arXiv Open Access 2018

Low-rank Approximation of Linear Maps

Patrick Heas Cedric Herzet

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Abstrak

This work provides closed-form solutions and minimum achievable errors for a large class of low-rank approximation problems in Hilbert spaces. The proposed theorem generalizes to the case of bounded linear operators the previous results obtained in the finite dimensional case for the Frobenius norm. The theorem provides the basis for the design of tractable algorithms for kernel or continuous DMD.

Topik & Kata Kunci

stat.ML cs.LG

Penulis (2)

Patrick Heas

Cedric Herzet

Format Sitasi

APA MLA BibTeX

Heas, P., Herzet, C. (2018). Low-rank Approximation of Linear Maps. https://arxiv.org/abs/1812.09042

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓