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Diffusion models have recently been increasingly applied to temporal data such as video, fluid mechanics simulations, or climate data. These methods generally treat subsequent frames equally regarding the amount of noise in the diffusion…

Machine Learning · Computer Science 2024-09-10 David Ruhe , Jonathan Heek , Tim Salimans , Emiel Hoogeboom

Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Time series analysis by state-space models is widely used in forecasting and extracting unobservable components like level, slope, and seasonality, along with explanatory variables. However, their reliance on traditional Kalman filtering…

Machine Learning · Statistics 2024-08-20 André Ramos , Davi Valladão , Alexandre Street

The purpose of time series analysis via mechanistic models is to reconcile the known or hypothesized structure of a dynamical system with observations collected over time. We develop a framework for constructing nonlinear mechanistic models…

Statistics Theory · Mathematics 2009-06-08 Carles Bretó , Daihai He , Edward L. Ionides , Aaron A. King

Currently, machine learning is widely used across various domains, including time series data analysis. However, some machine learning models function as black boxes, making interpretability a critical concern. One approach to address this…

Machine Learning · Computer Science 2025-12-01 Keita Kinjo

Discrete event sequences serve as models for numerous real-world datasets, including publications over time, project milestones, and medication dosing during patient treatments. These event sequences typically exhibit bursty behavior, where…

Human-Computer Interaction · Computer Science 2025-07-24 Yuet Ling Wong , Niklas Elmqvist

We propose a method for adaptive nonlinear sequential modeling of vector-time series data. Data is modeled as a nonlinear function of past values corrupted by noise, and the underlying non-linear function is assumed to be approximately…

Methodology · Statistics 2017-10-11 Qiuyi Han , Jie Ding , Edoardo Airoldi , Vahid Tarokh

In this paper, we are concerned with improving the forecast capabilities of the Global approach to Time Series. We assume that the normal techniques of Global mapping are applied, the noise reduction is performed, etc. Then, using the…

Mathematical Physics · Physics 2009-11-11 L. M. C. R. Barbosa , L. G. S. Duarte , C. A. Linhares , L. A. C. P. da Mota

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

Machine Learning · Computer Science 2021-09-28 Fatoumata Dama , Christine Sinoquet

Although most transformer-based time series forecasting models primarily depend on endogenous inputs, recent state-of-the-art approaches have significantly improved performance by incorporating external information through exogenous inputs.…

Machine Learning · Computer Science 2025-07-09 Mustafa Kamal , Niyaz Bin Hashem , Robin Krambroeckers , Nabeel Mohammed , Shafin Rahman

Time series modeling and forecasting has fundamental importance to various practical domains. Thus a lot of active research works is going on in this subject during several years. Many important models have been proposed in literature for…

Machine Learning · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

Continuous-time series is essential for different modern application areas, e.g. healthcare, automobile, energy, finance, Internet of things (IoT) and other related areas. Different application needs to process as well as analyse a massive…

Machine Learning · Computer Science 2024-09-17 Mansura Habiba , Barak A. Pearlmutter , Mehrdad Maleki

Deep Learning (DL) models can be used to tackle time series analysis tasks with great success. However, the performance of DL models can degenerate rapidly if the data are not appropriately normalized. This issue is even more apparent when…

Computational Finance · Quantitative Finance 2019-09-24 Nikolaos Passalis , Anastasios Tefas , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Time series data, defined by equally spaced points over time, is essential in fields like medicine, telecommunications, and energy. Analyzing it involves tasks such as classification, clustering, prototyping, and regression. Classification…

Machine Learning · Computer Science 2025-02-27 Ali Ismail-Fawaz

Recent state-of-the-art forecasting methods are trained on collections of time series. These methods, often referred to as global models, can capture common patterns in different time series to improve their generalization performance.…

Machine Learning · Computer Science 2024-04-30 Vitor Cerqueira , Nuno Moniz , Ricardo Inácio , Carlos Soares

Time series forecasting has important applications across diverse domains. EasyTime, the system we demonstrate, facilitates easy use of time-series forecasting methods by researchers and practitioners alike. First, EasyTime enables…

This paper presents an approach to analyzing two-dimensional temporal datasets focusing on identifying observations that are significant in calculating the outliers of a scatterplot. We also propose a prototype, called Outliagnostics, to…

Human-Computer Interaction · Computer Science 2019-10-31 Vung Pham , Tommy Dang

The observable time delays between the multiple images of strong lensing systems with time variable sources can provide us with some valuable information to probe the expansion history of the Universe. Estimation of these time delays can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amir Aghamousa , Arman Shafieloo

Time-series anomaly detection is a popular topic in both academia and industrial fields. Many companies need to monitor thousands of temporal signals for their applications and services and require instant feedback and alerts for potential…

Machine Learning · Computer Science 2020-09-10 Yuanxiang Ying , Juanyong Duan , Chunlei Wang , Yujing Wang , Congrui Huang , Bixiong Xu

Coping with outliers contaminating dynamical processes is of major importance in various applications because mismatches from nominal models are not uncommon in practice. In this context, the present paper develops novel fixed-lag and…

Systems and Control · Computer Science 2018-11-29 Shahrokh Farahmand , Georgios B. Giannakis , Daniele Angelosante