SCIENTIA SINICA Informationis, Volume 48 , Issue 7 : 824-840(2018) https://doi.org/10.1360/N112017-00303

Backtracking analysis approach for effectiveness of air defense operation system of systems based on force-sparsed stacked-autoencoding neural networks

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  • ReceivedDec 31, 2017
  • AcceptedJan 28, 2018
  • PublishedJul 19, 2018


To reduce the difficulty of traditional data-mining methods in deep analysis of emerging capacity index mechanisms for a complex air defense system of systems (ADSOS), a novel backtracking analysis approach based on force-sparsed stacked-autoencoding (FS-SAE) neural networks is proposed. Using the method of big-data correlation analysis, community structure analysis in complex networks, and principle component analysis based on the mission task, the networked structure of an index system for ADSOS, which was a relatively complete architecture with a well-defined meaning, was obtained. An FS-SAE backtracking analysis model was build based on heuristic knowledge from the obtained networked index system structure. The emerging relations between the capacity indices of an ADSOS were formalized. Then, the formation mechanism and contribution rate of capacity indices were studied, and the validity of this approach was validated by the simulation data. The experimental results show that formalized presentation for the emergence process of capacity indices of ADSOS based on the proposed model not only reflects the complexity characteristics of nonlinearity and uncertainty in the emergence process, but also give a general defined meaning for the index structure of the ADSOS. It provides a feasible method for commanders to deeply understand, manage, and control the complex operation system of systems.

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  • Figure 1

    (Color online) The idea of backtracking analysis approach based on FS-SAE

  • Figure 2

    (Color online) The design route for the structure of FS-SAE model. (a) Initial index sets; (b) initial index networks; (c) function indexes for SOS; (d) eigen indexes of community; (e) multilayered structure

  • Figure 3

    The flowchart of GN algorithm

  • Figure 4

    (Color online) Scenario setting and the construction of the networked index system of ADSOS. (a) Illustration of scenario setting; (b) initial index networks; (c) index network communities; (d) multilayer networked index system

  • Figure 5

    (Color online) Convergence comparison of different algorithms

  • Figure 6

    (Color online) The distribution of function index expectation of ADSOS. (a) The probability of function index expectation; (b) the range and the average value of function index expectation

  • Table 1   MICs between the initial indexes
    Index $X$1 $X$2 $X$3 $X$4 $X$5 $X$6
    $X$2 0.22279
    $X$3 0.24872 0.87671
    $X$4 0.23126 0.51958 0.71057
    $X$5 0.24557 0.51958 0.55146 0.43817
    $X$6 0.95095 0.40619 0.24412 0.50126 0.99107
  • Table 2   The accuracy of FS-SAE models for the mission
    Model Training set accuracy (%) Testing set accuracy (%)
    FS-SAE 95 82
    Sparsed-SAE 84 73

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