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  "Title": "Convenient Tool for Solving the Prize-Collecting Steiner Tree\nProblem",
  "Description": "The Prize-Collecting Steiner Tree problem asks to find a\nsubgraph connecting a given set of vertices with the most\nexpensive nodes and least expensive edges. Since it is proven\nto be NP-hard, exact and efficient algorithm does not exist.\nThis package provides convenient functionality for obtaining an\napproximate solution to this problem using loopy belief\npropagation algorithm.",
  "Author": "Aleksei Krasikov <krasikov.as@phystech.edu>",
  "Maintainer": "Aleksei Krasikov <krasikov.as@phystech.edu>",
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      "title": "Solve the Prize-Collecting Steiner Tree problem",
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      "headings": [
        "1 Steiner tree problem",
        "2 Belief propagation",
        "2.1 Preliminaries: graphical models and statistical inference",
        "2.1.1 Bayesian networks",
        "2.1.2 Markov random fields",
        "2.1.3 Factor graphs",
        "2.1.3 Statistical inference",
        "2.2 Belief propagation",
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        "2.2.2 Max-product",
        "2.2.3 Max-sum",
        "2.2.4 Complexity and correctness",
        "2.3 Loopy belief propagation",
        "2.3.1 Complexity and correctness",
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        "3.1 Graphical model",
        "$$P(\\mathbf{d}, \\mathbf{p})",
        "3.2 Message-passing equations for loop-free graphs",
        "$$m_{i\\rightarrow j} (d_j, p_j)",
        "3.3 Message-passing equations for graphs with cycles",
        "3.3.1 Implementation details",
        "3.3.2 Complete algorithm",
        "4 Additional features",
        "4.1 Prize-Collecting Steiner forest problem",
        "4 Workflow with the package"
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      "modified": "2020-08-21 18:48:15",
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