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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

Generative models for multivariate time series are essential for data augmentation, simulation, and privacy preservation, yet current state-of-the-art diffusion-based approaches are slow and limited to fixed-length windows. We propose…

Machine Learning · Computer Science 2025-11-10 Siyuan Li , Yifan Sun , Lei Cheng , Lewen Wang , Yang Liu , Weiqing Liu , Jianlong Li , Jiang Bian , Shikai Fang

Mixture autoregressive (MAR) models provide a flexible way to model time series with predictive distributions which depend on the recent history of the process and are able to accommodate asymmetry and multimodality. Bayesian inference for…

Methodology · Statistics 2020-06-22 Davide Ravagli , Georgi N. Boshnakov

Generative modeling offers a promising solution to data scarcity and privacy challenges in time series analysis. However, the structural complexity of time series, characterized by multi-scale temporal patterns and heterogeneous components,…

Machine Learning · Computer Science 2026-01-19 Xiangyu Xu , Qingsong Zhong , Jilin Hu

Generative models have demonstrated remarkable potential in time series analysis tasks, like synthesis, forecasting, imputation, etc. However, offering limited coverage for generative models, existing time series libraries are mainly…

Machine Learning · Computer Science 2026-05-20 Chenxi Wang , Xiaorong Wang , Peiyang Li , Yi Wang

Generating high-quality synthetic time series is a fundamental yet challenging task across domains such as forecasting and anomaly detection, where real data can be scarce, noisy, or costly to collect. Unlike static data generation,…

Machine Learning · Computer Science 2025-09-25 MohammadReza EskandariNasab , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Multivariate time series is a very active topic in the research community and many machine learning tasks are being used in order to extract information from this type of data. However, in real-world problems data has missing values, which…

Machine Learning · Computer Science 2019-03-26 Samuel Arcadinho , Paulo Mateus

Temporally indexed data are essential in a wide range of fields and of interest to machine learning researchers. Time series data, however, are often scarce or highly sensitive, which precludes the sharing of data between researchers and…

Machine Learning · Computer Science 2024-07-10 Alexander Nikitin , Letizia Iannucci , Samuel Kaski

New fast estimation methods stemming from control theory lead to a fresh look at time series, which bears some resemblance to "technical analysis". The results are applied to a typical object of financial engineering, namely the forecast of…

Applications · Statistics 2009-03-23 Michel Fliess , Cédric Join

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

Methodology · Statistics 2021-04-05 Zinsou Max Debaly , Lionel Truquet

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

For the challenging task of modeling multivariate time series, we propose a new class of models that use dependent Mat\'ern processes to capture the underlying structure of data, explain their interdependencies, and predict their unknown…

Machine Learning · Statistics 2015-02-13 Alexander Vandenberg-Rodes , Babak Shahbaba

Time series of matrix-valued data are increasingly available in various areas including economics, finance, social science, among others. These data may shed light on the inter-dynamical relationships between two sets of attributes, for…

Methodology · Statistics 2026-04-22 Fei Wu , Kung-Sik Chan

Forecasting on sparse multivariate time series (MTS) aims to model the predictors of future values of time series given their incomplete past, which is important for many emerging applications. However, most existing methods process MTS's…

Machine Learning · Computer Science 2021-03-04 Yinjun Wu , Jingchao Ni , Wei Cheng , Bo Zong , Dongjin Song , Zhengzhang Chen , Yanchi Liu , Xuchao Zhang , Haifeng Chen , Susan Davidson

In finance, economics and many other fields, observations in a matrix form are often generated over time. For example, a set of key economic indicators are regularly reported in different countries every quarter. The observations at each…

Methodology · Statistics 2019-07-25 Rong Chen , Han Xiao , Dan Yang

There is a need for the development of models that are able to account for discreteness in data, along with its time series properties and correlation. Our focus falls on INteger-valued AutoRegressive (INAR) type models. The INAR type…

Methodology · Statistics 2020-03-31 Tyler Roick , Dimitris Karlis , Paul D. McNicholas

Self-supervised Pretrained Models (PTMs) have demonstrated remarkable performance in computer vision and natural language processing tasks. These successes have prompted researchers to design PTMs for time series data. In our experiments,…

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz
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