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arXiv 2204.04348cs.LGcs.NE
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神经元多样性可以改善物理学及其他领域的机器学习

Neuronal diversity can improve machine learning for physics and beyond

North Carolina State University(北卡罗来纳州立大学);The Jackson Laboratory for Genomic Medicine(杰克逊基因组医学实验室);The College of Wooster(伍斯特学院);Indian Institute of Science Education and Research Mohali(印度科学教育与研究学院莫哈利分校)

Anshul Choudhary, Anil Radhakrishnan, John F. Lindner, Sudeshna Sinha, William L. Ditto

AI总结:

本研究提出由学习自身激活函数并快速多样化的神经元构建神经网络,在图像分类和非线性回归上超越同质网络,并通过多个物理示例展示学习到的多样性的优势。

摘要:

多样性在自然界中具有优势,然而人工神经网络的层通常由同质神经元组成。在此,我们构建了由学习自身激活函数的神经元组成的神经网络,这些神经元快速多样化,并随后在图像分类和非线性回归任务上优于其同质对应网络。子网络实例化这些神经元,它们元学习特别高效的非线性响应集合。示例包括对数字进行分类和预测范德波尔振荡器的传统神经网络,以及学习Hénon-Heiles恒星轨道和视频记录的摆钟摆动的物理信息哈密顿神经网络。这种“学习到的多样性”提供了动态系统选择多样性而非一致性的例子,并阐明了多样性在自然和人工系统中的作用。

英文摘要:

Diversity conveys advantages in nature, yet homogeneous neurons typically comprise the layers of artificial neural networks. Here we construct neural networks from neurons that learn their own activation functions, quickly diversify, and subsequently outperform their homogeneous counterparts on image classification and nonlinear regression tasks. Sub-networks instantiate the neurons, which meta-learn especially efficient sets of nonlinear responses. Examples include conventional neural networks classifying digits and forecasting a van der Pol oscillator and physics-informed Hamiltonian neural networks learning Hénon-Heiles stellar orbits and the swing of a video recorded pendulum clock. Such \textit{learned diversity} provides examples of dynamical systems selecting diversity over uniformity and elucidates the role of diversity in natural and artificial systems.

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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