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SKB room 2200 (at the top of the north stairs, take a sharp left; room is in the northeast corner of the building).\r\n\r\nRSVP: https:\/\/myumi.ch\/W6REd\r\n\r\nAbstract:\r\n\r\nThis talk will review recent data illustrating how neuroplastic change takes place in the human brain. It will discuss how interventions can be applied to stimulate motor learning. 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In this work, we demonstrate that we can reap the benefits of overparameterization without the computational burden. First, we develop theory showing that when training the parameters of a deep linear network to fit a low-rank or wide matrix, the gradient dynamics of each weight matrix are confined to an invariant low-dimensional subspace. This is done by carefully studying the gradient update step, which is the product of several matrix variables, and noticing the way low-rank structure passes from the low-rank target through the variables sequentially. Given this invariant subspace, we can construct and train compact, highly compressed factorizations possessing the same benefits as their overparameterized counterparts. For language model fine-tuning, we introduce a method called \"Deep LoRA\", which improves the existing low-rank adaptation (LoRA) technique. While this technique does not arise directly from our theory, it involves only a minor modification that is surprisingly effective and of great interest for future theoretical study.\r\n\r\nContact: Peter Miller", "occurrence_notes":null, "guid":"130193-21865580@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/130193", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"1084", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Applied Interdisciplinary Mathematics (AIM) Seminar - Department of Mathematics", "group_id":"4882", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21865580 } , "133235-21872627": { "datetime_modified":"20250303T063245", "datetime_start":"20250404T150000", "datetime_end":"20250404T160000", "has_end_time":1, "date_start":"2025-04-04", "date_end":"2025-04-04", "time_start":"15:00:00", "time_end":"16:00:00", "time_zone":"America\/Detroit", "event_title":"Discover McKinsey's Hispanic and Latino Network", "occurrence_title":"", "combined_title":"Discover McKinsey's Hispanic and Latino Network", "event_subtitle":"", "event_type":"Careers \/ Jobs", "event_type_id":"2", "description":"Meet McKinsey's Hispanic and Latino Network! 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