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We treat the change point problem in ergodic diffusion processes from discrete observations. Tonaki et al. (2020) proposed adaptive tests for detecting changes in the diffusion and drift parameters in ergodic diffusion models. When any…

统计理论 · 数学 2021-02-16 Yozo Tonaki , Yusuke Kaino , Masayuki Uchida

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

机器学习 · 计算机科学 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

Many studies collect functional data from multiple subjects that have both multilevel and multivariate structures. An example of such data comes from popular neuroscience experiments where participants' brain activity is recorded using…

统计方法学 · 统计学 2019-09-19 Jun Zhang , Greg J Siegle , Wendy D'Andrea , Robert T Krafty

We present a modification to the diffusion entropy analysis method for detecting temporal scaling. Diffusion entropy analysis detects temporal scaling in a data set by converting a time-series into a diffusion trajectory and using the…

适应与自组织系统 · 物理学 2023-11-21 Garland Culbreth , Jacob Baxley , David Lambert

One of the main goals of solar physics is the timely identification of eruptive active regions. Space missions such as Solar Orbiter or future Space Weather forecasting missions would largely benefit from this achievement. Our aim is to…

太阳与恒星天体物理 · 物理学 2020-01-08 P. Pagano , D. H. Mackay , S. L. Yardley

Functional data are ubiquitous in scientific modeling. For instance, quantities of interest are modeled as functions of time, space, energy, density, etc. Uncertainty quantification methods for computer models with functional response have…

统计方法学 · 统计学 2024-09-25 Devin Francom , J. Derek Tucker , Gabriel Huerta , Kurtis Shuler , Daniel Ries

The nature of diffusion is usually studied for particles or time-evolving systems. Similar in principle, such studies can be conducted by tracking how a given function of observable properties evolves over time-akin to the evolution of…

统计力学 · 物理学 2026-03-10 M. Süzen

There is an ongoing debate in the literature about whether the present global warming is increasing local and global temperature variability. The central methodological issues of this debate relate to the proper treatment of normalised…

流体动力学 · 物理学 2017-02-24 Miklos Vincze , Ion Borcia , Uwe Harlander

Past research has shown that multiple climate subsystems might undergo abrupt shifts, such as the Arctic Winter sea ice or the Amazon rainforest, but there are large uncertainties regarding their timing and spatial extent. In this study we…

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

统计方法学 · 统计学 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

Active, non-parametric peak detection is considered. As a use case, active source localization is examined and an uncertainty-based sampling scheme algorithm to effectively localize the peak from a few energy measurements is designed. It is…

信息论 · 计算机科学 2022-05-06 Praneeth Narayanamurthy , Urbashi Mitra

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

信号处理 · 电气工程与系统科学 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

统计力学 · 物理学 2024-10-21 Henrik Seckler , Ralf Metzler

Elastic networks can be tuned to exhibit complex mechanical responses and have been extensively used to study protein allosteric functionality, where a localized strain regulates the conformation at a distant site. We show that cooperative…

软凝聚态物质 · 物理学 2025-09-26 Ben Pisanty , Jovana Andrejevic , Andrea J. Liu , Sidney R. Nagel

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

统计方法学 · 统计学 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

Stable distribution is one of the attractive models that well describes fat-tail behaviors and scaling phenomena in various scientific fields. The approach based upon the method of moments yields a simple procedure for estimating stable law…

统计方法学 · 统计学 2021-06-24 Shinji Kakinaka , Ken Umeno

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

机器学习 · 统计学 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

We provide an online framework for analyzing data recorded by smart watches during running activities. In particular, we focus on identifying variations in the behavior of one or more measurements caused by changes in physical condition,…

应用统计 · 统计学 2022-06-24 Mattia Stival , Mauro Bernardi , Petros Dellaportas

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

统计方法学 · 统计学 2021-06-23 Michael Messer