학술논문

Gather and Conquer: Region-Based Strategies to Accelerate Safe Screening Tests
Document Type
Periodical
Source
IEEE Transactions on Signal Processing IEEE Trans. Signal Process. Signal Processing, IEEE Transactions on. 67(12):3300-3315 Jun, 2019
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Computing and Processing
Dictionaries
Standards
Complexity theory
Optimization
Computational efficiency
Signal processing algorithms
Geometry
Optimization methods
machine learning algorithms
computational efficiency
Language
ISSN
1053-587X
1941-0476
Abstract
In this paper, we propose new methodologies to decrease the computational cost of safe screening tests for LASSO. We first introduce a new screening strategy, dubbed “joint screening test,” which allows the rejection of a set of atoms by performing one single test. Our approach enables to find good compromises between complexity of implementation and effectiveness of screening. Second, we propose two new methods to decrease the computational cost inherent to the construction of the (so-called) “safe region.” Our numerical experiments show that the proposed procedures lead to significant computational gains as compared to standard methodologies.