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State statistics of linear systems satisfy certain structural constraints that arise from the underlying dynamics and the directionality of input disturbances. In the present paper we study the problem of completing partially known state…

Optimization and Control · Mathematics 2017-05-16 Armin Zare , Yongxin Chen , Mihailo R. Jovanović , Tryphon T. Georgiou

This paper describes a compound Poisson-based random effects structure for modeling zero-inflated data. Data with large proportion of zeros are found in many fields of applied statistics, for example in ecology when trying to model and…

Applications · Statistics 2009-07-29 Marie-Pierre Etienne , Eric Parent , Benoit Hugues , Bernier Jacques

A further understanding of cause and effect within observational data is critical across many domains, such as economics, health care, public policy, web mining, online advertising, and marketing campaigns. Although significant advances…

Machine Learning · Computer Science 2023-04-11 Zhixuan Chu , Sheng Li

In this paper we study the problem of bilinear regression and we further address the case when the response matrix contains missing data that referred as the problem of inductive matrix completion. We propose a quasi-Bayesian approach first…

Methodology · Statistics 2023-02-15 The Tien Mai

Randomized controlled trials generate experimental variation that can credibly identify causal effects, but often suffer from limited scale, while observational datasets are large, but often violate desired identification assumptions. To…

Econometrics · Economics 2023-12-27 George Z. Gui

Patients often discontinue treatment in a clinical trial because their health condition is not improving. Consequently, the patients still in the study at the end of the trial have better health outcomes on average than the initial patient…

Methodology · Statistics 2022-06-06 Alex Ocampo , Heinz Schmidli , Peter Quarg , Francesca Callegari , Marcello Pagano

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

Methodology · Statistics 2025-01-23 Joseph Feldman , Jerome P. Reiter

The problem of missing data, usually absent incurated and competition-standard datasets, is an unfortunate reality for most machine learning models used in industry applications. Recent work has focused on understanding the nature and the…

Machine Learning · Computer Science 2022-01-25 Spyridon Mouselinos , Kyriakos Polymenakos , Antonis Nikitakis , Konstantinos Kyriakopoulos

Without a control group, the most widespread methodologies for estimating causal effects cannot be applied. To fill this gap, we propose the Machine Learning Control Method, a new approach for causal panel analysis that estimates causal…

Econometrics · Economics 2024-10-28 Augusto Cerqua , Marco Letta , Fiammetta Menchetti

Low-rank matrix completion is the task of recovering unknown entries of a matrix by assuming that the true matrix admits a good low-rank approximation. Sometimes additional information about the variables is known, and incorporating this…

Machine Learning · Computer Science 2023-06-16 Benoît Loucheur , P. -A. Absil , Michel Journée

Matching is an important tool in causal inference. The method provides a conceptually straightforward way to make groups of units comparable on observed characteristics. The use of the method is, however, limited to situations where the…

Methodology · Statistics 2019-06-18 Fredrik Sävje , Michael J. Higgins , Jasjeet S. Sekhon

Attrition in survey and field experiments presents a challenge for social science research. Common approaches to deal with this problem -- such as complete case analysis, multiple imputation, and weighting methods -- rely on strong…

Methodology · Statistics 2026-04-13 Xiangyu Song

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

Ecological Momentary Assessments (EMA) capture real-time thoughts and behaviors in natural settings, producing rich longitudinal data for statistical and physiological analyses. However, the robustness of these analyses can be compromised…

Methodology · Statistics 2023-11-21 Yiheng Wei , Donald Hedeker

In this paper, we propose a new approach to causal inference with panel data. Instead of using panel data to adjust for differences in the distribution of unobserved heterogeneity between the treated and comparison groups, we instead use…

Econometrics · Economics 2025-12-01 Brantly Callaway , Derek Dyal , Pedro H. C. Sant'Anna , Emmanuel S. Tsyawo

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

Methodology · Statistics 2020-02-04 Edward H. Kennedy

Targeted Maximum Likelihood Estimation (TMLE) is increasingly used for doubly robust causal inference, but how missing data should be handled when using TMLE with data-adaptive approaches is unclear. Based on the Victorian Adolescent Health…

Inferring causal effects of treatments is a central goal in many disciplines. The potential outcomes framework is a main statistical approach to causal inference, in which a causal effect is defined as a comparison of the potential outcomes…

Methodology · Statistics 2018-01-04 Peng Ding , Fan Li

There is currently a dearth of appropriate methods to estimate the causal effects of multiple treatments when the outcome is binary. For such settings, we propose the use of nonparametric Bayesian modeling, Bayesian Additive Regression…

Methodology · Statistics 2020-03-02 Chenyang Gu , Michael J. Lopez , Liangyuan Hu

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

Econometrics · Economics 2022-02-01 Gabriel Okasa