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We introduce an interpretable deep learning model for multivariate time series forecasting that prioritizes both predictive performance and interpretability - key requirements for understanding complex physical phenomena. Our model not only…

Machine Learning · Statistics 2025-01-28 Davor Horvatic , Domjan Baric

This work contributes to the development of neural forecasting models with novel randomization-based learning methods. These methods improve the fitting abilities of the neural model, in comparison to the standard method, by generating…

Machine Learning · Computer Science 2021-07-06 Grzegorz Dudek

Multivariate time-series (MTS) anomaly detection is critical in domains such as service monitor, IoT, and network security. While multi-model methods based on selection or ensembling outperform single-model ones, they still face…

Machine Learning · Computer Science 2026-01-06 Wei Hu , Zewei Yu , Jianqiu Xu

Multivariate time series are ubiquitous objects in signal processing. Measuring a distance or similarity between two such objects is of prime interest in a variety of applications, including machine learning, but can be very difficult as…

Machine Learning · Statistics 2022-11-02 Titouan Vayer , Romain Tavenard , Laetitia Chapel , Nicolas Courty , Rémi Flamary , Yann Soullard

Correlations between factors of variation are prevalent in real-world data. Exploiting such correlations may increase predictive performance on noisy data; however, often correlations are not robust (e.g., they may change between domains,…

Machine Learning · Computer Science 2022-12-26 Christina M. Funke , Paul Vicol , Kuan-Chieh Wang , Matthias Kümmerer , Richard Zemel , Matthias Bethge

Long-term time series forecasting plays a pivotal role in various real-world applications. Despite recent advancements and the success of different architectures, forecasting is often challenging due to non-stationary nature of the…

Machine Learning · Computer Science 2025-12-29 Mert Sonmezer , Seyda Ertekin

Multistage stochastic programming provides a modeling framework for sequential decision-making problems that involve uncertainty. One typically overlooked aspect of this methodology is how uncertainty is incorporated into modeling.…

Optimization and Control · Mathematics 2021-09-24 Juyoung Wang , Mucahit Cevik , Merve Bodur

Time-series forecasting is one of the most active research topics in artificial intelligence. Applications in real-world time series should consider two factors for achieving reliable predictions: modeling dynamic dependencies among…

Machine Learning · Computer Science 2021-05-28 Gabriel Spadon , Shenda Hong , Bruno Brandoli , Stan Matwin , Jose F. Rodrigues-Jr , Jimeng Sun

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

Irregular multivariate time series (IMTS) are characterized by irregular time intervals within variables and unaligned observations across variables, posing challenges in learning temporal and variable dependencies. Many existing IMTS…

Machine Learning · Computer Science 2025-05-26 Boyuan Li , Yicheng Luo , Zhen Liu , Junhao Zheng , Jianming Lv , Qianli Ma

Vision Transformers face a fundamental limitation: standard self-attention jointly processes spatial and channel dimensions, leading to entangled representations that prevent independent modeling of structural and semantic dependencies.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Jiashu Liao , Pietro Liò , Marc de Kamps , Duygu Sarikaya

Forecasting with multivariate time series, which aims to predict future values given previous and current several univariate time series data, has been studied for decades, with one example being ARIMA. Because it is difficult to measure…

Artificial Intelligence · Computer Science 2020-10-19 Youngjin Park , Deokjun Eom , Byoungki Seo , Jaesik Choi

When deploying time series forecasting models based on machine learning to real world settings, one often encounter situations where the data distribution drifts. Such drifts expose the forecasting models to out-of-distribution (OOD) data,…

Multivariate time-series (MTS) forecasting is a challenging task in many real-world non-stationary dynamic scenarios. In addition to intra-series temporal signals, the inter-series dependency also plays a crucial role in shaping future…

Machine Learning · Computer Science 2023-12-29 Weijun Chen , Heyuan Wang , Ye Tian , Shijie Guan , Ning Liu

Predicting time-series is of great importance in various scientific and engineering fields. However, in the context of limited and noisy data, accurately predicting dynamics of all variables in a high-dimensional system is a challenging…

Machine Learning · Computer Science 2025-06-16 Zijian Wang , Peng Tao , Luonan Chen

Multivariate time-series analysis involves extracting informative representations from sequences of multiple interdependent variables, supporting tasks such as forecasting, imputation, and anomaly detection. In real-world scenarios, these…

Machine Learning · Computer Science 2026-05-19 Israel Zexer , Omri Azencot

In practical time series forecasting, covariates provide rich contextual information that can potentially enhance the forecast of target variables. Although some covariates extend into the future forecasting horizon (e.g., calendar events,…

Machine Learning · Computer Science 2025-08-07 Yosuke Yamaguchi , Issei Suemitsu , Wenpeng Wei

Multivariate time series forecasting has seen widely ranging applications in various domains, including finance, traffic, energy, and healthcare. To capture the sophisticated temporal patterns, plenty of research studies designed complex…

Machine Learning · Computer Science 2022-07-05 Tianping Zhang , Yizhuo Zhang , Wei Cao , Jiang Bian , Xiaohan Yi , Shun Zheng , Jian Li

The influence function serves as an efficient post-hoc interpretability tool that quantifies the impact of training data modifications on model parameters, enabling enhanced model performance, improved generalization, and interpretability…

Machine Learning · Computer Science 2025-10-21 Muyao Wang , Zeke Xie , Bo Chen , Hongwei Liu , James Kwok

Multimodal fusion and multitask learning are two vital topics in machine learning. Despite the fruitful progress, existing methods for both problems are still brittle to the same challenge -- it remains dilemmatic to integrate the common…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Yikai Wang , Fuchun Sun , Wenbing Huang , Fengxiang He , Dacheng Tao