Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonnegative Matrix Factorization with Toeplitz Penalty   Nonnegative Matrix Factorization (NMF) is an unsupervised learning algorithm
that produces a linear, parts-based approximation of a data matrix. NMF
constructs a nonnegative low rank basis matrix and a nonnegative low rank
matrix of weights which, when multiplied together, approximate the data matrix
of interest using some cost function. The NMF algorithm can be modified to
include auxiliary constraints which impose task-specific penalties or
restrictions on the cost function of the matrix factorization. In this paper we
propose a new NMF algorithm that makes use of non-data dependent auxiliary
constraints which incorporate a Toeplitz matrix into the multiplicative
updating of the basis and weight matrices. We compare the facial recognition
performance of our new Toeplitz Nonnegative Matrix Factorization (TNMF)
algorithm to the performance of the Zellner Nonnegative Matrix Factorization
(ZNMF) algorithm which makes use of data-dependent auxiliary constraints. We
also compare the facial recognition performance of the two aforementioned
algorithms with the performance of several preexisting constrained NMF
algorithms that have non-data-dependent penalties. The facial recognition
performances are evaluated using the Cambridge ORL Database of Faces and the
Yale Database of Faces.

14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph