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This paper illustrates novel methods for nonstationary time series modeling along with their applications to selected problems in neuroscience. These methods are semi-parametric in that inferences are derived by combining sequential…

应用统计 · 统计学 2010-11-03 Fabio Rigat , Jim Q. Smith

Multivariate time-series anomaly detection is critically important in many applications, including retail, transportation, power grid, and water treatment plants. Existing approaches for this problem mostly employ either statistical models…

机器学习 · 计算机科学 2023-11-17 Yu Zheng , Huan Yee Koh , Ming Jin , Lianhua Chi , Khoa T. Phan , Shirui Pan , Yi-Ping Phoebe Chen , Wei Xiang

Temporal data, obtained in the setting where it is only possible to observe one time point per experiment, is widely used in different research fields, yet remains insufficiently addressed from the statistical point of view. Such data often…

统计方法学 · 统计学 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

机器学习 · 计算机科学 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Background: It has been difficult to demonstrate circadian rhythm in the two parameters of heart rate turbulence, turbulence onset (TO) and turbulence slope (TS). Objective: To devise a new method for detecting circadian rhythm in noisy…

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

统计理论 · 数学 2019-12-23 Hai Shu , Bin Nan

In this paper, we develop a complete methodology for detecting time-varying/non time-varying parameters in ARCH processes. For this purpose, we estimate and test various semiparametric versions of the time-varying ARCH model (tv-ARCH) which…

统计理论 · 数学 2016-11-04 Lionel Truquet

Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

机器学习 · 统计学 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. To this…

统计金融 · 定量金融 2022-11-03 Mostafa Shabani , Martin Magris , George Tzagkarakis , Juho Kanniainen , Alexandros Iosifidis

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

统计方法学 · 统计学 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

神经元与认知 · 定量生物学 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

This paper has two messages. First, we demonstrate that neural networks that process noisy data can learn to exploit, when available, access to auxiliary noise that is correlated with the noise on the data. In effect, the network learns to…

量子物理 · 物理学 2020-09-17 Aida Ahmadzadegan , Petar Simidzija , Ming Li , Achim Kempf

Temporal Graph Learning, which aims to model the time-evolving nature of graphs, has gained increasing attention and achieved remarkable performance recently. However, in reality, graph structures are often incomplete and noisy, which…

机器学习 · 计算机科学 2023-08-16 Haozhen Zhang , Xueting Han , Xi Xiao , Jing Bai

The analysis of electrical impulse phenomena in cardiac muscle tissue is important for the diagnosis of heart rhythm disorders and other cardiac pathophysiology. Cardiac mapping techniques acquire local temporal measurements and combine…

医学物理 · 物理学 2022-03-21 Jan Lebert , Namita Ravi , Flavio Fenton , Jan Christoph

Dynamical decoupling techniques constitute an integral part of many quantum sensing platforms, often leading to orders-of-magnitude improvements in coherence time and sensitivity. Most AC sensing sequences involve a periodic echo-like…

Real-time analysis and classification of bio-signals measured using wearable devices is computationally costly and requires dedicated low-power hardware. One promising approach is to use spiking neural networks implemented using in-memory…

信号处理 · 电气工程与系统科学 2022-09-07 Stefan Gerber , Marc Steiner , Maryada , Giacomo Indiveri , Elisa Donati

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

统计力学 · 物理学 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

We introduce the concept of coherent temporal imaging and its combination with the anamorphic stretch transform. The new system can measure both temporal profile of fast waveforms as well as their spectrum in real time and at…

光学 · 物理学 2013-11-05 Mohammad H. Asghari , Bahram Jalali

Hallucinations can be produced by conversational AI systems, particularly in multi-turn conversations where context changes and contradictions may eventually surface. By representing the entire conversation as a temporal graph, we present a…

计算与语言 · 计算机科学 2026-01-07 Vidhi Rathore , Sambu Aneesh , Himanshu Singh

Pulsar timing observations are usually analysed with least-square-fitting procedures under the assumption that the timing residuals are uncorrelated (statistically "white"). Pulsar observers are well aware that this assumption often breaks…

天体物理仪器与方法 · 物理学 2015-05-28 W. Coles , G. Hobbs , D. J. Champion , R. N. Manchester , J. P. W. Verbiest