抽象凸空间上类K的性质及聚合不动点定理

给出抽象凸空间上映射类K的两个性质,利用已知抽象凸空间上的重叠点定理讨论抽象凸空间上映射的不动点存在问题,得到了若干新的不动点定理,同时进一步给出了抽象凸空间族的乘积空间上映射族的聚合不动点定理.

Weakly KKM Map,Intersection Theorems and Minimax Inequalities on Abstract Convex Spaces

In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.

基于改进YOLOv3算法的水面漂浮物检测方法

针对人工湖中的水面漂浮物检测问题,提出了一种基于改进YOLOv3的水面漂浮物目标检测算法,目标检测包括目标识别与目标定位。首先通过改进的k-means聚类算法获取先验框,以提高定位框与数据集标注框的匹配度,其次在YOLOv3算法框架的3个预测支路中添加类别激活映射(CAM),将原基于边界框的定位方式替换成基于像素点进行定位。实验结果表明:改进的YOLOv3算法提高了识别精度,降低了定位误差。识别精度为97.49%,比YOLOv3算法提高5.14%,平均定位误差为2.60个像素点,比YOLOv3算法减小了1.36。