Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph Wedgelets: Adaptive Data Compression on Graphs based on Binary
  Wedge Partitioning Trees and Geometric Wavelets   We introduce graph wedgelets - a tool for data compression on graphs based on
the representation of signals by piecewise constant functions on adaptively
generated binary wedge partitionings of a graph. For this, we transfer
partitioning and compression techniques known for 2D images to general graph
structures and develop discrete variants of continuous wedgelets and binary
space partitionings. We prove that continuous results on best $m$-term
approximation with geometric wavelets can be transferred to the discrete graph
setting and show that our wedgelet representation of graph signals can be
encoded and implemented in a simple way. Finally, we illustrate that this
graph-based method can be applied for the compression of images as well.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th