一个框架,以提高黑盒子变化推理的可靠性
Manushi Welandawe1, Michael Riis Andersen2, Aki Vehtari3
1Department of Mathematics & Statistics, Boston University, USA.
概括
强大的和自动化的黑盒VI (RABVI) 增强了贝叶斯推理的可靠性. 这个框架自动化优化,检测不准确的近似,并平衡精度与计算成本,以获得更好的结果.
科学领域:
- 机器学习 机器学习
- 统计 统计 统计 统计
- 计算统计学 计算统计学
背景情况:
- 黑盒变量推理 (BBVI) 是一个流行的近似贝叶斯推理方法,比传统的马尔科夫链蒙特卡洛 (MCMC) 方法提供速度和灵活性.
- 然而,对于BBVI而言,现有的随机优化技术往往缺乏可靠性,需要大量的手动调整.
- 这就需要开发更强大的自动化方法,以便在实践中应用.
研究的目的:
- 引入强大的和自动化的黑盒VI (RABVI),一个新的框架,旨在显著提高BBVI优化的可靠性.
- 提供一个用户友好的系统,最小的直观调参数,自动化复杂的优化流程.
- 为了使用户能够有效地平衡计算成本与变化近似的所需精度.
主要方法:
- 为了可靠的优化,RABVI采用严格合理的自动化技术.
- 它在检测固定学习率代的趋同时,可自适应地调整学习率.
- 该框架估计了对称的Kullback-Leibler (KL) 分歧,并使用了一个新的终结标准来平衡准确性和计算成本.
主要成果:
- 在优化BBVI方面,RABVI表现出更好的稳定性和准确性.
- 该框架成功地检测到最佳变化近似的不准确估计.
- 模拟研究和现实世界的例子验证了RABVI的有效性.
结论:
- 拉比为使BBVI更可靠,更易于用于机器学习和统计应用提供了重大进展.
- 自动化和自适应性学习速度调整减少了对专家知识和手工调整的需求.
- 拟议的终止标准提供了一种实际的方式来管理精度和计算资源之间的权衡.
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