In the era of big data, supervised and unsupervised machine learning techniques were developed. These technologies

   play a pivotal role in leading the artificial intelligence industry. In AI research, the prediction of new data is important 

   issue, and also identification (or definition) of subgroups is critical for the better results. In fact, the precise subgrouping 

   is important toward precision medicine. Topological data analysis (TDA) is the recently developed approach to identify

   hidden subgroups based on the topology-based partial clustering technique. Mathematical background underlying TDA

   and its application to the various research domains will be introduced during this seminar.