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DTSTART:20070311T020000
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DTSTAMP:20220805T181535
DTSTART;TZID=America/Detroit:20220805T120000
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SUMMARY:Workshop / Seminar:Dissertation Defense Seminar
DESCRIPTION:Tensor decompositions have been studied for nearly a century\, but the well-known notion of tensor rank does not capture all the properties that one may desire of a rank function on tensors. For that reason\, in recent years many alternative notions of tensor rank have been developed and studied. Some have also studied related notions of norms on tensors\, especially the nuclear norm\, which can be viewed as a convex relaxation of tensor rank.\n\nIn this thesis\, we calculate the value of the recently introduced $G$-stable rank for all weights on $2 \times 2 \times 2$ and $2 \times 2 \times 3$ complex-valued tensors\, and introduce X-rank\, which can be viewed as a refinement of $G$-stable rank.\n\nWe then investigate the nuclear norm\, and how it and some other norms on tensor product spaces behave with respect to the vertical\, or Kronecker\, tensor product.\n Speaker(s): Robert Cochrane (UM)
UID:96330-21792276@events.umich.edu
URL:https://events.umich.edu/event/96330
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location - Zoom: https://umich.zoom.us/j/93358265123?pwd=eWF0NFpnblF1VGpNYUZ2U1FqUThHZz09 Password: tensors
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