Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolating splines on graphs for data science applications   We introduce intrinsic interpolatory bases for data structured on graphs and
derive properties of those bases. Polyharmonic Lagrange functions are shown to
satisfy exponential decay away from their centers. The decay depends on the
density of the zeros of the Lagrange function, showing that they scale with the
density of the data. These results indicate that Lagrange-type bases are ideal
building blocks for analyzing data on graphs, and we illustrate their use in
kernel-based machine learning applications.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph