Duality of Fluid Mechanics and Solution of Decaying Turbulence - Alexander Migdal @videosfromIAS

Updated September 2026, 2 weeks ago

Duality of Fluid Mechanics and Solution of Decaying Turbulence - Alexander Migdal

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$Algorithms for Overcomplete Tensor Decomposition - Pravesh Kothari Computer Science/Discrete Mathematics Seminar II 10:30am|Simonyi 101 and Remote Access Topic: Algorithms for Overcomplete Tensor Decomposition Speaker: Pravesh Kothari Affiliation: Princeton University Date: April 28, 2026 Tensor decomposition is the task of writing an n x n x n input tensor T as sum_{i = 1}^r a_i otimes b_i otimes c_i for the smallest possible r (called the rank of T). This problem is NP-hard in general. Jennrichs algorithm succeeds if a_is, b_is, and c_is are generic and r less than or equal to n. The overcomplete regime with r greater than n generic components is a major challenge in both algebraic complexity theory and algorithm design, with many applications in statistical estimation. In this talk, I will describe a recent joint work (with Moitra and Wein) that gives an efficient algorithm for overcomplete tensor decomposition whenever r less than or equal to (2-eps)n for every constant eps greater than 0. A key component is a new rank-detection gadget based on Koszul Young Flattenings that reduces tensor rank certification to matrix rank certification.$

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Institute for Advanced Study |

Duality of Fluid Mechanics and Solution of Decaying Turbulence - Alexander Migdal