Mathematician Justin Solomon is using modern geometric techniques to solve complex problems, often unrelated to shapes. He explains that geometric tools can be used to compare datasets, providing insight into the performance of machine-learning models. He asserted the significance of distance, similarity, curvature, and shape, all derived from geometry, in discussing data.
His Geometric Data Processing Group conducts high-dimensional statistical research using geometric tools, developing three-dimensional geometric data processing for applications like aligning 3D organ scans and enabling autonomous vehicles to identify pedestrians using LiDAR technology. He also mentioned the relevance of these techniques in generative AI and probability tasks.
Solomon’s early fascination with computer graphics guided him to double major in math and computer science at Stanford University and working at Pixar Animation Studios. His work at Pixar primarily focused on physical simulation of objects and improving the look of animated content. His PhD’s focus was the optimal transport problem, aiming to move items from one distribution to another as efficiently as possible. This background led him to MIT where he can engage with talented students and peers to solve complex, practical problems that can affect numerous disciplines.
Solomon is committed to making geometric research more accessible, particularly to underserved students. He initiated the Summer Geometry Initiative, a six-week paid research program mainly for students from underrepresented backgrounds. His objective was to increase diversity in the field, thereby expanding the range of perspectives and ideas.
Moving forward, Solomon plans to apply geometry tools to enhance unsupervised machine learning models, which can recognize patterns without labeled training data. He believes geometric insight can help computers understand complicated, unlabelled 3D scenes, thereby making learning more effective.
Beyond his academic pursuits, Solomon is passionate about classical music and expresses this enthusiasm through his cello performances with the New Philharmonia Orchestra in Massachusetts. He sees music as analytical and sees a connection between his field of computer graphics and artistic practice.
