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We consider the problem of simultaneous detection and estimation under a sequential framework. In particular we are interested in sequential tests that distinguish between the null and the alternative hypothesis and every time the decision…

统计理论 · 数学 2013-09-24 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

We investigate the problem of scanning and prediction ("scandiction", for short) of multidimensional data arrays. This problem arises in several aspects of image and video processing, such as predictive coding, for example, where an image…

信息论 · 计算机科学 2007-07-13 Asaf Cohen , Neri Merhav , Tsachy Weissman

In this paper, a unified approach to sequence-based control and estimation of linear networked systems with multiple sensors is proposed. Time delays and data losses in the controller-actuator-channel are compensated by sending sequences of…

系统与控制 · 计算机科学 2012-11-22 Jörg Fischer , Marc Reinhardt , Uwe D. Hanebeck

In the uniformity testing task, an algorithm is provided with samples from an unknown probability distribution over a (known) finite domain, and must decide whether it is the uniform distribution, or, alternatively, if its total variation…

数据结构与算法 · 计算机科学 2025-08-05 Guy Blanc , Clément L. Canonne , Erik Waingarten

This paper studies the subspace clustering problem in which data points collected from high-dimensional ambient space lie in a union of linear subspaces. Subspace clustering becomes challenging when the dimension of intersection between…

机器学习 · 计算机科学 2021-08-17 Weiwei Li , Mostafa Rahmani , Ping Li

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

统计方法学 · 统计学 2023-11-07 Zhaoyuan Li , Jie Gao

Computationally inexpensive algorithm for detecting of dispersed transients has been developed using Cumulative Sums (CUSUM) scheme for detecting abrupt changes in statistical characteristics of the signal. The efficiency of the algorithm…

天体物理仪器与方法 · 物理学 2011-04-28 Gene Soudlenkov , Vyacheslav V. Kitaev

Consider a sequence of $n$ independent random variables with a common continuous distribution $F$, and consider the task of choosing an increasing subsequence where the observations are revealed sequentially and where an observation must be…

概率论 · 数学 2016-08-02 Alessandro Arlotto , Vinh V. Nguyen , J. Michael Steele

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

统计方法学 · 统计学 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

We consider a problem of clustering a sequence of multinomial observations by way of a model selection criterion. We propose a form of a penalty term for the model selection procedure. Our approach subsumes both the conventional AIC and BIC…

机器学习 · 统计学 2015-08-17 Nam H. Lee , Runze Tang , Carey E. Priebe , Michael Rosen

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

机器学习 · 计算机科学 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

We consider the problem of selecting sequentially a unimodal subsequence from a sequence of independent identically distributed random variables, and we find that a person doing optimal sequential selection does within a factor of the…

概率论 · 数学 2011-10-31 Alessandro Arlotto , J. Michael Steele

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

最优化与控制 · 数学 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

Suppose that local characteristics of several independent compound Poisson and Wiener processes change suddenly and simultaneously at some unobservable disorder time. The problem is to detect the disorder time as quickly as possible after…

统计理论 · 数学 2008-04-01 Savas Dayanik , H. Vincent Poor , Semih O. Sezer

We study a CUSUM (cumulative sums) procedure for the detection of changes in the means of weakly dependent time series within an abstract Hilbert space framework. We use an empirical projection approach via a principal component…

统计理论 · 数学 2015-10-08 Leonid Torgovitski

In recent years, there has been an increasing interest in building video summarization tools, where the goal is to automatically create a short summary of an input video that properly represents the original content. We consider shot-based…

计算机视觉与模式识别 · 计算机科学 2019-12-10 Yair Shemer , Daniel Rotman , Nahum Shimkin

Whether listening to overlapping conversations in a crowded room or recording the simultaneous electrical activity of millions of neurons, the natural world abounds with sparse measurements of complex overlapping signals that arise from…

信号处理 · 电气工程与系统科学 2020-02-19 Zhixin Lu , Jason Z. Kim , Danielle S. Bassett

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

统计方法学 · 统计学 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic

In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

统计理论 · 数学 2008-08-27 Juha Karvanen

In this paper, we investigate the problem of scheduling parallel Kalman filters for multiple processes, where each process is observed by a Kalman filter and at each time step only one Kalman filter could obtain observation due to practical…

最优化与控制 · 数学 2012-07-18 Chen Wang , Zhiyun Lin , Gangfeng Yan
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