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The creation of the ICH E9 (R1) estimands framework has led to more precise specification of the treatment effects of interest in the design and statistical analysis of clinical trials. However, it is unclear how the new framework relates…

Methodology · Statistics 2024-12-20 Thomas Drury , Jonathan W. Bartlett , David Wright , Oliver N. Keene

A causal rate distortion function with a general fidelity criterion is formulated on abstract alphabets and a coding theorem is derived. Existence of the minimizing kernel is shown using the topology of weak convergence of probability…

Information Theory · Computer Science 2012-02-07 Photios A. Stavrou , Charalambos D. Charalambous , Christos K. Kourtellaris

Text features that are correlated with class labels, but do not directly cause them, are sometimesuseful for prediction, but they may not be insightful. As an alternative to traditional correlation-basedfeature selection, causal inference…

Machine Learning · Computer Science 2020-10-12 Guohou Shan , James Foulds , Shimei Pan

The separate tasks of denoising, least squares expectation, and manifold learning can often be posed in a common setting of finding the conditional expectations arising from a product of two random variables. This paper focuses on this more…

Machine Learning · Statistics 2024-02-15 Suddhasattwa Das

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

In many scientific tasks we are interested in discovering whether there exist any correlations in our data. This raises many questions, such as how to reliably and interpretably measure correlation between a multivariate set of attributes,…

Machine Learning · Computer Science 2019-09-02 Panagiotis Mandros , Mario Boley , Jilles Vreeken

Particle- and agent-based systems are a ubiquitous modeling tool in many disciplines. We consider the fundamental problem of inferring interaction kernels from observations of agent-based dynamical systems given observations of…

Machine Learning · Computer Science 2020-04-01 Mauro Maggioni , Jason Miller , Ming Zhong

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

Causal inference and the estimation of causal effects plays a central role in decision-making across many areas, including healthcare and economics. Estimating causal effects typically requires an estimator that is tailored to each problem…

Our goal is to produce methods for observational causal inference that are auditable, easy to troubleshoot, accurate for treatment effect estimation, and scalable to high-dimensional data. We describe a general framework called…

Methodology · Statistics 2023-10-16 Quinn Lanners , Harsh Parikh , Alexander Volfovsky , Cynthia Rudin , David Page

Classification is a well-studied machine learning task which concerns the assignment of instances to a set of outcomes. Classification models support the optimization of managerial decision-making across a variety of operational business…

Machine Learning · Computer Science 2025-05-19 Wouter Verbeke , Diego Olaya , Jeroen Berrevoets , Sam Verboven , Sebastián Maldonado

We study the problem of selecting covariates for unbiased estimation of the total causal effect.Existing approaches typically rely on global causal structure learning over all variables, or on strong assumptions such as causal sufficiency -…

Machine Learning · Statistics 2026-05-22 Zeyu Liu , Zheng Li , Feng Xie , Yan Zeng , Hao Zhang , Kun Zhang

In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial…

Statistics Theory · Mathematics 2012-03-05 Young K. Lee , Enno Mammen , Byeong U. Park

While witnessing the exceptional success of machine learning (ML) technologies in many applications, users are starting to notice a critical shortcoming of ML: correlation is a poor substitute for causation. The conventional way to discover…

Machine Learning · Computer Science 2024-09-26 Ahmet Kapkiç , Pratanu Mandal , Shu Wan , Paras Sheth , Abhinav Gorantla , Yoonhyuk Choi , Huan Liu , K. Selçuk Candan

We develop a generalized inverse optimization framework for fitting the cost vector of a single linear optimization problem given multiple observed decisions. This setting is motivated by ensemble learning, where building consensus from…

Optimization and Control · Mathematics 2020-06-08 Aaron Babier , Timothy C. Y. Chan , Taewoo Lee , Rafid Mahmood , Daria Terekhov

Kernel methods are powerful tools in various data analysis tasks. Yet, in many cases, their time and space complexity render them impractical for large datasets. Various kernel approximation methods were proposed to overcome this issue,…

Machine Learning · Computer Science 2022-05-24 Roy Mitz , Yoel Shkolnisky

Causal inference is the goal of randomized trials and many observational studies. The first step in a formal causal inference framework is to define the causal estimand, and in both types of study this can be intuitively defined as the…

Methodology · Statistics 2025-09-09 Margarita Moreno-Betancur , Rushani Wijesuriya , John B. Carlin

Computing a consensus object from a set of given objects is a core problem in machine learning and pattern recognition. One popular approach is to formulate it as an optimization problem using the generalized median. Previous methods like…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Andreas Nienkötter , Xiaoyi Jiang

Ascertaining causal direction from observational data is a fundamental challenge in scientific inquiry. Of particular interest is the problem of covariate-adjusted bivariate causal discovery, i.e., determining the causal direction between X…

Methodology · Statistics 2025-07-30 Soumik Purkayastha , Peter X. -K. Song

The paper reviews methods that seek to draw causal inference from observational data and demonstrates how they can be applied to empirical problems in engineering research. It presents a framework for causal identification based on the…

Applications · Statistics 2022-11-28 Daniel J Graham