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This paper presents an estimation method for time-varying graph signals among multiple sub-networks. In many sensor networks, signals observed are associated with nodes (i.e., sensors), and edges of the network represent the inter-node…

Signal Processing · Electrical Eng. & Systems 2024-09-18 Tsutahiro Fukuhara , Junya Hara , Hiroshi Higashi , Yuichi Tanaka

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

The assumption of using a static graph to represent multivariate time-varying signals oversimplifies the complexity of modeling their interactions over time. We propose a Dynamic Multi-hop model that captures dynamic interactions among…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yi Yan , Fengfan Zhao , Ercan Engin Kuruoglu

Inferring network topology from smooth signals is a significant problem in data science and engineering. A common challenge in real-world scenarios is the availability of only partially observed nodes. While some studies have considered…

Machine Learning · Computer Science 2025-07-08 Chuansen Peng , Hanning Tang , Zhiguo Wang , Xiaojing Shen

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Irregularly sampled time series data arise naturally in many application domains including biology, ecology, climate science, astronomy, and health. Such data represent fundamental challenges to many classical models from machine learning…

Machine Learning · Computer Science 2021-01-07 Satya Narayan Shukla , Benjamin M. Marlin

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

Time series interpretation aims to provide an explanation of what is observed in terms of its underlying processes. The present work is based on the assumption that the common classification-based approaches to time series interpretation…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix

Time series data can be subject to changes in the underlying process that generates them and, because of these changes, models built on old samples can become obsolete or perform poorly. In this work, we present a way to incorporate…

Machine Learning · Computer Science 2021-08-27 Jesus Antonanzas , Marta Arias , Albert Bifet

Time series data is ubiquitous in the real-world problems across various domains including healthcare, social media, and crime surveillance. Detecting anomalies, or irregular and rare events, in time series data, can enable us to find…

Machine Learning · Computer Science 2021-10-05 Abilasha S , Sahely Bhadra , Deepak P , Anish Mathew

Irregularly sampled multivariate time series are ubiquitous in various fields, particularly in healthcare, and exhibit two key characteristics: intra-series irregularity and inter-series discrepancy. Intra-series irregularity refers to the…

Machine Learning · Computer Science 2023-06-19 Jiawen Zhang , Shun Zheng , Wei Cao , Jiang Bian , Jia Li

Tipping points occur in many real-world systems, at which the system shifts suddenly from one state to another. The ability to predict the occurrence of tipping points from time series data remains an outstanding challenge and a major…

Machine Learning · Computer Science 2024-12-10 Chengzuo Zhuge , Jiawei Li , Wei Chen

For time series data observed at non-random and possibly non-equidistant time points, we estimate the trend function nonparametrically. Under the assumption of a bounded total variation of the function and low-order moment conditions on the…

Statistics Theory · Mathematics 2025-02-13 Michael H. Neumann , Anne Leucht

Time series forecasting is essential for agents to make decisions. Traditional approaches rely on statistical methods to forecast given past numeric values. In practice, end-users often rely on visualizations such as charts and plots to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Srijan Sood , Zhen Zeng , Naftali Cohen , Tucker Balch , Manuela Veloso

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

Probability · Mathematics 2017-12-05 J. Houssineau , D. E. Clark

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

Machine Learning · Statistics 2013-02-15 Azaden Khaleghi , Daniil Ryabko

Irregularly sampled time series analysis is a common problem in various disciplines. Since conventional methods are not directly applicable to irregularly sampled time series, a common interpolation approach is used; however, this causes…

Applications · Statistics 2022-04-11 Celik Ozdes , Deniz Eroglu

We address the problem of inferring the topology of a wireless network using limited observational data. Specifically, we assume that we can detect when a node is transmitting, but no further information regarding the transmission is…

Networking and Internet Architecture · Computer Science 2025-07-03 James Martin , Tristan Pryer , Luca Zanetti