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k-集合链域交的森林表示及求解(英文)
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作者 许胤龙 顾晓东 +1 位作者 万颖瑜 陈国良 《中国科学技术大学学报》 CAS CSCD 北大核心 2000年第2期135-141,共7页
k个集合S1,S2 ,… ,Sk的链域交是由所有满足以下条件的k元组 (s1,s2 ,… ,sk)组成的集合 :e( 1)i si-si+1 e( 2 )i ,其中sk ∈Sk,si ∈Si,0 e( 1)i e( 2 )i 是常数( 1 i k - 1 ) .已知的求链域交的算法采用k元组表示k集合的链域交 ... k个集合S1,S2 ,… ,Sk的链域交是由所有满足以下条件的k元组 (s1,s2 ,… ,sk)组成的集合 :e( 1)i si-si+1 e( 2 )i ,其中sk ∈Sk,si ∈Si,0 e( 1)i e( 2 )i 是常数( 1 i k - 1 ) .已知的求链域交的算法采用k元组表示k集合的链域交 ,其最坏情况时间复杂度为Ω(k∏ki=1ni) ,其中ni=|Si| ,1 i k .本文采用森林表示k集合的链域交 ,并基于这种表示方法提出了一个求链域交的串行算法 .该算法的最坏情况时间复杂度为Ω( ∑k-1i=1nini+1) ,极大地改进了已知的结果 . 展开更多
关键词 时间复杂度 森林表示 链域交 k-集合 串行算法
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A K-means clustering based blind multiband spectrum sensing algorithm for cognitive radio 被引量:2
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作者 LEI Ke-jun TAN Yang-hong +1 位作者 YANG Xi WANG Han-rui 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第10期2451-2461,共11页
In this paper,a blind multiband spectrum sensing(BMSS)method requiring no knowledge of noise power,primary signal and wireless channel is proposed based on the K-means clustering(KMC).In this approach,the KMC algorith... In this paper,a blind multiband spectrum sensing(BMSS)method requiring no knowledge of noise power,primary signal and wireless channel is proposed based on the K-means clustering(KMC).In this approach,the KMC algorithm is used to identify the occupied subband set(OSS)and the idle subband set(ISS),and then the location and number information of the occupied channels are obtained according to the elements in the OSS.Compared with the classical BMSS methods based on the information theoretic criteria(ITC),the new method shows more excellent performance especially in the low signal-to-noise ratio(SNR)and the small sampling number scenarios,and more robust detection performance in noise uncertainty or unequal noise variance applications.Meanwhile,the new method performs more stablely than the ITC-based methods when the occupied subband number increases or the primary signals suffer multi-path fading.Simulation result verifies the effectiveness of the proposed method. 展开更多
关键词 cognitive radio(CR) blind multiband spectrum sensing(BMSS) k-means clustering(KMC) occupied subband set(OSS) idle subband set(ISS) information theoretic criteria(ITC) noise uncertainty
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具有分布时滞的中立型神经网络周期解的存在性
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作者 董大鹏 胡成 蒋海军 《新疆大学学报(自然科学版)》 CAS 2013年第4期408-417,共10页
运用k-集合压缩算子的抽象连续定理,研究了一类具有分布时滞的中立型细胞神经网络,得到了该类神经网络存在周期解的充分条件.
关键词 中立型神经网络 分布时滞 周期解 k-集合压缩
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Single Image Super-Resolution by Clustered Sparse Representation and Adaptive Patch Aggregation
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作者 黄伟 肖亮 +2 位作者 韦志辉 费选 王凯 《China Communications》 SCIE CSCD 2013年第5期50-61,共12页
A Single Image Super-Resolution (SISR) reconstruction method that uses clustered sparse representation and adaptive patch aggregation is proposed. First, we randomly extract image patch pairs from the training images,... A Single Image Super-Resolution (SISR) reconstruction method that uses clustered sparse representation and adaptive patch aggregation is proposed. First, we randomly extract image patch pairs from the training images, and divide these patch pairs into different groups by K-means clustering. Then, we learn an over-complete sub-dictionary pair offline from corresponding group patch pairs. For a given low-resolution patch, we adaptively select one sub-dictionary to reconstruct the high resolution patch online. In addition, non-local self-similarity and steering kernel regression constraints are integrated into patch aggregation to improve the quality of the recovered images. Experiments show that the proposed method is able to realize state-of-the-art performance in terms of both objective evaluation and visual perception. 展开更多
关键词 super-resolution sparse representation non-local means steering kernel regression patch aggregation
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Mixing via the extended family
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作者 KUANG Rui 《Science China Mathematics》 SCIE 2014年第2期367-376,共10页
In this paper,the relationship between the extended family and several mixing properties in measuretheoretical dynamical systems is investigated.The extended family eF related to a given family F can be regarded as th... In this paper,the relationship between the extended family and several mixing properties in measuretheoretical dynamical systems is investigated.The extended family eF related to a given family F can be regarded as the collection of all sets obtained as"piecewise shifted"members of F.For a measure preserving transformation T on a Lebesgue space(X,B,μ),the sets of"accurate intersections of order k"defined below are studied,Nε(A0,A1,...,Ak)=n∈Z+:μk i=0T inAiμ(A0)μ(A1)μ(Ak)<ε,for k∈N,A0,A1,...,Ak∈B and ε>0.It is shown that if T is weakly mixing(mildly mixing)then for any k∈N,all the sets Nε(A0,A1,...,Ak)have Banach density 1(are in(eFip),i.e.,the dual of the extended family related to IP-sets). 展开更多
关键词 FAMILY the extended family weak mixing mild mixing order
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