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Inferring future activity information based on observed activity data is a crucial step to improve the accuracy of early activity prediction. Traditional methods based on generative adversarial networks(GAN) or joint learning frameworks can…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Tingyu Liu , Jun Huang , Chenyi Weng

Domain decomposition methods (DDMs) provide a unifying framework for the scalable numerical solution of partial differential equations. Originating from Schwarz's alternating method, they have evolved into a rich family of algorithms that…

Numerical Analysis · Mathematics 2026-05-26 Victorita Dolean , Pierre Jolivet , Frédéric Nataf , Pierre-Henri Tournier

For multimodal skeleton-based action recognition, Graph Convolutional Networks (GCNs) are effective models. Still, their reliance on floating-point computations leads to high energy consumption, limiting their applicability in…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Naichuan Zheng , Yuchen Du , Hailun Xia , Zeyu Liang

Koopman operator theory shows how nonlinear dynamical systems can be represented as an infinite-dimensional, linear operator acting on a Hilbert space of observables of the system. However, determining the relevant modes and eigenvalues of…

Machine Learning · Computer Science 2022-04-06 Daniel J. Alford-Lago , Christopher W. Curtis , Alexander T. Ihler , Opal Issan

RGB-guided depth completion aims at predicting dense depth maps from sparse depth measurements and corresponding RGB images, where how to effectively and efficiently exploit the multi-modal information is a key issue. Guided dynamic…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Yufei Wang , Yuxin Mao , Qi Liu , Yuchao Dai

Dynamic Mode Decomposition (DMD) is a powerful, data-driven method for diagnosing complex dynamics. Various DMD algorithms allow one to fit data with a low-rank model that decomposes it into a sum of coherent spatiotemporal patterns.…

Dynamical Systems · Mathematics 2025-09-04 Karl Lapo , Samuele Mosso , J. Nathan Kutz

In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

The potential huge advantage of spectral computed tomography (CT) is its capability to provide accuracy material identification and quantitative tissue information. This can benefit clinical applications, such as brain angiography, early…

Image and Video Processing · Electrical Eng. & Systems 2020-08-18 Weiwen Wu , Haijun Yu , Peijun Chen , Fulin Luo , Fenglin Liu , Qian Wang , Yining Zhu , Yanbo Zhang , Jian Feng , Hengyong Yu

Dynamic mode decomposition (DMD) is an emerging methodology that has recently attracted computational scientists working on nonintrusive reduced order modeling. One of the major strengths that DMD possesses is having ground theoretical…

Numerical Analysis · Mathematics 2022-01-12 Shady E. Ahmed , Omer San , Diana A. Bistrian , Ionel M. Navon

The alignment of serial-section electron microscopy (ssEM) images is critical for efforts in neuroscience that seek to reconstruct neuronal circuits. However, each ssEM plane contains densely packed structures that vary from one section to…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Inwan Yoo , David G. C. Hildebrand , Willie F. Tobin , Wei-Chung Allen Lee , Won-Ki Jeong

Capturing dynamic spatiotemporal neural activity is essential for understanding large-scale brain mechanisms. Functional magnetic resonance imaging (fMRI) provides high-resolution cortical representations that form a strong basis for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Wanying Qu , Jianxiong Gao , Wei Wang , Yanwei Fu

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

Dynamical Systems · Mathematics 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

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…

Machine Learning · Computer Science 2024-08-07 Pengcheng Gao , Zicheng Gao , Ye Yuan

Slice discovery methods (SDMs) are prominent algorithms for finding systematic weaknesses in DNNs. They identify top-k semantically coherent slices/subsets of data where a DNN-under-test has low performance. For being directly useful,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Sujan Sai Gannamaneni , Rohil Prakash Rao , Michael Mock , Maram Akila , Stefan Wrobel

Reduced modeling in high-dimensional reproducing kernel Hilbert spaces offers the opportunity to approximate efficiently non-linear dynamics. In this work, we devise an algorithm based on low rank constraint optimization and kernel-based…

Machine Learning · Computer Science 2020-02-23 Patrick Heas , Cedric Herzet , Benoit Combes

The conjugation of multiple spatial light modulators (SLMs) enables the construction of optical diffractive neural networks (DNNs). To accelerate training, which is limited by the low refresh rate of SLMs, spatial multiplexing of the input…

Optics · Physics 2026-05-20 Guillaume Noetinger , Tim Tuuva , Romain Fleury

Stereo superpixel segmentation aims at grouping the discretizing pixels into perceptual regions through left and right views more collaboratively and efficiently. Existing superpixel segmentation algorithms mostly utilize color and spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Hua Li , Junyan Liang , Ruiqi Wu , Runmin Cong , Junhui Wu , Sam Tak Wu Kwong

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

Machine Learning · Computer Science 2025-11-26 Yujin Kim , Sarah Dean

Dynamic Mode Decomposition (DMD) is a data-driven method related to Koopman operator theory that extracts information about dominant dynamics from data snapshots. In this paper we examine techniques to accelerate the application of DMD to…

Numerical Analysis · Mathematics 2026-02-02 Peter Oehme
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