dc.contributor.author | Koo, Jaehyun | |
dc.date.accessioned | 2024-07-23T19:50:32Z | |
dc.date.available | 2024-07-23T19:50:32Z | |
dc.date.issued | 2024-06-17 | |
dc.identifier.isbn | 979-8-4007-0416-1 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/155771 | |
dc.description | SPAA ’24, June 17–21, 2024, Nantes, France | en_US |
dc.description.abstract | We present an O(1)-round fully-scalable deterministic massively parallel algorithm for computing the min-plus matrix multiplication of unit-Monge matrices. We use this to derive a O(łog n)-round fully-scalable massively parallel algorithm for solving the exact longest increasing subsequence (LIS) problem. For a fully-scalable MPC regime, this result substantially improves the previously known algorithm of O(łog^4 n)-round complexity, and matches the best algorithm for computing the (1+ε)-approximation of LIS. | en_US |
dc.publisher | ACM|SPAA '24: Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures | en_US |
dc.relation.isversionof | 10.1145/3626183.3659974 | en_US |
dc.rights | Creative Commons Attribution | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.source | Association for Computing Machinery | en_US |
dc.title | An Optimal MPC Algorithm for Subunit-Monge Matrix Multiplication, with Applications to LIS | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Koo, Jaehyun. 2024. "An Optimal MPC Algorithm for Subunit-Monge Matrix Multiplication, with Applications to LIS." | |
dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | |
dc.contributor.department | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory | |
dc.identifier.mitlicense | PUBLISHER_CC | |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dc.date.updated | 2024-07-01T07:53:46Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | The author(s) | |
dspace.date.submission | 2024-07-01T07:53:46Z | |
mit.license | PUBLISHER_CC | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |