rotnitzky

It is not unusual for a data analyst to encounter data sets distributed across several computers. This can happen for reasons such as privacy concerns, efficiency of likelihood evaluations, or just the sheer size of the whole data set. This…

Computation · Statistics 2018-05-22 Randy C. S. Lai , J. Hannig , Thomas C. M. Lee

In data fusion analysts seek to combine information from two databases comprised of disjoint sets of individuals, in which some variables appear in both databases and other variables appear in only one database. Most data fusion techniques…

Methodology · Statistics 2015-06-22 Bailey K. Fosdick , Maria DeYoreo , Jerome P. Reiter

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv