About the Center
Center for Foundation of Mathematical Algorithms and Security is an Science Research Center (SRC) supported by the Ministry of Science and ICT (MSIT) and the National Research Foundation of Korea (NRF) since 2026. Mathematics has played a fundamental role in the advancement of science and technology throughout human history. Yet the nature and scope of its role have continually evolved in response to the changing needs and challenges of each era, giving rise to new mathematical ideas, theories, and disciplines. Today, as science and technology advance at an unprecedented pace, driven in large part by artificial intelligence and deep learning, mathematics once again faces the opportunity to redefine its role and open new frontiers of discovery. In response to this rapidly changing landscape, our research center seeks to identify and actively pursue the fundamental roles that mathematics can play in the age of artificial intelligence. Our research is built upon two core pillars: probabilistic algorithms for artificial intelligence and data encryption enabling AI learning. Through these two complementary areas, we aim to advance mathematical foundations for emerging AI technologies and contribute to the continued evolution of mathematics in science and technology.
Mission
- Establishing a world-class probability theory research cluster
- Pioneering the foundational theory of stochastic algorithms
- Developing innovative algorithms based on advanced probability theory
- Implementing machine learning technologies based on homomorphic encrypted data
Research Areas
[Group 1] Probability Theory Research
We conduct research on the following topics, encompassing both fundamental subjects emphasized in modern probability theory and the development of probabilistic theoretical foundations required by other research groups. ■ Analysis of general stochastic processes(e.g., Lévy processes) and potential theory ■ Analysis of large-scale complex stochastic systems ■ Development of general techniques for metastability analysis
[Group 2] Stochastic Algorithms Research
We investigate stochastic algorithms focusing on the following three themes. ■ Analysis of working principles for stochastic algorithms in deep learning and reinforcement learning ■ Development of integrated models and analysis of underlying principles for stochastic algorithms in deep learning and reinforcement learning ■ Development and analysis of deep learning algorithms using stochastic partial differential equations in Banach spaces
[Group 3] Homomorphic Encryption Research
We aims to develop and apply homomorphic encryption cryptosystems capable of machine learning and data analysis. ■ Development of homomorphic-encryption-friendly stochastic algorithms ■ Development of security-friendly artificial intelligence and blockchain technologies
History
- 2026.08.25 — Center founded