I have been enjoying study and life at NTU during the past four years, including one year for my master's degree. I learned the most cutting-edge knowledge about developing algorithms, and met the most far-sighted friends. For a young researcher, nothing is dearer than studying and working at NTU. First of all, I would like to express my sincere gratitude to my first supervisor Dr. Okan Duru for the continuous support of my Ph.D. study and related research. After Dr. Okan Duru left Singapore, Dr.Yuen Kum Fai supervised me with his patience, motivation, and immense knowledge for the following years. Thanks for his encouragement and financial support after I submitted the thesis. At the same time, I would like to express my respect and gratitude to Dr. P.N. Suganthan, who co-supervised me unofficially but helpfully. He shared constructive ideas with me every two weeks.The colleagues, Jiahui Liu, and Liang Du, in the group, are amicable and helpful. I thank my fellow colleagues for the stimulating discussions during a group meeting, for the collaboration to produce novel ideas and papers, and for all the fun we have had in the last three years.Moreover, I acknowledge the people who mean a lot to me, my parents. Thanks to their strong support and infinite love, I have the opportunity to pursue higher degrees overseas. I wish to express my most incredible gratitude to my them.