arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.05516cs.LG

Probability-Density-Based Deep Learning Paradigm for the Fuzzy Design of Functional Metastructures

Innovative Institute, Huazhong University of Science and Technology(华中科技大学创新研究院);Institute of Acoustics, Tongji University(同济大学声学研究所);Advanced Science Research Center, City University of New York(纽约城市大学高级科学研究中心);Department of Mechanical Engineering, Hong Kong Polytechnic University(香港理工大学机械工程系);Hong Kong Polytechnic University Shenzhen Research Institute(香港理工大学深圳研究院)

Ying-Tao Luo, Peng-Qi Li, Dong-Ting Li, Yu-Gui Peng, Zhi-Guo Geng, Shu-Huan Xie, Yong Li, Andrea Alu, Jie Zhu, Xue-Feng Zhu

英文摘要:

In quantum mechanics, a norm squared wave function can be interpreted as the probability density that describes the likelihood of a particle to be measured in a given position or momentum. This statistical property is at the core of the fuzzy structure of microcosmos. Recently, hybrid neural structures raised intense attention, resulting in various intelligent systems with far-reaching influence. Here, we propose a probability-density-based deep learning paradigm for the fuzzy design of functional meta-structures. In contrast to other inverse design methods, our probability-density-based neural network can efficiently evaluate and accurately capture all plausible meta-structures in a high-dimensional parameter space. Local maxima in probability density distribution correspond to the most likely candidates to meet the desired performances. We verify this universally adaptive approach in but not limited to acoustics by designing multiple meta-structures for each targeted transmission spectrum, with experiments unequivocally demonstrating the effectiveness and generalization of the inverse design.

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