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  4. Finite Littlestone Dimension Implies Finite Information Complexity
 
conference paper

Finite Littlestone Dimension Implies Finite Information Complexity

Pradeep, Aditya  
•
Nachum, Ido  
•
Gastpar, Michael C.  
2022
2022 IEEE International Symposium on Information Theory (ISIT)
2022 IEEE International Symposium on Information Theory (ISIT)

We prove that every online learnable class of functions of Littlestone dimension d admits a learning algorithm with finite information complexity. Towards this end, we use the notion of a globally stable algorithm. Generally, the information complexity of such a globally stable algorithm is large yet finite, roughly exponential in d. We also show there is room for improvement; for a canonical online learnable class, indicator functions of affine subspaces of dimension d, the information complexity can be upper bounded logarithmically in d.

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Type
conference paper
DOI
10.1109/ISIT50566.2022.9834457
Author(s)
Pradeep, Aditya  
Nachum, Ido  
Gastpar, Michael C.  
Date Issued

2022

Published in
2022 IEEE International Symposium on Information Theory (ISIT)
Start page

3055

End page

3060

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LINX  
Event nameEvent placeEvent date
2022 IEEE International Symposium on Information Theory (ISIT)

Espoo, Finland

June 26-July 1, 2022

Available on Infoscience
December 9, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/193100
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