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To the naked eye, stock prices are considered chaotic, dynamic, and unpredictable. Indeed, it is one of the most difficult forecasting tasks that hundreds of millions of retail traders and professional traders around the world try to do…

Computational Finance · Quantitative Finance 2025-02-17 Shuozhe Li , Zachery B Schulwol , Risto Miikkulainen

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Recently, the superiority of Transformer for long-term time series forecasting (LTSF) tasks has been challenged, particularly since recent work has shown that simple models can outperform numerous Transformer-based approaches. This suggests…

Machine Learning · Computer Science 2023-10-10 Shengsheng Lin , Weiwei Lin , Wentai Wu , Songbo Wang , Yongxiang Wang

Due to the non-stationary nature, the distribution of real-world multivariate time series (MTS) changes over time, which is known as distribution drift. Most existing MTS forecasting models greatly suffer from distribution drift and degrade…

Machine Learning · Computer Science 2024-04-03 Hui He , Qi Zhang , Kun Yi , Kaize Shi , Zhendong Niu , Longbing Cao

Irregular multivariate time series (IMTS) are prevalent in critical domains like healthcare and finance, where accurate forecasting is vital for proactive decision-making. However, the asynchronous sampling and irregular intervals inherent…

Machine Learning · Computer Science 2026-03-16 Xvyuan Liu , Xiangfei Qiu , Hanyin Cheng , Xingjian Wu , Chenjuan Guo , Bin Yang , Jilin Hu

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

Machine Learning · Computer Science 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

Machine Learning · Statistics 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

Spatial nonstationarity, the location variance of features' statistical distributions, is ubiquitous in many natural settings. For example, in geological reservoirs rock matrix porosity varies vertically due to geomechanical compaction…

Machine Learning · Computer Science 2023-08-09 Lei Liu , Javier E. Santos , Maša Prodanović , Michael J. Pyrcz

Forecasting high-resolution land subsidence is a critical yet challenging task due to its complex, non-linear dynamics. While standard architectures like ConvLSTM often fail to model long-range dependencies, we argue that a more fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Wendong Yao , Binhua Huang , Soumyabrata Dev

Various probabilistic time series forecasting models have sprung up and shown remarkably good performance. However, the choice of model highly relies on the characteristics of the input time series and the fixed distribution that the model…

Machine Learning · Computer Science 2023-09-01 Yunyi Zhou , Zhixuan Chu , Yijia Ruan , Ge Jin , Yuchen Huang , Sheng Li

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

Spatiotemporal time series nowcasting should preserve temporal and spatial dynamics in the sense that generated new sequences from models respect the covariance relationship from history. Conventional feature extractors are built with deep…

Machine Learning · Computer Science 2022-01-19 Bo Feng , Geoffrey Fox

Taxi arrival time prediction is essential for building intelligent transportation systems. Traditional prediction methods mainly rely on extracting features from traffic maps, which cannot model complex situations and nonlinear spatial and…

Machine Learning · Computer Science 2021-10-01 ZiChuan Liu , Zhaoyang Wu , Meng Wang , Rui Zhang

Forecasting Multivariate Time Series (MTS) involves significant challenges in various application domains. One immediate challenge is modeling temporal patterns with the finite length of the input. These temporal patterns usually involve…

Machine Learning · Computer Science 2024-09-30 Muyao Wang , Wenchao Chen , Zhibin Duan , Bo Chen

Industrial Multivariate Time Series (MTS) is a critical view of the industrial field for people to understand the state of machines. However, due to data collection difficulty and privacy concerns, available data for building industrial…

Machine Learning · Computer Science 2024-10-23 Lei Ren , Haiteng Wang , Yuanjun Laili

Hierarchical forecasting is a key problem in many practical multivariate forecasting applications - the goal is to simultaneously predict a large number of correlated time series that are arranged in a pre-specified aggregation hierarchy.…

Machine Learning · Computer Science 2021-10-13 Biswajit Paria , Rajat Sen , Amr Ahmed , Abhimanyu Das

In this paper, we use augmented the hierarchical latent variable model to model multi-period time series, where the dynamics of time series are governed by factors or trends in multiple periods. Previous methods based on stacked recurrent…

Neural and Evolutionary Computing · Computer Science 2018-10-25 Daniel Hsu

Recent research in time series forecasting has explored integrating multimodal features into models to improve accuracy. However, the accuracy of such methods is constrained by three key challenges: inadequate extraction of fine-grained…

Machine Learning · Computer Science 2025-10-21 Shule Hao , Junpeng Bao , Wenli Li

The key problem in multivariate time series (MTS) analysis and forecasting aims to disclose the underlying couplings between variables that drive the co-movements. Considerable recent successful MTS methods are built with graph neural…

Machine Learning · Computer Science 2022-10-11 Kun Yi , Qi Zhang , Liang Hu , Hui He , Ning An , LongBing Cao , ZhenDong Niu