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Then, 3D orientations of edge lines are estimated by a factor graph inference.
First, consider an n-bit SI-LDPC code[17] whose parity check matrix H can be represented by a factor graph with code bit variable (CBV) nodes x(1),…,x(n) and parity check factor (PCF) nodes (representing parity check equations), channel output variable (COV) nodes y(1),…,y(n), and the channel factor (CF) nodes.
While the parity check matrix H of each SI-LDPC code whose code bits are x k (1),…,x k (n) can be represented by a factor graph, for the joint decoding of the two codes, the combined factor graph as shown in Figure3 has to be used, where the COV nodes y(1),…,y(n) are linked to factor nodes ϕ y(i),x1(i),x2(i)), i = 1,…,n which represent (combined) SCF nodes.
The method, that can use many types of omics data, represents a gene by a factor graph with associated known activity and expression.
A gene is modeled by a factor graph as a set of interconnected variables encoding the expression and known activity of a gene and its products, allowing the incorporation of many types of omic data as evidence.
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By formulating a factor graph to represent the SFH/BPSK systems, symbols of the desired user and the virtual user and the structure of the virtual user can be estimated jointly through several iterations.
The problem of coordinating parameters can be solved adopting basically two types of solutions: (1) centralized approach, which yields the optimal global parameter vector, and (2) distributed approaches, which on one hand often provide suboptimal solutions through greedy techniques such as non-cooperative games, but on the other hand can provide near-optimal solutions by using a factor graph.
In April 2014, we added a new experimental feature for performing integrated pathway analysis for multiple genomic data types by adapting a factor graph based approach called "PARADIGM" into ReactomeFIViz.
The quantities μ ( i ) = E c | r, ν Ì‚ ( i âˆ' 1 ), (18) σ ( i ) = E | c | 2 | r, ν Ì‚ ( i âˆ' 1 ) (19). are the a posteriori expectations (APEs) of c and |c|2 and are easily derived from the marginal a posteriori probabilities of the coded symbols, which are obtainable by message passing on a factor graph [14].
By representing the ISI channel as a factor graph, the BP algorithm can be used to implement MAP detection, thereby finding the sequence x which maximizes the joint a posteriori probability density function P(x | y).
Our approach is based on a factor graph representation of the constraint network.
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