Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-Aspect Temporal Network Embedding: A Mixture of Hawkes Process
  View   Recent years have witnessed the tremendous research interests in network
embedding. Extant works have taken the neighborhood formation as the critical
information to reveal the inherent dynamics of network structures, and
suggested encoding temporal edge formation sequences to capture the historical
influences of neighbors. In this paper, however, we argue that the edge
formation can be attributed to a variety of driving factors including the
temporal influence, which is better referred to as multiple aspects. As a
matter of fact, different node aspects can drive the formation of distinctive
neighbors, giving birth to the multi-aspect embedding that relates to but goes
beyond a temporal scope. Along this vein, we propose a Mixture of Hawkes-based
Temporal Network Embeddings (MHNE) model to capture the aspect-driven
neighborhood formation of networks. In MHNE, we encode the multi-aspect
embeddings into the mixture of Hawkes processes to gain the advantages in
modeling the excitation effects and the latent aspects. Specifically, a graph
attention mechanism is used to assign different weights to account for the
excitation effects of history events, while a Gumbel-Softmax is plugged in to
derive the distribution over the aspects. Extensive experiments on 8 different
temporal networks have demonstrated the great performance of the multi-aspect
embeddings obtained by MHNE in comparison with the state-of-the-art methods.

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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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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: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th