[Colloquium] REMINDER: Research at TTIC: Ryota Tomioka, TTIC
Dawn Ellis
dellis at ttic.edu
Thu Jan 8 08:38:38 CST 2015
When: Friday, January 9th at Noon
Where: TTIC, 6045 S Kenwood Avenue, 5th Floor, Room 526
Who: Ryota Tomioka, TTIC
Title: Multitask learning meets tensor factorization: task imputation
via convex optimization
Abstract:
We study a multitask learning problem in which each task is parametrized by
a weight vector and indexed by a pair of indices, which can be e.g,
(consumer, time). The weight vectors can be collected into a tensor and the
(multilinear-)rank of the tensor controls the amount of sharing of
information among tasks. Two types of convex relaxations have recently been
proposed for the tensor multilinear rank. However, we argue that both of
them are not optimal in the context of multitask learning in which the
dimensions or multilinear rank are typically heterogeneous. We propose a
new norm, which we call the scaled latent trace norm and analyze the excess
risk of all the three norms. The results apply to various settings
including matrix and tensor completion, multitask learning, and multilinear
multitask learning. Both the theory and experiments support the advantage
of the new norm when the tensor is not equal-sized and we do not a priori
know which mode is low rank.
***************************************
Research at TTIC Seminar Series
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--
*Dawn Ellis*
Administrative Coordinator,
Bookkeeper
773-834-1757
dellis at ttic.edu
TTIC
6045 S. Kenwood Ave.
Chicago, IL. 60637
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