Conference item
On the limitations of representing functions on sets
- Abstract:
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Recent work on the representation of functions on sets has considered the use of summation in a latent space to enforce permutation invariance. In particular, it has been conjectured that the dimension of this latent space may remain fixed as the cardinality of the sets under consideration increases. However, we demonstrate that the analysis leading to this conjecture requires mappings which are highly discontinuous and argue that this is only of limited practical use. Motivated by this obser...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Journal of Machine Learning Research
- Host title:
- Proceedings of Machine Learning Research
- Journal:
- Proceedings of Machine Learning Research More from this journal
- Volume:
- 97
- Pages:
- 6487-6494
- Publication date:
- 2019-06-13
- Acceptance date:
- 2019-04-24
- ISSN:
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2640-3498
Item Description
- Keywords:
- Pubs id:
-
pubs:1081433
- UUID:
-
uuid:3d5730ad-0070-46e9-b173-5b139d122dba
- Local pid:
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pubs:1081433
- Source identifiers:
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1081433
- Deposit date:
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2020-01-09
Terms of use
- Copyright holder:
- Wagstaff, E et al
- Copyright date:
- 2019
- Notes:
- © The Author(s) 2019. This paper was presented at the 36th International Conference on Machine Learning (ICML 2019), 9-15 June 2019, Long Beach, California, USA. The final published version and supplementary materials are available online from Proceedings of Machine Learning Research at: http://proceedings.mlr.press/v97/wagstaff19a.html
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