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Neural Exploratory Landscape Analysis for Meta-Black-Box-Optimization

ICLR 2025 · Probabilistic and scientific modeling › Bayesian optimization · approach: Offline black-box optimization with surrogates · 0 citations (OpenAlex)

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Proposes NeurELA, a two-stage attention neural landscape analyser that replaces hand-crafted ELA features in MetaBBO methods, trained end-to-end via Fast CMA-ES neuroevolution over multiple MetaBBO tasks.

Problem

MetaBBO methods rely on human-crafted exploratory landscape analysis (ELA) features to profile low-level optimization status; these features are correlated, sampling-sensitive, offline, and costly in function evaluations.

Approach

A learnable attention-based landscape analyser (population information embedding plus cross-solution and cross-dimension attention) that dynamically profiles optimization status and is pre-trained by neuroevolution to maximize relative meta-level performance gain across several MetaBBO tasks, so it can be used zero-shot or fine-tuned.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the original landscape analyser with pre-trained NeurELAUnseen MetaBBO algorithms · Unseen MetaBBO algorithmsrelative performanceHelped
Replace the original landscape analyser with pre-trained NeurELAMetaBBO tasks · BBOB-Noisy and Protein-Dockingrelative performanceHelped
Replace the original landscape analyser with pre-trained NeurELAMetaBBO tasks · Unseen algorithms and unseen problem setsrelative performanceHelped
Use ELA features instead of the original analyserEvaluated MetaBBO tasks · Zero-shot tasksrelative performanceMixed
Fine-tune pre-trained NeurELA jointly with the meta-policyLDE, RLPSO, and GLEET · BBOB or Protein-Dockingperformance gain: less than 20% meta-training epochsHelped
Train NeurELA with Fast CMA-ES rather than another tested evolution strategy (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHelped
Replace Fast CMA-ES with SEP-CMAES for training (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt
Replace Fast CMA-ES with R1ES for training (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt
Replace Fast CMA-ES with RMES for training (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt
Replace Fast CMA-ES with CMAES for training (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt
Replace the two-stage attention module with a linear feed-forward layer (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt
Increase Ts-Attn model complexity (ablation)NeurELA · Unseen algorithms and unseen problem setsrelative performanceHurt

Surprising findings

Limitations

Experimental setup

Datasets: BBOB (COCO) BBOB-Noisy Protein-Docking

Benchmarks: BBOB BBOB-Noisy Protein-Docking

Metrics: Z-score normalized relative performance wall-time for feature computation

Baselines: Original hand-crafted landscape analyser ELA DeepELA DEDDQN RLPSO GLEET MelBA GLHF

Builds on: MetaBBO Exploratory Landscape Analysis DeepELA Fast CMA-ES MetaBox

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