用统一模型同时优化目标、约束和敏感度,大幅减少计算量。
Joint Surrogate Learning of Objectives, Constraints, and Sensitivities for Efficient Multi-objective Optimization of Neural Dynamical Systems
- 构建联合代理模型,同时学习目标、约束与参数敏感性。
- 在超算规模下仅用少量评估即完成高约束优化任务。
- 适用于神经动力系统等复杂科学问题的高效求解。
生物物理神经系统的模拟是计算最密集的科学应用之一,其优化需在大量约束条件下探索高维参数空间,这些约束构成二值可行/不可行划分,且无梯度信号引导搜索。本文提出DMOSOPT,一种可扩展的优化框架,通过联合学习一个统一代理模型,捕捉目标、约束与参数敏感性之间的相互作用。该模型学习目标函数曲面与可行性边界的平滑近似,提供统一梯度,同时引导优化向更优目标值和更高约束满足度推进;其偏导数还给出各参数的敏感性估计,支持更精准的探索。我们在单细胞动力学到群体网络活动的神经回路建模流程中验证该框架,展示了在超算规模下对高度约束问题的高效有效优化,显著减少了问题评估次数。尽管以计算神经科学为背景,该框架具有通用性,可推广至科学与工程中的各类约束多目标优化问题。
原文摘要 · Abstract (English)
Biophysical neural system simulations are among the most computationally demanding scientific applications, and their optimization requires navigating high-dimensional parameter spaces under numerous constraints that impose a binary feasible/infeasible partition with no gradient signal to guide the search. Here, we introduce DMOSOPT, a scalable optimization framework that leverages a unified, jointly learned surrogate model to capture the interplay between objectives, constraints, and parameter sensitivities. By learning a smooth approximation of both the objective landscape and the feasibility boundary, the joint surrogate provides a unified gradient that simultaneously steers the search toward improved objective values and greater constraint satisfaction, while its partial derivatives yield per-parameter sensitivity estimates that enable more targeted exploration. We validate the framework from single-cell dynamics to population-level network activity, spanning incremental stages of a neural circuit modeling workflow, and demonstrate efficient, effective optimization of highly constrained problems at supercomputing scale with substantially fewer problem evaluations. While motivated by and demonstrated in the context of computational neuroscience, the framework is general and applicable to constrained multi-objective optimization problems across scientific and engineering domains.
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