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In applications of nonlinear and complex dynamical systems, a common situation is that the system can be measured but its structure and the detailed rules of dynamical evolution are unknown. The inverse problem is to determine the system…

Dynamical Systems · Mathematics 2021-09-15 Ying-Cheng Lai

Systems with stochastic time delay between the input and output present a number of unique challenges. Time domain noise leads to irregular alignments, obfuscates relationships and attenuates inferred coefficients. To handle these…

Methodology · Statistics 2021-11-15 Juan Camilo Orduz , Aaron Pickering

In the light of regularized dynamic time warping kernels, this paper re-considers the concept of time elastic centroid for a setof time series. We derive a new algorithm based on a probabilistic interpretation of kernel alignment matrices.…

Machine Learning · Computer Science 2019-07-12 Pierre-François Marteau

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

Machine Learning · Computer Science 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

We propose a new approach for properly analyzing stochastic time series by mapping the dynamics of time series fluctuations onto a suitable nonequilibrium surface-growth problem. In this framework, the fluctuation sampling time interval…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Alexander S. Balankin

Observations made in continuous time are often irregular and contain the missing values across different channels. One approach to handle the missing data is imputing it using splines, by fitting the piecewise polynomials to the observed…

Machine Learning · Computer Science 2022-10-20 Marin Biloš , Emanuel Ramneantu , Stephan Günnemann

Time-series anomaly detection deals with the problem of detecting anomalous timesteps by learning normality from the sequence of observations. However, the concept of normality evolves over time, leading to a "new normal problem", where the…

Machine Learning · Computer Science 2024-01-23 Dongmin Kim , Sunghyun Park , Jaegul Choo

Complex distribution shifts are the main obstacle to achieving accurate long-term time series forecasting. Several efforts have been conducted to capture the distribution characteristics and propose adaptive normalization techniques to…

Machine Learning · Computer Science 2024-10-01 Dalin Qin , Yehui Li , Weiqi Chen , Zhaoyang Zhu , Qingsong Wen , Liang Sun , Pierre Pinson , Yi Wang

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

Machine Learning · Computer Science 2023-09-26 Iñigo Martinez

In the transformative landscape of smart cities, the integration of the cutting-edge web technologies into time series forecasting presents a pivotal opportunity to enhance urban planning, sustainability, and economic growth. The…

Machine Learning · Computer Science 2024-05-10 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Tree-based models have been successfully applied to a wide variety of tasks, including time series forecasting. They are increasingly in demand and widely accepted because of their comparatively high level of interpretability. However, many…

Machine Learning · Computer Science 2024-01-03 Matthias Jakobs , Amal Saadallah

Time series forecasting plays a crucial role in many real-world applications, and numerous complex forecasting models have been proposed in recent years. Despite their architectural innovations, most state-of-the-art models report only…

Machine Learning · Computer Science 2025-05-28 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan

Time series forecasting has become an increasingly popular research area due to its critical applications in various real-world domains such as traffic management, weather prediction, and financial analysis. Despite significant…

Machine Learning · Computer Science 2024-08-22 Ninghui Feng , Songning Lai , Jiayu Yang , Fobao Zhou , Zhenxiao Yin , Hang Zhao

This paper develops forecasting methodology and application of new classes of dynamic models for time series of non-negative counts. Novel univariate models synthesise dynamic generalized linear models for binary and conditionally Poisson…

Methodology · Statistics 2022-06-07 Lindsay Berry , Mike West

Time series anomaly detection forms a very crucial area in several domains but poses substantial challenges. Due to time series data possessing seasonality, trends, noise, and evolving patterns (concept drift), it becomes very difficult to…

Machine Learning · Computer Science 2025-10-07 Yadav Mahesh Lorik , Kaushik Sarveswaran , Nagaraj Sundaramahalingam , Aravindakumar Venugopalan

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

This paper proposes a method for machine learning from unlabeled data in the form of a time-series. The mapping that is learned is shown to extract slowly evolving information that would be useful for control applications, while efficiently…

Machine Learning · Computer Science 2019-05-09 Per Rutquist

Time-series forecasting remains difficult in real-world settings because temporal patterns operate at multiple scales, from broad contextual trends to fast, fine-grained fluctuations that drive critical decisions. Existing neural models…

Machine Learning · Computer Science 2025-11-26 Sepideh Koohfar

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

Machine Learning · Computer Science 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis
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