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积极学习适应替代模型改进在高维问题
Yulin Guo1, Paromita Nath2, Sankaran Mahadevan1
1Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN 37235 USA.
概括
本研究介绍了一种有效的方法,用于构建具有高维输入和输出的替代模型. 它使用主动子空间和自适应学习来提高复杂模拟的模型准确性,例如增材制造残余应力.
科学领域:
- 计算科学与工程 计算科学与工程
- 机器学习 机器学习
- 材料科学 材料科学 材料科学
背景情况:
- 替代模型对于计算上昂贵的模拟至关重要.
- 现有的自适应式学习方法在高维度输出方面扎.
- 精确建模复杂的系统,如增材制造具有挑战性.
研究的目的:
- 开发一种有效的方法来构建和改进用于高维输入和输出问题的替代模型.
- 解决当前适应式学习技术在处理复杂,高维度输出方面的局限性.
- 为了提高模拟的准确性和效率,用于诸如增材制造等应用.
主要方法:
- 确定了高维输出的主要组件和特征.
- 应用主动子空间技术,为每个特征找到低维的输入子空间.
- 开发了一种新的低维适应性学习策略,为高维输出提供了探索-利用平衡.
- 将新的训练样本映射回物理模型运行的原始空间.
主要成果:
- 在增材制造部件的数值模拟上证明了该方法的有效性.
- 成功建模了具有空间可变性的高维余应力场.
- 研究了各种适应性学习参数对表现的影响.
结论:
- 拟议的方法有效地构建和改进了高维问题的替代模型.
- 适应性学习策略通过平衡探索和开发,有效地处理高维度输出.
- 这种方法为模拟复杂的工程过程 (如增材制造) 提供了重大进步.
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