Manifold optimization-based analysis dictionary learning with an ℓ1∕2-norm regularizer.

07:00 EST 6th December 2017 | BioPortfolio

Summary of "Manifold optimization-based analysis dictionary learning with an ℓ1∕2-norm regularizer."

Recently there has been increasing attention towards analysis dictionary learning. In analysis dictionary learning, it is an open problem to obtain the strong sparsity-promoting solutions efficiently while simultaneously avoiding the trivial solutions of the dictionary. In this paper, to obtain the strong sparsity-promoting solutions, we employ the ℓ1∕2 norm as a regularizer. The very recent study on ℓ1∕2 norm regularization theory in compressive sensing shows that its solutions can give sparser results than using the ℓ1 norm. We transform a complex nonconvex optimization into a number of one-dimensional minimization problems. Then the closed-form solutions can be obtained efficiently. To avoid trivial solutions, we apply manifold optimization to update the dictionary directly on the manifold satisfying the orthonormality constraint, so that the dictionary can avoid the trivial solutions well while simultaneously capturing the intrinsic properties of the dictionary. The experiments with synthetic and real-world data verify that the proposed algorithm for analysis dictionary learning can not only obtain strong sparsity-promoting solutions efficiently, but also learn more accurate dictionary in terms of dictionary recovery and image processing than the state-of-the-art algorithms.


Journal Details

This article was published in the following journal.

Name: Neural networks : the official journal of the International Neural Network Society
ISSN: 1879-2782
Pages: 212-222


DeepDyve research library

PubMed Articles [30918 Associated PubMed Articles listed on BioPortfolio]

Robust Object Tracking by Nonlinear Learning.

We propose a method that obtains a discriminative visual dictionary and a nonlinear classifier for visual tracking tasks in a sparse coding manner based on the globally linear approximation for a nonl...

Lp- and Ls-Norm Distance Based Robust Linear Discriminant Analysis.

Recently, L1-norm distance measure based Linear Discriminant Analysis (LDA) techniques have been shown to be robust against outliers. However, these methods have no guarantee of obtaining a satisfacto...

Large-Scale Metric Learning: A Voyage From Shallow to Deep.

Despite its attractive properties, the performance of the recently introduced Keep It Simple and Straightforward MEtric learning (KISSME) method is greatly dependent on principal component analysis as...

Neuroimaging Retrieval via Adaptive Ensemble Manifold Learning for Brain Disease Diagnosis.

Alzheimer's disease (AD) is a neurodegenerative and non-curable disease, with serious cognitive impairment, such as dementia. Clinically, it is critical to study the disease with multi-source data in ...

An autoencoder based formulation for compressed sensing reconstruction.

This work proposes a new formulation for image reconstruction based on the autoencoder framework. The work follows the adaptive approach used in prior dictionary and transform learning based reconstru...

Clinical Trials [6333 Associated Clinical Trials listed on BioPortfolio]

Enduring Exercise Habits: Trending Norms

Learning that most people engage in an activity can be a powerful motivator to adoption. But are there instances in which people can similarly find motivation from learning that only a min...

Enhanced Broccoli Consumption After a Liking Norm and Vegetable Variety Message: Effects After a 24 Hour Delay.

Encouraging individuals to eat vegetables is difficult. However, recent evidence suggests that using social-based information might help. For instance, it has been shown that if people thi...

The Effect of a Descriptive Norm Promoting Vegetable Selection in a Workplace Restaurant Setting: an Observational Study

Encouraging individuals to eat fruit and vegetables is difficult. However, recent evidence suggests that using social-based information might help. For instance, it has been shown that if ...

Cost-effectiveness Analysis and Case-based Payment Norm Modeling on Appendicitis Patients at Hanoi Medical University Hospital

In the world, there are several studies comparing the cost-effectiveness between laparoscopic appendectomy and open appendectomy. But in Vietnam, health economics studies for acute appendi...

E-learning Module to Improve Laboratory Prescriptions

Objective: To evaluate the effectiveness of a web based learning module in the prescription of laboratory examens by postgraduate medical students. Background: The internal medicine servi...

Medical and Biotech [MESH] Definitions

A method of chemical analysis based on the detection of characteristic radionuclides following a nuclear bombardment. It is also known as radioactivity analysis. (McGraw-Hill Dictionary of Scientific and Technical Terms, 4th ed)

Process in which individuals take the initiative, in diagnosing their learning needs, formulating learning goals, identifying resources for learning, choosing and implementing learning strategies and evaluating learning outcomes (Knowles, 1975)

Analysis based on the mathematical function first formulated by Jean-Baptiste-Joseph Fourier in 1807. The function, known as the Fourier transform, describes the sinusoidal pattern of any fluctuating pattern in the physical world in terms of its amplitude and its phase. It has broad applications in biomedicine, e.g., analysis of the x-ray crystallography data pivotal in identifying the double helical nature of DNA and in analysis of other molecules, including viruses, and the modified back-projection algorithm universally used in computerized tomography imaging, etc. (From Segen, The Dictionary of Modern Medicine, 1992)

A MACHINE LEARNING paradigm used to make predictions about future instances based on a given set of unlabeled paired input-output training (sample) data.

A MACHINE LEARNING paradigm used to make predictions about future instances based on a given set of labeled paired input-output training (sample) data.

Quick Search


DeepDyve research library

Relevant Topic

Antiretroviral therapy
Standard antiretroviral therapy (ART) consists of the combination of at least three antiretroviral (ARV) drugs to maximally suppress the HIV virus and stop the progression of HIV disease. Huge reductions have been seen in rates of death and suffering whe...

Searches Linking to this Article