Renowned mathematician, Alessio Figalli from ETH Zurich, specializes in optimal transport, the most efficient way to allocate starting points to end points, as inspired by nature’s optimization principles. Dr. Figalli was awarded the Fields Medal in 2018 for his contributions in the field. Optimal transport was first introduced by Gaspard Monge 250 years ago and has since found applications in logistics, such as resource allocation and military engineering.
Dr. Figalli emphasizes the beauty and reliability of mathematics, appreciating its eternal nature. He highlights the importance of using mathematics not just for practical applications, but also for broader societal advancements. His recent work involves applying optimal transport in machine learning to enhance accuracy and robustness in models.
One key challenge in machine learning is the curse of dimensionality, where high-dimensional problems become computationally infeasible. Through innovative techniques, such as collapsing dimensions and solving problems in lower-dimensional spaces, Dr. Figalli aims to address these challenges and improve the reliability of A.I. systems.
The relationship between pure and applied mathematics is essential, as practical needs drive new mathematical developments. Dr. Figalli’s research focuses on bridging the gap between theoretical mathematics and real-world applications, emphasizing the role of creativity and risk-taking in pushing the boundaries of mathematical innovation.
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