Research

My research interest is mainly focused on employing mathematical techniques and models to answer neuroscience questions. So far, I have solved the structures of dynamical system for Synchronized-fire Chain in my undergraduate years, advised by Prof. Louis Tao.

In my PhD years, I am working with Prof. Kevin Lin and we have already developed a Multi-level Monte Carlo algorithm for Integrate-Fire equations.

I am currently working on 2 projects:

  1. Reduced models for neural networks;
  2. Principles of neural computation for memory, based on data from hippocampus, co-advised by Prof. Jean-Marc Fellous.

Beside my research, I'm also interested in using language from dynamics and statistics to describe emergent phenomena in social sciences, such as economy, sociology, and history.

Publication

Xiao, Z.; Lin, K.K.; Fellous, JM. The Sequential Similarity of Firing Patterns between Task and Sleep. In Preparation

Xiao, Z.; Lin, K.K.; Fellous, JM. Conjunctive Reward-Place Coding Properties of Dorsal Distal CA1 Hippocampus Cells. Submitted. Available upon request.

Dong, Y.; Wang, J.; Xiao, Z.; Hu, H. Relief as a natural resilience mechanism against depression, Submitted.

Xiao, Z.; Lin, K.K. A Multi-Level Monte Carlo Algorithm for Integrate-Fire Neuron Network. In Preparation.

Xiao, Z.; Wang, B.; Sornborger, A.; Tao, L. Mutual Information and Information Gating in Synfire Chains. Entropy 2018, 20(2), 102.

Xiao, Z.; Zhang, J.; Sornborger, A.; Tao, L. Cusps enable line attractors for neural computation. Phys. Rev. E 2017, 96, 052308.

Wang, C.; Xiao, Z.; Wang, Z.; Sornborger, A.; Tao, L. A Fokker-Planck approach to graded information propagation in pulse-gated feed-forward neuronal networks. arXiv:1512.00520.