BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251002T053434EDT-8301WvvTUS@132.216.98.100 DTSTAMP:20251002T093434Z DESCRIPTION:\n Convergence Guarantees for Adversarially Robust Classifiers\n \n  \n\n\nAbstract:\n\nNeural networks can be trained to classify images an d achieve high levels of accuracy. However\, researchers have discovered t hat well-targeted perturbations of an image can completely fool a trained classifier\, even in cases where the modified image is visually indistingu ishable from the original. This has sparked many new approaches to classif ication which include an adversary in the training process: such an advers ary can improve robustness and generalization properties at the cost of de creased accuracy and increased training time. In this presentation\, I wil l explore the connection between a certain class of adversarial training p roblems and the Bayes classification problem for binary classification. In particular\, robustness can be encouraged by adding a regularizing nonloc al perimeter term\, providing a strong connection to classical studies of perimeter. Borrowing tools from geometric measure theory\, I will show the Hausdorff convergence of adversarially robust classifiers to Bayes classi fiers as the strength of adversary decreases to 0. In this way\, the theor etical results discussed in the presentation provide a rigorous comparison with the standard Bayes classification problem.\n\nSpeaker\n\nRachel Morr is received her PhD from NC State this summer under the supervision of Rya n Murray. Her PhD work studied data-driven optimization problems through t he lens of calculus of variations and geometric measure theory. Currently\ , Rachel is a postdoc at Concordia University\, working with Jason Brambur ger and Simone Brugiapaglia\n DTSTART:20251003T193000Z DTEND:20251003T200000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Rachel Morris (Concordia University) URL:/science/channels/event/rachel-morris-concordia-un iversity-368046 END:VEVENT END:VCALENDAR