多層感知器處理多分類問題的計算能力(英文)
發(fā)布時間: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...
【文章來源】:高等學校計算數(shù)學學報. 2020,42(03)北大核心CSCD
【文章頁數(shù)】:12 頁
【文章目錄】:
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
本文編號:3424882
【文章來源】:高等學校計算數(shù)學學報. 2020,42(03)北大核心CSCD
【文章頁數(shù)】:12 頁
【文章目錄】:
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
本文編號:3424882
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