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DESCRIPTION:Despite the success of data driven approaches in transfer learn
 ing\, the theoretical understanding of transfer learning from statistics o
 r information theory is somewhat behind. A key challenge when conducting t
 heoretical analyses for transfer learning problems is that the statistical
  correlation between source and target tasks are often unknown\, and hence
  traditional mathematical tools in statistics and estimation theory are di
 fficult to be applied. In this talk\, we address this issue by formulating
  the transfer learning as an optimization problem for the testing loss ove
 r certain similarity constraints of the source and target tasks. Specifica
 lly\, we first show that when the similarity between both tasks measured b
 y a certain distance metric is given\, the optimal linear transfer model c
 an be computed. The optimal coefficient in such a model reveals how the sa
 mple complexity\, model complexity\, and the task similarity affect the kn
 owledge transferring in transfer learning. Moreover\, when the task simila
 rity cannot be well estimated due to insufficient samples\, we propose a m
 inimax formulation\, which only requires the similarity being bounded\, an
 d the resulting distribution estimator is robust against sample insufficie
 ncy. We show an approximately optimal distribution estimator for the minim
 ax problem from the bounded normal mean problem\, and develop similar know
 ledge transferring insights as in the linear transferring model. Finally\,
  some experimental results validate the algorithms led by our theoretical 
 approach.\n\nSpeaker(s): Shao-Lun Huang\, \n\nRoom: 4127\, Bldg: Earth Sci
 ence Building\, 2207 Main Mall\, Vancouver\, British Columbia\, Canada\, V
 6T1Z4
LOCATION:Room: 4127\, Bldg: Earth Science Building\, 2207 Main Mall\, Vanco
 uver\, British Columbia\, Canada\, V6T1Z4
ORGANIZER:lelewang@ece.ubc.ca
SEQUENCE:3
SUMMARY:Some Guidance of Transfer Learning Algorithm Designs From Statistic
 al Inference Perspectives - IEEE DLT\, 8 Mar 2024 11:00 AM
URL;VALUE=URI:https://events.vtools.ieee.org/m/409942
X-ALT-DESC:Description: &lt;br /&gt;&lt;p&gt;Despite the success of data driven approac
 hes in transfer learning\, the theoretical understanding of transfer learn
 ing from statistics or information theory is somewhat behind. A key challe
 nge when conducting theoretical analyses for transfer learning problems is
  that the statistical correlation between source and target tasks are ofte
 n unknown\, and hence traditional mathematical tools in statistics and est
 imation theory are difficult to be applied. In this talk\, we address this
  issue by formulating the transfer learning as an optimization problem for
  the testing loss over certain similarity constraints of the source and ta
 rget tasks. Specifically\, we first show that when the similarity between 
 both tasks measured by a certain distance metric is given\, the optimal li
 near transfer model can be computed. The optimal coefficient in such a mod
 el reveals how the sample complexity\, model complexity\, and the task sim
 ilarity affect the knowledge transferring in transfer learning. Moreover\,
  when the task similarity cannot be well estimated due to insufficient sam
 ples\, we propose a minimax formulation\, which only requires the similari
 ty being bounded\, and the resulting distribution estimator is robust agai
 nst sample insufficiency. We show an approximately optimal distribution es
 timator for the minimax problem from the bounded normal mean problem\, and
  develop similar knowledge transferring insights as in the linear transfer
 ring model. Finally\, some experimental results validate the algorithms le
 d by our theoretical approach.&lt;/p&gt;
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