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Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data. Searching through all candidates requires $O(n)$ evaluations of the gain function for an interval…

统计方法学 · 统计学 2024-11-22 Solt Kovács , Housen Li , Lorenz Haubner , Axel Munk , Peter Bühlmann

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

统计方法学 · 统计学 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Estimating heterogeneous treatment effects is central to data-driven decision-making, yet industrial applications often face a fundamental tension between limited randomized controlled trial (RCT) budgets and abundant but biased…

统计方法学 · 统计学 2026-02-26 Jiacan Gao , Xinyan Su , Mingyuan Ma , Yiyan Huang , Xiao Xu , Xinrui Wan , Tianqi Gu , Enyun Yu , Jiecheng Guo , Zhiheng Zhang

Causal discovery is a fundamental problem with applications spanning various areas in science and engineering. It is well understood that solely using observational data, one can only orient the causal graph up to its Markov equivalence…

机器学习 · 计算机科学 2024-10-29 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

Random graph mixture models are now very popular for modeling real data networks. In these setups, parameter estimation procedures usually rely on variational approximations, either combined with the expectation-maximisation (\textsc{em})…

统计理论 · 数学 2010-12-09 Christophe Ambroise , Catherine Matias

We propose a Bayesian model selection approach that allows medical practitioners to select among predictor variables while taking their respective costs into account. Medical procedures almost always incur costs in time and/or money. These…

统计方法学 · 统计学 2024-05-07 Erica M. Porter , Christopher T. Franck , Stephen Adams

In some applications, acquiring covariates comes at a cost which is not negligible. For example in the medical domain, in order to classify whether a patient has diabetes or not, measuring glucose tolerance can be expensive. Assuming that…

机器学习 · 统计学 2020-02-24 Daniel Andrade , Yuzuru Okajima

In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

统计方法学 · 统计学 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

统计理论 · 数学 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

We consider the problem of optimising an expensive-to-evaluate grey-box objective function, within a finite budget, where known side-information exists in the form of the causal structure between the design variables. Standard black-box…

人工智能 · 计算机科学 2023-09-06 Kim Hammar , Neil Dhir

In this paper we provide new randomized algorithms with improved runtimes for solving linear programs with two-sided constraints. In the special case of the minimum cost flow problem on $n$-vertex $m$-edge graphs with integer…

数据结构与算法 · 计算机科学 2021-08-24 Jan van den Brand , Yin Tat Lee , Yang P. Liu , Thatchaphol Saranurak , Aaron Sidford , Zhao Song , Di Wang

Uncertainty in the estimation of the causal effect in observational studies is often due to unmeasured confounding, i.e., the presence of unobserved covariates linking treatments and outcomes. Instrumental Variables (IV) are commonly used…

统计方法学 · 统计学 2019-07-30 M. Usaid Awan , Yameng Liu , Marco Morucci , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

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…

计量经济学 · 经济学 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

We investigate the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution in a sequential setup. The aim is to jointly infer the true hypothesis and the true parameter while using on…

信号处理 · 电气工程与系统科学 2024-02-02 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Conformal prediction (CP) is a general framework to quantify the predictive uncertainty of machine learning models that uses a set prediction to include the true label with a valid probability. To align the uncertainty measured by CP,…

机器学习 · 计算机科学 2025-11-25 Xuesong Jia , Yuanjie Shi , Ziquan Liu , Yi Xu , Yan Yan

A framework for online robust adaptive radiation therapy (ART) is presented. This framework is designed to (i) handle interfractional geometric variations following a probability distribution different from the a priori hypothesis, (ii)…

医学物理 · 物理学 2020-09-09 Michelle Böck

Robustness of decision rules to shifts in the data-generating process is crucial to the successful deployment of decision-making systems. Such shifts can be viewed as interventions on a causal graph, which capture (possibly hypothetical)…

人工智能 · 计算机科学 2021-05-20 Benjie Wang , Clare Lyle , Marta Kwiatkowska

Pricing decisions of companies require an understanding of the causal effect of a price change on the demand. When real-life pricing experiments are infeasible, data-driven decision-making must be based on alternative data sources such as…

应用统计 · 统计学 2024-07-03 Lauri Valkonen , Santtu Tikka , Jouni Helske , Juha Karvanen

We study the problem of estimating the value function of discrete-time switched systems under arbitrary switching. Unlike the switched LQR problem, where both inputs and mode sequences are optimized, we consider the case where switching is…

最优化与控制 · 数学 2026-02-05 Léa Ninite , Adrien Banse , Guillaume O. Berger , Raphaël M. Jungers

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

机器学习 · 统计学 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné