A novel binary quasi-affine transformation evolutionary (Quatre) algorithm

Shu Chuan Chu, Zhongjie Zhuang, Junbao Li, Jeng Shyang Pan

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
17 Downloads (Pure)


QUasi-Affine TRansformation Evolutionary (QUATRE) algorithm generalized differential evolution (DE) algorithm to matrix form. QUATRE was originally designed for a continuous search space, but many practical applications are binary optimization problems. Therefore, we designed a novel binary version of QUATRE. The proposed binary algorithm is implemented using two different approaches. In the first approach, the new individuals produced by mutation and crossover operation are binarized. In the second approach, binarization is done after mutation, then cross operation with other individuals is performed. Transfer functions are critical to binarization, so four families of transfer functions are introduced for the proposed algorithm. Then, the analysis is performed and an improved transfer function is proposed. Furthermore, in order to balance exploration and exploitation, a new liner increment scale factor is proposed. Experiments on 23 benchmark functions show that the proposed two approaches are superior to state-of-the-art algorithms. Moreover, we applied it for dimensionality reduction of hyperspectral image (HSI) in order to test the ability of the proposed algorithm to solve practical problems. The experimental results on HSI imply that the proposed methods are better than Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA).

Original languageEnglish
Article number2251
Number of pages30
JournalApplied Sciences (Switzerland)
Issue number5
Publication statusPublished - 1 Mar 2021


  • Binary
  • Dimension reduction
  • Hyperspectral image
  • Transfer function


Dive into the research topics of 'A novel binary quasi-affine transformation evolutionary (Quatre) algorithm'. Together they form a unique fingerprint.

Cite this