Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointspectrum: Equivariance Meets Laplacian Filtering for Graph
  Representation Learning   Graph Representation Learning (GRL) has become essential for modern graph
data mining and learning tasks. GRL aims to capture the graph's structural
information and exploit it in combination with node and edge attributes to
compute low-dimensional representations. While Graph Neural Networks (GNNs)
have been used in state-of-the-art GRL architectures, they have been shown to
suffer from over smoothing when many GNN layers need to be stacked. In a
different GRL approach, spectral methods based on graph filtering have emerged
addressing over smoothing; however, up to now, they employ traditional neural
networks that cannot efficiently exploit the structure of graph data. Motivated
by this, we propose PointSpectrum, a spectral method that incorporates a set
equivariant network to account for a graph's structure. PointSpectrum enhances
the efficiency and expressiveness of spectral methods, while it outperforms or
competes with state-of-the-art GRL methods. Overall, PointSpectrum addresses
over smoothing by employing a graph filter and captures a graph's structure
through set equivariance, lying on the intersection of GNNs and spectral
methods. Our findings are promising for the benefits and applicability of this
architectural shift for spectral methods and GRL.

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The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex