4 papers
Complex Diffusion Maps with -Parameterized Kernels Revealing Inherent Harmonic Representations
Tongzhen Dang, Weiyang Ding, Michael K. Ng
In this paper, we propose Complex Diffusion Maps (CDM), a novel diffusion mapping framework that aims to reveal the dominant complex harmonics of high-dimensional data. Inspired by…
A Universal Space of Brain Dynamics for Unveiling Cognitive Transitions and Individual Differences
Ronghua Zheng, Chengyuan Qian, Weiyang Ding
Representing dynamical systems through data-driven universal spaces has proven effective; however, achieving this universality for human brain activity remains a significant challe…
Dark Signals in the Brain: Augment Brain Network Dynamics to the Complex-valued Field
Jiangnan Zhang, Chengyuan Qian, Wenlian Lu +3
Recordings of brain activity, such as functional MRI (fMRI), provide low-dimensional, indirect observations of neural dynamics evolving in high-dimensional, unobservable spaces. Em…
Optimal signal transmission and timescale diversity in a model of human brain operating near criticality
Yang Qi, Jiexiang Wang, Weiyang Ding +4
Cortical neurons exhibit a hierarchy of timescales across brain regions in response to input stimuli, which is thought to be crucial for information processing of different tempora…