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This paper considers the change-point problem for finite sequences of networks. To avoid the difficulty of computing the normalization coefficient, such as in Exponential random graphical models (ERGMs) and Markov networks, we construct a…

统计理论 · 数学 2021-01-19 Lei Qiao , Dong Han

This paper has been withdrawn by the authors. Please see arXiv:1302.6058. We consider the sequential joint detection and estimation problem. Minimizing the average stopping time subject to a combination of detection and estimation…

统计方法学 · 统计学 2013-04-15 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

We consider the problem of quickest change detection (QCD) in a signal where its observations are obtained using a set of actions, and switching from one action to another comes with a cost. The objective is to design a stopping rule…

最优化与控制 · 数学 2021-01-22 Tze Siong Lau , Wee Peng Tay

In this work, we consider a binary sequential hypothesis testing problem with distributed and asynchronous measurements. The aim is to analyze the effect of sampling times of jointly $\textit{wide-sense stationary}$ (WSS) Gaussian…

信号处理 · 电气工程与系统科学 2023-10-12 Nandan Sriranga , Saikiran Bulusu , Baocheng Geng , Pramod K. Varshney

Beam search is a go-to strategy for decoding neural sequence models. The algorithm can naturally be viewed as a subset optimization problem, albeit one where the corresponding set function does not reflect interactions between candidates.…

计算与语言 · 计算机科学 2023-06-26 Clara Meister , Martina Forster , Ryan Cotterell

Finite-context models (FCMs) are widely used for compressing symbolic sequences such as DNA, where predictive performance depends critically on the context length k and smoothing parameter {\alpha}. In practice, these hyperparameters are…

机器学习 · 统计学 2026-03-23 José Contente , Ana Martins , Armando J. Pinho , Sónia Gouveia

Since the work of Page in the 1950s, the problem of detecting an abrupt change in the distribution of stochastic processes has received a great deal of attention. In particular, a deep connection has been established between Lorden's…

概率论 · 数学 2017-06-23 José E. Figueroa-López , Sveinn Ólafsson

The fundamental question considered in algorithms on strings is that of indexing, that is, preprocessing a given string for specific queries. By now we have a number of efficient solutions for this problem when the queries ask for an exact…

数据结构与算法 · 计算机科学 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…

In this work we present strategies for (optimal) measurement selection in model-based sequential diagnosis. In particular, assuming a set of leading diagnoses being given, we show how queries (sets of measurements) can be computed and…

人工智能 · 计算机科学 2017-05-30 Patrick Rodler , Wolfgang Schmid , Konstantin Schekotihin

We study the problem of learning clusters of partially observed linear dynamical systems from multiple input-output trajectories. This setting is particularly relevant when there are limited observations (e.g., short trajectories) from…

系统与控制 · 电气工程与系统科学 2025-07-24 Maryann Rui , Munther A. Dahleh

In this paper, we consider the problem of (multiple) change-point detection in panel data. We propose the double CUSUM statistic which utilises the cross-sectional change-point structure by examining the cumulative sums of ordered CUSUMs at…

统计方法学 · 统计学 2016-11-29 Haeran Cho

Sequential inspection is a technique employed to monitor product quality during the production process. For smaller batch sizes, the Acceptable Quality Limit(AQL) inspection theory is typically applied, whereas for larger batch sizes, the…

统计方法学 · 统计学 2024-12-17 Dihong Huang

This paper considers a problem where multiple users make repeated decisions based on their own observed events. The events and decisions at each time step determine the values of a utility function and a collection of penalty functions. The…

最优化与控制 · 数学 2013-05-13 Michael J. Neely

We consider the problem of sequential signal detection in a multichannel system where the number and location of signals is a priori unknown. We assume that the data in each channel are sequentially observed and follow a general non-i.i.d.…

统计理论 · 数学 2016-01-14 Georgios Fellouris , Alexander G. Tartakovsky

The classical problem of quickest change detection is studied with an additional constraint on the cost of observations used in the detection process. The change point is modeled as an unknown constant, and minimax formulations are proposed…

统计理论 · 数学 2012-11-19 Taposh Banerjee , Venugopal V. Veeravalli

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

信息论 · 计算机科学 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

The problem of quickest change detection is studied in the context of detecting an arbitrary unknown mean-shift in multiple independent Gaussian data streams. The James-Stein estimator is used in constructing detection schemes that exhibit…

统计理论 · 数学 2026-04-21 Topi Halme , Venugopal V. Veeravalli , Visa Koivunen

We propose a new approach to sequential testing which is an adaptive (on-line) extension of the (off-line) framework developed in [10]. It relies upon testing of pairs of hypotheses in the case where each hypothesis states that the vector…

统计理论 · 数学 2017-02-27 Anatoli Juditsky , Arkadi Nemirovski

A decision maker records measurements of a finite-state Markov chain corrupted by noise. The goal is to decide when the Markov chain hits a specific target state. The decision maker can choose from a finite set of sampling intervals to pick…

最优化与控制 · 数学 2012-08-17 Vikram Krishnamurthy