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This paper introduces a new methodology for detecting anomalies in time series data, with a primary application to monitoring the health of (micro-) services and cloud resources. The main novelty in our approach is that instead of modeling…

Machine Learning · Computer Science 2020-07-31 Fadhel Ayed , Lorenzo Stella , Tim Januschowski , Jan Gasthaus

This study introduces a novel approach to forecasting by Tobit Exponential Smoothing with time aggregation constraints. This model, a particular case of the Tobit Innovations State Space system, handles censored observed time series…

Methodology · Statistics 2024-09-10 Diego J. Pedregal , Juan R. Trapero

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

Statistics Theory · Mathematics 2015-03-19 Yingcun Xia , Howell Tong

This paper proposes a method for modeling event sequences with ambiguous timestamps, a time-discounting convolution. Unlike in ordinary time series, time intervals are not constant, small time-shifts have no significant effect, and…

Machine Learning · Computer Science 2018-12-07 Takayuki Katsuki , Takayuki Osogami , Akira Koseki , Masaki Ono , Michiharu Kudo , Masaki Makino , Atsushi Suzuki

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

Process analytics is an umbrella of data-driven techniques which includes making predictions for individual process instances or overall process models. At the instance level, various novel techniques have been recently devised, tackling…

Machine Learning · Computer Science 2021-07-29 Johannes De Smedt , Anton Yeshchenko , Artem Polyvyanyy , Jochen De Weerdt , Jan Mendling

In many fields of application, dynamic processes that evolve through time are well described by systems of ordinary differential equations (ODEs). The analytical solution of the ODEs is often not available and different methods have been…

Methodology · Statistics 2017-07-19 Saverio Ranciati , Cinzia Viroli , Ernst Wit

In high-dimensional linear regression, the goal pursued here is to estimate an unknown regression function using linear combinations of a suitable set of covariates. One of the key assumptions for the success of any statistical procedure in…

Statistics Theory · Mathematics 2015-03-13 Philippe Rigollet , Alexandre Tsybakov

Time series forecasting is essential for many practical applications, with the adoption of transformer-based models on the rise due to their impressive performance in NLP and CV. Transformers' key feature, the attention mechanism,…

Machine Learning · Computer Science 2024-02-09 PeiSong Niu , Tian Zhou , Xue Wang , Liang Sun , Rong Jin

Energy systems modeling frequently relies on time series data, whether observed or forecast. This is particularly the case, for example, in capacity planning models that use hourly production and load data forecast to occur over the coming…

Computation · Statistics 2025-02-13 Kelly Wang , Steven O. Kimbrough

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

Machine Learning · Computer Science 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding, modeling and forecasting purposes. In…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Lucas Lacasa , Raul Toral

Time series forecasting is a fundamental tool with wide ranging applications, yet recent debates question whether complex nonlinear architectures truly outperform simple linear models. Prior claims of dominance of the linear model often…

Machine Learning · Computer Science 2026-02-13 Md Rakibul Haque , Vishwa Goudar , Shireen Elhabian , Warren Woodrich Pettine

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

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

Previous research has indicated that deep neural network based models for time series classification (TSC) tasks are prone to overfitting. This issue can be mitigated by employing strategies that prevent the model from becoming overly…

Machine Learning · Computer Science 2024-09-02 Hengyi Ma , Weitong Chen

Ensembling is a powerful technique for improving the accuracy of machine learning models, with methods like stacking achieving strong results in tabular tasks. In time series forecasting, however, ensemble methods remain underutilized, with…

Machine Learning · Computer Science 2025-11-20 Nathanael Bosch , Oleksandr Shchur , Nick Erickson , Michael Bohlke-Schneider , Caner Türkmen

Demand forecasting is a crucial component of demand management. While shortening the forecasting horizon allows for more recent data and less uncertainty, this frequently means lower data aggregation levels and a more significant data…

Machine Learning · Computer Science 2021-03-26 Jože M. Rožanec , Dunja Mladenić

Time series anomaly detection has applications in a wide range of research fields and applications, including manufacturing and healthcare. The presence of anomalies can indicate novel or unexpected events, such as production faults, system…

Machine Learning · Computer Science 2024-09-04 Zahra Zamanzadeh Darban , Geoffrey I. Webb , Shirui Pan , Charu C. Aggarwal , Mahsa Salehi

For the prediction with experts' advice setting, we construct forecasting algorithms that suffer loss not much more than any expert in the pool. In contrast to the standard approach, we investigate the case of long-term forecasting of time…

Machine Learning · Computer Science 2019-02-28 Alexander Korotin , Vladimir V'yugin , Evgeny Burnaev