Description of the research: This project aims to explore the intersection of optimal transport theory and information geometry, focusing on their practical applications in artificial intelligence (AI) and big data analytics. Optimal transport offers a robust mathematical framework for modeling probability measures, providing insights into areas such as entropy-regularized transport, divergence functions, and Wasserstein metrics. These concepts have wide-ranging applications, including enhancing data processing algorithms, improving machine learning model accuracy, and optimizing large-scale data analytics tasks. The research will delve into topics such as the Monge-Kantorovich formulation, entropy-regularization techniques, and the interaction between Wasserstein geometry and information geometry. By applying these theoretical principles to AI models, the project aims to develop advanced computational methods that can handle complex, high-dimensional datasets more effectively. Potential outcomes include new algorithms for more efficient data transport and novel AI techniques that leverage the intrinsic geometric properties of data. This internship is suitable for interns with a strong background in mathematics, probability theory, and an interest in the theoretical aspects of AI and data science. Participants will gain hands-on experience in applying cutting-edge mathematical concepts to address real-world problems in AI and big data. Mentor in CCU: Asst. Prof. Tsung-Wei Chiang Department of Computer Science and Information Engineering, National Chung Cheng University, Taiwan. (e-mail: twchiang@ccu.edu.tw) (website: https://sites.google.com/view/twchiang) Expected student level : ■ Post-graduate student ■ Third/forth-year undergraduate senior student Intern period: At least 8 weeks between Jun. 1 and Dec. 31 , 2025 Remark: Each applicant may undergo an online interview as part of the selection process. Based on the duration of each intern’s or trainee’s stay, a first-come, first-served principle will be applied. Once the laboratory’s seating capacity is full, no further interns will be accepted. National Chung Cheng University (CCU) and the laboratory principal investigator reserve the right for final approval of internship eligibility. Interns may be required to sign an internship agreement before the commencement of their internship to comply with relevant regulations. During the internship period, interns must adhere to the regulations and instructions of the hosting laboratory or CCU. Failure to comply with these regulations and instructions will result in the immediate termination of their internship eligibility, with arrangements made for their immediate return.