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Persistent homology allows us to create topological summaries of complex data. In order to analyse these statistically, we need to choose a topological summary and a relevant metric space in which this topological summary exists. While…

代数拓扑 · 数学 2019-06-24 Katharine Turner , Gard Spreemann

The color of a star is a critical feature to reflect its physical property such as the temperature. The color index is usually obtained via absolute photometry, which is demanding for weather conditions and instruments. In this work, we…

天体物理仪器与方法 · 物理学 2023-09-06 B. F. Guo , Q. Y. Peng , X. Q. Fang , F. R. Lin

Feature compression, as an important branch of video coding for machines (VCM), has attracted significant attention and exploration. However, the existing methods mainly focus on intra-feature similarity, such as the Mean Squared Error…

计算机视觉与模式识别 · 计算机科学 2024-05-08 Changsheng Gao , Yiheng Jiang , Li Li , Dong Liu , Feng Wu

Covariance and histogram image descriptors provide an effective way to capture information about images. Both excel when used in combination with special purpose distance metrics. For covariance descriptors these metrics measure the…

机器学习 · 统计学 2015-05-26 Matt J. Kusner , Nicholas I. Kolkin , Stephen Tyree , Kilian Q. Weinberger

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

机器学习 · 计算机科学 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Shape differences are manifested in cortical structures due to neuropsychiatric disorders. Such differences can be measured by labeled cortical distance mapping (LCDM) which characterizes the morphometry of the laminar cortical mantle of…

Person re-identification aims at matching pedestrians observed from non-overlapping camera views. Feature descriptor and metric learning are two significant problems in person re-identification. A discriminative metric learning method…

计算机视觉与模式识别 · 计算机科学 2015-11-18 Siyuan Huang , Jiwen Lu , Jie Zhou , Anil K. Jain

In this paper, we propose a way to improve the compression based dissimilarity measure, CDM. We propose to use a modified value of the file size, where the original CDM uses an unmodified file size. Our application is a music score…

声音 · 计算机科学 2017-10-05 Ayaka Takamoto , Mayu Umemura , Mitsuo Yoshida , Kyoji Umemura

When considering person re-identification (re-ID) as a retrieval process, re-ranking is a critical step to improve its accuracy. Yet in the re-ID community, limited effort has been devoted to re-ranking, especially those fully automatic,…

计算机视觉与模式识别 · 计算机科学 2017-05-08 Zhun Zhong , Liang Zheng , Donglin Cao , Shaozi Li

An average healthy person does not perceive the world in just black and white. Moreover, the perceived world is not composed of pixels and through vision humans perceive structures. However, the acquisition and display systems discretize…

图像与视频处理 · 电气工程与系统科学 2018-11-26 Dogancan Temel , Ghassan AlRegib

We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that two histograms are drawn from the same distribution). The…

数据分析、统计与概率 · 物理学 2013-05-22 Sergey Bityukov , Nikolai Krasnikov , Alexander Nikitenko , Vera Smirnova

This article proposes a new method to estimate an existing mutual information based dependence measure using histogram density estimates. Finding a suitable bin length for histogram is an open problem. We propose a new way of computing the…

信息论 · 计算机科学 2015-09-15 Namita Jain , C. A. Murthy

This chapter approaches the image retrieval system on the base of the colors of image. It creates fuzzy signature to describe the color of image on color space HSV and builds fuzzy Hamming distance (FHD) to evaluate the similarity between…

计算机视觉与模式识别 · 计算机科学 2015-06-04 Thanh The Van , Thanh Manh Le

Distance metric learning is a successful way to enhance the performance of the nearest neighbor classifier. In most cases, however, the distribution of data does not obey a regular form and may change in different parts of the feature…

计算机视觉与模式识别 · 计算机科学 2018-03-19 Hossein Rajabzadeh , Mansoor Zolghadri Jahromi , Mohammad Sadegh Zare , Mostafa Fakhrahmad

Given a set D of positive integers, the associated distance graph on the integers is the graph with the integers as vertices and an edge between distinct vertices if their difference lies in D. We investigate the chromatic numbers of…

组合数学 · 数学 2007-05-23 Glenn G. Chappell

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

统计方法学 · 统计学 2016-01-20 Julian Faraway

Providing various machine learning (ML) applications in the real world, concerns about discrimination hidden in ML models are growing, particularly in high-stakes domains. Existing techniques for assessing the discrimination level of ML…

机器学习 · 计算机科学 2024-05-16 Yijun Bian , Yujie Luo

The need for appropriate ways to measure the distance or similarity between data is ubiquitous in machine learning, pattern recognition and data mining, but handcrafting such good metrics for specific problems is generally difficult. This…

机器学习 · 计算机科学 2019-01-25 Aurélien Bellet , Amaury Habrard , Marc Sebban

Despite the remarkable recent progress, person re-identification (Re-ID) approaches are still suffering from the failure cases where the discriminative body parts are missing. To mitigate such cases, we propose a simple yet effective…

计算机视觉与模式识别 · 计算机科学 2018-11-13 Yang Fu , Yunchao Wei , Yuqian Zhou , Honghui Shi , Gao Huang , Xinchao Wang , Zhiqiang Yao , Thomas Huang

In this paper, a novel statistical metric learning is developed for spectral-spatial classification of the hyperspectral image. First, the standard variance of the samples of each class in each batch is used to decrease the intra-class…

计算机视觉与模式识别 · 计算机科学 2019-05-14 Zhiqiang Gong , Ping Zhong , Weidong Hu , Zixuan Xiao , Xuping Yin