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While most ML models expect independent and identically distributed data, this assumption is often violated in real-world scenarios due to distribution shifts, resulting in the degradation of machine learning model performance. Until now,…

Machine Learning · Computer Science 2024-11-19 Kai Helli , David Schnurr , Noah Hollmann , Samuel Müller , Frank Hutter

Many of today's data is time-series data originating from various sources, such as sensors, transaction systems, or production systems. Major challenges with such data include privacy and business sensitivity. Generative time-series models…

Machine Learning · Computer Science 2024-06-19 David Bergström , Mattias Tiger , Fredrik Heintz

This paper introduces the MPS (Model Prediction Set), a novel framework for online model selection for nonstationary time series. Classical model selection methods, such as information criteria and cross-validation, rely heavily on the…

Machine Learning · Statistics 2026-01-29 Shibo Li , Yao Zheng

Traffic forecasting problem remains a challenging task in the intelligent transportation system due to its spatio-temporal complexity. Although temporal dependency has been well studied and discussed, spatial dependency is relatively less…

Machine Learning · Statistics 2021-05-27 Yuyol Shin , Yoonjin Yoon

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional…

Machine Learning · Statistics 2026-01-13 Rina Foygel Barber , Ashwin Pananjady

Non-stationarity is a fundamental challenge in multivariate long-term time series forecasting, often manifested as rapid changes in amplitude and phase. These variations lead to severe distribution shifts and consequently degrade predictive…

Machine Learning · Computer Science 2026-03-19 Yue Hu , Jialiang Tang , Siwei Yu , Baosheng Yu , Jing Zhang , Dacheng Tao

This paper considers regression tasks involving high-dimensional multivariate processes whose structure is dependent on some {known} graph topology. We put forth a new definition of time-vertex wide-sense stationarity, or joint stationarity…

Machine Learning · Computer Science 2019-07-09 Andreas Loukas , Nathanaël Perraudin

Multivariate time-series (MTS) forecasting is fundamental to applications ranging from urban mobility and resource management to climate modeling. While recent generative models based on denoising diffusion have advanced state-of-the-art…

Machine Learning · Computer Science 2025-11-21 Seyed Mohamad Moghadas , Bruno Cornelis , Adrian Munteanu

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

Pre-trained foundation models (FMs) have shown exceptional performance in univariate time series forecasting tasks. However, several practical challenges persist, including managing intricate dependencies among features and quantifying…

The imputation of the Multivariate time series (MTS) is particularly challenging since the MTS typically contains irregular patterns of missing values due to various factors such as instrument failures, interference from irrelevant data,…

Machine Learning · Computer Science 2025-04-04 Ye Su , Hezhe Qiao , Di Wu , Yuwen Chen , Lin Chen

In credit risk analysis, survival models with fixed and time-varying covariates are widely used to predict a borrower's time-to-event. When the time-varying drivers are endogenous, modelling jointly the evolution of the survival time and…

Risk Management · Quantitative Finance 2025-09-03 Victor Medina-Olivares , Finn Lindgren , Raffaella Calabrese , Jonathan Crook

A topological computation method, called the MGSTD method, is applied to time-series data obtained from meteorological measurement. The method gives decomposition of the dynamics into invariant sets and gradient-like transitions between…

Dynamical Systems · Mathematics 2019-05-31 Hidetoshi Morita , Masaru Inatsu , Hiroshi Kokubu

We propose a Bayesian nonparametric approach to the problem of jointly modeling multiple related time series. Our approach is based on the discovery of a set of latent, shared dynamical behaviors. Using a beta process prior, the size of the…

Methodology · Statistics 2011-11-21 Emily B. Fox , Erik B. Sudderth , Michael I. Jordan , Alan S. Willsky

Time series forecasting has widespread applications in urban life ranging from air quality monitoring to traffic analysis. However, accurate time series forecasting is challenging because real-world time series suffer from the distribution…

Machine Learning · Computer Science 2022-07-15 Wenying Duan , Xiaoxi He , Lu Zhou , Lothar Thiele , Hong Rao

Multivariate time series data, collected across various fields such as manufacturing and wearable technology, exhibit states at multiple levels of granularity, from coarse-grained system behaviors to fine-grained, detailed events.…

Machine Learning · Computer Science 2025-08-15 Ching Chang , Ming-Chih Lo , Wen-Chih Peng , Tien-Fu Chen

Spatial-temporal forecasting systems play a crucial role in addressing numerous real-world challenges. In this paper, we investigate the potential of addressing spatial-temporal forecasting problems using general time series forecasting…

The past few years have seen intensive research efforts carried out in some apparently unrelated areas of dynamic systems -- delay-tolerant networks, opportunistic-mobility networks, social networks -- obtaining closely related insights.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-20 Arnaud Casteigts , Paola Flocchini , Walter Quattrociocchi , Nicola Santoro

Big time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in various environments. Significant insights can be gained by mining temporal patterns from these time series. Temporal pattern mining…

Databases · Computer Science 2023-06-21 Van Long Ho , Nguyen Ho , Torben Bach Pedersen , Panagiotis Papapetrou