I have two main research topics:
a) Computational algebra;
b) Applications of neural networks.
For first topic, I mainly deal with HodgeRank method and its generalization. The construction of computational algebra system is my side project which is constructed for the modeling of optimization problems.
Nowadays, neural network, especially Deep Neural Networks becomes a popular tools for developing Artificial Intelligence or Computer Aided Design. I an now focus on how to use neural network on medical image analysis. The tool I used in this field is Python and Keras.
Thesis: Stochastic portfolio optimization models for the stable growth benchmark tracking
I focused on the combination between portfolio optimization problem and scenario trees. Moment matching method was introduced to provide a user-defined scenario tree which fits the first few moments of past data.
Major in Judo (2nd Dan), double major in Karate (brown belt), minor in Slavic languages and mathematics. Besides, I was one of the co-founders of speciality coffee club in NCCU.
HodgeRank is a pairwise comparison method for recommendation system.
The theory of HodgeRank is based on the theory of cohomology group and Hodge/Helmholtz Decomposition.
The figure is referred from .
I am recently focus on how to use neural network in medical image analysis. I am working with master students in NTU with Prof. Weichung Wang. We are now trying to duplicate some existence models and then improve it in any sense.
This figure is the MRI image of my left shoulder.