Linear Proposal Operators and Stochastic Search Geometry in SOMA and Differential Evolution
Swarm and evolutionary algorithms are usually analyzed as complete procedural systems in which nonlinear selection, replacement, and adaptation obscure simpler structure within candidate generation. This paper introduces an operator--selection factorization that separates objective-independent variation from boundary repair and fitness-dependent selection, and uses it to study the proposal geometry of the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE). The canonical SOMA proposal is shown to be affine in the search space and exactly linear in an augmented migrant--leader state. In leader-relative coordinates, the resulting operator provides a direct interpretat...
| Authors | Vojtěch Novák, Ivan Zelinka |
|---|---|
| Primary category | cs.NE |
| Published | 31 July 2026 |
| Last updated at source | 31 July 2026 |
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