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A study of EHVI vs fixed scalarization for molecule design

arXiv 2507.13704 ↗First posted 18 Jul 2025cs.LG stat.MLcited by 0

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Abstract (arXiv)

Multi-objective Bayesian optimization (MOBO) provides a principled framework for navigating trade-offs in molecular design. However, its empirical advantages over scalarized alternatives remain underexplored. We benchmark a simple Pareto-based MOBO strategy - Expected Hypervolume Improvement (EHVI) - against a simple fixed-weight scalarized baseline using Expected Improvement (EI), under a tightly controlled setup with identical Gaussian Process surrogates and molecular representations. Across three molecular optimization tasks, EHVI consistently outperforms scalarized EI in terms of Pareto front coverage, convergence speed, and chemical diversity. While scalarization encompasses flexible variants - including random or adaptive schemes - our results show that even strong deterministic instantiations can underperform in low-data regimes. These findings offer concrete evidence for the practical advantages of Pareto-aware acquisition in de novo molecular optimization, especially when evaluation budgets are limited and trade-offs are nontrivial.

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References · 15

  1. 2018GuacaMol: Benchmarking Models for De Novo Molecular Designcited by 297
  2. 2020Differentiable Expected Hypervolume Improvement for Parallel Multi-Objective Bayesian Optimizationcited by 179
  3. 2022Sample Efficiency Matters: A Benchmark for Practical Molecular Optimizationcited by 155
  4. 2018A Flexible Framework for Multi-Objective Bayesian Optimization using Random Scalarizationscited by 99
  5. 2015Predictive Entropy Search for Multi-objective Bayesian Optimizationcited by 88
  6. 2020Random Hypervolume Scalarizations for Provable Multi-Objective Black Box Optimizationcited by 60
  7. 2023Sample-efficient Multi-objective Molecular Optimization with GFlowNetscited by 50
  8. 2022Computer-Aided Multi-Objective Optimization in Small Molecule Discoverycited by 31
  9. 2021How Much Space Has Been Explored? Measuring the Chemical Space Covered by Databases and Machine-Generated Moleculescited by 27
  10. 2024Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimizationcited by 16
  11. 2024Pareto Front-Diverse Batch Multi-Objective Bayesian Optimizationcited by 13
  12. 2024Diagnosing and fixing common problems in Bayesian optimization for molecule designcited by 9
3 more
  1. 2022PropertyDAG: Multi-objective Bayesian optimization of partially ordered, mixed-variable properties for biological sequence designcited by 8
  2. 2023Pareto Optimization to Accelerate Multi-Objective Virtual Screeningcited by 6
  3. 2023Using Scalarizations for the Approximation of Multiobjective Optimization Problems: Towards a General Theorycited by 2

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