Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Falling Factorial Basis and Its Statistical Applications   We study a novel spline-like basis, which we name the "falling factorial
basis", bearing many similarities to the classic truncated power basis. The
advantage of the falling factorial basis is that it enables rapid, linear-time
computations in basis matrix multiplication and basis matrix inversion. The
falling factorial functions are not actually splines, but are close enough to
splines that they provably retain some of the favorable properties of the
latter functions. We examine their application in two problems: trend filtering
over arbitrary input points, and a higher-order variant of the two-sample
Kolmogorov-Smirnov test.

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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc