License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2022.97
URN: urn:nbn:de:0030-drops-164381
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16438/
Musipatla, Amulya ;
O'Donnell, Ryan ;
Schramm, Tselil ;
Wu, Xinyu
The SDP Value of Random 2CSPs
Abstract
We consider a very wide class of models for sparse random Boolean 2CSPs; equivalently, degree-2 optimization problems over {±1}ⁿ. For each model ℳ, we identify the "high-probability value" s^*_ℳ of the natural SDP relaxation (equivalently, the quantum value). That is, for all ε > 0 we show that the SDP optimum of a random n-variable instance is (when normalized by n) in the range (s^*_ℳ-ε, s^*_ℳ+ε) with high probability. Our class of models includes non-regular CSPs, and ones where the SDP relaxation value is strictly smaller than the spectral relaxation value.
BibTeX - Entry
@InProceedings{musipatla_et_al:LIPIcs.ICALP.2022.97,
author = {Musipatla, Amulya and O'Donnell, Ryan and Schramm, Tselil and Wu, Xinyu},
title = {{The SDP Value of Random 2CSPs}},
booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)},
pages = {97:1--97:19},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-235-8},
ISSN = {1868-8969},
year = {2022},
volume = {229},
editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2022/16438},
URN = {urn:nbn:de:0030-drops-164381},
doi = {10.4230/LIPIcs.ICALP.2022.97},
annote = {Keywords: Random constraint satisfaction problems}
}
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Keywords: |
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Random constraint satisfaction problems |
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Collection: |
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49th International Colloquium on Automata, Languages, and Programming (ICALP 2022) |
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Issue Date: |
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2022 |
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Date of publication: |
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28.06.2022 |
