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Seismic data contain complex temporal information that arrives at high speed and has a large, even potentially unbounded volume. The explosion of temporally correlated streaming data from advanced seismic sensors poses analytical challenges…

Methodology · Statistics 2025-09-26 Rui Xie , T. N. Sriram , Wei Biao Wu , Ping Ma

Anomaly detection of time series plays an important role in reliability systems engineering. However, in practical application, there is no precisely defined boundary between normal and anomalous behaviors in different application…

Machine Learning · Computer Science 2020-10-16 Ziling Wu , Ping Liu , Zheng Hu , Bocheng Li , Jun Wang

We introduce a novel method for online smoothing in state-space models that utilises a fixed-lag approximation to overcome the well known issue of path degeneracy. Unlike classical fixed-lag techniques that only approximate certain…

Methodology · Statistics 2022-03-22 Samuel Duffield , Sumeetpal S. Singh

Large companies need to monitor various metrics (for example, Page Views and Revenue) of their applications and services in real time. At Microsoft, we develop a time-series anomaly detection service which helps customers to monitor the…

Machine Learning · Computer Science 2019-06-11 Hansheng Ren , Bixiong Xu , Yujing Wang , Chao Yi , Congrui Huang , Xiaoyu Kou , Tony Xing , Mao Yang , Jie Tong , Qi Zhang

Time series are ubiquitous and occur naturally in a variety of applications -- from data recorded by sensors in manufacturing processes, over financial data streams to climate data. Different tasks arise, such as regression, classification…

Machine Learning · Computer Science 2024-09-17 Sebastian Wette , Florian Heinrichs

Online continual learning (OCL) methods adapt to changing environments without forgetting past knowledge. Similarly, online time series forecasting (OTSF) is a real-world problem where data evolve in time and success depends on both rapid…

Machine Learning · Computer Science 2026-01-21 Edoardo Urettini , Daniele Atzeni , Ioanna-Yvonni Tsaknaki , Antonio Carta

This paper is concerned with online time series forecasting, where unknown distribution shifts occur over time, i.e., latent variables influence the mapping from historical to future observations. To develop an automated way of online time…

Machine Learning · Computer Science 2025-10-22 Zijian Li , Changze Zhou , Minghao Fu , Sanjay Manjunath , Fan Feng , Guangyi Chen , Yingyao Hu , Ruichu Cai , Kun Zhang

In this paper we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic…

Optimization and Control · Mathematics 2023-07-24 Nicola Bastianello , Ruggero Carli , Sandro Zampieri

Predictive queries over spatiotemporal (ST) stream data pose significant data processing and analysis challenges. ST data streams involve a set of time series whose data distributions may vary in space and time, exhibiting multiple distinct…

Machine Learning · Statistics 2024-10-03 Anderson Chaves , Eduardo Ogasawara , Patrick Valduriez , Fabio Porto

We consider online detection strategies for identifying a change point in a stream of quantum particles allegedly prepared in identical states. We show that the identification of the change point can be done without error via sequential…

Quantum Physics · Physics 2018-11-07 Gael Sentís , Esteban Martínez-Vargas , Ramon Muñoz-Tapia

Optimization is an important module of modern machine learning applications. Tremendous efforts have been made to accelerate optimization algorithms. A common formulation is achieving a lower loss at a given time. This enables a…

Machine Learning · Computer Science 2025-05-29 Zhonglin Xie , Yiman Fong , Haoran Yuan , Zaiwen Wen

Time series is a special type of sequence data, a sequence of real-valued random variables collected at even intervals of time. The real-world multivariate time series comes with noises and contains complicated local and global temporal…

Machine Learning · Computer Science 2023-11-21 Site Mo , Haoxin Wang , Bixiong Li , Songhai Fan , Yuankai Wu , Xianggen Liu

Network representations have been effectively employed to analyze complex systems across various areas and applications, leading to the development of network science as a core tool to study systems with multiple components and complex…

Neurons and Cognition · Quantitative Biology 2023-07-25 ItaloIvo Lima Dias Pinto , Javier Omar Garcia , Kanika Bansal

Explainability in time series forecasting is essential for improving model transparency and supporting informed decision-making. In this work, we present CrossScaleNet, an innovative architecture that combines a patch-based cross-attention…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Ibrahim Delibasoglu , Fredrik Heintz

Real-world systems are often complex, dynamic, and nonlinear. Understanding the dynamics of a system from its observed time series is key to the prediction and control of the system's behavior. While most existing techniques tacitly assume…

Computation · Statistics 2015-05-19 Bing Wang , Jie Sun , Adilson E. Motter

Time series data is one of the most popular data modalities in critical domains such as industry and medicine. The demand for algorithms that not only exhibit high accuracy but also offer interpretability is crucial in such fields, as…

Machine Learning · Computer Science 2025-11-05 Bartłomiej Małkus , Szymon Bobek , Grzegorz J. Nalepa

Scaling feature values is an important step in numerous machine learning tasks. Different features can have different value ranges and some form of a feature scaling is often required in order to learn an accurate classifier. However,…

Machine Learning · Computer Science 2014-07-30 Danushka Bollegala

We present an efficient clustering algorithm applicable to one-dimensional data such as e.g. a series of timestamps. Given an expected frequency $\Delta T^{-1}$, we introduce an $\mathcal{O}(N)$-efficient method of characterizing $N$ events…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Conrad M Albrecht , Marcus Freitag , Theodore G van Kessel , Siyuan Lu , Hendrik F Hamann

Statistical Linkage Learning (SLL) is a part of many state-of-the-art optimizers. The purpose of SLL is to discover variable interdependencies. It has been shown that the effectiveness of SLL-using optimizers is highly dependent on the…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Michal Prusik , Bartosz Frej , Michal W. Przewozniczek

Sampling without replacement is a natural online rounding strategy for converting fractional bipartite matching into an integral one. In Online Bipartite Matching, we can use the Balance algorithm to fractionally match each online vertex,…

Data Structures and Algorithms · Computer Science 2024-10-10 Zhiyi Huang , Chui Shan Lee , Jianqiao Lu , Xinkai Shu
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