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We consider a collection of independent random variables that are identically distributed, except for a small subset which follows a different, anomalous distribution. We study the problem of detecting which random variables in the…

Information Theory · Computer Science 2018-06-21 Natalie Durgin , Rachel Grotheer , Chenxi Huang , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

Multi-dimensional breakage is a ubiquitous phenomenon in natural systems, yet the systematic discovery of underlying governing equations remains a long-standing challenge. Current inverse solution techniques are restricted to…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 Suet Lin Leong , Firnaaz Ahamed , Yong Kuen Ho

Revealing hidden causal variables alongside the underlying causal mechanisms is essential to the development of science. Despite the progress in the past decades, existing practice in causal discovery (CD) heavily relies on high-quality…

Machine Learning · Computer Science 2025-10-14 Chenxi Liu , Yongqiang Chen , Tongliang Liu , Mingming Gong , James Cheng , Bo Han , Kun Zhang

We consider the problem of Bayesian inference for changepoints where the number and position of the changepoints are both unknown. In particular, we consider product partition models where it is possible to integrate out model parameters…

Computation · Statistics 2017-03-14 Alan Benson , Nial Friel

Observational causal discovery is only identifiable up to the Markov equivalence class. While interventions can reduce this ambiguity, in practice interventions are often soft with multiple unknown targets. In many realistic scenarios, only…

Machine Learning · Statistics 2026-03-05 Mingxuan Zhang , Khushi Desai , Sopho Kevlishvili , Elham Azizi

We consider the problem of inferring the directed, causal graph from observational data, assuming no hidden confounders. We take an information theoretic approach, and make three main contributions. First, we show how through algorithmic…

Machine Learning · Statistics 2018-09-07 Alexander Marx , Jilles Vreeken

Latent variable models provide a powerful framework for incorporating and inferring unobserved factors in observational data. In causal inference, they help account for hidden factors influencing treatment or outcome, thereby addressing…

Machine Learning · Computer Science 2025-08-29 Tetsuro Morimura , Tatsushi Oka , Yugo Suzuki , Daisuke Moriwaki

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

In recent years there has been significant progress in algorithms and methods for inducing Bayesian networks from data. However, in complex data analysis problems, we need to go beyond being satisfied with inducing networks with high…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Moises Goldszmidt , Abraham Wyner

While causal models are becoming one of the mainstays of machine learning, the problem of uncertainty quantification in causal inference remains challenging. In this paper, we study the causal data fusion problem, where datasets pertaining…

Machine Learning · Statistics 2021-06-08 Siu Lun Chau , Jean-François Ton , Javier González , Yee Whye Teh , Dino Sejdinovic

Optimal data detection in massive multiple-input multiple-output (MIMO) systems often requires prohibitively high computational complexity. A variety of detection algorithms have been proposed in the literature, offering different…

Econometrics · Economics 2025-07-02 Yong Li , Sushanta K. Mallick , Tao Zeng , Junxing Zhang

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

This paper focuses on building personalized player models solely from player behavior in the context of adaptive games. We present two main contributions: The first is a novel approach to player modeling based on multi-armed bandits (MABs).…

Artificial Intelligence · Computer Science 2021-02-11 Robert C. Gray , Jichen Zhu , Dannielle Arigo , Evan Forman , Santiago Ontañón

We consider the estimation of joint causal effects from observational data. In particular, we propose new methods to estimate the effect of multiple simultaneous interventions (e.g., multiple gene knockouts), under the assumption that the…

Methodology · Statistics 2016-03-11 Preetam Nandy , Marloes H. Maathuis , Thomas S. Richardson

We provide an approach to exploratory data analysis in matched observational studies with a single intervention and multiple endpoints. In such settings, the researcher would like to explore evidence for actual treatment effects among these…

Methodology · Statistics 2025-12-10 Mengqi Lin , Colin Fogarty

The causal discovery of Bayesian networks is an active and important research area, and it is based upon searching the space of causal models for those which can best explain a pattern of probabilistic dependencies shown in the data.…

Artificial Intelligence · Computer Science 2016-07-25 Xuhui Zhang , Kevin B. Korb , Ann E. Nicholson , Steven Mascaro

In this work, dynamic Bayesian multinets are introduced where a Markov chain state at time t determines conditional independence patterns between random variables lying within a local time window surrounding t. It is shown how…

Machine Learning · Computer Science 2013-01-18 Jeff A. Bilmes

We study a structured multi-agent multi-armed bandit (MAMAB) problem in a dynamic environment. A graph reflects the information-sharing structure among agents, and the arms' reward distributions are piecewise-stationary with several unknown…

Machine Learning · Computer Science 2023-06-12 Xiaotong Cheng , Setareh Maghsudi

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

Recently multi-armed bandit problem arises in many real-life scenarios where arms must be sampled in batches, due to limited time the agent can wait for the feedback. Such applications include biological experimentation and online…

Machine Learning · Statistics 2023-12-22 Shengyu Cao , Simai He , Ruoqing Jiang , Jin Xu , Hongsong Yuan