Search Results for author: Jakob B. T. Knudsen

Found 2 papers, 1 papers with code

Oblivious Sketching of High-Degree Polynomial Kernels

1 code implementation3 Sep 2019 Thomas D. Ahle, Michael Kapralov, Jakob B. T. Knudsen, Rasmus Pagh, Ameya Velingker, David Woodruff, Amir Zandieh

Oblivious sketching has emerged as a powerful approach to speeding up numerical linear algebra over the past decade, but our understanding of oblivious sketching solutions for kernel matrices has remained quite limited, suffering from the aforementioned exponential dependence on input parameters.

Data Structures and Algorithms

Almost Optimal Tensor Sketch

no code implementations3 Sep 2019 Thomas D. Ahle, Jakob B. T. Knudsen

With another construction we get $\lambda$ times more rows $m=\tilde O(c\,\lambda^2\,\varepsilon^{-2}(\log1/\delta)^3)$, but the matrix can be applied to any vector $x^{(1)}\otimes\dots\otimes x^{(c)}\in R^{d^c}$ in just $\tilde O(c\, (d+m))$ time.

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