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Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

Methodology · Statistics 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Given a continuous-time signal that can be modeled as the superposition of localized, time-shifted events from multiple sources, the goal of Convolutional Dictionary Learning (CDL) is to identify the location of the events--by Convolutional…

Signal Processing · Electrical Eng. & Systems 2020-10-23 Andrew H. Song , Francisco J. Flores , Demba Ba

In this paper, we propose a new unsupervised feature learning framework, namely Deep Sparse Coding (DeepSC), that extends sparse coding to a multi-layer architecture for visual object recognition tasks. The main innovation of the framework…

Machine Learning · Computer Science 2013-12-23 Yunlong He , Koray Kavukcuoglu , Yun Wang , Arthur Szlam , Yanjun Qi

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

Data Structures and Algorithms · Computer Science 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

We present sparse topical coding (STC), a non-probabilistic formulation of topic models for discovering latent representations of large collections of data. Unlike probabilistic topic models, STC relaxes the normalization constraint of…

Machine Learning · Computer Science 2012-02-20 Jun Zhu , Eric P. Xing

The classical sparse coding (SC) model represents visual stimuli as a linear combination of a handful of learned basis functions that are Gabor-like when trained on natural image data. However, the Gabor-like filters learned by classical…

Neurons and Cognition · Quantitative Biology 2024-02-19 Jonathan Huml , Abiy Tasissa , Demba Ba

Classifiers based on sparse representations have recently been shown to provide excellent results in many visual recognition and classification tasks. However, the high cost of computing sparse representations at test time is a major…

Computer Vision and Pattern Recognition · Computer Science 2014-10-03 Alhussein Fawzi , Mike Davies , Pascal Frossard

Sparse coding techniques for image processing traditionally rely on a processing of small overlapping patches separately followed by averaging. This has the disadvantage that the reconstructed image no longer obeys the sparsity prior used…

Image and Video Processing · Electrical Eng. & Systems 2018-12-31 Elad Plaut , Raja Giryes

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

Sparse coding (SC) is an unsupervised learning scheme that has received an increasing amount of interests in recent years. However, conventional SC vectorizes the input images, which destructs the intrinsic spatial structures of the images.…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Fei Jiang , Xiao-Yang Liu , Hongtao Lu , Ruimin Shen

This work presents an approach for image reconstruction in clinical low-dose tomography that combines principles from sparse signal processing with ideas from deep learning. First, we describe sparse signal representation in terms of…

Machine Learning · Statistics 2023-11-27 Jevgenija Rudzusika , Thomas Koehler , Ozan Öktem

We propose a simple yet effective model for Single Image Super-Resolution (SISR), by combining the merits of Residual Learning and Convolutional Sparse Coding (RL-CSC). Our model is inspired by the Learned Iterative Shrinkage-Threshold…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Menglei Zhang , Zhou Liu , Lei Yu

State-of-the-art approaches toward image restoration can be classified into model-based and learning-based. The former - best represented by sparse coding techniques - strive to exploit intrinsic prior knowledge about the unknown…

Image and Video Processing · Electrical Eng. & Systems 2018-11-29 Fangfang Wu , Weisheng Dong , Guangming Shi , Xin Li

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

We propose an algorithm for rotational sparse coding along with an efficient implementation using steerability. Sparse coding (also called dictionary learning) is an important technique in image processing, useful in inverse problems,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-31 Michael T. McCann , Vincent Andrearczyk , Michael Unser , Adrien Depeursinge

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

Machine Learning · Computer Science 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

This paper seeks to combine dictionary learning and hierarchical image representation in a principled way. To make dictionary atoms capturing additional information from extended receptive fields and attain improved descriptive capacity, we…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Tong Zhang , Fatih Porikli

Despite strong empirical performance for image classification, deep neural networks are often regarded as ``black boxes'' and they are difficult to interpret. On the other hand, sparse convolutional models, which assume that a signal can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Xili Dai , Mingyang Li , Pengyuan Zhai , Shengbang Tong , Xingjian Gao , Shao-Lun Huang , Zhihui Zhu , Chong You , Yi Ma

The compressive sensing (CS) scheme exploits much fewer measurements than suggested by the Nyquist-Shannon sampling theorem to accurately reconstruct images, which has attracted considerable attention in the computational imaging community.…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Zhiyuan Zha , Bihan Wen , Xin Yuan , Saiprasad Ravishankar , Jiantao Zhou , Ce Zhu