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We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

The problem of forecasting spatiotemporal events such as crimes and accidents is crucial to public safety and city management. Besides accuracy, interpretability is also a key requirement for spatiotemporal forecasting models to justify the…

Machine Learning · Computer Science 2024-12-23 Bang An , Xun Zhou , Zirui Zhou , Ronilo Ragodos , Zenglin Xu , Jun Luo

Neural Processes (NPs), and specifically Transformer Neural Processes (TNPs), have demonstrated remarkable performance across tasks ranging from spatiotemporal forecasting to tabular data modelling. However, many of these applications are…

Machine Learning · Computer Science 2026-02-24 Philip Mortimer , Cristiana Diaconu , Tommy Rochussen , Bruno Mlodozeniec , Richard E. Turner

Time series forecasting plays a vital role across scientific, industrial, and environmental domains, especially when dealing with high-dimensional and nonlinear systems. While Transformer-based models have recently achieved state-of-the-art…

Machine Learning · Computer Science 2025-08-05 Ali Forootani , Mohammad Khosravi , Masoud Barati

Traditional vision-based autonomous driving systems often face difficulties in navigating complex environments when relying solely on single-image inputs. To overcome this limitation, incorporating temporal data such as past image frames or…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Tuong Do , Binh X. Nguyen , Quang D. Tran , Erman Tjiputra , Te-Chuan Chiu , Anh Nguyen

Asynchronous time series, also known as temporal event sequences, are the basis of many applications throughout different industries. Temporal point processes(TPPs) are the standard method for modeling such data. Existing TPP models have…

Machine Learning · Computer Science 2023-10-10 Yan Wang , Zhixuan Chu , Tao Zhou , Caigao Jiang , Hongyan Hao , Minjie Zhu , Xindong Cai , Qing Cui , Longfei Li , James Y Zhang , Siqiao Xue , Jun Zhou

Detecting and analyzing complex patterns in multivariate time-series data is crucial for decision-making in urban and environmental system operations. However, challenges arise from the high dimensionality, intricate complexity, and…

Machine Learning · Computer Science 2024-12-25 Haowen Xu , Ali Boyaci , Jianming Lian , Aaron Wilson

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

In modeling multivariate time series, it is important to allow time-varying smoothness in the mean and covariance process. In particular, there may be certain time intervals exhibiting rapid changes and others in which changes are slow. If…

Applications · Statistics 2014-06-02 Daniele Durante , Bruno Scarpa , David B. Dunson

Speech emotion recognition is crucial to human-computer interaction. The temporal regions that represent different emotions scatter in different parts of the speech locally. Moreover, the temporal scales of important information may vary…

Sound · Computer Science 2023-03-06 Shuaiqi Chen , Xiaofen Xing , Weibin Zhang , Weidong Chen , Xiangmin Xu

Time series forecasting, which predicts future values from past observations, plays a central role in many domains and has driven the development of highly accurate neural network models. However, the complexity of these models often limits…

Machine Learning · Computer Science 2026-03-05 Hiroki Tomioka , Genta Yoshimura

In autoregressive modeling for tensor-valued time series, Tucker decomposition, when applied to the coefficient tensor, provides a clear interpretation of supervised factor modeling but loses its efficiency rapidly with increasing tensor…

Methodology · Statistics 2025-06-03 Yuxi Cai , Lan Li , Yize Wang , Guodong Li

Despite the high performance of neural network-based time series forecasting methods, the inherent challenge in explaining their predictions has limited their applicability in certain application areas. Due to the difficulty in identifying…

Machine Learning · Computer Science 2023-01-09 Ozan Ozyegen , Juyoung Wang , Mucahit Cevik

Conventional time series classification approaches based on bags of patterns or shapelets face significant challenges in dealing with a vast amount of feature candidates from high-dimensional multivariate data. In contrast, deep neural…

Machine Learning · Computer Science 2023-06-07 Raneen Younis , Abdul Hakmeh , Zahra Ahmadi

Estimating the covariance structure of multivariate time series is a fundamental problem with a wide-range of real-world applications -- from financial modeling to fMRI analysis. Despite significant recent advances, current state-of-the-art…

Machine Learning · Computer Science 2021-02-12 Hrayr Harutyunyan , Daniel Moyer , Hrant Khachatrian , Greg Ver Steeg , Aram Galstyan

Recently deep neural networks demonstrate competitive performances in classification and regression tasks for many temporal or sequential data. However, it is still hard to understand the classification mechanisms of temporal deep neural…

Machine Learning · Computer Science 2020-07-13 Sohee Cho , Ginkyeng Lee , Wonjoon Chang , Jaesik Choi

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

Methodology · Statistics 2025-08-19 Andrea Arnold

Transfer entropy (TE) is an information theoretic measure that reveals the directional flow of information between processes, providing valuable insights for a wide range of real-world applications. This work proposes Transfer Entropy…

Information Theory · Computer Science 2025-07-22 Omer Luxembourg , Dor Tsur , Haim Permuter

Discrete temporal transitions occur in a variety of domains, but this work is mainly motivated by applications in molecular biology: explaining and analyzing observed transcriptome and proteome time series by literature and database…

Quantitative Methods · Quantitative Biology 2007-09-18 Johannes Wollbold

Transition path theory (TPT) offers a powerful formalism for extracting the rate and mechanism of rare dynamical transitions between metastable states. Most applications of TPT either focus on systems with modestly sized state spaces or use…

Statistical Mechanics · Physics 2026-01-14 Nils E. Strand , Schuyler B. Nicholson , Hadrien Vroylandt , Todd R. Gingrich