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The problem of filtering information from large correlation matrices is of great importance in many applications. We have recently proposed the use of the Kullback-Leibler distance to measure the performance of filtering algorithms in…

数据分析、统计与概率 · 物理学 2008-12-02 M. Tumminello , F. Lillo , R. N. Mantegna

This work briefly explores the possibility of approximating spatial distance (alternatively, similarity) between data points using the Isolation Forest method envisioned for outlier detection. The logic is similar to that of isolation: the…

机器学习 · 统计学 2019-11-26 David Cortes

Different distance measures have been used for efficiently predicting software faults at early stages of software development. One stereotyped approach for software fault prediction due to its computational efficiency is K-means clustering,…

软件工程 · 计算机科学 2014-12-01 Deepinder Kaur

We show that the Kullback-Leibler distance is a good measure of the statistical uncertainty of correlation matrices estimated by using a finite set of data. For correlation matrices of multivariate Gaussian variables we analytically…

数据分析、统计与概率 · 物理学 2008-12-02 Michele Tumminello , Fabrizio Lillo , Rosario Nunzio Mantegna

Tree structures appear in many fields of the life sciences, including phylogenetics, developmental biology and nucleic acid structures. Trees can be used to represent RNA secondary structures, which directly relate to the function of…

机器学习 · 计算机科学 2026-01-22 Pengyu Liu , Mariel Vázquez , Nataša Jonoska

Color based re-identification methods usually rely on a distance function to measure the similarity between individuals. In this paper we study the behavior of several histogram distance measures in different color spaces. We wonder whether…

计算机视觉与模式识别 · 计算机科学 2016-11-29 Pedro A. Marín-Reyes , Javier Lorenzo-Navarro , Modesto Castrillón-Santana

Vine copulas are a useful statistical tool to describe the dependence structure between several random variables, especially when the number of variables is very large. When modeling data with vine copulas, one often is confronted with a…

统计方法学 · 统计学 2017-05-10 Matthias Killiches , Daniel Kraus , Claudia Czado

Vine copulas are a flexible class of dependence models consisting of bivariate building blocks and have proven to be particularly useful in high dimensions. Classical model distance measures require multivariate integration and thus suffer…

统计方法学 · 统计学 2016-04-22 Matthias Killiches , Daniel Kraus , Claudia Czado

Divergence functions are interesting discrepancy measures. Even though they are not true distances, we can use them to measure how separated two points are. Curiously enough, when they are applied to random variables, they lead to a notion…

统计理论 · 数学 2018-09-21 Henryk Gzyl

Shape is an important aspects in recognizing plants. Several approaches have been introduced to identify objects, including plants. Combination of geometric features such as aspect ratio, compactness, and dispersion, or moments such as…

计算机视觉与模式识别 · 计算机科学 2011-10-10 A. Kadir , L. E. Nugroho , A. Susanto , P. I. Santosa

Distance measures have been recognized as one of the fundamental building blocks in time-series analysis tasks, e.g., querying, indexing, classification, clustering, anomaly detection, and similarity search. The vast proliferation of…

数据库 · 计算机科学 2024-12-31 John Paparrizos , Haojun Li , Fan Yang , Kaize Wu , Jens E. d'Hondt , Odysseas Papapetrou

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

Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distances rather than their actual values. Lower and upper bounds for…

组合数学 · 数学 2007-05-23 Jobst Heitzig

Graphs are interesting structures: extremely useful to depict real-life problems, extremely easy to understand given a sketch, extremely complicated to represent formally, extremely complicated to compare. Phylogeny is the study of the…

数据结构与算法 · 计算机科学 2019-01-18 Bernardo Lopo Tavares

This paper addresses to the problem of finding the (minimum) Euclidean distance between two linear varieties. This problem is, usually, solved minimising a target function. We propose a novel approach: to use the Moore-Penrose generalised…

度量几何 · 数学 2016-11-25 M. A. Facas Vicente , Armando Gonçalves , José Vitória

Although recovering an Euclidean distance matrix from noisy observations is a common problem in practice, how well this could be done remains largely unknown. To fill in this void, we study a simple distance matrix estimate based upon the…

机器学习 · 统计学 2014-09-18 Luwan Zhang , Grace Wahba , Ming Yuan

Given a set of sequences, the distance between pairs of them helps us to find their similarity and derive structural relationship amongst them. For genomic sequences such measures make it possible to construct the evolution tree of…

信息论 · 计算机科学 2012-08-29 Sandeep Hosangadi

Reduced ordering based vector filters have proved successful in removing long-tailed noise from color images while preserving edges and fine image details. These filters commonly utilize variants of the Minkowski distance to order the color…

计算机视觉与模式识别 · 计算机科学 2010-09-07 M. Emre Celebi

The contributions of the paper span theoretical and implementational results. First, we prove that Kd-trees can be extended to spaces in which the distance is measured with an arbitrary Bregman divergence. Perhaps surprisingly, this shows…

计算几何 · 计算机科学 2025-02-20 Tuyen Pham , Hubert Wagner

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

机器学习 · 计算机科学 2022-06-13 Yiqun Zhang , Houbiao Li
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