Bounds for the number of Boolean functions admitting affine approximations of a given accuracy

A. M. ZUBKOV; A. A. SEROV

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Bounds for the number of Boolean functions admitting affine approximations of a given accuracy

机译：允许给定精度的仿射近似的布尔函数数量的界

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摘要

We obtain two-sided bounds and asymptotic formulas for the number of Boolean functions of n variables which are approximated by affine or linear Boolean functions with a given accuracy.

机译：我们获得n个变量的布尔函数数量的双边界和渐近公式，这些布尔函数以仿射或线性布尔函数以给定的精度近似。

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《Discrete mathematics and applications 》 |2010年第6期| 共20页
作者
A. M. ZUBKOV; A. A. SEROV;
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正文语种 eng
中图分类离散数学 ;
关键词
bounds; asymptotic; formulas;

机译：边界;渐近;公式;

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专利

1. Bounds for the number of Boolean functions admitting affine approximations of a given accuracy [J] . A. M. ZUBKOV, A. A. SEROV Discrete mathematics and applications . 2010 ,第5a6期

机译：允许给定精度的仿射近似的布尔函数数量的界
2. Best Affine and Quadratic Approximations of Particular Classes of Boolean Functions [J] . Kolokotronis N., Limniotis K., Kalouptsidis N. Information Theory, IEEE Transactions on . 2009 ,第11期

机译：布尔函数特定类的最佳仿射和二次逼近
3. Piecewise affine approximations for functions of bounded variation [J] . Kristensen Jan, Rindler Filip Numerische Mathematik . 2016 ,第2期

机译：有界变化函数的分段仿射近似
4. Best Affine Approximations of Boolean Functions and Applications to Low Order Approximations [C] . Nicholas Kolokotronis, Konstantinos Limniotis, Nicholas Kalouptsidis IEEE International Symposium on Information Theory . 2007

机译：Boolean函数和应用程序到低阶近似的最佳带仿射近似值
5. Towards Understanding the Approximation of Boolean Functions by Nonclassical Polynomials [D] . Bhrushundi, Abhishek. 2020

机译：以非分类多项式了解布尔函数的近似
6. DEGREE OF APPROXIMATION BY BOUNDED HARMONIC FUNCTIONS [O] . J. L. Walsh 1960

机译：有界调和函数的逼近度
7. Piecewise affine approximations for functions of bounded variation [O] . Kristensen, Jan, Rindler, Filip 2015

机译：有界变差函数的分段仿射近似

Bounds for the number of Boolean functions admitting affine approximations of a given accuracy

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