“Mathematics and Generative Artificial Intelligence”

1. The Singapore Mathematical Society will carry on with the Series in the Application of Mathematics in order to encourage students to explore and discover different facets of Mathematics in our everyday life. We are delighted to announce that “Mathematics and Generative Artificial Intelligence” will be the theme of the competition this year.
2. Generative Artificial Intelligence (AI) is a powerful AI tool that can comprehend and generate new content like text, codes, and graphics. Singapore’s National AI Strategy has detailed initiatives aimed at enhancing the integration of AI in the education, healthcare and business sectors whilst formulating governance policies for the ethical and responsible use of AI. Unsupervised learning models have been used in the generative AI tools to generate new content with probabilistic and statistical semblance to the matched patterns from scanned data. 
3. We hope that through this competition, students will discover the different types of mathematical models to clarify key concepts in generative AI, like hallucinations, self-verification, and chain-of-thought reasoning. They will understand how mathematics is applied through the modelling process in constructing effective model for supporting Singapore’s National AI Strategy. Some examples of these mathematical tools are Probability, Statistics, Linear Algebra, Discrete Mathematics, Graph Theory, Regression, Multivariate Calculus, Gradient Algorithms, Optimization, Markov Chain, Transition Matrices, etc., which clearly offers diverse topics for the students to explore.

Category A
1st Prize : SMSEC24023 – The Mathematics behind a Multilayer Perceptron, NUS High School of Mathematics and Science, Yee Hong Shyan and Lee Jia-En Elias

2nd Prize : SMSEC24021 – Mathematics and Generative Artificial Intelligence, Tanjong Katong Secondary School, Atharva Saxena

3rd Prize : SMSEC24010 – The Cocktail of Generative AI and Math, Hwa Chong Institution (High School), Ji Hao, Lim Yi Heng and Fung Lang Yu Kyron

Honorable Mention: SMSEC24014 – Application of Mathematics in Generative Artificial Intelligence (AI), Hwa Chong Institution (High School), Wang Jiansheng

Category B
1st Prize : SMSEC24001 – Application of Mathematics in 3D Generative Artificial Intelligence Models, Hwa Chong Institution, Sim Shuan Luck (Shen Xuanle), Chan Yee Yong and Caelen Chang Kai Mun

2nd Prize : SMSEC24068 – Loss Functions used in Training Large Language Models: A Review, NUS High School of Mathematics and Science, Arnab Mishra and Yu Simu

3rd Prize : SMSEC24043 – Mathematical Foundations and Applications of Generative AI, Raffles Girls’ School, Leong Sau Man Wendy (Liang Xiuwen)

Category C
1st Prize : SMSEC24078 – Application of Mathematics in Diffusion Models, Hwa Chong Institution, Dylan Lee Chi-Yan, Liu Yip Kiu Ricky and Cayden Chik Yong Jun

2nd Prize : SMSEC24041 – The Math-powered Generative AI Pillar of Singapore’s National AI Strategy, Eunoia Junior College, Phoebe Raelyn Quek

3rd Prize : SMSEC24028 – Uncovering the Mathematics in Generative AI, Jurong Pioneer Junior College, Michael Napat Koh and Kaeden Wong Keng Chong

Honorable Mention: SMSEC24040 – Generative Artificial Intelligence on the Control of Information, Eunoia Junior College, Lauren Sarasa Shoji

Honorable Mention: SMSEC24052 – Diffusion Models: A Mathematical Perspective, River Valley High School, Lee Wenxi Warren

Honorable Mention: SMSEC24080 – Generative Adversarial Networks and the Future of Deepfakes, Raffles Institution, Lin Jiarui, Matteo Jude Wee Sze Yu and Zhang Juntao