Journal
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
Volume 14, Issue 5, Pages 2011-2022Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TII.2017.2766528
Keywords
Big data; high-dimensional and sparse matrix; learning algorithms; missing-data estimation; nonnegative latent factor analysis; optimization methods recommender system
Categories
Funding
- National Key Research and Development Program of China [2017YFC0804002]
- Royal Society of the UK [61611130209]
- National Natural Science Foundation of China [61611130209, 61772493, 91646114, 51609229]
- FDCT (Fundo para o Desenvolvimento das Ciencias e da Tecnologia) [119/2014/A3]
- Pioneer Hundred Talents Program of Chinese Academy of Sciences
- Young Scientist Foundation of Chongqing [cstc2014kjrc-qnrc40005]
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High-dimensional and sparse (HiDS) matrices are commonly encountered in many big-data-related and industrial applications like recommender systems. When acquiring useful patterns from them, nonnegative matrix factorization (NMF) models have proven to be highly effective owing to their fine representativeness of the nonnegative data. However, current NMF techniques suffer from: 1) inefficiency in addressing HiDS matrices; and 2) constraints in their training schemes. To address these issues, this paper proposes to extract nonnegative latent factors (NLFs) from HiDS matrices via a novel inherently NLF (INLF) model. It bridges the output factors and decision variables via a single-element-dependent mapping function, thereby making the parameter training unconstrained and compatible with general training schemes on the premise of maintaining the nonnegativity constraints. Experimental results on six HiDS matrices arising from industrial applications indicate that INLF is able to acquire NLFs from them more efficiently than any existing method does.
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