RDEx-CASK: Cauchy Mutation, Archive, and Stagnation Kick for RDEx-CSOP

TL;DR

RDEx-CASK enhances RDEx-CSOP with Cauchy mutation, archive, and stagnation kick strategies, significantly improving optimization performance on benchmark problems.

Contribution

It introduces three novel modifications to RDEx-CSOP targeting stagnation and variance, including Cauchy sampling, a small archive, and local overrides.

Findings

RDEx-CASK is competitive with RDEx, UDE-III, and CL-SRDE.

It improves time-to-target on most benchmark problems.

Maintains feasibility-aware quality in optimization results.

Abstract

We extend RDEx-CSOP with 3 changes that target stagnation & late-stage variance, plus minor parameter tuning. The second scale factor in the standard branch is sampled independently from a truncated Cauchy. A small feasible-only JADE-style archive (|A|_max = 50) is added & sampled with probability |A|/(|A|+|P|). Per-individual stagnation counter triggers, after 180 no-improvement generations, three local overrides on standard branch: pull toward the global best, lift the archive sampling floor to 0.65, & saturate CR to 0.95 when population success rate is below 0.10. The exploitation biased branch & every other RDEx component are left untouched. On CEC CSOP suite (D=30, 25 runs), RDEx-CASK is competitive with RDEx, UDE-III, & CL-SRDE in feasibility-aware quality & improves time-to-target on most problems.