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The matrix profile (MP) is a data structure computed from a time series which encodes the data required to locate motifs and discords, corresponding to recurring patterns and outliers respectively. When the time series contains noisy data…

机器学习 · 计算机科学 2023-06-21 Colin Hehir , Alan F. Smeaton

Recurrence networks are a powerful nonlinear tool for time series analysis of complex dynamical systems. {While there are already many successful applications ranging from medicine to paleoclimatology, a solid theoretical foundation of the…

数据分析、统计与概率 · 物理学 2012-04-12 Jonathan F. Donges , Jobst Heitzig , Reik V. Donner , Jürgen Kurths

Although the computational and statistical trade-off for modeling single graphs, for instance, using block models is relatively well understood, extending such results to sequences of graphs has proven to be difficult. In this work, we take…

机器学习 · 统计学 2018-09-19 Mehrnaz Amjadi , Theja Tulabandhula

Data sets obtained from linking multiple files are frequently affected by mismatch error, as a result of non-unique or noisy identifiers used during record linkage. Accounting for such mismatch error in downstream analysis performed on the…

统计方法学 · 统计学 2023-06-02 Martin Slawski , Brady T. West , Priyanjali Bukke , Guoqing Diao , Zhenbang Wang , Emanuel Ben-David

In multivariate time series systems, lead-lag relationships reveal dependencies between time series when they are shifted in time relative to each other. Uncovering such relationships is valuable in downstream tasks, such as control,…

统计金融 · 定量金融 2023-09-19 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

物理与社会 · 物理学 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

When musicians perform in an ensemble, synchronizing to a mutual pace is the foundation of their musical interaction. Clock generators, e.g., metronomes, or drum machines, might assist such synchronization, but these means, in general, will…

神经元与认知 · 定量生物学 2021-12-07 Simon Linke , Rolf Bader , Robert Mores

Data series motif discovery represents one of the most useful primitives for data series mining, with applications to many domains, such as robotics, entomology, seismology, medicine, and climatology, and others. The state-of-the-art motif…

数据库 · 计算机科学 2020-09-01 Michele Linardi , Yan Zhu , Themis Palpanas , Eamonn Keogh

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

机器学习 · 计算机科学 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

The lead-lag relationship plays a vital role in financial markets. It is the phenomenon where a certain price-series lags behind and partially replicates the movement of leading time-series. The present research proposes a new technique…

统计金融 · 定量金融 2020-05-12 Kartikay Gupta , Niladri Chatterjee

Human behavior modeling deals with learning and understanding behavior patterns inherent in humans' daily routines. Existing pattern mining techniques either assume human dynamics is strictly periodic, or require the number of modes as…

机器学习 · 计算机科学 2021-10-26 Rohan Kabra , Divya Saxena , Dhaval Patel , Jiannong Cao

Detecting repeating patterns of different lengths in time series, also called variable-length motifs, has received a great amount of attention by researchers and practitioners. Despite the significant progress that has been made in recent…

机器学习 · 计算机科学 2019-11-22 Yifeng Gao , Jessica Lin

Recent studies have shown great promise in applying graph neural networks for multivariate time series forecasting, where the interactions of time series are described as a graph structure and the variables are represented as the graph…

机器学习 · 计算机科学 2022-06-29 Junchen Ye , Zihan Liu , Bowen Du , Leilei Sun , Weimiao Li , Yanjie Fu , Hui Xiong

Capturing the interdependencies between real valued time series can be achieved by finding common similar patterns. The abstraction of time series makes the process of finding similarities closer to the way as humans do. Therefore, the…

人工智能 · 计算机科学 2016-12-20 Ibrahim Ozkan , I. Burhan Turksen

In multivariate time series systems, key insights can be obtained by discovering lead-lag relationships inherent in the data, which refer to the dependence between two time series shifted in time relative to one another, and which can be…

机器学习 · 统计学 2023-09-20 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

Given a log and a specification, timed pattern matching aims at exhibiting for which start and end dates a specification holds on that log. For example, "a given action is always followed by another action before a given deadline". This…

形式语言与自动机理论 · 计算机科学 2024-07-26 Masaki Waga , Étienne André , Ichiro Hasuo

The search for patterns or motifs in data represents an area of key interest to many researchers. In this paper we present the Motif Tracking Algorithm, a novel immune inspired pattern identification tool that is able to identify variable…

神经与进化计算 · 计算机科学 2013-06-03 William Wilson , Phil Birkin , Uwe Aickelin

We explore the use of a neural network inspired by predictive coding for modeling human music perception. This network was developed based on the computational neuroscience theory of recurrent interactions in the hierarchical visual cortex.…

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

机器学习 · 计算机科学 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

物理与社会 · 物理学 2016-01-11 Giuseppe Jurman