• Title/Summary/Keyword: Mahalanobis

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Target identification for visual tracking

  • Lee, Joon-Woong;Yun, Joo-Seop;Kweon, In-So
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.145-148
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    • 1996
  • In moving object tracking based on the visual sensory feedback, a prerequisite is to determine which feature or which object is to be tracked and then the feature or the object identification precedes the tracking. In this paper, we focus on the object identification not image feature identification. The target identification is realized by finding out corresponding line segments to the hypothesized model segments of the target. The key idea is the combination of the Mahalanobis distance with the geometrica relationship between model segments and extracted line segments. We demonstrate the robustness and feasibility of the proposed target identification algorithm by a moving vehicle identification and tracking in the video traffic surveillance system over images of a road scene.

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Pattern Recognition with Rotation Invariant Multiresolution Features

  • Rodtook, S.;Makhanov, S.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1057-1060
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    • 2004
  • We propose new rotation moment invariants based on multiresolution filter bank techniques. The multiresolution pyramid motivates our simple but efficient feature selection procedure based on the fuzzy C-mean clustering, combined with the Mahalanobis distance. The procedure verifies an impact of random noise as well as an interesting and less known impact of noise due to spatial transformations. The recognition accuracy of the proposed techniques has been tested with the preceding moment invariants as well as with some wavelet based schemes. The numerical experiments, with more than 30,000 images, demonstrate a tangible accuracy increase of about 3% for low noise, 8% for the average noise and 15% for high level noise.

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A Simplification of Polynomial Representations for the Moments of the Mahalanobis Distances (마할라노비스 거리의 모멘트에 대한 다정식 표현의 간략화)

  • 김수중;홍재근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.3
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    • pp.1-5
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    • 1984
  • It is investigated that Mahalanobis distances are invariant under a proper transformation and interest MDs are distributed as non-central chi-square while it is well known that intraset MDs are distributed as central chi-square. And their moments have been expressed as simple polynomials whose coefficients satisfy straightforward recursive relations.

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Data Clustering Method Using a Modified Gaussian Kernel Metric and Kernel PCA

  • Lee, Hansung;Yoo, Jang-Hee;Park, Daihee
    • ETRI Journal
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    • v.36 no.3
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    • pp.333-342
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    • 2014
  • Most hyper-ellipsoidal clustering (HEC) approaches use the Mahalanobis distance as a distance metric. It has been proven that HEC, under this condition, cannot be realized since the cost function of partitional clustering is a constant. We demonstrate that HEC with a modified Gaussian kernel metric can be interpreted as a problem of finding condensed ellipsoidal clusters (with respect to the volumes and densities of the clusters) and propose a practical HEC algorithm that is able to efficiently handle clusters that are ellipsoidal in shape and that are of different size and density. We then try to refine the HEC algorithm by utilizing ellipsoids defined on the kernel feature space to deal with more complex-shaped clusters. The proposed methods lead to a significant improvement in the clustering results over K-means algorithm, fuzzy C-means algorithm, GMM-EM algorithm, and HEC algorithm based on minimum-volume ellipsoids using Mahalanobis distance.

A Fault Diagnosis on the Rotating Machinery Using MTS (MTS 기법을 이용한 회전기기의 이상진단)

  • Park, Won-Sik;Lee, Hae-Jin;Lee, Jeong-Yun;Kim, Dong-Seop;O, Jae-Eung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.770-773
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    • 2007
  • As higher reliability and accuracy on production facilities are required to detect incipient faults, a diagnostic system for predictive maintenance of the facility is highly recommended. In this paper, it presents a study on the application of vibration signals to diagnose faults for a Rotating Machinery using the Mahalanobis Distance-Taguchi System. RMS, Crest Factor and Kurtosis that is known as the Statistical Methods and the spectrum analysis are used to diagnose faults as parameters of Mahalanobis distance.

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Robust Design of Credit Scoring System by the Mahalanobis-Taguchi System

  • Su, Chao-Ton;Wang, Huei-Chun
    • International Journal of Quality Innovation
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    • v.5 no.2
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    • pp.1-16
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    • 2004
  • Credit scoring is widely used to make credit decisions, to reduce the cost of credit analysis and enable faster decisions. However, traditional credit scoring models do not account for the influence of noises. This study proposes a robust credit scoring system based on Mahalanobis-Taguchi System (MTS). The MTS, primary proposed by Taguchi, is a diagnostic and forecasting method using multivariate data. The proposed approach's effectiveness is demonstrated by using real case data from a large Taiwanese bank. The results reveal that the robust credit scoring system can be successfully implemented using MTS technique.

A Rao-Robson Chi-Square Test for Multivariate Normality Based on the Mahalanobis Distances

  • Park, Cheolyong
    • Communications for Statistical Applications and Methods
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    • v.7 no.2
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    • pp.385-392
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    • 2000
  • Many tests for multivariate normality are based on the spherical coordinates of the scaled residuals of multivariate observations. Moore and Stubblebine's (1981) Pearson chi-square test is based on the radii of the scaled residuals, or equivalently the sample Mahalanobis distances of the observations from the sample mean vector. The chi-square statistic does not have a limiting chi-square distribution since the unknown parameters are estimated from ungrouped data. We will derive a simple closed form of the Rao-Robson chi-square test statistic and provide a self-contained proof that it has a limiting chi-square distribution. We then provide an illustrative example of application to a real data with a simulation study to show the accuracy in finite sample of the limiting distribution.

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Anomaly Detection in Medical Wireless Sensor Networks

  • Salem, Osman;Liu, Yaning;Mehaoua, Ahmed
    • Journal of Computing Science and Engineering
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    • v.7 no.4
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    • pp.272-284
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    • 2013
  • In this paper, we propose a new framework for anomaly detection in medical wireless sensor networks, which are used for remote monitoring of patient vital signs. The proposed framework performs sequential data analysis on a mini gateway used as a base station to detect abnormal changes and to cope with unreliable measurements in collected data without prior knowledge of anomalous events or normal data patterns. The proposed approach is based on the Mahalanobis distance for spatial analysis, and a kernel density estimator for the identification of abnormal temporal patterns. Our main objective is to distinguish between faulty measurements and clinical emergencies in order to reduce false alarms triggered by faulty measurements or ill-behaved sensors. Our experimental results on both real and synthetic medical datasets show that the proposed approach can achieve good detection accuracy with a low false alarm rate (less than 5.5%).

A Study on the Hybrid-Pattern Recognition System using Projection of 2-D Image (2차원 영상의 투영을 이용한 복합패턴인식시스템에 관한 연구)

  • 반재경;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.6
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    • pp.421-429
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    • 1986
  • In this paper, new hybrid-pattern recognition system is proposed using Radon transform. Transforming the 2-D image into the 1-D projection data, Fourier spectrum at each projection angle is obtained by the Fourier transforming the projection data using the A/0. After extracting the suitable features from the Fourier spectrum and projection data, the input pattern is recognized using the wquared Mahalanobis distance. The results of this system showed the 100% recognition rate for the 10 input patterns.

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A Fault Diagnosis on the Rotating Machinery Using MTS (MTS 기법을 이용한 회전기기의 이상진단)

  • Park, Sang-Gil;Park, Won-Sik;Lee, You-Yub;Kim, Dong-Sub;Oh, Jae-Eung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.6
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    • pp.619-623
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    • 2008
  • As higher reliability and accuracy on production facilities are required to detect incipient faults, a diagnostic system for predictive maintenance of the facility is highly recommended. In this paper, it presents a study on the application of vibration signals to diagnose faults for a rotating machinery using the Mahalanobis distance-Taguchi system. RMS, crest factor and Kurtosis that is known as the statistical methods and the spectrum analysis are used to diagnose faults as parameters of Mahalanobis distance.