Unified Solution to Nonnegative Data Factorization Problems

@article{Liu2009UnifiedST,
  title={Unified Solution to Nonnegative Data Factorization Problems},
  author={Xiaobai Liu and Shuicheng Yan and Jun Yan and Hai Jin},
  journal={2009 Ninth IEEE International Conference on Data Mining},
  year={2009},
  pages={307-316}
}
In this paper, we restudy the non-convex data factorization problems (regularized or not, unsupervised or supervised), where the optimization is confined in the \emph{nonnegative} orthant, and provide a \emph{unified} convergency provable solution based on multiplicative nonnegative update rules. This solution is general for optimization problems with block-wisely quadratic objective functions, and thus direct update rules can be derived by skipping over the tedious specific procedure deduction… CONTINUE READING
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