List of Open Problems in Sublinear Algorithms
About
The goal of this wiki is to collate a set of open problems in sub-linear algorithms and to track progress that is made on these problems. Important topics within sub-linear algorithms include data stream algorithms (sub-linear space), property testing (sub-linear time), and communication complexity (sub-linear communication) but this list isn't exhaustive. Indeed many of the early problems were posted at related workshops. We invite you to add further questions and update the wiki when progress is made on existing questions.
News
Jul 14, 2025: Announcement about recent problems with spam:
- We had to roll the wiki back to an older version to delete thousands of spam edits. We believe that no important edits in recent months have been lost, but if you posted an update recently, please check if it is still there.
- If you recently created an account, it was most likely deleted in the process, so you may have to register again.
- From now on, registration is required to edit the wiki and the question to register was updated to something that should be more difficult for modern LLMs (but hopefully it won't be a problem for legit users).
Aug 28, 2019: Open problems from two workshops have been posted: the 2018 Workshop on Data Summarization at the University of Warwick and the 3rd Workshop on Local Algorithms at ETH Zurich.
Jun 13, 2019: The webpage has been updated to the 1.31 branch of MediaWiki. Please email us at admin@sublinear.info if you notice any problems.
Content
- Ordered list of open problems
- The entire list compiled into a single pdf (May be out of date. Save trees! Don't print unless you really have to.)
- Workshops where open problems were suggested
- Resources on sublinear algorithms
Random (Unsolved) Problem
Citing and Editing
Contact information
- Please send questions and comments to admin@sublinear.info.