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We introduce methods for obtaining pretrained Geometric Neural Operators (GNPs) that can serve as basal foundation models for use in obtaining geometric features. These can be used within data processing pipelines for machine learning tasks…

Machine Learning · Computer Science 2025-04-18 Blaine Quackenbush , Paul J. Atzberger

Deep learning has contributed remarkably to the advancement of time series analysis. Still, deep models can encounter performance bottlenecks in real-world data-scarce scenarios, which can be concealed due to the performance saturation with…

Machine Learning · Computer Science 2024-10-21 Yong Liu , Haoran Zhang , Chenyu Li , Xiangdong Huang , Jianmin Wang , Mingsheng Long

Time series are the primary data type used to record dynamic system measurements and generated in great volume by both physical sensors and online processes (virtual sensors). Time series analytics is therefore crucial to unlocking the…

Machine Learning · Computer Science 2024-08-12 Ming Jin , Huan Yee Koh , Qingsong Wen , Daniele Zambon , Cesare Alippi , Geoffrey I. Webb , Irwin King , Shirui Pan

In recent years, mining the knowledge from asynchronous sequences by Hawkes process is a subject worthy of continued attention, and Hawkes processes based on the neural network have gradually become the most hotly researched fields,…

Machine Learning · Computer Science 2021-12-30 Lu-ning Zhang , Jian-wei Liu , Zhi-yan Song , Xin Zuo

While Transformers have revolutionized machine learning on various data, existing Transformers for temporal graphs face limitations in (1) restricted receptive fields, (2) overhead of subgraph extraction, and (3) suboptimal generalization…

Machine Learning · Computer Science 2024-12-03 Kay Liu , Jiahao Ding , MohamadAli Torkamani , Philip S. Yu

Accurate traffic flow forecasting is essential for the development of intelligent transportation systems (ITS), supporting tasks such as traffic signal optimization, congestion management, and route planning. Traditional models often fail…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-03 Zhuo Zheng , Lingran Meng , Ziyu Lin

Temporal Point Processes (TPPs) are often used to represent the sequence of events ordered as per the time of occurrence. Owing to their flexible nature, TPPs have been used to model different scenarios and have shown applicability in…

Machine Learning · Computer Science 2021-07-19 Shivshankar Reddy , Anand Vir Singh Chauhan , Maneet Singh , Karamjit Singh

Although Transformer has made breakthrough success in widespread domains especially in Natural Language Processing (NLP), applying it to time series forecasting is still a great challenge. In time series forecasting, the autoregressive…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Guang Chen , Dan Xu , Lijun Zhang , Yuyao Huang , Alois Knoll

The current landscape in time-series forecasting is dominated by Transformer-based models. Their high parameter count and corresponding demand in computational resources pose a challenge to real-world deployment, especially for commercial…

Machine Learning · Computer Science 2024-12-18 Nicholas Kiefer , Arvid Weyrauch , Muhammed Öz , Achim Streit , Markus Götz , Charlotte Debus

Real-world problems often involve complex and unstructured sets of measurements, which occur when sensors are sparsely placed in either space or time. Being able to model this irregular spatiotemporal data and extract meaningful forecasts…

Machine Learning · Computer Science 2024-04-17 Arnaud Pannatier , Kyle Matoba , François Fleuret

Traffic forecasting has emerged as a core component of intelligent transportation systems. However, timely accurate traffic forecasting, especially long-term forecasting, still remains an open challenge due to the highly nonlinear and…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Mingxing Xu , Wenrui Dai , Chunmiao Liu , Xing Gao , Weiyao Lin , Guo-Jun Qi , Hongkai Xiong

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Multivariate Time Series (MTS) forecasting plays a vital role in a wide range of applications. Recently, Spatial-Temporal Graph Neural Networks (STGNNs) have become increasingly popular MTS forecasting methods. STGNNs jointly model the…

Machine Learning · Computer Science 2022-08-17 Zezhi Shao , Zhao Zhang , Fei Wang , Yongjun Xu

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

Machine Learning · Statistics 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang

Conditional Neural Processes (CNP; Garnelo et al., 2018) are an attractive family of meta-learning models which produce well-calibrated predictions, enable fast inference at test time, and are trainable via a simple maximum likelihood…

Machine Learning · Computer Science 2021-10-19 Stratis Markou , James Requeima , Wessel Bruinsma , Richard Turner

Neural Ordinary Differential Equations (NODEs) use a neural network to model the instantaneous rate of change in the state of a system. However, despite their apparent suitability for dynamics-governed time-series, NODEs present a few…

Machine Learning · Computer Science 2021-08-18 Alexander Norcliffe , Cristian Bodnar , Ben Day , Jacob Moss , Pietro Liò

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

Gaussian processes (GPs) are important probabilistic tools for inference and learning in spatio-temporal modelling problems such as those in climate science and epidemiology. However, existing GP approximations do not simultaneously support…

Machine Learning · Computer Science 2021-06-21 Will Tebbutt , Arno Solin , Richard E. Turner

Recent innovations in transformers have shown their superior performance in natural language processing (NLP) and computer vision (CV). The ability to capture long-range dependencies and interactions in sequential data has also triggered a…

Statistical Finance · Quantitative Finance 2025-03-24 Chu Myaet Thwal , Ye Lin Tun , Kitae Kim , Seong-Bae Park , Choong Seon Hong