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Query-to-Communication Lifting Göös, Mika
Description
This will be a tutorial-style talk, with a particular focus on the following result. For any n-bit boolean function $f$, we show that the randomized communication complexity of the composed function $f o g^n$, where $g$ is a small index gadget, is characterized by the randomized decision tree complexity of $f$. In particular, this means that many query complexity separations involving randomized models (e.g., classical vs. quantum) automatically imply analogous separations in communication complexity. Joint work with Toniann Pitassi and Thomas Watson.
Item Metadata
Title |
Query-to-Communication Lifting
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-03-21T09:04
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Description |
This will be a tutorial-style talk, with a particular focus on the following result.
For any n-bit boolean function $f$, we show that the randomized communication complexity of the composed function $f o g^n$, where $g$ is a small index gadget, is characterized by the randomized decision tree complexity of $f$. In particular, this means that many query complexity separations involving randomized models (e.g., classical vs. quantum) automatically imply analogous separations in communication complexity.
Joint work with Toniann Pitassi and Thomas Watson.
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Extent |
62.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Harvard University
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Series | |
Date Available |
2019-03-12
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376808
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International