论文标题
认知图的拓扑
Topology of cognitive maps
论文作者
论文摘要
在本文中,我们讨论了从小鼠海马中CA1场的神经活动数据中重建物理空间拓扑的几种方法,尤其是对脑功能的认知理论。在我们的实验中,将动物放置在不同的新环境中,并在记录其身体和神经活动时自由移动。我们测试了从观察到的CA1神经元中识别出细胞组的可能方法。我们还测试并讨论了缩小和拓扑重建的各种方法。特别是,我们关注的两种主要策略是神经定理和基于点云的方法。关于重建结果的结论得到了插图和数学背景的支持。
In present paper we discuss several approaches to reconstructing the topology of the physical space from neural activity data of CA1 fields in mice hippocampus, in particular, having Cognitome theory of brain function in mind. In our experiments, animals were placed in different new environments and discovered these moving freely while their physical and neural activity was recorded. We test possible approaches to identifying place cell groups out of the observed CA1 neurons. We also test and discuss various methods of dimension reduction and topology reconstruction. In particular, two main strategies we focus on are the Nerve theorem and point cloud-based methods. Conclusions on the results of reconstruction are supported with illustrations and mathematical background which is also briefly discussed.