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To enhance documentation and maintenance practices, developers conventionally establish links between related software artifacts manually. Empirical research has revealed that developers frequently overlook this practice, resulting in…

Software Engineering · Computer Science 2023-04-25 Maliheh Izadi , Pooya Rostami Mazrae , Tom Mens , Arie van Deursen

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

In this paper, we present a new approach to time series forecasting. Time series data are prevalent in many scientific and engineering disciplines. Time series forecasting is a crucial task in modeling time series data, and is an important…

Machine Learning · Computer Science 2020-01-24 Neo Wu , Bradley Green , Xue Ben , Shawn O'Banion

Time series forecasting is a subject of significant scientific and industrial importance. Despite the widespread utilization of forecasting methods, there is a dearth of research aimed at comprehending the conditions under which these…

Machine Learning · Computer Science 2024-10-23 Moisés Santos , André de Carvalho , Carlos Soares

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

Time Series Forecasting (TSF) is used to predict the target variables at a future time point based on the learning from previous time points. To keep the problem tractable, learning methods use data from a fixed length window in the past as…

Machine Learning · Computer Science 2022-04-26 Jimeng Shi , Mahek Jain , Giri Narasimhan

Probabilistic forecasting of high dimensional multivariate time series is a notoriously challenging task, both in terms of computational burden and distribution modeling. Most previous work either makes simple distribution assumptions or…

Machine Learning · Computer Science 2021-01-27 Nam Nguyen , Brian Quanz

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Transformers have achieved superior performances in many tasks in natural language processing and computer vision, which also triggered great interest in the time series community. Among multiple advantages of Transformers, the ability to…

Machine Learning · Computer Science 2023-05-15 Qingsong Wen , Tian Zhou , Chaoli Zhang , Weiqi Chen , Ziqing Ma , Junchi Yan , Liang Sun

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

Machine Learning · Computer Science 2021-09-28 Fatoumata Dama , Christine Sinoquet

Transformer-based models have greatly pushed the boundaries of time series forecasting recently. Existing methods typically encode time series data into $\textit{patches}$ using one or a fixed set of patch lengths. This, however, could…

Machine Learning · Computer Science 2024-02-09 Linfeng Du , Ji Xin , Alex Labach , Saba Zuberi , Maksims Volkovs , Rahul G. Krishnan

Modern data acquisition routinely produce massive amounts of event sequence data in various domains, such as social media, healthcare, and financial markets. These data often exhibit complicated short-term and long-term temporal…

Machine Learning · Computer Science 2021-02-23 Simiao Zuo , Haoming Jiang , Zichong Li , Tuo Zhao , Hongyuan Zha

Random feature attention (RFA) adopts random fourier feature (RFF) methods to approximate the softmax function, resulting in a linear time and space attention mechanism that enables the construction of an efficient Transformer. Inspired by…

Machine Learning · Computer Science 2024-08-22 Yuhan Guo , Lizhong Ding , Ye Yuan , Guoren Wang

We develop an estimator for the high-dimensional covariance matrix of a locally stationary process with a smoothly varying trend and use this statistic to derive consistent predictors in non-stationary time series. In contrast to the…

Methodology · Statistics 2020-01-08 Holger Dette , Weichi Wu

Long-term time series forecasting (LTSF) offers broad utility in practical settings like energy consumption and weather prediction. Accurately predicting long-term changes, however, is demanding due to the intricate temporal patterns and…

Machine Learning · Computer Science 2025-05-19 Boshi Gao , Qingjian Ni , Fanbo Ju , Yu Chen , Ziqi Zhao

Transformers have become the dominant architecture for sequence modeling tasks such as natural language processing or audio processing, and they are now even considered for tasks that are not naturally sequential such as image…

Machine Learning · Computer Science 2024-03-05 Jorg Bornschein , Yazhe Li , Amal Rannen-Triki

Transformer-based architectures have achieved remarkable success in natural language processing and computer vision. However, their performance in multivariate long-term forecasting often falls short compared to simpler linear baselines.…

Machine Learning · Computer Science 2025-07-09 Dizhen Liang

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

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning
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