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arXiv 2002.08891q-bio.NCphysics.data-anq-bio.QM

深度神经网络在关节处雕刻大脑

Deep Neural Networks Carve the Brain at its Joints

Maxwell A. Bertolero, Dustin Moraczewski, Adam Thomas, Danielle S. Bassett

AI总结:

针对52项认知行为指标比较DNN与线性回归,发现脑区级DNN尤其擅长连接枢纽预测,跨区平均效果最佳,并借助多层网络模型揭示模块化架构的可解释性。

摘要:

个体独特的大脑连接如何决定其认知、行为和病理风险,是基础与临床神经科学中的一个根本问题。在寻找答案时,许多人转向机器学习,其中一些人注意到深度神经网络在建模复杂非线性函数方面的特殊前景。然而,目前尚不清楚大脑连接与行为之间是否确实存在复杂函数,因此也不清楚深度神经网络是否必然优于更简单的线性模型,或者其结果是否具有可解释性。在此,我们表明,在52项认知和行为受试者测量指标中,针对每个脑区连接拟合的深度神经网络优于线性回归,尤其是对于大脑的连接枢纽——即具有多样化大脑连接的脑区;而当针对脑系统进行拟合时,两种方法表现相似。关键在于,将各脑区的深度神经网络预测进行平均可获得最准确的预测,这证明深度神经网络能够轻松建模脑区连接与行为之间存在的各种函数,从而在关节处雕刻大脑。最后,我们利用多层网络模型照亮深度神经网络的黑箱。我们确定,连接枢纽与行为之间的关系最适合由模块化深度神经网络捕捉。研究结果表明,大脑连接与行为之间同时存在简单和复杂关系,而深度神经网络可以拟合两者。此外,当深度神经网络先独立拟合一个系统的各种函数、随后再加以组合时,其功能尤为强大。最后,当利用多层网络模型在结构上刻画深度神经网络的架构时,它们是可解释的。

英文摘要:

How an individual's unique brain connectivity determines that individual's cognition, behavior, and risk for pathology is a fundamental question in basic and clinical neuroscience. In seeking answers, many have turned to machine learning, with some noting the particular promise of deep neural networks in modelling complex non-linear functions. However, it is not clear that complex functions actually exist between brain connectivity and behavior, and thus if deep neural networks necessarily outperform simpler linear models, or if their results would be interpretable. Here we show that, across 52 subject measures of cognition and behavior, deep neural networks fit to each brain region's connectivity outperform linear regression, particularly for the brain's connector hubs--regions with diverse brain connectivity--whereas the two approaches perform similarly when fit to brain systems. Critically, averaging deep neural network predictions across brain regions results in the most accurate predictions, demonstrating the ability of deep neural networks to easily model the various functions that exists between regional brain connectivity and behavior, carving the brain at its joints. Finally, we shine light into the black box of deep neural networks using multislice network models. We determined that the relationship between connector hubs and behavior is best captured by modular deep neural networks. Our results demonstrate that both simple and complex relationships exist between brain connectivity and behavior, and that deep neural networks can fit both. Moreover, deep neural networks are particularly powerful when they are first fit to the various functions of a system independently and then combined. Finally, deep neural networks are interpretable when their architectures are structurally characterized using multislice network models.

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