Chris Umans
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on a stage with
- Henry Cohnonce
- Jonah Blasiakonce
- Joshua A. Grochowonce
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| title | conference | date |
|---|---|---|
| Matrix multiplication via matrix groups | ITCS 2023 | 2023-01-10 |
Paper proves in the Cohn–Umans group-theoretic framework that groups of Lie type cannot yield omega = 2, by combining Gowers’s quasirandomness bounds (PSL(2… | ||
| Approaches to Bounding the Exponent of Matrix Multiplication | Connections Between Algorithm Design and Complexity Theory | 2015-09-28 |
Survey of specific progress and a new direction: Strassen’s 2x2 decomposition gives seven multiplications (ω ≤ 2.81), repeated tensor powers and the… | ||
| Approaches to Bounding the Exponent of Matrix Multiplication | Tensors in Computer Science and Geometry 2014 | 2014-11-10 |
Surveys known strategies that upper‑bound omega: handcrafted small tensor ranks and border ranks (Strassen 2.81, Coppersmith–Winograd to 2.38), packing many… | ||
| Approaches to Bounding the Exponent of Matrix Multiplication | Geometric Complexity Theory 2014 | 2014-09-15 |
Survey describes embedding n×n multiplication into group algebras and into commutative association schemes, using the triple product property to reduce to… | ||
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