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下卷积的次微分在极小化问题中的应用
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作者 陈春 《安徽师范大学学报(自然科学版)》 CAS 2005年第4期404-406,共3页
主要介绍了下卷积的一些基本性质,并且利用文献[1]中的结果以及Fenchel-共轭函数的性质,得到了下卷积在某些函数上的应用.
关键词 下卷积 ε-次微分 示性函数
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关于模糊值凸函数的共轭问题的研究 被引量:2
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作者 包玉娥 赵博 彭晓芹 《纯粹数学与应用数学》 CSCD 2013年第4期331-337,共7页
在Goetschel-Voxman所引进的序关系下,首先给出了模糊值凸函数的共轭函数的概念,并证明了模糊值凸函数的共轭函数是模糊值凸函数等相关性质;其次给出了模糊值凸函数的二次共轭函数的概念,并证明了相关性质;最后讨论了模糊值凸函数的共... 在Goetschel-Voxman所引进的序关系下,首先给出了模糊值凸函数的共轭函数的概念,并证明了模糊值凸函数的共轭函数是模糊值凸函数等相关性质;其次给出了模糊值凸函数的二次共轭函数的概念,并证明了相关性质;最后讨论了模糊值凸函数的共轭与下卷积之间的关系,证明了两个模糊值凸函数的共轭函数与其下卷积的共轭函数之间的等式关系. 展开更多
关键词 凸模糊值函数 共轭函数 下卷积 次微分
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模糊值m-凸函数的性质及其共轭问题的研究
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作者 廖甲根 杜廷松 《纯粹数学与应用数学》 2016年第1期84-92,共9页
基于m-凸函数提出了一类称为模糊值m-凸函数的新概念.首先,研究了模糊值m-凸函数的若干基本性质;其次,给出了模糊值m-凸函数的共轭函数的概念,并给出了模糊值m-凸函数在一定的条件下的共轭函数是模糊值m-凸函数等相关性质;最后,讨论了... 基于m-凸函数提出了一类称为模糊值m-凸函数的新概念.首先,研究了模糊值m-凸函数的若干基本性质;其次,给出了模糊值m-凸函数的共轭函数的概念,并给出了模糊值m-凸函数在一定的条件下的共轭函数是模糊值m-凸函数等相关性质;最后,讨论了两个模糊值m-凸函数的共轭函数与其下卷积的共轭函数之间的相互关系. 展开更多
关键词 模糊值m-凸函数 共轭函数 下卷积
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SA-FRCNN:An Improved Object Detection Method for Airport Apron Scenes 被引量:2
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作者 LYU Zonglei CHEN Liyun 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第4期571-586,共16页
The airport apron scene contains rich contextual information about the spatial position relationship.Traditional object detectors only considered visual appearance and ignored the contextual information.In addition,th... The airport apron scene contains rich contextual information about the spatial position relationship.Traditional object detectors only considered visual appearance and ignored the contextual information.In addition,the detection accuracy of some categories in the apron dataset was low.Therefore,an improved object detection method using spatial-aware features in apron scenes called SA-FRCNN is presented.The method uses graph convolutional networks to capture the relative spatial relationship between objects in the apron scene,incorporating this spatial context into feature learning.Moreover,an attention mechanism is introduced into the feature extraction process,with the goal to focus on the spatial position and key features,and distance-IoU loss is used to achieve a more accurate regression.The experimental results show that the mean average precision of the apron object detection based on SAFRCNN can reach 95.75%,and the detection effect of some hard-to-detect categories has been significantly improved.The proposed method effectively improves the detection accuracy on the apron dataset,which has a leading advantage over other methods. 展开更多
关键词 airport apron scene object detection graph convolutional network spatial context attention mechanism
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A deep dense captioning framework with joint localization and contextual reasoning
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作者 KONG Rui XIE Wei 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第9期2801-2813,共13页
Dense captioning aims to simultaneously localize and describe regions-of-interest(RoIs)in images in natural language.Specifically,we identify three key problems:1)dense and highly overlapping RoIs,making accurate loca... Dense captioning aims to simultaneously localize and describe regions-of-interest(RoIs)in images in natural language.Specifically,we identify three key problems:1)dense and highly overlapping RoIs,making accurate localization of each target region challenging;2)some visually ambiguous target regions which are hard to recognize each of them just by appearance;3)an extremely deep image representation which is of central importance for visual recognition.To tackle these three challenges,we propose a novel end-to-end dense captioning framework consisting of a joint localization module,a contextual reasoning module and a deep convolutional neural network(CNN).We also evaluate five deep CNN structures to explore the benefits of each.Extensive experiments on visual genome(VG)dataset demonstrate the effectiveness of our approach,which compares favorably with the state-of-the-art methods. 展开更多
关键词 dense captioning joint localization contextual reasoning deep convolutional neural network
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一类模糊值凸函数的若干运算性质 被引量:2
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作者 赵博 包玉娥 彭晓芹 《模糊系统与数学》 CSCD 北大核心 2012年第5期167-171,共5页
在Goetschel-Voxman所引进的序关系下,首先给出了生成函数的概念,证明了由一类凸集生成的函数是模糊值凸函数;其次利用上图的性质,建立了模糊值凸函数的下卷积、右乘等概念,并给出了相应的定理;最后讨论了模糊值函数的凸化问题,并给出... 在Goetschel-Voxman所引进的序关系下,首先给出了生成函数的概念,证明了由一类凸集生成的函数是模糊值凸函数;其次利用上图的性质,建立了模糊值凸函数的下卷积、右乘等概念,并给出了相应的定理;最后讨论了模糊值函数的凸化问题,并给出了其刻画定理。 展开更多
关键词 模糊值凸函数 生成函数 下卷积 右乘数 凸包
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A CLOSEDNESS CRITERION FOR THEDIFFERENCE OF TWO CLOSED CONVEXSETS IN GENERAL BANACH SPACES
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作者 ANNEBEAULIEU ZHOUFENG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第3期337-340,共4页
The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.
关键词 Asymptotic cone Conjugate convex function Closedness Infimal Convolution
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Automatic anatomical classification of colonoscopic images using deep convolutional neural networks
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作者 Hiroaki Saito Tetsuya Tanimoto +7 位作者 Tsuyoshi Ozawa Soichiro Ishihara Mitsuhiro Fujishiro Satoki Shichijo Dai Hirasawa Tomoki Matsuda Yuma Endo Tomohiro Tada 《Gastroenterology Report》 SCIE EI 2021年第3期226-233,I0002,共9页
Background:A colonoscopy can detect colorectal diseases,including cancers,polyps,and inflammatory bowel diseases.A computer-aided diagnosis(CAD)system using deep convolutional neural networks(CNNs)that can recognize a... Background:A colonoscopy can detect colorectal diseases,including cancers,polyps,and inflammatory bowel diseases.A computer-aided diagnosis(CAD)system using deep convolutional neural networks(CNNs)that can recognize anatomical locations during a colonoscopy could efficiently assist practitioners.We aimed to construct a CAD system using a CNN to distinguish colorectal images from parts of the cecum,ascending colon,transverse colon,descending colon,sigmoid colon,and rectum.Method:We constructed a CNN by training of 9,995 colonoscopy images and tested its performance by 5,121 independent colonoscopy images that were categorized according to seven anatomical locations:the terminal ileum,the cecum,ascending colon to transverse colon,descending colon to sigmoid colon,the rectum,the anus,and indistinguishable parts.We examined images taken during total colonoscopy performed between January 2017 and November 2017 at a single center.We evaluated the concordance between the diagnosis by endoscopists and those by the CNN.The main outcomes of the study were the sensitivity and specificity of the CNN for the anatomical categorization of colonoscopy images.Results:The constructed CNN recognized anatomical locations of colonoscopy images with the following areas under the curves:0.979 for the terminal ileum;0.940 for the cecum;0.875 for ascending colon to transverse colon;0.846 for descending colon to sigmoid colon;0.835 for the rectum;and 0.992 for the anus.During the test process,the CNN system correctly recognized 66.6%of images.Conclusion:We constructed the new CNN system with clinically relevant performance for recognizing anatomical locations of colonoscopy images,which is the first step in constructing a CAD system that will support us during colonoscopy and provide an assurance of the quality of the colonoscopy procedure. 展开更多
关键词 COLONOSCOPY deep learning ENDOSCOPY neural network
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