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High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Classification of multi-dimensional time series from real-world systems require fine-grained learning of complex features such as cross-dimensional dependencies and intra-class variations-all under the practical challenge of low training…

Machine Learning · Computer Science 2025-05-16 Anushiya Arunan , Yan Qin , Xiaoli Li , Yuen Chau

We propose a novel multilinear dynamical system (MLDS) in a transform domain, named $\mathcal{L}$-MLDS, to model tensor time series. With transformations applied to a tensor data, the latent multidimensional correlations among the frontal…

Machine Learning · Computer Science 2018-11-20 Weijun Lu , Xiao-Yang Liu , Qingwei Wu , Yue Sun , Anwar Walid

Accurate traffic flow prediction is essential for applications like transport logistics but remains challenging due to complex spatio-temporal correlations and non-linear traffic patterns. Existing methods often model spatial and temporal…

Machine Learning · Computer Science 2025-03-18 Jing Chen , Haocheng Ye , Zhian Ying , Yuntao Sun , Wenqiang Xu

Dynamic mode decomposition (DMD) provides a principled approach to extract physically interpretable spatial modes from time-resolved flow field data, along with a linear model for how the amplitudes of these modes evolve in time. Recently,…

Fluid Dynamics · Physics 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

Multi-view time series classification (MVTSC) aims to improve the performance by fusing the distinctive temporal information from multiple views. Existing methods mainly focus on fusing multi-view information at an early stage, e.g., by…

Machine Learning · Computer Science 2020-11-24 Yue Bai , Lichen Wang , Zhiqiang Tao , Sheng Li , Yun Fu

Real-world relations among entities can often be observed and determined by different perspectives/views. For example, the decision made by a user on whether to adopt an item relies on multiple aspects such as the contextual information of…

Machine Learning · Computer Science 2018-02-16 Chun-Ta Lu , Lifang He , Hao Ding , Bokai Cao , Philip S. Yu

Recently, deep matrix factorization has been established as a powerful model for unsupervised tasks, achieving promising results, especially for multi-view clustering. However, existing methods often lack effective feature selection…

Machine Learning · Statistics 2024-12-04 Yasser Khalafaoui , Basarab Matei , Martino Lovisetto , Nistor Grozavu

Unsupervised integrative analysis of multiple data sources has become common place and scalable algorithms are necessary to accommodate ever increasing availability of data. Only few currently methods have estimation speed as their focus,…

Methodology · Statistics 2024-05-17 Felix Held

This paper studies the data sparsity problem in multi-view learning. To solve data sparsity problem in multiview ratings, we propose a generic architecture of deep transfer tensor factorization (DTTF) by integrating deep learning and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Penghao Jiang , Ke Xin , Chunxi Li

Models for recommender systems use latent factors to explain the preferences and behaviors of users with respect to a set of items (e.g., movies, books, academic papers). Typically, the latent factors are assumed to be static and, given…

Machine Learning · Computer Science 2015-09-16 Laurent Charlin , Rajesh Ranganath , James McInerney , David M. Blei

Empirically observed time series in physics, biology, or medicine, are commonly generated by some underlying dynamical system (DS) which is the target of scientific interest. There is an increasing interest to harvest machine learning…

Machine Learning · Computer Science 2022-07-07 Daniel Kramer , Philine Lou Bommer , Carlo Tombolini , Georgia Koppe , Daniel Durstewitz

Recent quantitative parameter mapping methods including MR fingerprinting (MRF) collect a time series of images that capture the evolution of magnetization. The focus of this work is to introduce a novel approach termed as Deep Factor…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Yan Chen , James H. Holmes , Curtis Corum , Vincent Magnotta , Mathews Jacob

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

A typical approach to the joint analysis of multiple high-dimensional data views is to decompose each view's data matrix into three parts: a low-rank common-source matrix generated by common latent factors of all data views, a low-rank…

Machine Learning · Statistics 2024-08-05 Hai Shu

Soft sensor modeling plays a crucial role in process monitoring. Causal feature selection can enhance the performance of soft sensor models in industrial applications. However, existing methods ignore two critical characteristics of…

Machine Learning · Computer Science 2026-01-21 Shi-Shun Chen , Xiao-Yang Li , Enrico Zio

A non-intrusive model order reduction (MOR) method that combines features of the dynamic mode decomposition (DMD) and the radial basis function (RBF) network is proposed to predict the dynamics of parametric nonlinear systems. In many…

An efficient way to learn deep density models that have many layers of latent variables is to learn one layer at a time using a model that has only one layer of latent variables. After learning each layer, samples from the posterior…

Machine Learning · Computer Science 2012-06-22 Yichuan Tang , Ruslan Salakhutdinov , Geoffrey Hinton

Accurate vehicle trajectory prediction is crucial for ensuring safe and efficient autonomous driving. This work explores the integration of Transformer based model with Long Short-Term Memory (LSTM) based technique to enhance spatial and…

Robotics · Computer Science 2024-12-19 Chandra Raskoti , Weizi Li

In various web applications like targeted advertising and recommender systems, the available categorical features (e.g., product type) are often of great importance but sparse. As a widely adopted solution, models based on Factorization…

Machine Learning · Computer Science 2019-11-19 Tong Chen , Hongzhi Yin , Quoc Viet Hung Nguyen , Wen-Chih Peng , Xue Li , Xiaofang Zhou