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We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spatio-temporal lowpass filter is applied to the input detector…

统计力学 · 物理学 2007-05-23 Martin Treiber , Dirk Helbing

Graph-based next-step prediction models have recently been very successful in modeling complex high-dimensional physical systems on irregular meshes. However, due to their short temporal attention span, these models suffer from error…

机器学习 · 计算机科学 2022-05-27 Xu Han , Han Gao , Tobias Pfaff , Jian-Xun Wang , Li-Ping Liu

With the rapid development of the Intelligent Transportation System (ITS), accurate traffic forecasting has emerged as a critical challenge. The key bottleneck lies in capturing the intricate spatio-temporal traffic patterns. In recent…

机器学习 · 计算机科学 2023-10-10 Hangchen Liu , Zheng Dong , Renhe Jiang , Jiewen Deng , Jinliang Deng , Quanjun Chen , Xuan Song

Event-based sensors offer high temporal resolution and low latency by generating sparse, asynchronous data. However, converting this irregular data into dense tensors for use in standard neural networks diminishes these inherent advantages,…

计算机视觉与模式识别 · 计算机科学 2025-07-22 Aayush Atul Verma , Arpitsinh Vaghela , Bharatesh Chakravarthi , Kaustav Chanda , Yezhou Yang

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

数值分析 · 数学 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

World modelling is essential for understanding and predicting the dynamics of complex systems by learning both spatial and temporal dependencies. However, current frameworks, such as Transformers and selective state-space models like…

人工智能 · 计算机科学 2025-03-03 Li Nanbo , Firas Laakom , Yucheng Xu , Wenyi Wang , Jürgen Schmidhuber

In this work we investigate efficient data compression for spatiotemporal Black, Azov and Marmara Seas temperature tensors that contain significant number of missing values. These tensors have a complex structure influenced by the…

数值分析 · 数学 2025-10-14 Ilya Kosolapov , Tatiana Sheloput , Sergey Matveev

In recent years, traffic flow prediction has played a crucial role in the management of intelligent transportation systems. However, traditional prediction methods are often limited by static spatial modeling, making it difficult to…

机器学习 · 计算机科学 2025-01-09 Mei Wu , Wenchao Weng , Jun Li , Yiqian Lin , Jing Chen , Dewen Seng

Tensor decomposition is an important tool for multiway data analysis. In practice, the data is often sparse yet associated with rich temporal information. Existing methods, however, often under-use the time information and ignore the…

机器学习 · 计算机科学 2023-10-31 Zheng Wang , Shikai Fang , Shibo Li , Shandian Zhe

Density based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modelling and the…

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

数值分析 · 数学 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Generating synthetic financial time series data that accurately reflects real-world market dynamics holds tremendous potential for various applications, including portfolio optimization, risk management, and large scale machine learning. We…

数理金融 · 定量金融 2025-11-05 Chung I Lu , Julian Sester

Skeleton-based action recognition, which classifies human actions based on the coordinates of joints and their connectivity within skeleton data, is widely utilized in various scenarios. While Graph Convolutional Networks (GCNs) have been…

计算机视觉与模式识别 · 计算机科学 2024-07-18 Jeonghyeok Do , Munchurl Kim

Topic discovery has witnessed a significant growth as a field of data mining at large. In particular, time-evolving topic discovery, where the evolution of a topic is taken into account has been instrumental in understanding the historical…

信息检索 · 计算机科学 2018-07-03 Sanaz Bahargam , Evangelos E. Papalexakis

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…

信号处理 · 电气工程与系统科学 2021-03-30 Mingxing Xu , Wenrui Dai , Chunmiao Liu , Xing Gao , Weiyao Lin , Guo-Jun Qi , Hongkai Xiong

Recent works put much effort into tensor network structure search (TN-SS), aiming to select suitable tensor network (TN) structures, involving the TN-ranks, formats, and so on, for the decomposition or learning tasks. In this paper, we…

机器学习 · 计算机科学 2022-06-15 Chao Li , Junhua Zeng , Zerui Tao , Qibin Zhao

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

社会与信息网络 · 计算机科学 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

机器学习 · 计算机科学 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional function approximations arising from computational and data sciences. Various sequential and parallel TT decomposition algorithms have…

数值分析 · 数学 2025-09-05 Tianyi Shi , Daniel Hayes , Jing-Mei Qiu

Factor analysis is a classical data reduction technique that seeks a potentially lower number of unobserved variables that can account for the correlations among the observed variables. This paper presents an extension of the factor…

统计方法学 · 统计学 2013-12-04 Tsung-I Lin , Pal H. Wu , Geoffrey J. McLachlan , Sharon X. Lee