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High-dimensional financial time series often exhibit complex dependence relations driven by both common market structures and latent connections among assets. To capture these characteristics, this paper proposes Factor-Driven Network…

Methodology · Statistics 2025-11-27 Brendan Martin , Mihai Cucuringu , Alessandra Luati , Francesco Sanna Passino

A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty…

Machine Learning · Statistics 2018-12-04 Danielle C. Maddix , Yuyang Wang , Alex Smola

We propose Significance-Offset Convolutional Neural Network, a deep convolutional network architecture for regression of multivariate asynchronous time series. The model is inspired by standard autoregressive (AR) models and gating…

Machine Learning · Computer Science 2018-06-13 Mikołaj Bińkowski , Gautier Marti , Philippe Donnat

The demand of probabilistic time series forecasting has been recently raised in various dynamic system scenarios, for example, system identification and prognostic and health management of machines. To this end, we combine the advances in…

Machine Learning · Computer Science 2022-05-25 Haitao Liu , Changjun Liu , Xiaomo Jiang , Xudong Chen , Shuhua Yang , Xiaofang Wang

While widely recognized as one of the most substantial weather forecasting methodologies, Numerical Weather Prediction (NWP) usually suffers from relatively coarse resolution and inevitable bias due to tempo-spatial discretization, physical…

Atmospheric and Oceanic Physics · Physics 2023-12-21 Pengwei Liu , Wenwei Wang , Bingqing Peng , Binqing Wu , Liang Sun

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

Gaussian processes are widely used for the analysis of spatial data due to their nonparametric flexibility and ability to quantify uncertainty, and recently developed scalable approximations have facilitated application to massive datasets.…

Methodology · Statistics 2021-10-13 F. William Townes , Barbara E. Engelhardt

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

Deep Neural Networks have spearheaded remarkable advancements in time series forecasting (TSF), one of the major tasks in time series modeling. Nonetheless, the non-stationarity of time series undermines the reliability of pre-trained…

Machine Learning · Computer Science 2025-01-10 HyunGi Kim , Siwon Kim , Jisoo Mok , Sungroh Yoon

Recent studies have shown that by introducing prior knowledge, multi-scale analysis of complex and non-stationary time series in real environments can achieve good results in the field of long-term forecasting. However, affected by…

Machine Learning · Computer Science 2025-05-26 Bin Wang , Heming Yang , Jinfang Sheng

Time series foundation models (TSFMs) have recently achieved strong zero-shot forecasting performance through large-scale pretraining and retrieval-augmented prediction. However, our empirical analysis reveals a non-trivial limitation of…

Machine Learning · Computer Science 2026-05-26 Jinjin Chi , Lei Feng , Lulu Zhang , Yongcheng Jing , Yiming Wang , Ximing Li , Jialie Shen , Leszek Rutkowski , Dacheng Tao

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

We propose a regularized factor-augmented vector autoregressive (FAVAR) model that allows for sparsity in the factor loadings. In this framework, factors may only load on a subset of variables which simplifies the factor identification and…

Econometrics · Economics 2019-12-13 Maurizio Daniele , Julie Schnaitmann

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Integrating deep learning with latent state space models has the potential to yield temporal models that are powerful, yet tractable and interpretable. Unfortunately, current models are not designed to handle missing data or multiple data…

Machine Learning · Computer Science 2019-11-25 Tan Zhi-Xuan , Harold Soh , Desmond C. Ong

Multivariate time series forecasting tasks are usually conducted in a channel-dependent (CD) way since it can incorporate more variable-relevant information. However, it may also involve a lot of irrelevant variables, and this even leads to…

Machine Learning · Computer Science 2024-05-15 Qinshuo Liu , Yanwen Fang , Pengtao Jiang , Guodong Li

While most time series are non-stationary, it is inevitable for models to face the distribution shift issue in time series forecasting. Existing solutions manipulate statistical measures (usually mean and std.) to adjust time series…

Machine Learning · Computer Science 2024-07-02 Wei Fan , Kun Yi , Hangting Ye , Zhiyuan Ning , Qi Zhang , Ning An

A novel deep neural network framework -- that we refer to as Deep Dynamic Factor Model (D$^2$FM) --, is able to encode the information available, from hundreds of macroeconomic and financial time-series into a handful of unobserved latent…

Econometrics · Economics 2023-05-23 Paolo Andreini , Cosimo Izzo , Giovanni Ricco

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

Data assimilation is a fundamental task in updating forecasting models upon observing new data, with applications ranging from weather prediction to online reinforcement learning. Deep generative forecasting models (DGFMs) have shown…

Machine Learning · Statistics 2025-11-25 Shreya Sinha-Roy , Richard G. Everitt , Christian P. Robert , Ritabrata Dutta