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GEMS October 4th Session
October 4, 2025 @ 10:00 am - 11:55 am
This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College.
Title: Finding Your Optimal Paths
Abstract: Path planning plays an important role in many aspects of our daily life, among which are transportation, robotics, and optics. In this session, we will explore the mathematics behind path planning including the Dijkstra’s algorithm for finding the shortest paths between nodes in a graph and Fermat’s principle on the least time path taken between two points by a ray of light. Students will get hands-on experience on building a graph network on a real map and study different path planning problems. To inspire students to explore more advanced topics, some complicated path planning questions in high dimensions will be discussed at the end.
