The junction tree algorithm (also known as 'Clique Tree') is a method used in machine learning to extract marginalization in general graphs. In essence, it entails performing belief propagation on a modified graph called a junction tree. The graph is called a tree because it branches into different sections of data; nodes of variables are the branches.[1] The basic premise is to eliminate cycles by clustering them into single nodes. Multiple extensive classes of queries can be compiled at the same time into larger structures of data.[1] There are different algorithms to meet specific needs and for what needs to be calculated. Inference algorithms gather new developments in the data and calculate it based on the new information provided.[2]
^ abPaskin, Mark. "A Short Course on Graphical Models" (PDF). Stanford.
The junctiontreealgorithm (also known as 'Clique Tree') is a method used in machine learning to extract marginalization in general graphs. In essence...
computational problems on the graph. Tree decompositions are also called junctiontrees, clique trees, or join trees. They play an important role in problems...
satisfiability. The algorithm was first proposed by Judea Pearl in 1982, who formulated it as an exact inference algorithm on trees, later extended to...
spanning tree. Loops, which can confound naive maze solvers, may be introduced by adding random edges to the result during the course of the algorithm. The...
personality traits for the assessment of individual adjustment Junctiontreealgorithm, a method used in machine learning to extract marginalization in...
implementing belief propagation. A clique tree or junctiontree is a tree of cliques, used in the junctiontreealgorithm. A chain graph is a graph which may...
undirected form of a directed acyclic graph. It is a key step of the junctiontreealgorithm, used in belief propagation on graphical models. The moralized...
subgraph of a chordal graph. The tree decomposition of a graph is also the junctiontree of the junctiontreealgorithm. Interval graphs are the intersection...
(RPN), or an abstract syntax tree (AST). The algorithm was invented by Edsger Dijkstra and named the "shunting yard" algorithm because its operation resembles...
straightforward Viterbi algorithm has complexity O ( N 2 K T ) {\displaystyle O(N^{2K}\,T)} . To find an exact solution, a junctiontreealgorithm could be used...
The JunctionTreeAlgorithms http://www-anw.cs.umass.edu/~cs691t/SS02/lectures/week7.PDF Archived 2012-05-26 at the Wayback Machine The JunctionTree Algorithm...
Tree decomposition (Junctiontree) and treewidth Graph triangulation (see also Chordal graph) Perfect order Hidden Markov model Baum–Welch algorithm Viterbi...
M N O P Q R S T U V W X Y Z See also References External links junctiontreealgorithm A method used in machine learning to extract marginalization in...
we describe the algorithm on hidden Markov models. It can be easily generalized to dynamic Bayesian networks by using a junctiontree. Belief propagation...
distance between two important junctions such that the algorithm doesn't have to consider the full path between these junctions at query time. Contraction...
edge weight. Bellman–Ford algorithm solves the single-source problem if edge weights may be negative. A* search algorithm solves for single-pair shortest...
where A are descendant labels and B is a junction label. Gibbons, Jeremy (1991). Algebras for TreeAlgorithms (PDF) (Ph.D.). Oxford University. Gibbons...
recursive algorithm based on the operations of union and intersection. MA thesis: BYU Melby, Alan K. (1972). “A Formalization of Junction Grammar.” LINGUISTICS...
The cover article of the August 1985 Scientific American introduced the algorithm for computing the Mandelbrot set. The cover was created by Peitgen, Richter...
by a Tree Traversal Algorithm, Journal of the ACM, 23 (1976), pp. 368–388. L. Chen, The lambda-connected segmentation and the optimal algorithm for split-and-merge...
Group on Algorithms and Computation Theory (SIGACT) provides the following description: TCS covers a wide variety of topics including algorithms, data structures...
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