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We propose a new algorithm for recovery of sparse signals from their compressively sensed samples. The proposed algorithm benefits from the strategy of gradual movement to estimate the positions of non-zero samples of sparse signal. We…

Information Theory · Computer Science 2012-04-04 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

Matrix recovery from sparse observations is an extensively studied topic emerging in various applications, such as recommendation system and signal processing, which includes the matrix completion and compressed sensing models as special…

Methodology · Statistics 2026-04-13 Ziyuan Chen , Ying Yang , Fang Yao

We present a technique for synthesizing a motion blurred image from a pair of unblurred images captured in succession. To build this system we motivate and design a differentiable "line prediction" layer to be used as part of a neural…

Computer Vision and Pattern Recognition · Computer Science 2019-06-21 Tim Brooks , Jonathan T. Barron

High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find…

Numerical Analysis · Mathematics 2024-03-29 Fatima Antarou Ba , Oleh Melnyk , Christian Wald , Gabriele Steidl

Lossless compression of dynamic 2D+t and 3D+t medical data is challenging regarding the huge amount of data, the characteristics of the inherent noise, and the high bit depth. Beyond that, a scalable representation is often required in…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Daniela Lanz , André Kaup

Sparse coding is a basic task in many fields including signal processing, neuroscience and machine learning where the goal is to learn a basis that enables a sparse representation of a given set of data, if one exists. Its standard…

Machine Learning · Computer Science 2015-03-04 Sanjeev Arora , Rong Ge , Tengyu Ma , Ankur Moitra

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

Optimization and Control · Mathematics 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Existing data-driven methods for garment animation, usually driven by linear skinning, although effective on tight garments, do not handle loose-fitting garments with complex deformations well. To address these limitations, we develop a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Yifu Liu , Xiaoxia Li , Zhiling Luo , Wei Zhou

Dynamic Mode Decomposition (DMD) is a data-driven and model-free decomposition technique. It is suitable for revealing spatio-temporal features of both numerically and experimentally acquired data. Conceptually, DMD performs a…

Fluid Dynamics · Physics 2020-12-18 Tim Krake , Stefan Reinhardt , Marcel Hlawatsch , Bernhard Eberhardt , Daniel Weiskopf

In this paper, we introduce DICOD, a convolutional sparse coding algorithm which builds shift invariant representations for long signals. This algorithm is designed to run in a distributed setting, with local message passing, making it…

Machine Learning · Computer Science 2018-05-15 Thomas Moreau , Laurent Oudre , Nicolas Vayatis

Sparse coding is an unsupervised learning algorithm that learns a succinct high-level representation of the inputs given only unlabeled data; it represents each input as a sparse linear combination of a set of basis functions. Originally…

Machine Learning · Computer Science 2012-06-26 Roger Grosse , Rajat Raina , Helen Kwong , Andrew Y. Ng

Recent advances in end-to-end video compression have shown promising results owing to their unified end-to-end learning optimization. However, such generalized frameworks often lack content-specific adaptation, leading to suboptimal…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Tiange Zhang , Xiandong Meng , Siwei Ma

Autoencoding has achieved great empirical success as a framework for learning generative models for natural images. Autoencoders often use generic deep networks as the encoder or decoder, which are difficult to interpret, and the learned…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Xili Dai , Ke Chen , Shengbang Tong , Jingyuan Zhang , Xingjian Gao , Mingyang Li , Druv Pai , Yuexiang Zhai , XIaojun Yuan , Heung-Yeung Shum , Lionel M. Ni , Yi Ma

We propose to learn a probabilistic motion model from a sequence of images for spatio-temporal registration. Our model encodes motion in a low-dimensional probabilistic space - the motion matrix - which enables various motion analysis tasks…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Julian Krebs , Hervé Delingette , Nicholas Ayache , Tommaso Mansi

Structured decoding enables large language models (LLMs) to generate outputs in formats required by downstream systems, such as HTML or JSON. However, existing methods suffer from efficiency bottlenecks due to grammar compilation, state…

Artificial Intelligence · Computer Science 2025-07-23 Ran Wang , Xiaoxuan Liu , Hao Ren , Gang Chen , Fanchao Qi , Maosong Sun

Convolutional sparse coding improves on the standard sparse approximation by incorporating a global shift-invariant model. The most efficient convolutional sparse coding methods are based on the alternating direction method of multipliers…

Machine Learning · Computer Science 2022-02-09 Farshad G. Veshki , Sergiy A. Vorobyov

We propose a novel dense mapping framework for sparse visual SLAM systems which leverages a compact scene representation. State-of-the-art sparse visual SLAM systems provide accurate and reliable estimates of the camera trajectory and…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Hidenobu Matsuki , Raluca Scona , Jan Czarnowski , Andrew J. Davison

Effective human behavior modeling is critical for successful human-robot interaction. Current state-of-the-art approaches for predicting listening head behavior during dyadic conversations employ continuous-to-discrete representations,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Tri Tung Nguyen Nguyen , Quang Tien Dam , Dinh Tuan Tran , Joo-Ho Lee

Compositional video generation aims to synthesize multiple instances with diverse appearance and motion. However, current approaches mainly focus on binding semantics, neglecting to understand diverse motion categories specified in prompts.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Zixuan Wang , Ziqin Zhou , Feng Chen , Duo Peng , Yixin Hu , Changsheng Li , Yinjie Lei

The research reported in this paper addresses the fundamental task of separation of locally moving or deforming image areas from a static or globally moving background. It builds on the latest developments in the field of robust principal…

Computer Vision and Pattern Recognition · Computer Science 2016-03-21 Salehe Erfanian Ebadi , Valia Guerra Ones , Ebroul Izquierdo