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In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

机器学习 · 计算机科学 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

Convolutional neural networks (CNN) have led to many state-of-the-art results spanning through various fields. However, a clear and profound theoretical understanding of the forward pass, the core algorithm of CNN, is still lacking. In…

机器学习 · 统计学 2017-02-02 Vardan Papyan , Yaniv Romano , Michael Elad

Neural time-series data contain a wide variety of prototypical signal waveforms (atoms) that are of significant importance in clinical and cognitive research. One of the goals for analyzing such data is hence to extract such…

机器学习 · 统计学 2017-06-15 Mainak Jas , Tom Dupré La Tour , Umut Şimşekli , Alexandre Gramfort

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)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Video capture is limited by the trade-off between spatial and temporal resolution: when capturing videos of high temporal resolution, the spatial resolution decreases due to bandwidth limitations in the capture system. Achieving both high…

图形学 · 计算机科学 2018-06-14 Ana Serrano , Elena Garces , Diego Gutierrez , Belen Masia

Most existing convolutional dictionary learning (CDL) algorithms are based on batch learning, where the dictionary filters and the convolutional sparse representations are optimized in an alternating manner using a training dataset. When…

计算机视觉与模式识别 · 计算机科学 2023-01-26 Farshad G. Veshki , Sergiy A. Vorobyov

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…

计算机视觉与模式识别 · 计算机科学 2019-11-11 Tong Zhang , Fatih Porikli

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

机器学习 · 统计学 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

Over the past decade, learning a dictionary from input images for sparse modeling has been one of the topics which receive most research attention in image processing and compressed sensing. Most existing dictionary learning methods…

图像与视频处理 · 电气工程与系统科学 2021-04-27 Kai Liu , Yongjian Zhao , Hua Wang

In this work, we explore the intersection of sparse coding theory and deep learning to enhance our understanding of feature extraction capabilities in advanced neural network architectures. We begin by introducing a novel class of Deep…

机器学习 · 计算机科学 2025-12-05 Jianfei Li , Han Feng , Ding-Xuan Zhou

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…

计算机视觉与模式识别 · 计算机科学 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

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…

计算机视觉与模式识别 · 计算机科学 2017-04-17 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

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,…

图像与视频处理 · 电气工程与系统科学 2020-01-31 Michael T. McCann , Vincent Andrearczyk , Michael Unser , Adrien Depeursinge

Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications. However, most existing sparse coding algorithms are nonconvex and…

机器学习 · 计算机科学 2017-09-12 Xiaodong Feng , Zhiwei Tang , Sen Wu

It is a challenging task to accurately perform semantic segmentation due to the complexity of real picture scenes. Many semantic segmentation methods based on traditional deep learning insufficiently captured the semantic and appearance…

计算机视觉与模式识别 · 计算机科学 2024-03-13 Haitong Tang , Shuang He , Mengduo Yang , Xia Lu , Qin Yu , Kaiyue Liu , Hongjie Yan , Nizhuan Wang

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,…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

A fundamental problem faced by object recognition systems is that objects and their features can appear in different locations, scales and orientations. Current deep learning methods attempt to achieve invariance to local translations via…

计算机视觉与模式识别 · 计算机科学 2017-12-12 Dimitrios C. Gklezakos , Rajesh P. N. Rao

Convolutional Sparse Coding (CSC) has been attracting more and more attention in recent years, for making full use of image global correlation to improve performance on various computer vision applications. However, very few studies focus…

图像与视频处理 · 电气工程与系统科学 2019-08-06 Menglei Zhang , Zhou Liu , Lei Yu

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…

机器学习 · 计算机科学 2012-06-26 Roger Grosse , Rajat Raina , Helen Kwong , Andrew Y. Ng

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…

机器学习 · 计算机科学 2014-06-17 Andreas Maurer , Massimiliano Pontil , Bernardino Romera-Paredes