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Off-policy evaluation of sequential decision policies from observational data is necessary in applications of batch reinforcement learning such as education and healthcare. In such settings, however, unobserved variables confound observed…

Machine Learning · Computer Science 2020-07-14 Nathan Kallus , Angela Zhou

The problem of quickest anomaly detection in networks with unlabeled samples is studied. At some unknown time, an anomaly emerges in the network and changes the data-generating distribution of some unknown sensor. The data vector received…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Zhongchang Sun , Shaofeng Zou

Bayesian optimal experimental design provides a principled framework for selecting experimental settings that maximize obtained information. In this work, we focus on estimating the expected information gain in the setting where the…

Machine Learning · Statistics 2025-10-02 Chuntao Chen , Tapio Helin , Nuutti Hyvönen , Yuya Suzuki

Change point detection is becoming increasingly popular in many application areas. On one hand, most of the theoretically-justified methods are investigated in an ideal setting without model violations, or merely robust against identical…

Methodology · Statistics 2021-10-26 Mengchu Li , Yi Yu

This paper establishes that an exactly optimal rule for Bayesian Quickest Change Detection (QCD) of Markov chains is a threshold test on the no change posterior. We also provide a computationally efficient scalar filter for the no change…

Systems and Control · Electrical Eng. & Systems 2023-03-27 Jason J. Ford , Justin M. Kennedy , Caitlin Tompkins , Jasmin James , Aaron McFadyen

This paper considers the covert identification problem in which a sender aims to reliably convey an identification (ID) message to a set of receivers via a binary-input discrete memoryless channel (BDMC), and simultaneously to guarantee…

Information Theory · Computer Science 2021-06-04 Qiaosheng Zhang , Vincent Y. F. Tan

Sparse model identification enables nonlinear dynamical system discovery from data. However, the control of false discoveries for sparse model identification is challenging, especially in the low-data and high-noise limit. In this paper, we…

Machine Learning · Computer Science 2023-04-28 L. Mars Gao , Urban Fasel , Steven L. Brunton , J. Nathan Kutz

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

We address the problem of searching for a change point in an anomalous process among a finite set of M processes. Specifically, we address a composite hypothesis model in which each process generates measurements following a common…

Machine Learning · Statistics 2024-12-30 Liad Lea Didi , Tomer Gafni , Kobi Cohen

Online algorithms for detecting changepoints, or abrupt shifts in the behavior of a time series, are often deployed with limited resources, e.g., to edge computing settings such as mobile phones or industrial sensors. In these scenarios it…

Machine Learning · Statistics 2021-07-27 Gregory W. Gundersen , Diana Cai , Chuteng Zhou , Barbara E. Engelhardt , Ryan P. Adams

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

Statistics Theory · Mathematics 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

We develop an ultrawideband (UWB) inverse scattering technique for reconstructing continuous random media based on Bayesian compressive sensing. In addition to providing maximum a posteriori estimates of the unknown weights, Bayesian…

Data Analysis, Statistics and Probability · Physics 2014-11-27 A. E. Fouda , F. L. Teixeira

Let \xi_0,\xi_1,...,\xi_{\omega-1} be observations from the hidden Markov model with probability distribution P^{\theta_0}, and let \xi_{\omega},\xi_{\omega+1},... be observations from the hidden Markov model with probability distribution…

Statistics Theory · Mathematics 2007-06-13 Cheng-Der Fuh

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model.…

Machine Learning · Statistics 2021-06-10 Johannes Kirschner , Andreas Krause

To achieve the joint active and passive beamforming gains in the reconfigurable intelligent surface assisted millimeter wave system, the reflected cascade channel needs to be accurately estimated. Many strategies have been proposed in the…

Information Theory · Computer Science 2021-09-22 Yiming Liu , Erwu Liu , Rui Wang , Zhu Han , Binyu Lu

In many modern applications, large-scale sensor networks are used to perform statistical inference tasks. In this paper, we propose Bayesian methods for multiple change-point detection using a sensor network in which a fusion center (FC)…

Information Theory · Computer Science 2023-07-19 Eyal Nitzan , Topi Halme , Visa Koivunen

The challenge of identifying the best feasible arm within a fixed budget has attracted considerable interest in recent years. However, a notable gap remains in the literature: the exact exponential rate at which the error probability…

Machine Learning · Computer Science 2025-06-04 Jie Bian , Vincent Y. F. Tan

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such…

Machine Learning · Statistics 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker

This paper presents a general asymptotic theory of sequential Bayesian estimation giving results for the strongest, almost sure convergence. We show that under certain smoothness conditions on the probability model, the greedy information…

Statistics Theory · Mathematics 2016-01-11 Janne V. Kujala

Unmeasured confounding bias threatens the validity of observational studies. While sensitivity analyses and study designs have been proposed to address this issue, they often overlook the growing availability of auxiliary data. Using…

Methodology · Statistics 2024-10-22 Jie Kate Hu , Dafne Zorzetto , Francesca Dominici
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