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Bayesian inference affords scientists with powerful tools for testing hypotheses. One of these tools is the Bayes factor, which indexes the extent to which support for one hypothesis over another is updated after seeing the data. Part of…

Computation · Statistics 2018-12-11 Thomas J. Faulkenberry

Latent factor models (LFMs) such as matrix factorization achieve the state-of-the-art performance among various Collaborative Filtering (CF) approaches for recommendation. Despite the high recommendation accuracy of LFMs, a critical issue…

Machine Learning · Computer Science 2019-09-10 Weiyu Cheng , Yanyan Shen , Yanmin Zhu , Linpeng Huang

Previous likelihood-based linear modeling of nutritional data has been limited by the availability of software that allows flexible error structures in the data. We demonstrate the use of a Bayesian modeling approach to the analysis of such…

Statistics Theory · Mathematics 2007-06-13 Andrew Lawson , Daniela Nitcheva

This paper offers a comprehensive introduction to Bayesian inference, combining historical context, theoretical foundations, and core analytical examples. Beginning with Bayes' theorem and the philosophical distinctions between Bayesian and…

Methodology · Statistics 2025-12-08 Juan Sosa , Carlos A. Martínez , Danna Cruz

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

Machine Learning · Statistics 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

We propose a Bayesian modeling framework for jointly analyzing multiple functional responses of different types (e.g. binary and continuous data). Our approach is based on a multivariate latent Gaussian process and models the dependence…

Methodology · Statistics 2016-01-12 Beth A. Tidemann-Miller , Brian J. Reich , Ana-Maria Staicu

Is there a canonical way to think of agency beyond reward maximisation? In this paper, we show that any type of behaviour complying with physically sound assumptions about how macroscopic biological agents interact with the world…

Artificial Intelligence · Computer Science 2024-01-24 Lancelot Da Costa , Samuel Tenka , Dominic Zhao , Noor Sajid

Analysis of observational studies increasingly confronts the challenge of determining which of a possibly high-dimensional set of available covariates are required to satisfy the assumption of ignorable treatment assignment for estimation…

Methodology · Statistics 2022-03-23 Chanmin Kim , Mauricio Tec , Corwin M Zigler

This paper presents a framework designed to tackle a range of planning problems arise in manipulation, which typically involve complex geometric-physical reasoning related to contact and dynamic constraints. We introduce the Contact Factor…

Robotics · Computer Science 2025-03-11 Jeongmin Lee , Sunkyung Park , Minji Lee , Dongjun Lee

Our aim is to detect mechanistic interaction between the effects of two causal factors on a binary response, as an aid to identifying situations where the effects are mediated by a common mechanism. We propose a formalization of mechanistic…

Methodology · Statistics 2015-06-23 Carlo Berzuini , A. Philip Dawid

Causal inference in spatial domains faces two intertwined challenges: (1) unmeasured spatial factors, such as weather, air pollution, or mobility, that confound treatment and outcome, and (2) interference from nearby treatments that violate…

Machine Learning · Computer Science 2025-10-13 Ayush Khot , Miruna Oprescu , Maresa Schröder , Ai Kagawa , Xihaier Luo

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

Cystic fibrosis is a chronic lung disease which requires frequent patient monitoring to maintain lung function over time and minimize onset of acute respiratory events known as pulmonary exacerbations. From the clinical point of view it is…

In this paper, we provide efficient estimators and honest confidence bands for a variety of treatment effects including local average (LATE) and local quantile treatment effects (LQTE) in data-rich environments. We can handle very many…

Statistics Theory · Mathematics 2018-01-08 Alexandre Belloni , Victor Chernozhukov , Ivan Fernández-Val , Christian Hansen

Learning from experience is a key feature of decision-making in cognitively complex organisms. Strategic interactions involving Bayesian inferential strategies can enable us to better understand how evolving individual choices to be…

Biological Physics · Physics 2025-12-01 Arunava Patra , Supratim Sengupta , Sagar Chakraborty

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized items for different users. Latent factors based collaborative filtering (CF) has become the popular approaches for…

Information Retrieval · Computer Science 2021-01-15 Guang-Neng Hu , Xin-Yu Dai , Feng-Yu Qiu , Rui Xia , Tao Li , Shu-Jian Huang , Jia-Jun Chen

Causality lays the foundation for the trajectory of our world. Causal inference (CI), which aims to infer intrinsic causal relations among variables of interest, has emerged as a crucial research topic. Nevertheless, the lack of observation…

Machine Learning · Computer Science 2024-06-21 Yaochen Zhu , Yinhan He , Jing Ma , Mengxuan Hu , Sheng Li , Jundong Li

Analyzing multivariate count data generated by high-throughput sequencing technology in microbiome research studies is challenging due to the high-dimensional and compositional structure of the data and overdispersion. In practice,…

Applications · Statistics 2023-11-03 Jingyan Fu , Matthew D. Koslovsky , Andreas M. Neophytou , Marina Vannucci

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

Methodology · Statistics 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

An important problem in econometrics and marketing is to infer the causal impact that a designed market intervention has exerted on an outcome metric over time. This paper proposes to infer causal impact on the basis of a…

Applications · Statistics 2015-06-02 Kay H. Brodersen , Fabian Gallusser , Jim Koehler , Nicolas Remy , Steven L. Scott
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