多层感知器处理多分类问题的计算能力（英文）
发布时间：2021-10-08 20:14
In this paper,we consider the design of output layer nodes of multiple linear perception network for solving r-class classification problems（r≥ 3）.In general,the output layer is designed in an "one-to-one" approach.Instead,we will adopt a "binary-coding" approach to build the output layer,which contains q nodes such that 2q-1 <r ≤2 q with q≥ 2 and outputs a binary code of the number i if an input belongs to the i-th class.In particular,for multiple linear perceptrons with four hidd...
【文章来源】：高等学校计算数学学报. 2020,42(03)北大核心CSCD
【文章页数】：12 页
【文章目录】：
1 Introduction
2 Linear perceptron and linear separability
3 Classification problem of the four-dimensional regular hypercube
4 Proofs of the main results
4.1 Proof of Theorem 3.1
4.1.1 Cases of 9≤r≤13
4.1.2 Cases of 14
4.2 Proof of Theorem 3.2
5 Conclusions
本文编号：3424882
【文章来源】：高等学校计算数学学报. 2020,42(03)北大核心CSCD
【文章页数】：12 页
【文章目录】：
1 Introduction
2 Linear perceptron and linear separability
3 Classification problem of the four-dimensional regular hypercube
4 Proofs of the main results
4.1 Proof of Theorem 3.1
4.1.1 Cases of 9≤r≤13
4.1.2 Cases of 14
4.2 Proof of Theorem 3.2
5 Conclusions
本文编号：3424882
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