Nonlinear Mapping Performance Analysis of Polynomial Perceptron and Its Lattice Realization

向增俊; 毕光国; 吴伯修

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Nonlinear Mapping Performance Analysis of Polynomial Perceptron and Its Lattice Realization

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- Nonlinear Mapping Performance Analysis of Polynomial Perceptron and Its Lattice Realization
- Acta Electronica Sinica Issue 4, (1994)
- 作者机构：
  
  南京东南大学无线电系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP18
- Published：1994
- 稿件说明：
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[1]向增俊,毕光国,吴伯修.多项式感知器的非线性映射性能分析及其格型实现[J].电子学报,1994(04):24-32.

向增俊, 毕光国, 吴伯修. Nonlinear Mapping Performance Analysis of Polynomial Perceptron and Its Lattice Realization[J]. Acta Electronica Sinica, 1994, (4).
[1]向增俊,毕光国,吴伯修.多项式感知器的非线性映射性能分析及其格型实现[J].电子学报,1994(04):24-32. DOI：

向增俊, 毕光国, 吴伯修. Nonlinear Mapping Performance Analysis of Polynomial Perceptron and Its Lattice Realization[J]. Acta Electronica Sinica, 1994, (4). DOI：

摘要

本文详细分析了多项式感知器的非线性映射性能，证明了满足Ｓｔｏｎｅ－Ｗｅｉｅｒｓｔｒａｓｓ定理的多项式感知器可以逼近任一连续函数，并具有与四层神经网络相一致的非线性映射能力。导出了便于ＶＬＳＩ实现的多项式感知器的格型实现算法，进行了计算机模拟，并给出了相应的数值结果。

Abstract

The nonlinear mapping ability of polynomial perceptron （PP）is analyzed in this paper

which shows that any continuous functions can be approximated with any given accuracy by the polynomial perceptron satisfying Stone-Weierstrass Theorem and the nonlinear mapping ability of the polynomial perceptron is the same as that of multilayer perceptron （MLP）. A new lattice polynomial perceptron （LPP） model is derived

which is very suitable for VLSI implementation. Computer simulations have been carried out and the experimental results are given.

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