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Fast damped Gauss-Newton algorithm for nonnegative matrix factorization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F11%3A00360026" target="_blank" >RIV/67985556:_____/11:00360026 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fast damped Gauss-Newton algorithm for nonnegative matrix factorization

  • Original language description

    Alternating optimization algorithms for canonical polyadic decomposition (with/without nonnegative constraints) often accompany update rules with low computational cost, but could face problems of swamps, bottlenecks, and slow convergence. All-at-once algorithms can deal with such problems, but always demand significant temporary extra-storage, and high computational cost. In this paper, we propose an allat- once algorithmwith lowcomplexity for sparse and nonnegative tensor factorization based on the damped Gauss-Newton iteration. Especially, for low-rank approximations, the proposed algorithm avoids building up Hessians and gradients, reduces the computational cost dramatically. Moreover, we proposed selection strategies for regularization parameters.The proposed algorithm has been verified to overwhelmingly outperform ?state-of-the-art NTF algorithms for difficult benchmarks, and for real-world application such as clustering of the ORL face database.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 2011

  • ISBN

    978-1-4577-0539-7

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    1988-1991

  • Publisher name

    IEEE

  • Place of publication

    Piscataway

  • Event location

    Praha

  • Event date

    May 22, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article