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Seq2Tens: an efficient representation of sequences by low-rank tensor projections

Abstract:
Sequential data such as time series, video, or text can be challenging to analyse as the ordered structure gives rise to complex dependencies. At the heart of this is non-commutativity, in the sense that reordering the elements of a sequence can completely change its meaning. We use a classical mathematical object — the free algebra — to capture this non-commutativity. To address the innate computational complexity of this algebra, we use compositions of low-rank tensor projections. This yields modular and scalable building blocks that give state-of-the-art performance on standard benchmarks such as multivariate time series classification, mortality prediction and generative models for video.
Publication status:
Published
Peer review status:
Peer reviewed

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Publication website:
https://openreview.net/forum?id=dx4b7lm8jMM

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hugh's College
Role:
Author
ORCID:
0000-0003-2644-8906


Publisher:
OpenReview
Article number:
3363
Publication date:
2020-09-28
Acceptance date:
2021-01-12
Event title:
Ninth International Conference on Learning Representations (ICLR 2021)
Event location:
Virtual event
Event website:
https://iclr.cc/Conferences/2021
Event start date:
2021-05-03
Event end date:
2021-05-07


Language:
English
Keywords:
Subtype:
Poster
Pubs id:
1112814
Local pid:
pubs:1112814
Deposit date:
2022-11-03

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