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The rapid growth of earth observation systems calls for a scalable approach to interpolate remote-sensing observations. These methods in principle, should acquire more information about the observed field as data grows. Gaussian processes…

Machine Learning · Computer Science 2024-12-17 Weibin Chen , Azhir Mahmood , Michel Tsamados , So Takao

Prediction and interpolation for long-range video data involves the complex task of modeling motion trajectories for each visible object, occlusions and dis-occlusions, as well as appearance changes due to viewpoint and lighting. Optical…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Kevin J. Shih , Aysegul Dundar , Animesh Garg , Robert Pottorf , Andrew Tao , Bryan Catanzaro

An adaptive parametric reduced-order modeling method based on interpolating poles of reduced-order models is proposed in this paper. To guarantee correct interpolation, a pole-matching process is conducted to determine which poles of two…

Numerical Analysis · Mathematics 2019-08-05 Yao Yue , Lihong Feng , Peter Benner

The graph Fourier transform (GFT) is a fundamental tool in graph signal processing and has recently been extended to the graph fractional Fourier transform (GFRFT). Existing sampling methods in the GFRFT domain are primarily designed to…

General Mathematics · Mathematics 2026-05-27 Yu Zhang , Jia-Yin Peng , Bing-Zhao Li

We propose Framer for interactive frame interpolation, which targets producing smoothly transitioning frames between two images as per user creativity. Concretely, besides taking the start and end frames as inputs, our approach supports…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Wen Wang , Qiuyu Wang , Kecheng Zheng , Hao Ouyang , Zhekai Chen , Biao Gong , Hao Chen , Yujun Shen , Chunhua Shen

We propose an online algorithm for tracking a multidimensional time-varying parameter of a time series, which is also allowed to be a predictable process with respect to the underlying time series. The algorithm is driven by a gain…

Statistics Theory · Mathematics 2013-11-15 Eduard Belitser , Paulo Serra

A promising step from linear towards nonlinear data-driven control is via the design of controllers for linear parameter-varying (LPV) systems, which are linear systems whose parameters are varying along a measurable scheduling signal.…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Jaap Eising , Florian Dörfler , Roland Tóth

Imagining multiple consecutive frames given one single snapshot is challenging, since it is difficult to simultaneously predict diverse motions from a single image and faithfully generate novel frames without visual distortions. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Lu Sheng , Junting Pan , Jiaming Guo , Jing Shao , Xiaogang Wang , Chen Change Loy

A data-driven framework using snapshots of an uncontrolled flow is proposed to identify, and subsequently demonstrate, effective control strategies for different objectives in supersonic impinging jets. The approach, based on a dynamic mode…

Fluid Dynamics · Physics 2023-09-12 Spencer L. Stahl , Datta V. Gaitonde

Dynamic patterns are characterized by complex spatial and motion patterns. Understanding dynamic patterns requires a disentangled representational model that separates the factorial components. A commonly used model for dynamic patterns is…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Jianwen Xie , Ruiqi Gao , Zilong Zheng , Song-Chun Zhu , Ying Nian Wu

Latent-space interpolation is commonly used to demonstrate the generalization ability of deep latent variable models. Various algorithms have been proposed to calculate the best trajectory between two encodings in the latent space. In this…

Machine Learning · Computer Science 2021-10-14 Lu Mi , Tianxing He , Core Francisco Park , Hao Wang , Yue Wang , Nir Shavit

Inverse rendering remains a core challenge in graphics and vision, especially in the snapshot configurations required for lightweight desktop workflows, where the per-frame information budget is highly constrained. Previous inverse…

We propose a model order reduction approach for non-intrusive surrogate modeling of parametric dynamical systems. The reduced model over the whole parameter space is built by combining surrogates in frequency only, built at few selected…

Numerical Analysis · Mathematics 2021-09-23 Fabio Nobile , Davide Pradovera

We consider the inverse problem of fitting atmospheric dispersion parameters based on time-resolved back-scattered differential absorption Lidar (DIAL) measurements. The obvious advantage of light-based remote sensing modalities is their…

Analysis of PDEs · Mathematics 2023-08-01 Robert Lung , Nick Polydorides

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra

This work develops a non-intrusive, data-driven surrogate modeling framework based on Operator Inference (OpInf) for rapidly solving parameter-dependent matrix equations in many-query settings. Motivated by the requirements of the OpInf…

Numerical Analysis · Mathematics 2025-11-21 Xuelian Wen , Qiuqi Li , Juan Zhang

In this paper, we propose a new approach to model reduction of parameterized partial differential equations (PDEs) based on the concept of adaptive reduced bases. The presented approach is particularly suited for large-scale nonlinear…

Numerical Analysis · Mathematics 2014-10-01 Liqian Peng , Kamran Mohseni

The Easy Path Wavelet Transform is an adaptive transform for bivariate functions (in particular natural images) which has been proposed in [1]. It provides a sparse representation by finding a path in the domain of the function leveraging…

Information Theory · Computer Science 2017-02-16 Renato Budinich

We focus on the dominant poles of the transfer function of a descriptor system. The transfer function typically exhibits large norm at and near the imaginary parts of the dominant poles. Consequently, the dominant poles provide information…

Numerical Analysis · Mathematics 2022-03-09 Emre Mengi

We present a data-driven nonintrusive model order reduction method for dynamical systems with moving boundaries. The proposed method draws on the proper orthogonal decomposition, Gaussian process regression, and moving least squares…

Computational Engineering, Finance, and Science · Computer Science 2021-03-18 Zhan Ma , Wenxiao Pan
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