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We formulate a new inference task in the domain of multivariate time series forecasting (MTSF), called Variable Subset Forecast (VSF), where only a small subset of the variables is available during inference. Variables are absent during…

Machine Learning · Computer Science 2022-06-28 Jatin Chauhan , Aravindan Raghuveer , Rishi Saket , Jay Nandy , Balaraman Ravindran

The majority of real-world processes are spatiotemporal, and the data generated by them exhibits both spatial and temporal evolution. Weather is one of the most essential processes in this domain, and weather forecasting has become a…

Machine Learning · Computer Science 2024-09-24 Shakir Showkat Sofi , Ivan Oseledets

We present a general theoretical analysis of structured prediction with a series of new results. We give new data-dependent margin guarantees for structured prediction for a very wide family of loss functions and a general family of…

Machine Learning · Statistics 2016-12-02 Corinna Cortes , Mehryar Mohri , Vitaly Kuznetsov , Scott Yang

Time series prediction aims to predict future values to help stakeholders make proper strategic decisions. This problem is relevant in all industries and areas, ranging from financial data to demand to forecast. However, it remains…

Applications · Statistics 2020-09-09 Aleksandr Pletnev , Rodrigo Rivera-Castro , Evgeny Burnaev

In this paper, we introduce TimeGPT, the first foundation model for time series, capable of generating accurate predictions for diverse datasets not seen during training. We evaluate our pre-trained model against established statistical,…

Machine Learning · Computer Science 2024-05-29 Azul Garza , Cristian Challu , Max Mergenthaler-Canseco

For joint inference over multiple variables, a variety of structured prediction techniques have been developed to model correlations among variables and thereby improve predictions. However, many classical approaches suffer from one of two…

Machine Learning · Computer Science 2020-01-07 Colin Graber , Alexander Schwing

Diffusion models have shown promise in forecasting future data from multivariate time series. However, few existing methods account for recurring structures, or patterns, that appear within the data. We present Pattern-Guided Diffusion…

Machine Learning · Computer Science 2025-12-17 Vivian Lin , Kuk Jin Jang , Wenwen Si , Insup Lee

Time series with long-term structure arise in a variety of contexts and capturing this temporal structure is a critical challenge in time series analysis for both inference and forecasting settings. Traditionally, state space models have…

Machine Learning · Statistics 2020-06-12 Anna K. Yanchenko , Sayan Mukherjee

Dynamical systems are often time-varying, whose modeling requires a function that evolves with respect to time. Recent studies such as the neural ordinary differential equation proposed a time-dependent neural network, which provides a…

Machine Learning · Computer Science 2024-05-24 Bum Jun Kim , Yoshinobu Kawahara , Sang Woo Kim

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Predicting causal structure from time series data is crucial for understanding complex phenomena in physiology, brain connectivity, climate dynamics, and socio-economic behaviour. Causal discovery in time series is hindered by the…

Machine Learning · Computer Science 2026-01-06 Pedro P. Sanchez , Damian Machlanski , Steven McDonagh , Sotirios A. Tsaftaris

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

The multivariate time series forecasting has attracted more and more attention because of its vital role in different fields in the real world, such as finance, traffic, and weather. In recent years, many research efforts have been proposed…

Machine Learning · Computer Science 2021-09-15 Wentao Xu , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

Time series foundation models have recently gained a lot of attention due to their ability to model complex time series data encompassing different domains including traffic, energy, and weather. Although they exhibit strong average…

Machine Learning · Computer Science 2026-01-21 Shivani Tomar , Seshu Tirupathi , Elizabeth Daly , Ivana Dusparic

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

Structured variational inference constitutes a core methodology in modern statistical applications. Unlike mean-field variational inference, the approximate posterior is assumed to have interdependent structure. We consider the natural…

Machine Learning · Statistics 2025-11-14 Shunan Sheng , Bohan Wu , Bennett Zhu , Sinho Chewi , Aram-Alexandre Pooladian

Time evolving surfaces can be modeled as two-dimensional Functional time series, exploiting the tools of Functional data analysis. Leveraging this approach, a forecasting framework for such complex data is developed. The main focus revolves…

Methodology · Statistics 2023-07-19 Niccolò Ajroldi , Jacopo Diquigiovanni , Matteo Fontana , Simone Vantini

Imputation methods play a critical role in enhancing the quality of practical time-series data, which often suffer from pervasive missing values. Recently, diffusion-based generative imputation methods have demonstrated remarkable success…

Machine Learning · Computer Science 2025-10-03 Zeqi Ye , Minshuo Chen

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Study of time series data often involves measuring the strength of temporal dependence, on which statistical properties like consistency and central limit theorem are built. Historically, various dependence measures have been proposed. In…

Statistics Theory · Mathematics 2019-07-16 Fang Han , Weibiao Wu
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