arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2512.22999stat.MLcs.AIcs.LG

JADAI:联合摊销自适应设计与贝叶斯推理

JADAI: Jointly Amortizing Adaptive Design and Bayesian Inference

Rensselaer Polytechnic Institute(伦斯勒理工学院);TU Dortmund University(多特蒙德技术大学);University of Oxford(牛津大学)

Niels Bracher, Lars Kühmichel, Desi R. Ivanova, Xavier Intes, Paul-Christian Bürkner, Stefan T. Radev

AI总结:

针对设计变量可优化以最大化信息增益的参数估计问题,引入JADAI框架,通过端到端训练策略、历史网络和推理网络联合摊销贝叶斯自适应设计与推理,在标准基准测试中性能优越。

摘要:

我们考虑设计变量可主动优化以最大化信息增益的参数估计问题。为此,我们引入JADAI,一个通过端到端训练策略、历史网络和推理网络来联合摊销贝叶斯自适应设计和推理的框架。这些网络最小化一个通用损失,该损失汇总了沿实验序列后验误差的增量减少。推理网络用基于扩散的后验估计器实例化,该估计器可在每个实验步骤近似高维多峰后验。在标准自适应设计基准中,JADAI实现了优越或有竞争力的性能。

英文摘要:

We consider problems of parameter estimation where design variables can be actively optimized to maximize information gain. To this end, we introduce JADAI, a framework that jointly amortizes Bayesian adaptive design and inference by training a policy, a history network, and an inference network end-to-end. The networks minimize a generic loss that aggregates incremental reductions in posterior error along experimental sequences. Inference networks are instantiated with diffusion-based posterior estimators that can approximate high-dimensional and multimodal posteriors at every experimental step. Across standard adaptive design benchmarks, JADAI achieves superior or competitive performance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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