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On account of its many successes in inference tasks and denoising applications, Dictionary Learning (DL) and its related sparse optimization problems have garnered a lot of research interest. While most solutions have focused on single…

Machine Learning · Computer Science 2020-10-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

We propose a computationally efficient and high-performance classification algorithm by incorporating class structural information in analysis dictionary learning. To achieve more consistent classification, we associate a class…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

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

Fully-supervised CNN-based approaches for learning local image descriptors have shown remarkable results in a wide range of geometric tasks. However, most of them require per-pixel ground-truth keypoint correspondence data which is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Iaroslav Melekhov , Zakaria Laskar , Xiaotian Li , Shuzhe Wang , Juho Kannala

We propose Probabilistic Warp Consistency, a weakly-supervised learning objective for semantic matching. Our approach directly supervises the dense matching scores predicted by the network, encoded as a conditional probability distribution.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Prune Truong , Martin Danelljan , Fisher Yu , Luc Van Gool

This work addresses the problem of learning sparse representations of tensor data using structured dictionary learning. It proposes learning a mixture of separable dictionaries to better capture the structure of tensor data by generalizing…

Machine Learning · Computer Science 2020-06-16 Mohsen Ghassemi , Zahra Shakeri , Anand D. Sarwate , Waheed U. Bajwa

Deep learning is also known as hierarchical learning, where the learner _learns_ to represent a complicated target function by decomposing it into a sequence of simpler functions to reduce sample and time complexity. This paper formally…

Machine Learning · Computer Science 2023-07-10 Zeyuan Allen-Zhu , Yuanzhi Li

Sparse representation models a signal as a linear combination of a small number of dictionary atoms. As a generative model, it requires the dictionary to be highly redundant in order to ensure both a stable high sparsity level and a low…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

The aim of this paper is to introduce a novel dictionary learning algorithm for sparse representation of signals defined over combinatorial topological spaces, specifically, regular cell complexes. Leveraging Hodge theory, we embed topology…

Signal Processing · Electrical Eng. & Systems 2025-03-17 Enrico Grimaldi , Claudio Battiloro , Paolo Di Lorenzo

In this work we propose a new deep learning tool called deep dictionary learning. Multi-level dictionaries are learnt in a greedy fashion, one layer at a time. This requires solving a simple (shallow) dictionary learning problem, the…

Machine Learning · Computer Science 2016-02-02 Snigdha Tariyal , Angshul Majumdar , Richa Singh , Mayank Vatsa

In the synthesis model signals are represented as a sparse combinations of atoms from a dictionary. Dictionary learning describes the acquisition process of the underlying dictionary for a given set of training samples. While ideally this…

Machine Learning · Statistics 2015-03-11 Matthias Seibert , Martin Kleinsteuber , Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Dictionary learning is a cutting-edge area in imaging processing, that has recently led to state-of-the-art results in many signal processing tasks. The idea is to conduct a linear decomposition of a signal using a few atoms of a learned…

Machine Learning · Statistics 2016-05-26 Simeng Qu , Xiao Wang

Most existing algorithms for dictionary learning assume that all entries of the (high-dimensional) input data are fully observed. However, in several practical applications (such as hyper-spectral imaging or blood glucose monitoring), only…

Machine Learning · Statistics 2018-04-26 Thanh V. Nguyen , Akshay Soni , Chinmay Hegde

We consider the problem of learning overcomplete dictionaries in the context of sparse coding, where each sample selects a sparse subset of dictionary elements. Our main result is a strategy to approximately recover the unknown dictionary…

Machine Learning · Statistics 2014-07-08 Alekh Agarwal , Animashree Anandkumar , Praneeth Netrapalli

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang

Deep hashing models have been proposed as an efficient method for large-scale similarity search. However, most existing deep hashing methods only utilize fine-level labels for training while ignoring the natural semantic hierarchy…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Ming Zhang , Xuefei Zhe , Le Ou-Yang , Shifeng Chen , Hong Yan

Sparsity-based methods have a long history in the field of signal processing and have been successfully applied to various image reconstruction problems. The involved sparsifying transformations or dictionaries are typically either…

Image and Video Processing · Electrical Eng. & Systems 2022-06-10 Andreas Kofler , Christian Wald , Tobias Schaeffter , Markus Haltmeier , Christoph Kolbitsch

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

Despite the fact that different objects possess distinct class-specific features, they also usually share common patterns. Inspired by this observation, we propose a novel method to explicitly and simultaneously learn a set of common…

Computer Vision and Pattern Recognition · Computer Science 2016-05-19 Tiep H. Vu , Vishal Monga

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong