The critical group K(G) of a directed graph G=(V,E) is the cokernel of the transpose of the Laplacian matrix of G acting on the integer lattice Z^V. For undirected graphs G, this has been considered by Bacher, de la Harpe, and Nagnibeda, and by Biggs. We prove several things, ...
BNs aim to model conditional dependencies and therefore causation by representing conditional dependencies as edges and random variables as nodes in a directed acyclic graph. The flow of information between two nodes is reflected by the direction of the edges, giving an idea of their causal ...
Transposing a graph changes the directions of all edges to the opposite. edges(transpose(funcs)) #> from to #> 1 drop_internal get_deps #> 2 get_deps restore #> 3 get_description get_deps #> 4 parse_deps get_deps #> 5 cran_file cran_file #> 6 cran_file download_urls #> 7 do...
The form of such an implementation either in a relational database, triple store, or directly modelled in memory, is left open to the implementation. Our model should also be reducible to a more generalised acyclic directed graph model without much difficulty. Goals/characteristics of STAM are: ...
Being essentially a mathematical function, a DL model is formalized by the frameworks as a tensor-oriented computation graph. It is a directed acyclic graph (DAG) in which each node represents the invocation of some mathematical opera- tion (aka operator. e.g., matrix multiplication). The ...
Fig. 1: General classification of repeats, the typical structure of TEs and TRs, and the proportion of various types of repetitive elements in the human genome. Sub-graph (a): Classification of repeats in the human genome. Sub-graph (b): Arrangement and characterization of repeats in the hu...
I reached the breaking point and searched for a better solution, but found none. I briefly hopedenum_dispatchwould save me, but discovered otherwise; it mostly behaves like a stack-allocated alternative toBox<dyn ...>. Neither of these can do type-joining operations like the transpose above,...
Makes the selected room (impulse response) smaller or larger. This transposes room modes and resonances, tightens or spreads early reflections, and shortens or lengthens the reverb tail. Pre-delay Delays the onset of the reverb. If the note symbol is clicked, the timing of the delay is locke...
1). In this method, each narrative is transformed into a network of interconnected events based on semantic similarity measured from sentence embedding distances (the semantic narrative network). We then calculate semantic centrality for each event as the node degree, a graph metric which quantif...
D. et al. Single-cell chromatin accessibility reveals principles of regulatory variation. Nature 523, 486–490 (2015). This paper introduces single-cell assay for transpose-accessible chromatin (scATAC) technology. Article CAS PubMed PubMed Central Google Scholar Ramirez, R. N. et al. Dynamic...