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README.md

GLODS vs NOMAD vs GLODS-SI (3-way comparison)

This folder contains the complete results of the three-algorithm comparison (GLODS, NOMAD, and GLODS-SI) used in the accompanying paper:

J. F. A. Madeira, GLODS-SI: Scale-Invariant Global-Local Direct Search for Engineering Design Optimization, Journal of Computational Design and Engineering, 2026. Manuscript ID JCDE-2026-065.

Figures used in the manuscript

The following PDF files correspond directly to the figures in the paper:

  • Profile_3way_baseline_BEST.pdf — Figure 3 (κ = 1)
  • Profile_3way_extreme_BEST.pdf — Figure 4 (κ = 10⁸)
  • Profile_3way_halton_oscillatory_BEST.pdf — Figure 5 (κ = 10⁶)
  • Profile_3way_spatial_thermal_BEST.pdf — Figure 6 (κ ≈ 9 × 10⁴)

Additional scaling regimes

Profiles for the four scaling strategies not shown in the paper are also provided for completeness:

  • Profile_3way_moderate_BEST.pdf (κ = 10⁴)
  • Profile_3way_progressive_BEST.pdf (κ = 10⁶)
  • Profile_3way_sobol_oscillatory_BEST.pdf (κ = 10⁶)
  • Profile_3way_sobol_digit_oscillatory_BEST.pdf (κ = 10⁸)

Summary tables

For each scaling regime, an ASCII summary file reports success rates at selected evaluation budgets:

  • Summary_3way_<strategy>_BEST.txt (one per strategy, eight files)

These files use the same performance criterion as the data profiles: a problem p is considered solved at evaluation k for algorithm a when

H(k, p, a) <= f_min(p) + tau * (f_0(p) - f_min(p)),     tau = 1e-5,

with f_min(p) taken as the joint minimum across all three algorithms.

LaTeX table

  • latex_table_3way.tex

Auto-generated LaTeX source containing two tables: final success rates across all eight strategies, and success rates at three reference budgets (500, 2000, 20000 function evaluations).

Reproducibility

All files were generated by the script profile_GLODS_vs_NOMAD_vs_GLODSSI_all_strategies.m (located in the local working directory used to produce the paper) from the raw optimization runs in results_GLODS_*_BEST/, results_GLODS_SI_*_BEST/, and results_NOMAD_*_BEST/. The pipeline is deterministic: rerunning with the same benchmark suite and the default parameters listed in parameters_glods_si.m reproduces these files exactly.