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arXiv 2007.01378q-bio.NC
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使用变分自编码器的大脑集体动力学的生成嵌入

Generative embeddings of brain collective dynamics using variational autoencoders

Yonatan Sanz Perl, Hernán Boccacio, Ignacio Pérez-Ipiña, Federico Zamberlán, Helmut Laufs, Morten Kringelbach, Gustavo Deco, Enzo Tagliazucchi

摘要:

我们考虑的问题,编码成对的耦合动力系统之间的相关性在一个低维的潜在空间基于几个不同的意见。我们使用变分自编码器(VAE)嵌入耦合非线性振荡器之间的时间相关性,该振荡器将清醒-睡眠周期中的大脑状态建模为二维流形。用两种不同的参数组合生成的样本训练VAE,产生了一个代表集体动力学的整个库的嵌入,以及底层连接网络的拓扑。我们首先遵循这种方法,从该轨迹的两个端点推断从清醒到深度睡眠测量的大脑状态的轨迹;接下来,我们证明了相同的架构能够表示通过复杂网络拓扑耦合的通用Landau-Stuart振荡器的成对相关性。

英文摘要:

We consider the problem of encoding pairwise correlations between coupled dynamical systems in a low-dimensional latent space based on few distinct observations. We used variational autoencoders (VAE) to embed temporal correlations between coupled nonlinear oscillators that model brain states in the wake-sleep cycle into a two-dimensional manifold. Training a VAE with samples generated using two different parameter combinations resulted in an embedding that represented the whole repertoire of collective dynamics, as well as the topology of the underlying connectivity network. We first followed this approach to infer the trajectory of brain states measured from wakefulness to deep sleep from the two endpoints of this trajectory; next, we showed that the same architecture was capable of representing the pairwise correlations of generic Landau-Stuart oscillators coupled by complex network topology

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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