133 research outputs found
AAANE: Attention-based Adversarial Autoencoder for Multi-scale Network Embedding
Network embedding represents nodes in a continuous vector space and preserves
structure information from the Network. Existing methods usually adopt a
"one-size-fits-all" approach when concerning multi-scale structure information,
such as first- and second-order proximity of nodes, ignoring the fact that
different scales play different roles in the embedding learning. In this paper,
we propose an Attention-based Adversarial Autoencoder Network Embedding(AAANE)
framework, which promotes the collaboration of different scales and lets them
vote for robust representations. The proposed AAANE consists of two components:
1) Attention-based autoencoder effectively capture the highly non-linear
network structure, which can de-emphasize irrelevant scales during training. 2)
An adversarial regularization guides the autoencoder learn robust
representations by matching the posterior distribution of the latent embeddings
to given prior distribution. This is the first attempt to introduce attention
mechanisms to multi-scale network embedding. Experimental results on real-world
networks show that our learned attention parameters are different for every
network and the proposed approach outperforms existing state-of-the-art
approaches for network embedding.Comment: 8 pages, 5 figure
Quasi-T\"oplitz functions in KAM theorem
We define and describe the class of Quasi-T\"oplitz functions. We then prove
an abstract KAM theorem where the perturbation is in this class. We apply this
theorem to a Non-Linear-Scr\"odinger equation on the torus , thus proving
existence and stability of quasi-periodic solutions and recovering the results
of [10]. With respect to that paper we consider only the NLS which preserves
the total Momentum and exploit this conserved quantity in order to simplify our
treatment.Comment: 34 pages, 1 figur
High-throughput sequencing of RNAs isolated by cross-linking immunoprecipitation (HITS-CLIP) reveals Argonaute-associated microRNAs and targets in Schistosoma japonicum
Sequences of SjAgo-associated novel miRNAs by the HITS-CLIP assay. (XLSX 16 kb
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