AI for Mathematics - From Digitization to Intelligentization

Overview

Explore the evolving relationship between AI and mathematics, from historical interactions to cutting-edge research at Peking University, focusing on dataset formalization and future intelligent applications.

Syllabus

• Introduction to AI and Mathematics
Overview of AI in historical and modern contexts
The role of mathematics in AI development
Introduction to key concepts and terminology
• Historical Interactions Between AI and Mathematics
Early developments and pioneers
Coursework and research trends over decades
Notable case studies
• Dataset Formalization in Mathematics
Introduction to dataset creation and annotation
Challenges in mathematical data representation
Tools and techniques for digitization and data preprocessing
• AI Applications in Mathematical Problem Solving
Overview of algorithms in mathematical computations
AI models for theorem proving and conjecture generation
Case studies of AI systems in mathematical research
• Cutting-edge Research at Peking University
Current projects and innovations in AI and mathematics
Key research papers and their contributions
Collaborations and interdisciplinary approaches
• Future Intelligent Applications
Emerging trends in AI-enabled mathematical tools
Predictive modeling in mathematics using AI
Opportunities and challenges in future developments
• Practical Applications and Case Studies
Real-world applications of AI in mathematics
Success stories and lessons learned
Hands-on exercises with AI tools and platforms
• Ethical Considerations and Impact
Ethical implications of AI in mathematical research
Societal impact and responsibility
Discussion on AI governance and policy-making
• Conclusion and Future Directions
Recap of key topics and learnings
Opportunities for further exploration and research
Final thoughts on the evolving relationship between AI and mathematics

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Subjects

Data Science