We discuss the following general question: How does the information complexity of a function change if we allow non-negligible error?
Our answers have implications to the communication complexity of set disjointness with non-negligible error.
BibTeX
@inproceedings{DFHL2017,
author = {Yuval Dagan and Yuval Filmus and Hamed Hatami and Yaqiao Li},
title = {Trading information complexity for error},
booktitle = {32nd Conference on Computational Complexity (CCC 2017)},
year = {2017}
}
@article{DFHL2018,
author = {Yuval Dagan and Yuval Filmus and Hamed Hatami and Yaqiao Li},
title = {Trading information complexity for error},
journal = {Theory of Computing},
volume = {14},
pages = {6:1--73},
year = {2018}
}