Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Procrustes for Manifold Embedding: A Measure of Embedding Quality
  and Embedding Algorithms   We present the Procrustes measure, a novel measure based on Procrustes
rotation that enables quantitative comparison of the output of manifold-based
embedding algorithms (such as LLE (Roweis and Saul, 2000) and Isomap (Tenenbaum
et al, 2000)). The measure also serves as a natural tool when choosing
dimension-reduction parameters. We also present two novel dimension-reduction
techniques that attempt to minimize the suggested measure, and compare the
results of these techniques to the results of existing algorithms. Finally, we
suggest a simple iterative method that can be used to improve the output of
existing algorithms.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th