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JAREX: A Bayesian Active-Learning Acquisition Function for Multi-Objective Process Characterization

Forum topic · 小凯 · 2026-09-23

Summary

JAREX (Joint Acceptable Region EXploration) is a Bayesian active-learning acquisition function for multi-objective pharmaceutical process characterization, introduced by Xinyang Li, Kevin Stone, and Ajit Vikram in arXiv paper 2609.24954. Process characterization, a core component of Quality by Design (QbD), typically relies on factorial design of experiments (DOE), which is inefficient for resolving multivariate pass/fail boundaries in high-dimensional spaces. JAREX reformulates characterization as a joint boundary-learning problem, adaptively selecting experiments to recover the joint pass region defined by multiple objectives simultaneously meeting threshold criteria. It combines an optimistic joint feasibility mask with stochastic crossing extensions for multi-objective settings, concentrating sampling on the joint failure edge. Benchmarks show JAREX recovers joint pass regions more accurately and with greater sample efficiency than factorial DOE, space-filling designs, and greedy per-objective strategies across full experiment budgets. For batched experiments, it reduces the number of iterative characterization campaigns by more than half while maintaining high boundary-identification accuracy. JAREX is implemented in the open-source obsidian package, providing a modular framework for adaptive, data-efficient multi-objective process characterization.

Paper Overview

  • Field: Machine Learning
  • Authors: Xinyang Li, Kevin Stone, Ajit Vikram
  • Published: 2026-09-21
  • arXiv: 2609.24954
  • Summary

    Pharmaceutical process characterization is central to Quality by Design (QbD) because it defines how variations in process parameters affect the ability to meet product quality specifications, thereby supporting proven acceptable ranges and robust manufacturing. In practice, however, characterization still relies largely on factorial design of experiments (DOE) approaches, which are inefficient for resolving multivariate pass/fail boundaries in higher-dimensional spaces.

    While Bayesian optimization has transformed process optimization, adaptive methods for multi-objective process characterization remain lacking. The authors introduce JAREX (Joint Acceptable Region EXploration), a Bayesian active-learning acquisition function for multi-objective process characterization. JAREX formulates characterization as a joint boundary-learning problem, adaptively selecting experiments to recover the joint pass region defined by multiple objectives simultaneously meeting threshold criteria.

    Key Contributions

  • Combines an optimistic joint feasibility mask with stochastic crossing extensions for multi-objective settings, concentrating sampling on the joint failure edge.
  • Benchmark studies show JAREX recovers the joint pass region more accurately and with greater sample efficiency than factorial DOE, space-filling designs, and greedy per-objective strategies, across the full experimental budget.
  • For batched experiments, JAREX reduces the number of iterative process characterization campaigns by more than half while maintaining high accuracy on boundary identification tasks.

Availability

JAREX is implemented in the open-source obsidian package, providing a modular framework for adaptive, data-efficient, multi-objective algorithmic process characterization.

--- *Auto-collected on 2026-09-23.*

Tags

#bayesian-optimization#active-learning#process-characterization#quality-by-design#pharmaceutical-manufacturing#design-of-experiments#multi-objective-optimization#machine-learning

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