  Non-negative sparse coding is a method for decomposing multivariate data into
non-negative sparse components. In this paper we briefly describe the
motivation behind this type of data representation and its relation to standard
sparse coding and non-negative matrix factorization. We then give a simple yet
efficient multiplicative algorithm for finding the optimal values of the hidden
components. In addition, we show how the basis vectors can be learned from the
observed data. Simulations demonstrate the effectiveness of the proposed
method.
