Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Tight Wavelet Frames with Few Generators and High Vanishing
  Moments   Tight wavelet frames are computationally and theoretically attractive, but
most existing multivariate constructions have various drawbacks, including low
vanishing moments for the wavelets, or a large number of wavelet masks. We
further develop existing work combining sums of squares representations with
tight wavelet frame construction, and present a new and general method for
constructing such frames. Focusing on the case of box splines, we also
demonstrate how the flexibility of our approach can lead to tight wavelet
frames with high numbers of vanishing moments for all of the wavelet masks,
while still having few highpass masks: in fact, we match the best known upper
bound on the number of highpass masks for general box spline tight wavelet
frame constructions, while typically achieving much better vanishing moments
for all of the wavelet masks, proving a nontrivial lower bound on this
quantity.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: physics