Research map / Probabilistic and scientific modeling / Bayesian optimization
Neural Exploratory Landscape Analysis for Meta-Black-Box-Optimization
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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
- NeurELA gives generally superior zero-shot performance over Original, ELA and DeepELA across unseen MetaBBO algorithms and problem sets, with the largest gain in the unseen algorithm + unseen problem case.
- Fine-tuning NeurELA needs less than 20% of meta-training epochs to reach similar zero-shot performance.
- Fast CMA-ES was selected as the neuroevolution optimizer over SEP-CMAES, R1ES, RMES and CMA-ES; the analyser has 3296 learnable parameters.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace the original landscape analyser with pre-trained NeurELA | Unseen MetaBBO algorithms · Unseen MetaBBO algorithms | relative performance | Helped |
| Replace the original landscape analyser with pre-trained NeurELA | MetaBBO tasks · BBOB-Noisy and Protein-Docking | relative performance | Helped |
| Replace the original landscape analyser with pre-trained NeurELA | MetaBBO tasks · Unseen algorithms and unseen problem sets | relative performance | Helped |
| Use ELA features instead of the original analyser | Evaluated MetaBBO tasks · Zero-shot tasks | relative performance | Mixed |
| Fine-tune pre-trained NeurELA jointly with the meta-policy | LDE, RLPSO, and GLEET · BBOB or Protein-Docking | performance gain: less than 20% meta-training epochs | Helped |
| Train NeurELA with Fast CMA-ES rather than another tested evolution strategy (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Helped |
| Replace Fast CMA-ES with SEP-CMAES for training (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
| Replace Fast CMA-ES with R1ES for training (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
| Replace Fast CMA-ES with RMES for training (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
| Replace Fast CMA-ES with CMAES for training (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
| Replace the two-stage attention module with a linear feed-forward layer (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
| Increase Ts-Attn model complexity (ablation) | NeurELA · Unseen algorithms and unseen problem sets | relative performance | Hurt |
Surprising findings
- Traditional ELA features yield noisy, sometimes inferior results when integrated into MetaBBO tasks, attributed to correlations among feature groups.
- Increasing model complexity (more Ts-Attn layers or larger hidden size) causes zero-shot performance to drop rapidly, attributed to the limits of evolution strategies at large scale.
Limitations
- Training efficiency is low; zero-shot performance drops as model complexity grows because the meta-objective is non-differentiable and ES struggles at large scale.
- Evaluated only on three MetaBBO training tasks and a limited set of BBOB/noisy/protein-docking problems.
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
Closest papers by meaning
- $\texttt{MetaDistill}$: Unlocking the Performance Ceiling for Pretrained Optimizers (ICML 2026 · similarity 0.87)
- Meta-Black-Box Optimization with Bi-Space Landscape Analysis and Dual-Control Mechanism for SAEA (AAAI 2026 · similarity 0.87)
- MetaBox-v2: A Unified Benchmark Platform for Meta-Black-Box Optimization (NeurIPS 2025 · similarity 0.86)
- Neuro-Visualizer: A Novel Auto-Encoder-Based Loss Landscape Visualization Method With an Application in Knowledge-Guided Machine Learning (ICML 2024 · similarity 0.83)
- Meta-Black-Box-Optimization through Offline Q-function Learning (ICML 2025 · similarity 0.83)
- SYMBOL: Generating Flexible Black-Box Optimizers through Symbolic Equation Learning (ICLR 2024 · similarity 0.82)
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