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相关论文: Non-segmental Bayesian Detection of Multiple Chang…

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Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

统计计算 · 统计学 2015-01-15 Brendon J. Brewer

In this paper we introduce a novel approach for an important problem of break detection. Specifically, we are interested in detection of an abrupt change in the covariance structure of a high-dimensional random process -- a problem, which…

统计理论 · 数学 2020-07-30 Valeriy Avanesov , Nazar Buzun

Bayesian neural networks (BNNs) have received an increased interest in the last years. In BNNs, a complete posterior distribution of the unknown weight and bias parameters of the network is produced during the training stage. This…

机器学习 · 计算机科学 2023-04-14 Yunshi Huang , Emilie Chouzenoux , Victor Elvira , Jean-Christophe Pesquet

In this paper, we present a novel approach for object recognition in real-time by employing multilevel feature analysis and demonstrate the practicality of adapting feature extraction into a Naive Bayesian classification framework that…

计算机视觉与模式识别 · 计算机科学 2017-10-31 Yang Cheng , Timeo Dubois

We consider change point detection for the volatility in second order linear parabolic stochastic partial differential equations based on high frequency spatio-temporal data. We give a test statistic to detect changes in the volatility…

统计理论 · 数学 2025-12-02 Yozo Tonaki , Yusuke Kaino , Masayuki Uchida

We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and…

概率论 · 数学 2018-03-20 Annabel Prause , Ansgar Steland

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…

机器学习 · 统计学 2021-07-27 Gregory W. Gundersen , Diana Cai , Chuteng Zhou , Barbara E. Engelhardt , Ryan P. Adams

Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

统计理论 · 数学 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

统计方法学 · 统计学 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

Sequential change diagnosis is the joint problem of detection and identification of a sudden and unobservable change in the distribution of a random sequence. In this problem, the common probability law of a sequence of i.i.d. random…

概率论 · 数学 2007-10-29 Savas Dayanik , Christian Goulding , H. Vincent Poor

We consider online change detection of high dimensional data streams with sparse changes, where only a subset of data streams can be observed at each sensing time point due to limited sensing capacities. On the one hand, the detection…

机器学习 · 统计学 2020-09-23 Jie Guo , Hao Yan , Chen Zhang , Steven Hoi

There are several challenges associated with inverse problems in which we seek to reconstruct a piecewise constant field, and which we model using multiple level sets. Adopting a Bayesian viewpoint, we impose prior distributions on both the…

数值分析 · 数学 2021-12-01 William Reese , Arvind K. Saibaba , Jonghyun Lee

This paper studies high-dimensional trend inference for piecewise smooth signals under nonstationary noise and asynchronous structural breaks by first detecting asynchronous changes without assuming stationarity and then further exploiting…

统计方法学 · 统计学 2026-04-27 Lujia Bai , David Veitch , Weichi Wu , Wenyang Zhang , Zhou Zhou

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

统计方法学 · 统计学 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

The problem of detecting changes with multiple sensors has received significant attention in the literature. In many practical applications such as critical infrastructure monitoring and modeling of disease spread, a useful change…

信息论 · 计算机科学 2019-02-19 Mehmet Necip Kurt , Xiaodong Wang

Despite the impressive performance of deep networks in vision, language, and healthcare, unpredictable behaviors on samples from the distribution different than the training distribution cause severe problems in deployment. For better…

机器学习 · 计算机科学 2021-10-19 Jeonghoon Park , Jimin Hong , Radhika Dua , Daehoon Gwak , Yixuan Li , Jaegul Choo , Edward Choi

Nonlinear dynamical systems with regime transitions are typically described by ordinary differential equations with jumping parameters parameters. Traditional methods often treat change-point detection and parameter estimation as separate…

机器学习 · 统计学 2026-04-29 Yuhe Bai , Chengli Tan , Jiaqi Li , Xiangjun Wang , Zhikun Zhang

Detecting multiple structural breaks in high-dimensional data remains a challenge, particularly when changes occur in higher-order moments or within complex manifold structures. In this paper, we propose REAMP (Resonance-Enhanced Analysis…

统计方法学 · 统计学 2026-01-14 Xiaoping Shi , Baisuo Jin , Xianhui Liu , Qiong Li

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

统计理论 · 数学 2023-06-05 Haoyun Wang , Yao Xie

We develop algorithms for detecting multiple changepoints in functional data when the number of changepoints is unknown (unsupervised case), when it is specified apriori (supervised case), and when certain bounds are available…

统计方法学 · 统计学 2025-11-19 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De