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The earth system is exceedingly complex and often chaotic in nature, making prediction incredibly challenging: we cannot expect to make perfect predictions all of the time. Instead, we look for specific states of the system that lead to…

Machine Learning · Computer Science 2022-01-05 Elizabeth A. Barnes , Randal J. Barnes

The prototypical high-dimensional statistics problem entails finding a structured signal in noise. Many of these problems exhibit an intriguing phenomenon: the amount of data needed by all known computationally efficient algorithms far…

Computational Complexity · Computer Science 2019-11-19 Matthew Brennan , Guy Bresler , Wasim Huleihel

We consider the problem of learning the causal MAG of a system from observational data in the presence of latent variables and selection bias. Constraint-based methods are one of the main approaches for solving this problem, but the…

Machine Learning · Computer Science 2021-10-26 Sina Akbari , Ehsan Mokhtarian , AmirEmad Ghassami , Negar Kiyavash

Longitudinal or panel data can be represented as a matrix with rows indexed by units and columns indexed by time. We consider inferential questions associated with the missing data version of panel data induced by staggered adoption. We…

Statistics Theory · Mathematics 2024-07-02 Yuling Yan , Martin J. Wainwright

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

Time series data with missing values is common across many domains. Healthcare presents special challenges due to prolonged periods of sensor disconnection. In such cases, having a confidence measure for imputed values is critical. Most…

Machine Learning · Computer Science 2025-07-15 Addison Weatherhead , Anna Goldenberg

Missing data can lead to inefficiencies and biases in analyses, in particular when data are missing not at random (MNAR). It is thus vital to understand and correctly identify the missing data mechanism. Recovering missing values through a…

Methodology · Statistics 2022-12-08 Jack Noonan , Adetola Adedamola Adediran , Robin Mitra , Stefanie Biedermann

A risk analyst assesses potential financial losses based on multiple sources of information. Often, the assessment does not only depend on the specification of the loss random variable but also various economic scenarios. Motivated by this…

Risk Management · Quantitative Finance 2023-10-02 Tolulope Fadina , Yang Liu , Ruodu Wang

For nearly any challenging scientific problem evaluation of the likelihood is problematic if not impossible. Approximate Bayesian computation (ABC) allows us to employ the whole Bayesian formalism to problems where we can use simulations…

Computation · Statistics 2011-07-04 Chris Barnes , Sarah Filippi , Michael P. H. Stumpf , Thomas Thorne

We construct examples of contingency tables on $n$ binary random variables where the gap between the linear programming lower/upper bound and the true integer lower/upper bounds on cell entries is exponentially large. These examples provide…

Optimization and Control · Mathematics 2007-06-13 Seth Sullivant

In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that implicitly assumes a positivity…

Statistics Theory · Mathematics 2007-06-13 Guido Consonni , Giovanni Pistone

We introduce a novel sensitivity analysis framework for large scale classification problems that can be used when a small number of instances are incrementally added or removed. For quickly updating the classifier in such a situation,…

Machine Learning · Statistics 2015-04-14 Shota Okumura , Yoshiki Suzuki , Ichiro Takeuchi

The analysis of large datasets is often complicated by the presence of missing entries, mainly because most of the current machine learning algorithms are designed to work with full data. The main focus of this work is to introduce a…

Machine Learning · Computer Science 2018-01-08 Sunrita Poddar , Mathews Jacob

We characterize the structure and origins of missingness for 159 cross-sectional return predictors and study missing value handling for portfolios constructed using machine learning. Simply imputing with cross-sectional means performs well…

Methodology · Statistics 2024-01-15 Andrew Y. Chen , Jack McCoy

Estimating the causal effects of interventions is crucial to policy and decision-making, yet outcome data are often missing or subject to non-standard measurement error. While ground-truth outcomes can sometimes be obtained through costly…

Machine Learning · Statistics 2026-04-22 Ezinne Nwankwo , Lauri Goldkind , Angela Zhou

In this paper we study covariance estimation with missing data. We consider missing data mechanisms that can be independent of the data, or have a time varying dependency. Additionally, observed variables may have arbitrary (non uniform)…

Statistics Theory · Mathematics 2021-06-17 Eduardo Pavez , Antonio Ortega

Economic evaluations from individual-level data are an important component of the process of technology appraisal, with a view to informing resource allocation decisions. A critical problem in these analyses is that both effectiveness and…

Applications · Statistics 2018-02-01 Andrea Gabrio , Alexina J. Mason , Gianluca Baio

A powerful approach to detecting erroneous data is to check which potentially dirty data records are incompatible with a user's domain knowledge. Previous approaches allow the user to specify domain knowledge in the form of logical…

Databases · Computer Science 2019-02-27 Jing Nathan Yan , Oliver Schulte , Jiannan Wang , Reynold Cheng

We study the sequential general online regression, known also as the sequential probability assignments, under logarithmic loss when compared against a broad class of experts. We focus on obtaining tight, often matching, lower and upper…

Machine Learning · Computer Science 2023-02-02 Changlong Wu , Mohsen Heidari , Ananth Grama , Wojciech Szpankowski

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

Probability · Mathematics 2022-09-29 Damjan Škulj
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