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    Solving the linear interval tolerance problem for weight initialization of neural networks

    Adam, S.P. and Karras, D.A. and Magoulas, George D. and Vrahatis, M.N. (2014) Solving the linear interval tolerance problem for weight initialization of neural networks. Neural Networks 54 , pp. 17-37. ISSN 0893-6080.

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    Abstract

    Determining good initial conditions for an algorithm used to train a neural network is considered a parameter estimation problem dealing with uncertainty about the initial weights. Interval Analysis approaches model uncertainty in parameter estimation problems using intervals and formulating tolerance problems. Solving a tolerance problem is defining lower and upper bounds of the intervals so that the system functionality is guaranteed within predefined limits. The aim of this paper is to show how the problem of determining the initial weight intervals of a neural network can be defined in terms of solving a linear interval tolerance problem. The proposed Linear Interval Tolerance Approach copes with uncertainty about the initial weights without any previous knowledge or specific assumptions on the input data as required by approaches such as fuzzy sets or rough sets. The proposed method is tested on a number of well known benchmarks for neural networks trained with the back-propagation family of algorithms. Its efficiency is evaluated with regards to standard performance measures and the results obtained are compared against results of a number of well known and established initialization methods. These results provide credible evidence that the proposed method outperforms classical weight initialization methods.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Neural networks, Weight initialization, Interval analysis, Linear interval tolerance problem
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems
    Research Centre: Birkbeck Knowledge Lab
    Depositing User: Prof George Magoulas
    Date Deposited: 22 Dec 2015 11:38
    Last Modified: 02 Dec 2016 13:23
    URI: http://eprints.bbk.ac.uk/id/eprint/13757

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