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A Multifactorial Optimization Framework Based on Adaptive Intertask Coordinate System
- Source :
- IEEE Transactions on Cybernetics. 52:6745-6758
- Publication Year :
- 2022
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2022.
-
Abstract
- The searching ability of the population-based search algorithms strongly relies on the coordinate system on which they are implemented. However, the widely used coordinate systems in the existing multifactorial optimization (MFO) algorithms are still fixed and might not be suitable for various function landscapes with differential modalities, rotations, and dimensions; thus, the intertask knowledge transfer might not be efficient. Therefore, this article proposes a novel intertask knowledge transfer strategy for MFOs implemented upon an active coordinate system that is established on a common subspace of two search spaces. The proper coordinate system might identify some common modality in a proper subspace to some extent. In this article, to seek the intermediate subspace, we innovatively introduce the geodesic flow that starts from a subspace, reaching another subspace in unit time. A low-dimension intermediate subspace is drawn from a uniform distribution defined on the geodesic flow, and the corresponding coordinate system is given. The intertask trial generation method is applied to the individuals by first projecting them on the low-dimension subspace, which reveals the important invariant features of the multiple function landscapes. Since intermediate subspace is generated from the major eigenvectors of tasks' spaces, this model turns out to be intrinsically regularized by neglecting the minor and small eigenvalues. Therefore, the transfer strategy can alleviate the influence of noise led by redundant dimensions. The proposed method exhibits promising performance in the experiments.
- Subjects :
- Computer science
Coordinate system
Population
Feature extraction
02 engineering and technology
Search algorithm
0202 electrical engineering, electronic engineering, information engineering
Humans
Electrical and Electronic Engineering
Invariant (mathematics)
Differential (infinitesimal)
education
Eigenvalues and eigenvectors
education.field_of_study
05 social sciences
050301 education
Function (mathematics)
Manifold
Computer Science Applications
Human-Computer Interaction
Control and Systems Engineering
020201 artificial intelligence & image processing
0503 education
Algorithm
Algorithms
Software
Subspace topology
Information Systems
Subjects
Details
- ISSN :
- 21682275 and 21682267
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Cybernetics
- Accession number :
- edsair.doi.dedup.....4e8308046c00f845165c6176a1f60f81