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Streaming and Sketching Complexity of CSPs: A Survey (Invited Talk)

Author Madhu Sudan

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Madhu Sudan
  • School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA

Funding

  • Sudan, Madhu: Supported in part by a Simons Investigator Award and NSF Awards CCF 1715187 and CCF 2152413.

Acknowledgements

I want to thank Santhoshini Velusamy for introducing me to this wonderful line of research. I want to thank her and all other co-authors - Chi-Ning Chou, Sasha Golovnev, Noah Singer, Raghuvansh Saxena, Amirbehshad Shahrasbi and Ameya Velingker - for the collaborations and discussions which informed this survey. They also caught numerous errors and gave suggestions that have hopefully made this survey more readable. I want to thank the organizers of ICALP 2022 for inviting me to write this survey, and to David Woodruff in particular for the additional encouragement and nudges that were crucial to get me going.

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Madhu Sudan. Streaming and Sketching Complexity of CSPs: A Survey (Invited Talk). In 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 229, pp. 5:1-5:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ICALP.2022.5

Abstract

In this survey we describe progress over the last decade or so in understanding the complexity of solving constraint satisfaction problems (CSPs) approximately in the streaming and sketching models of computation. After surveying some of the results we give some sketches of the proofs and in particular try to explain why there is a tight dichotomy result for sketching algorithms working in subpolynomial space regime.

Subject Classification

ACM Subject Classification
  • Theory of computation → Sketching and sampling
Keywords
  • Streaming algorithms
  • Sketching algorithms
  • Dichotomy
  • Communication Complexity

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References

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