GraphKKE: Graph Kernel Koopman Embedding for Human Microbiome Analysis
- URL: http://arxiv.org/abs/2008.05903v3
- Date: Thu, 19 Nov 2020 12:06:13 GMT
- Title: GraphKKE: Graph Kernel Koopman Embedding for Human Microbiome Analysis
- Authors: Kateryna Melnyk, Stefan Klus, Gr\'egoire Montavon, Tim Conrad
- Abstract summary: We propose a method for learning the embedding of the time-evolving graph.
We demonstrate that our method can capture temporary changes in the time-evolving graph on both created synthetic data and real-world data.
- Score: 0.2752817022620644
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: More and more diseases have been found to be strongly correlated with
disturbances in the microbiome constitution, e.g., obesity, diabetes, or some
cancer types. Thanks to modern high-throughput omics technologies, it becomes
possible to directly analyze human microbiome and its influence on the health
status. Microbial communities are monitored over long periods of time and the
associations between their members are explored. These relationships can be
described by a time-evolving graph. In order to understand responses of the
microbial community members to a distinct range of perturbations such as
antibiotics exposure or diseases and general dynamical properties, the
time-evolving graph of the human microbial communities has to be analyzed. This
becomes especially challenging due to dozens of complex interactions among
microbes and metastable dynamics. The key to solving this problem is the
representation of the time-evolving graphs as fixed-length feature vectors
preserving the original dynamics. We propose a method for learning the
embedding of the time-evolving graph that is based on the spectral analysis of
transfer operators and graph kernels. We demonstrate that our method can
capture temporary changes in the time-evolving graph on both created synthetic
data and real-world data. Our experiments demonstrate the efficacy of the
method. Furthermore, we show that our method can be applied to human microbiome
data to study dynamic processes.
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