• Journal of the Korean Statistical Society
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• 제27권1호
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• pp.113-132
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• 1998

In this paper, we consider a minimum distance (M.D.) estimation based on kernels for U-statistics. We use Cramer-von Mises type distance function which measures the discrepancy between U-empirical distribution function(d.f.) and modeled d.f. of kernel. In the distance function, we allow various integrating measures, which can be finite, $\sigma$-finite or discrete. Then we derive the asymptotic normality and study the qualitative robustness of M. D. estimates.

• Journal of Information Processing Systems
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• 제2권1호
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• pp.44-47
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• 2006

One of the critical issues in a sensor network concerns the detection of changes in data streams. Recently presented change detection schemes primarily use a sliding window model to detect changes. In such a model, a distance function is used to compare two sliding windows. Therefore, the performance of the change detection scheme is greatly influenced by the distance function. With regard to sensor nodes, however, energy consumption constitutes a critical design concern because the change detection scheme is implemented in a sensor node, which is a small battery-powered device. In this paper, we present a comparative study of various distance functions in terms of execution time, energy consumption, and detecting accuracy through simulation of speech signal data. The simulation result demonstrates that the Euclidean distance function has the highest performance while consuming a low amount of power. We believe our work is the first attempt to undertake a comparative study of distance functions in terms of execution time, energy consumption, and accuracy detection.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제9권1호
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• pp.4-9
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• 2009

Fuzzy entropy is designed for non convex fuzzy membership function using well known Hamming distance measure. Design procedure of convex fuzzy membership function is represented through distance measure, furthermore characteristic analysis for non convex function are also illustrated. Proof of proposed fuzzy entropy is discussed, and entropy computation is illustrated.

• 한국운동역학회지
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• 제22권1호
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• pp.9-16
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• 2012

The purpose of this study was to compare and analyze muscle function and EMG of the trunk and the lower extremity in short and long distance athletes and in order to determine difference in peak torque per unit weight, muscle power per unit weight, endurance ratio, and %MVIC classified by muscle. For that purpose, isokinetic muscle function tests for waist, knee, and ankle joints and EMG measurements for the trunk and the lower extremity muscle with running motion were conducted for 7 short and long distance high school athletes respectively. The study over muscle function of waist, knee, and ankle joints indicates that peak torque per unit weight of short distance athletes is higher than that of long distance athletes in extension and flexion of waist joint, plantar flexion of right ankle joint, and dorsi flexion of left ankle joint. In case of the muscle power per unit weight of short distance athletes is also higher than long distance athletes in waist, knee, and ankle joints. No difference in endurance ratio of waist, knee, and ankle joints between the two groups was founded. The results of the test over EMG of the trunk and the lower extremity show that %MVIC of erector spinae, rectus femoris, vastus medialis, vastus lateralis, and tibialis anterior is higher than that of long distance athletes in support phase. The above results proved to be the same in flight phase except for %MVIC of medial gastrocnemius. In other words, %MVIC of medial gastrocnemius for short distance athletes turned out to be higher than that of long distance athletes in flight phase.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.1427-1430
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• 2005

In this paper, the range finder system using a PSD sensor suitable for low-cost localization sensor of a mobile robot. Because the distance-voltage output of a PSD sensor has a non-linear property, the linearizing function is proposed through the experimental characteristics of the sensor. And the characteristics are tested and the distance-voltage data are measured in various colors and materials of object. For a known environment, a mobile robot scans the surroundings using a PSD sensor that can rotate $360^{\circ}$. Finally, the performance and accuracy of the developed system are verified according to the comparison the distance by proposed function with real distance

• 한국생산제조학회지
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• 제7권1호
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• pp.9-21
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• 1998

This paper a new solution approach to moving obstacle avoidance problem of a mobile robot. A new concept avoidability measure (AVM) is defined to describe the state of a pair of a robot and an obstacle regarding the collision between them. As an AVM, virtual distance function (VDF), is derived as a function of the distance from the obstacle to the robot and outward speed of the obstacle relative to the robot. By keeping the virtual distance above some positive limit value, the robot avoids the obstacle. In terms of the VDF ,an artificial potential field is constructed to repel the robot away from the obstacle and to attract the robot toward a goal location. At every sampling time, the artificial potential field is updated and the force driving the robot is derived from the gradient of the artificial potential field. The suggested algorithm drives the robot to avoid moving obstacles in real time. Since the algorithm considers the mobility of the obstacle as well as the distance, it is effective for moving obstacle avoidance. Some simulation studies show the effectiveness of the proposed approach.

• Journal of the Korean Statistical Society
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• 제27권4호
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• pp.507-514
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• 1998

The minimum distance estimation based on the L$_2$ distance between a model density and a density estimator is studied from M-estimation point of view. We will show that how a model density and a density estimator are incorporated in order to create an M-estimation function. This method enables us to create an M-estimating function reflecting the natures of both an assumed model density and a given set of data. Some new types of M-estimation functions for estimating a location and scale parameters are introduced.

• 한국지능시스템학회:학술대회논문집
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• 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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• pp.199-202
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• 2007

The similarity measure is constructed for non-convex fuzzy membership function using well known Hamming distance measure. Comparison with convex fuzzy membership function is carried out, furthermore characteristic analysis for non-convex function are also illustrated. Proposed similarity measure is proved and the usefulness is verified through example. In example, usefulness of proposed similarity is pointed out.

• 정보처리학회논문지D
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• 제18D권5호
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• pp.323-328
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• 2011

정확한 내용 기반 이미지 검색을 위하여 Earth mover's distance와 Optimal color composition distance와 같은 거리함수들이 제안되었다. 이 거리함수들은 정확도가 높은 검색 결과를 가져오지만 검색 시간이 매우 크기 때문에 대용량 데이터베이스에서 사용하기 어렵다는 문제점을 가지고 있다. 본 논문에서는 이러한 문제를 해결하기 위하여 선형 시간에 근사 Earth mover's distance를 구하기 위한 새로운 거리 함수를 제안한다. 제안하는 방법은 선형 시간에 두 이미지의 거리를 계산하기 위하여 공간 채움 곡선을 이용한다. 다양한 실험을 통하여 본 논문에서 제안하는 방법의 우수성을 검증한다. 실험 결과, 제안하는 기법이 Earth mover's distance에 비해 약 160배 정도의 검색 속도 향상 효과를 보이면서도 매우 유사한 결과를 검색하는 것으로 나타났다.

• 대한수학교육학회지:학교수학
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• 제19권4호
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• pp.639-661
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• 2017

본 연구는 미분계수를 절차적 지식(거리함수 f(x)에서 a초에서 k초까지의 평균속력을 식으로 구성하여, 분모에 있는 인수를 약분한 다음 a에 k를 대입하여 속력함수를 구하는 방식)으로 구성한 고등학교 1학년 학생 세 명과의 교수실험 내용을 분석한 연구이다. 특히 본 연구에서는 분모에 있는 인수가 약분되기 어려운 거리함수(무리함수, 지수함수)에서 속력함수를 구성하는 과정을 중심으로 학생들이 구성한 절차적 지식에 대하여 학생 스스로의 고민과 표현이 어떠한지를 중심으로 분석하였다. 이 과정에서 학생들은 최초 구성한 절차적 지식에 대하여 다양한 고민과 표현의 변화를 보여주었다. 특히 학생B는 이 과정에서 기존에 자신이 알고 있는 지식을 모두 설명하지 못할 경우 자신이 구성한 미분계수를 구하는 절차에 대하여 고민하고 반성하는 모습을 보여주었다. 본 연구는 미분계수 학습에서 학생들의 계산 방식에 대한 이해를 더해주고, 미분계수를 구할 때 절차적 지식을 구성한 학생들에게 어떻게 자신들이 구성한 절차에 대하여 반성할 수 있는 기회를 제공할 것인지에 대하여 고민하였다는 점에서 의미를 갖는다.