• Title/Summary/Keyword: loss function

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A Modification of the Combined Estimator of Inter- and Intra-Block Estimators under an Arbitrary Convex Loss Function

  • Lee, Young-Jo
    • Journal of the Korean Statistical Society
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    • v.16 no.1
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    • pp.21-25
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    • 1987
  • The combined estimator of inter- and intra-block estimators in incomplete block designs can be expressed as a weighted average of two location estimators. The weight should be between 0 and 1. However, the negative variance component estimate could result in the weight being negative or larger than 1. In this paper, we show that if two location estimators have symmetric unimodal distributions, truncating the weight to 0 or 1 accordingly improves the combined estimator under an arbitrary convex loss function.

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A study on the active sonar reverberation suppression method based on non-negative matrix factorization with beta-divergence function (베타-발산 함수를 활용한 비음수 행렬 분해 기반의 능동 소나 잔향 제거 기법에 대한 연구)

  • Seokjin Lee;Geunhwan Kim
    • The Journal of the Acoustical Society of Korea
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    • v.43 no.4
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    • pp.369-382
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    • 2024
  • To suppress the reverberation in the active sonar system, the non-negative matrix factorization-based reverberation suppression methods have been researched recently. An estimation loss function, which makes the multiplication of basis matrices same as the input signals, has to be considered to design the non-negative matrix factorization methods, but the conventional method simply chooses the Kullback-Leibler divergence asthe lossfunction without any considerations. In this paper, we examined that the Kullback-Leibler divergence is the best lossfunction or there isthe other loss function enhancing the performance. First, we derived a modified reverberation suppression algorithm using the generalized beta-divergence function, which includes the Kullback-Leibler divergence. Then, we performed Monte-Carlo simulations using synthesized reverberation for the modified reverberation suppression method. The results showed that the Kullback-Leibler divergence function (β = 1) has good performances in the high signal-to-reverberation environments, but the intermediate function (β = 1.25) between Kullback-Leibler divergence and Euclidean distance has better performance in the low signal-to-reverberation environments.

The Estimation Method Comparison of Iron Loss Coefficients through the Iron Loss Calculation

  • Kim, Yong-Tae;Cho, Gyu-Won;Kim, Gyu-Tak
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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    • pp.1409-1414
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    • 2013
  • A new calculation method for iron loss coefficients is proposed by using the Steinmetz equation from Epstein data. The hysteresis loss must have linear characteristic according to the frequency. However, the existing iron loss coefficients are defined by formula of frequency. In this case, the hysteresis loss has non-linear characteristics by frequency. So, in this paper, the iron loss coefficients were defined by a function of the magnetic flux density, and the iron loss calculation is applied for Interior Permanent Magnet Synchronous Motor(IPMSM) of 600(W) and 200(W). The iron loss calculation results and the experimental results are compared according to the various materials.

Influence of Internal Partition of Simple Extension Chamber on the Acoustic Transmission Loss (단순 확장 관 내부 파티션이 음향 투과손실에 미치는 영향해석)

  • Park, Jeong-Pil;Jeong, Weui-Bong;Ahn, Se-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.690-692
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    • 2014
  • To identify characterization of a simple extension chamber that have the two internal partition, produce the curve to estimate the transmission loss without the computer analysis. For helpful for internal optimum design, identify the characteristic of internal partition on transmission loss. Made estimated transmission loss curve by function of relationship of internal partition and transmission. Check the similarity of predicted transmission loss and analysis transmission loss. Usage of the predicted transmission loss made by relationship of internal partition and transmission loss is good information to place the internal partition so as to maximize the transmission loss on target frequency at optimal design on muffler.

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$MAP1, MAP2/G/1 FINITE QUEUES WITH SERVICE SCHEDULING FUNCTION DEPENDENT UPON QUEUE LENGTHS

  • Choi, Doo-Il;Lee, Sang-Min
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.673-689
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    • 2009
  • We analyze $MAP_1,\;MAP_2$/G/1 finite queues with service scheduling function dependent upon queue lengths. The customers are classified into two types. The arrivals of customers are assumed to be the Markovian Arrival Processes (MAPs). The service order of customers in each buffer is determined by a service scheduling function dependent upon queue lengths. Methods of embedded Markov chain and supplementary variable give us information for queue length of two buffers. Finally, the performance measures such as loss probability and mean waiting time are derived. Some numerical examples also are given with applications in telecommunication networks.

Design Of Air-Distribution System in a Duct (취출구를 가진 덕트의 공기분배장치 설계)

  • Kang, Hyung-Seon;Cho, Byung-Ki;Koh, Young-Ha
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.8
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    • pp.954-960
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    • 2007
  • The purpose of this paper is to obtain design method of air-distribution system. Air-distribution system is composed of blower, duct, diffusers and measuring equipment. The air-flow rate from each diffuser is not equal. The air-flow rate is calculated with the combined equations which are Bernoulli's equation, continuity equation and minor loss equations. Inlet condition and outlet condition are adapted in each duct system. Then square difference between function of maximum air-flow rate and minimum air-flow rate is used as an object function. Area of diffuser and velocity are established as constraints. To minimize the object function, the optimization method is used. After optimization the design variables are selected under satisfaction of constraints. The air-distribution system is calculated again with the result of optimized design variable. It is shown that the air-distribution system has the equal air-flow rate from diffusers.

Analysis of Acoustical Performance of Exhaust System by Lattice Filter (격자필터에 의한 배기계의 소음특성 해석)

  • Hwang, Won-Gul
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.126-135
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    • 1995
  • An exhaust muffler is one of the simple and effective means to meet the demand for a quiet vehicle, and it deserves a close attention to effectively reduce the engine noise. The transfer function technique is one of the tools that have been used to analyze the noise characteristics of the exhaust muffler. In this paper we obtained a transfer function using the forward-going and backward-going components of sound pressure in the exhaust muffler, which is compatible wiht lattice filter algorithm. This form of transfer function is obtained for the basic elements of a muffler, such as uniform tube, open termin- ation, closed termination, anechoic termination, expansion, contraction, extended-tube resonator, hole, Helmholtz resonator, and concentric hole-cavity resonator. The results are combined to produce the transfer function of various types of mufflers. With this transfer function we calculate the transmission and insertion losses of mufflers, and examined the effects of various design parameters. Comparisons were made between the calculation and experimental results, which showed a good agreement, and we conclude that the transfer function of lattice form can be used to analyze the noise characteristics of the exhaust mufflers.

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On loss functions for model selection in wavelet based Bayesian method

  • Park, Chun-Gun
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1191-1197
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    • 2009
  • Most Bayesian approaches to model selection of wavelet analysis have drawbacks that computational cost is expensive to obtain accuracy for the fitted unknown function. To overcome the drawback, this article introduces loss functions which are criteria for level dependent threshold selection in wavelet based Bayesian methods with arbitrary size and regular design points. We demonstrate the utility of these criteria by four test functions and real data.

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ASYMPTOTIC ANALYSIS OF THE LOSS PROBABILITY IN THE GI/PH/1/K QUEUE

  • Kim Jeong-Sim
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.273-283
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    • 2006
  • We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

OPTIMZATION OF A PIN FIN BASED ON THE INCREASING RATE OF HEAT LOSS

  • Kang, Hyung-Suk
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.1
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    • pp.25-32
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    • 2008
  • A pin fin is optimized based on the increasing rate of heat loss by using a two-dimensional analytic method. The optimum heat loss, corresponding optimum thermal resistance and fin length are presented as a function of the fin base thickness, convection characteristic numbers ratio, fin outer radius and ambient convection characteristic number. One of the results shows that both the optimum heat loss and fin length decrease linearly whereas the optimum thermal resistance increases very slightly with increase of the fin base thickness.

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