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REPORTS > AUTHORS > DEVANSH SHRINGI:
All reports by Author Devansh Shringi:

TR24-123 | 22nd July 2024
Vishwas Bhargava, Devansh Shringi

Faster & Deterministic FPT Algorithm for Worst-Case Tensor Decomposition

We present a deterministic $2^{k^{\mathcal{O}(1)}} \text{poly}(n,d)$ time algorithm for decomposing $d$-dimensional, width-$n$ tensors of rank at most $k$ over $\mathbb{R}$ and $\mathbb{C}$. This improves upon the previous randomized algorithm of Peleg, Shpilka, and Volk (ITCS '24) that takes $2^{k^{k^{\mathcal{O}(k)}}} \text{poly}(n,d)$ time and the deterministic $n^{k^k}$ time algorithms of Bhargava, Saraf, ... more >>>




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