In this paper,we introduce some ideal-derived-set mappings in uniform spaces and investigate the images of those mappings.Meanwhile,we introduce a concept of I-Hurewicz boundedness,study some basic topological operati...In this paper,we introduce some ideal-derived-set mappings in uniform spaces and investigate the images of those mappings.Meanwhile,we introduce a concept of I-Hurewicz boundedness,study some basic topological operations of them.Finally,we obtain an equivalent characterization of I-Hurewicz boundedness in uniform spaces.展开更多
针对大众标注网站推荐系统中存在的数据矩阵稀疏性影响推荐效果的问题,文中采取如下策略:对标注数据进行K-means聚类,将具有相似标签特征的项目进行归类以保证数据具有初始聚合性;聚类完成后运用高阶奇异值分解(high order singular val...针对大众标注网站推荐系统中存在的数据矩阵稀疏性影响推荐效果的问题,文中采取如下策略:对标注数据进行K-means聚类,将具有相似标签特征的项目进行归类以保证数据具有初始聚合性;聚类完成后运用高阶奇异值分解(high order singular value decomposition,HOSVD)对聚类后的标注数据建立多维张量模型.该策略重点利用张量分解方法对含有用户、标签和项目的三元数据组进行分析,可以进一步改进稀疏性问题,同时形成对项目资源的个性化推荐.通过对社交书签网站Delicious.com的标注数据的处理,验证该方法对解决推荐系统中矩阵稀疏性问题以及提高推荐效果具有改进效果.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.12171015)the Natural Science Foundation of Fujian Province(Grant Nos.2023J011078+1 种基金2020J05230)the Project of Innovation Groups of Ningde Normal University(Grant No.2023T01)。
文摘In this paper,we introduce some ideal-derived-set mappings in uniform spaces and investigate the images of those mappings.Meanwhile,we introduce a concept of I-Hurewicz boundedness,study some basic topological operations of them.Finally,we obtain an equivalent characterization of I-Hurewicz boundedness in uniform spaces.
文摘针对大众标注网站推荐系统中存在的数据矩阵稀疏性影响推荐效果的问题,文中采取如下策略:对标注数据进行K-means聚类,将具有相似标签特征的项目进行归类以保证数据具有初始聚合性;聚类完成后运用高阶奇异值分解(high order singular value decomposition,HOSVD)对聚类后的标注数据建立多维张量模型.该策略重点利用张量分解方法对含有用户、标签和项目的三元数据组进行分析,可以进一步改进稀疏性问题,同时形成对项目资源的个性化推荐.通过对社交书签网站Delicious.com的标注数据的处理,验证该方法对解决推荐系统中矩阵稀疏性问题以及提高推荐效果具有改进效果.