{"id":49037,"date":"2024-08-26T10:26:03","date_gmt":"2024-08-26T14:26:03","guid":{"rendered":"https:\/\/engineering.jhu.edu\/ams\/?post_type=tribe_events&p=49037"},"modified":"2024-10-22T16:35:24","modified_gmt":"2024-10-22T20:35:24","slug":"ams-weekly-seminar-professor-qin-li","status":"publish","type":"tribe_events","link":"https:\/\/engineering.jhu.edu\/ams\/event\/ams-weekly-seminar-professor-qin-li\/","title":{"rendered":"AMS Weekly Seminar | Qin Li"},"content":{"rendered":"

Location:\u00a0<\/strong>Gilman 50<\/p>\n

When:<\/strong>\u00a0October 31st at 1:30 p.m.<\/p>\n

Title:\u00a0<\/strong>Accelerating\u00a0Optimization\u00a0Over Probability Measure Space<\/span><\/p>\n

Abstract:\u00a0<\/strong>In the past decade, there has been a significant shift in the types of mathematical objects under investigation, moving from vectors and matrices in Euclidean spaces, to functions residing in Hilbert or Banach spaces, and ultimately extending to probability measures within the probability measure space. Many questions that were originally posed in the context of linear function spaces are now being revisited in the realm of probability measures. One such question is to efficiently find a probability measure that minimizes a given objective functional.<\/span><\/p>\n

In Euclidean space, we devised\u00a0optimization\u00a0techniques like gradient descent and introduced momentum-based methods to\u00a0accelerate\u00a0the convergence. Now, the question arises: Can we employ analogous strategies to expedite convergence within the probability measure space?<\/span><\/p>\n

We provide an affirmative answer to this question, and show that momentum based\u00a0acceleration\u00a0for Euclidean\u00a0optimization\u00a0now translates to Hamiltonian flow, and it can achieve arbitrary high-order of convergence. This opens the door of developing methods beyond standard gradient flow.<\/span><\/p>\n

Zoom link:<\/strong> https:\/\/wse.zoom.us\/j\/96299385386?pwd=HvOzDnw7A2SOQkMrbBbr5AXjqurdj0.1<\/p>\n","protected":false},"excerpt":{"rendered":"

Location:\u00a0Gilman 50 When:\u00a0October 31st at 1:30 p.m. Title:\u00a0Accelerating\u00a0Optimization\u00a0Over Probability Measure Space Abstract:\u00a0In the past decade, there has been a significant shift in the types of mathematical objects under investigation, 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