PARTITIONING A SET OF VECTORS WITH NONNEGATIVE INTEGER COORDINATES USING LOGICAL HARDWARE

S. L. Kryvyi; V. M. Opanasenko

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PARTITIONING A SET OF VECTORS WITH NONNEGATIVE INTEGER COORDINATES USING LOGICAL HARDWARE

机译：使用逻辑硬件对具有非负整数坐标的一组向量进行分区

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摘要

This article considers problems of partition of a set of vectors with nonnegative integer coordinates into two classes with respect to a threshold value and a threshold relation using adaptable logical networks. The correctness of the corresponding algorithms for implementing such a partition is proved for an arbitrary threshold value and a dimension of vectors.

机译：本文考虑了使用自适应逻辑网络将具有非负整数坐标的向量集相对于阈值和阈值关系分为两类的问题。对于任意阈值和向量维，证明了用于实现这种划分的相应算法的正确性。

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来源
《Cybernetics and Systems Analysis》 |2018年第2期|310-319|共10页
作者
S. L. Kryvyi; V. M. Opanasenko;
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作者单位

Taras Shevchenko National University of Kyiv;

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Boolean function; classification; integer vector; threshold relation;

机译：布尔函数;分类;整数向量;阈值关系;

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专利

1. PARTITIONING A SET OF VECTORS WITH INTEGER COORDINATES BY MEANS OF LOGICAL HARDWARE [J] . S.L.Kryvyi, V.M.Opanasenko, S.B.Zavyalov Cybernetics and Systems Analysis . 2019,第3期

机译：通过逻辑硬件对一组具有整数坐标的向量进行分区
2. ENUMERATING FUNCTIONS FOR NONNEGATIVE INTEGER COORDINATES OF L-DIMENSIONAL VECTORS [J] . S. L. Chernyshev Journal of Mathematical Sciences . 2010,第6期

机译：L维矢量的非负整数坐标的枚举函数
3. Partitions of the set of nonnegative integers with identical representation functions [J] . Yan Xiao-Hui International Journal of Number Theory . 2019,第10期

机译：具有相同表示函数的一组非负整数的分区
4. A Fast Algorithm for Nonnegative Tensor Factorization using Block Coordinate Descent and an Active-set-type method [C] . Krishnakumar Balasubramanian, Jingu Kim, Andrey Puretskiy, SIAM International Conference on Data Mining . 2010

机译：一种使用块坐标血迹和主动集型方法的非负张量分解的快速算法
5. Still image data compression using adaptive set partitioning wavelet vector quantization. [D] . Zhang, Bin. 2003

机译：使用自适应集划分小波矢量量化的静止图像数据压缩。
6. Elementary inequalities that involve two nonnegative vectors or functions [O] . Joel E. Cohen, J. H. B. Kemperman, Gheorghe Zbăganu 2004

机译：涉及两个非负向量或函数的基本不等式
7. Partitions of the set of nonnegative integers with the same representation functions [O] . Kiss Sándor, Sándor Csaba 2017

机译：具有相同表示函数的一组非负整数的分区
8. Hardware Index to Set Partition Converter. [R] . Butler, J. T., Sasao, T. 2013

机译：硬件索引设置分区转换器。

PARTITIONING A SET OF VECTORS WITH NONNEGATIVE INTEGER COORDINATES USING LOGICAL HARDWARE

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