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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…

Algebraic Topology · Mathematics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Statistics 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…

Machine Learning · Computer Science 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…

Applications · Statistics 2013-01-22 E. Ceyhan , T. Nishino , J. Alexopolous , R. D. Todd , K. N. Botteron , M. I. Miller , J. T. Ratnanather

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…

Computer Vision and Pattern Recognition · Computer Science 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…

Sound · Computer Science 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,…

Computer Vision and Pattern Recognition · Computer Science 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…

Image and Video Processing · Electrical Eng. & Systems 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…

Data Analysis, Statistics and Probability · Physics 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…

Information Theory · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Combinatorics · Mathematics 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…

Methodology · Statistics 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Zhiqiang Gong , Ping Zhong , Weidong Hu , Zixuan Xiao , Xuping Yin