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Decomposing multivariate time series with certain basic dynamics is crucial for understanding, predicting and controlling nonlinear spatiotemporally dynamic systems such as the brain. Dynamic mode decomposition (DMD) is a method for…

信号处理 · 电气工程与系统科学 2025-07-15 Ryohei Fukuma , Yoshinobu Kawahara , Okito Yamashita , Kei Majima , Haruhiko Kishima , Takufumi Yanagisawa

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

数值分析 · 数学 2023-07-26 Jovan Žigić

Any autonomous nonlinear dynamical system can be viewed as a superposition of infinitely many linear processes, through the so-called Koopman mode decomposition. Its data-driven approximation- Dynamic Mode Decomposition (DMD)- has been…

动力系统 · 数学 2025-03-11 Gowtham S Seenivasaharagavan , Milan Korda , Hassan Arbabi , Igor Mezić

Atmospheric processes involve both space and time. This is why human analysis of atmospheric imagery can often extract more information from animated loops of image sequences than from individual images. Automating such an analysis requires…

计算机视觉与模式识别 · 计算机科学 2022-10-26 Akansha Singh Bansal , Yoonjin Lee , Kyle Hilburn , Imme Ebert-Uphoff

Mining frequent episodes aims at recovering sequential patterns from temporal data sequences, which can then be used to predict the occurrence of related events in advance. On the other hand, gradual patterns that capture co-variation of…

机器学习 · 计算机科学 2020-10-21 Jerry Lonlac , Arnaud Doniec , Marin Lujak , Stephane Lecoeuche

A representative model in integrative analysis of two high-dimensional correlated datasets is to decompose each data matrix into a low-rank common matrix generated by latent factors shared across datasets, a low-rank distinctive matrix…

机器学习 · 统计学 2022-04-06 Hai Shu , Zhe Qu

In this study, Disentanglement in Difference(DiD) is proposed to address the inherent inconsistency between the statistical independence of latent variables and the goal of semantic disentanglement in disentanglement representation…

机器学习 · 计算机科学 2025-04-04 Xingshen Zhang , Lin Wang , Shuangrong Liu , Xintao Lu , Chaoran Pang , Bo Yang

Semantic segmentation necessitates approaches that learn high-level characteristics while dealing with enormous amounts of data. Convolutional neural networks (CNNs) can learn unique and adaptive features to achieve this aim. However, due…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Hasan AlMarzouqi , Lyes Saad Saoud

Human multimodal emotion recognition (MER) aims to perceive human emotions via language, visual and acoustic modalities. Despite the impressive performance of previous MER approaches, the inherent multimodal heterogeneities still haunt and…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Yong Li , Yuanzhi Wang , Zhen Cui

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The Dynamic Mode Decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear…

Semi-supervised action recognition aims to improve spatio-temporal reasoning ability with a few labeled data in conjunction with a large amount of unlabeled data. Albeit recent advancements, existing powerful methods are still prone to…

计算机视觉与模式识别 · 计算机科学 2024-04-26 Yu Wang , Sanping Zhou , Kun Xia , Le Wang

Statistic modeling and data-driven learning are the two vital fields that attract many attentions. Statistic models intend to capture and interpret the relationships among variables, while data-based learning attempt to extract information…

机器学习 · 计算机科学 2021-12-22 Jingwei Li

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

机器学习 · 计算机科学 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

Representation of semantic context and local details is the essential issue for building modern semantic segmentation models. However, the interrelationship between semantic context and local details is not well explored in previous works.…

计算机视觉与模式识别 · 计算机科学 2021-05-26 Chen Shi , Xiangtai Li , Yanran Wu , Yunhai Tong , Yi Xu

While large volumes of unlabeled data are usually available, associated labels are often scarce. The unsupervised domain adaptation problem aims at exploiting labels from a source domain to classify data from a related, yet different,…

Spatial-temporal data modeling aims to mine the underlying spatial relationships and temporal dependencies of objects in a system. However, most existing methods focus on the modeling of spatial-temporal data in a single mode, lacking the…

机器学习 · 计算机科学 2023-08-23 Zihang Liu , Le Yu , Tongyu Zhu , Leiei Sun

As a promising field in open-world learning, \textit{Novel Class Discovery} (NCD) is usually a task to cluster unseen novel classes in an unlabeled set based on the prior knowledge of labeled data within the same domain. However, the…

计算机视觉与模式识别 · 计算机科学 2025-06-25 Yicheng Wang , Feng Liu , Junmin Liu , Kai Sun

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

数值分析 · 数学 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

Analysing and learning from spatio-temporal datasets is an important process in many domains, including transportation, healthcare and meteorology. In particular, data collected by sensors in the environment allows us to understand and…

数据库 · 计算机科学 2020-05-19 Liam Steadman , Nathan Griffiths , Stephen Jarvis , Mark Bell , Shaun Helman , Caroline Wallbank

High quality spatiotemporal signal is vitally important for real application scenarios like energy management, traffic planning and cyber security. Due to the uncontrollable factors like abrupt sensors breakdown or communication fault, the…

机器学习 · 计算机科学 2024-08-07 Pengcheng Gao , Zicheng Gao , Ye Yuan