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The interplay between missing data and model uncertainty -- two classic statistical problems -- leads to primary questions that we formally address from an objective Bayesian perspective. For the general regression problem, we discuss the…

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

Machine Learning · Statistics 2026-05-12 Jicong Fan

Data redundancy is ubiquitous in the inputs and intermediate results of Deep Neural Networks (DNN). It offers many significant opportunities for improving DNN performance and efficiency and has been explored in a large body of work. These…

Machine Learning · Computer Science 2022-08-30 Jou-An Chen , Wei Niu , Bin Ren , Yanzhi Wang , Xipeng Shen

Statistics has made tremendous advances since the times of Fisher, Neyman, Jeffreys, and others, but the fundamental and practically relevant questions about probability and inference that puzzled our founding fathers remain unanswered. To…

Statistics Theory · Mathematics 2019-09-25 Ryan Martin

Point estimation of class prevalences in the presence of data set shift has been a popular research topic for more than two decades. Less attention has been paid to the construction of confidence and prediction intervals for estimates of…

Machine Learning · Statistics 2019-07-23 Dirk Tasche

In this paper, we consider the problem of fair statistical inference involving outcome variables. Examples include classification and regression problems, and estimating treatment effects in randomized trials or observational data. The…

Machine Learning · Statistics 2018-01-23 Razieh Nabi , Ilya Shpitser

In the last two decades recurrence plots (RPs) were introduced in many different scientific disciplines. It turned out how powerful this method is. After introducing approaches of quantification of RPs and by the study of relationships…

History and Philosophy of Physics · Physics 2017-09-29 Norbert Marwan

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

Econometrics · Economics 2025-02-04 Jean-Yves Pitarakis

A well-known issue with Retrieval Augmented Generation (RAG) is that retrieved passages that are irrelevant to the query sometimes distract the answer-generating LLM, causing it to provide an incorrect response. In this paper, we shed light…

Computation and Language · Computer Science 2025-10-29 Chen Amiraz , Florin Cuconasu , Simone Filice , Zohar Karnin

We consider the problem of predicting plausible missing facts in relational data, given a set of imperfect logical rules. In particular, our aim is to provide bounds on the (expected) number of incorrect inferences that are made in this…

Artificial Intelligence · Computer Science 2018-07-05 Ondrej Kuzelka , Yuyi Wang , Jesse Davis , Steven Schockaert

This paper has been withdrawn. With the advancement of statistical theory and computing power, data sets are providing a greater amount of insight into the problems of today. Statisticians have an ever increasing number of tools to attack…

Statistics Theory · Mathematics 2012-12-20 Derek S. Young

This article is due to appear in the Handbook of Statistics, Vol. 43, Elsevier/North-Holland, Amsterdam, edited by Arni S. R. Srinivasa Rao and C. R. Rao. In modern day analytics, there is ever growing need to develop statistical models to…

Statistics Theory · Mathematics 2019-08-20 Deepak Nag Ayyala

Citing papers is the primary method through which modern scientific writing discusses and builds on past work. Collectively, citing a diverse set of papers (in time and area of study) is an indicator of how widely the community is reading.…

Computation and Language · Computer Science 2023-08-01 Janvijay Singh , Mukund Rungta , Diyi Yang , Saif M. Mohammad

The debate around the interpretability of attention mechanisms is centered on whether attention scores can be used as a proxy for the relative amounts of signal carried by sub-components of data. We propose to study the interpretability of…

Machine Learning · Computer Science 2022-07-27 Jonathan Haab , Nicolas Deutschmann , Maria Rodríguez Martínez

Representativeness is a foundational yet slippery concept. Though familiar at first blush, it lacks a single precise meaning. Instead, meanings range from typical or characteristic, to a proportionate match between sample and population, to…

Computers and Society · Computer Science 2021-02-11 Kyla Chasalow , Karen Levy

The notion of distortion in social choice problems has been defined to measure the loss in efficiency -- typically measured by the utilitarian social welfare, the sum of utilities of the participating agents -- due to having access only to…

Computer Science and Game Theory · Computer Science 2021-03-02 Elliot Anshelevich , Aris Filos-Ratsikas , Nisarg Shah , Alexandros A. Voudouris

A lot of Machine Learning (ML) and Deep Learning (DL) research is of an empirical nature. Nevertheless, statistical significance testing (SST) is still not widely used. This endangers true progress, as seeming improvements over a baseline…

Machine Learning · Computer Science 2022-04-15 Dennis Ulmer , Christian Hardmeier , Jes Frellsen

Recently, a number of statistical problems have found an unexpected solution by inspecting them through a "modal point of view". These include classical tasks such as clustering or regression. This has led to a renewed interest in…

Methodology · Statistics 2018-07-10 José E. Chacón

The problem of all-relevant feature selection is concerned with finding a relevant feature set with preserved redundancies. There exist several approximations to solve this problem but only one could give a distinction between strong and…

Machine Learning · Computer Science 2020-04-17 Lukas Pfannschmidt , Barbara Hammer

Tensors are ubiquitous in statistics and data analysis. The central object that links data science to tensor theory and algebra is that of a model with latent variables. We provide an overview of tensor theory, with a particular emphasis on…

Statistics Theory · Mathematics 2024-11-22 Marta Casanellas , Luis Sierra , Piotr Zwiernik