题 目:The study of dynamic neural field modeling based on fractal sets
主讲人:季家兵博士
时 间:2022年6月2日(周四)13:30-14:30
地 点:6号学院楼500会议室
主办单位:银河7163官网 浙江省2011“数据科学与大数据分析协同创新中心”
摘要:
Amari dynamic neural field model is the most important theory in neural dynamics. The existing research results are mostly based on perception space. Because the cerebral cortex is a fractal, the previous model is too idealistic. Then, we establish dynamic neural field model based on fractal is inevitable choice. But fractal sets has complicated structure. How to establish a unified calculus formula on fractal sets, has been unable to be solved so far.Therefore, in view of mathematical theories and methods of the calculus on fractal sets has important theoretical significance and practical value. The purpose of this project is to use the classic calculus theory and fractal theory, by constructing a continuous stair function, give the relation between calculus on fractal set and classic calculus, and then give the new theory and method for studying dynamic neural field.
主讲人简介:
季家兵,数据科学与大数据技术系教师,大数据与应用统计硕士生导师。担任FractalComplex Geometry, Patterns, and Scaling in Nature and Society审稿人。主持(完成)国家自然科学基金项目1项。参与完成国家自然科学基金3项。在International Journal of computer mathematics、International Journal of Nonlinear Science、Neural Networks、International Journal of Chaos and Bifurcation等国际SCI检索期刊上发表学术论文若干篇。
欢迎各位老师和同学踊跃参加!