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Formally, the template graph of D (denoted by T = (V, E T, ϕ is an edge weighted graph where E T is the set of all edges in D, ϕ : E T → ℝ and ϕ (e ) = - log (f r (e, D ) ), ∀ e ∈ E T. Figure 2 shows an example with a sample collection of graphs and clarify the idea presented above.
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To decompose sub-scenes into individual indoor objects, we devise an anchor-guided subgraph matching algorithm which leverages template graphs to partition the graphs into subgraphs (i.e., individual objects), which is capable of handling arbitrarily oriented objects within scenes.
SiS takes advantage of the template graph while finding the most probable subgraphs of a user-given size, k.
SiS enumerates the subgraphs of the template graph incrementally, i.e., by extending smaller subgraphs to larger subgraphs.
First, a binary matrix, whose rows correspond to edges of the template graph, and columns correspond to the graphs, is constructed.
We name this graph the template graph.
SiS initializes a weighted graph named the template graph that summarizes the input graphs.
For each maximal frequent edgeset, a collection of highly-connected subgraphs (k-cliques and percolated k-cliques) is extracted from the induced subgraph within the template graph.
In other words, SiS finds the subgraphs of k interactions with the largest probability to appear in a network selected randomly from the input data set (i.e., size- k subgraphs with smallest total edge weights in the template graph).
Because the contigs do not contain detailed read information, we map templates (read pairs) to contigs based on shared k-mer content, and dividing the resulting graph of contigs linked by templates into batches small enough for Bambus to process.
Then referring to the causality graph template of each type of components, we create the corresponding belief network instance for each network component.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com