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This paper introduces a new shape-based image reconstruction technique applicable to a large class of imaging problems formulated in a variational sense. Given a collection of shape priors (a shape dictionary), we define our problem as…

Functional Analysis · Mathematics 2013-03-04 Alireza Aghasi , Justin Romberg

We investigate the use of sparse coding and dictionary learning in the context of multitask and transfer learning. The central assumption of our learning method is that the tasks parameters are well approximated by sparse linear…

Machine Learning · Computer Science 2014-06-17 Andreas Maurer , Massimiliano Pontil , Bernardino Romera-Paredes

Denoising diffusion models have shown great promise in human motion synthesis conditioned on natural language descriptions. However, integrating spatial constraints, such as pre-defined motion trajectories and obstacles, remains a challenge…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Korrawe Karunratanakul , Konpat Preechakul , Supasorn Suwajanakorn , Siyu Tang

We target the problem of sparse 3D reconstruction of dynamic objects observed by multiple unsynchronized video cameras with unknown temporal overlap. To this end, we develop a framework to recover the unknown structure without sequencing…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Enliang Zheng , Dinghuang Ji , Enrique Dunn , Jan-Michael Frahm

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

Information Theory · Computer Science 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Dynamic Mode Decomposition (DMD) is a data-driven decomposition technique extracting spatio-temporal patterns of time-dependent phenomena. In this paper, we perform a comprehensive theoretical analysis of various variants of DMD. We provide…

Numerical Analysis · Mathematics 2022-02-15 Tim Krake , Daniel Weiskopf , Bernhard Eberhardt

Dynamic Distribution Decomposition (DDD) was introduced in Taylor-King et. al. (PLOS Comp Biol, 2020) as a variation on Dynamic Mode Decomposition. In brief, by using basis functions over a continuous state space, DDD allows for the fitting…

Machine Learning · Computer Science 2020-06-12 Jake P. Taylor-King , Cristian Regep , Jyothish Soman , Flawnson Tong , Catalina Cangea , Charlie Roberts

Human motion stylization aims to revise the style of an input motion while keeping its content unaltered. Unlike existing works that operate directly in pose space, we leverage the latent space of pretrained autoencoders as a more…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Chuan Guo , Yuxuan Mu , Xinxin Zuo , Peng Dai , Youliang Yan , Juwei Lu , Li Cheng

Example-based mesh deformation methods are powerful tools for realistic shape editing. However, existing techniques typically combine all the example deformation modes, which can lead to overfitting, i.e. using a overly complicated model to…

Graphics · Computer Science 2017-09-06 Lin Gao , Yu-Kun Lai , Jie Yang , Ling-Xiao Zhang , Leif Kobbelt , Shihong Xia

Text-to-video diffusion models synthesize temporal motion and spatial appearance through iterative denoising, yet how motion is encoded across timesteps remains poorly understood. Practitioners often exploit the empirical heuristic that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Vatsal Baherwani , Yixuan Ren , Abhinav Shrivastava

In this paper, we propose a novel framework for music-driven dance motion synthesis with controllable key pose constraint. In contrast to methods that generate dance motion sequences only based on music without any other controllable…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Junfu Pu , Ying Shan

We propose a sparse-coding framework for activity recognition in ubiquitous and mobile computing that alleviates two fundamental problems of current supervised learning approaches. (i) It automatically derives a compact, sparse and…

Machine Learning · Computer Science 2014-07-24 Sourav Bhattacharya , Petteri Nurmi , Nils Hammerla , Thomas Plötz

Dictionary learning is a challenge topic in many image processing areas. The basic goal is to learn a sparse representation from an overcomplete basis set. Due to combining the advantages of generic multiscale representations with learning…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Decomposition (DMD) with sparse sampling for the diagnostic…

Dynamical Systems · Mathematics 2020-05-18 Krithika Manohar , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

Motion blur is a known issue in photography, as it limits the exposure time while capturing moving objects. Extensive research has been carried to compensate for it. In this work, a computational imaging approach for motion deblurring is…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Shay Elmalem , Raja Giryes , Emanuel Marom

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

Numerical Analysis · Mathematics 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

In this paper, we analyze the uniqueness of the sparse time frequency decomposition and investigate the efficiency of the nonlinear matching pursuit method. Under the assumption of scale separation, we show that the sparse time frequency…

Information Theory · Computer Science 2015-05-08 Chunguang Liu , Thomas Y. Hou , Zuoqiang Shi

We formulate a low-storage method for performing dynamic mode decomposition that can be updated inexpensively as new data become available; this formulation allows dynamical information to be extracted from large datasets and data streams.…

Fluid Dynamics · Physics 2015-06-22 Maziar S. Hemati , Matthew O. Williams , Clarence W. Rowley