• The Korean Journal of Applied Statistics
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• v.14 no.2
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• pp.357-367
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• 2001

Huber의 M-추정함수의 형태는 조율상수가 주어질 때 비로소 그 형태가 결정된다. 조율상수를 커널밀도함수추정량의 평활계수를 이용하여 구하여 보았고, 모의실험을 통해 기존에 상요되는 조율상수들과 그 성능을 비교하여 보았다. 그 결과 새로운 방법에 의해 구해진 조율상수가 기존의 조율상수를 사용하는 경우 보다 모의실험을 통해 얻은 추정치의 분산이 작게되는 경우가 있음을 알았다.

• Communications for Statistical Applications and Methods
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• v.15 no.4
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• pp.543-549
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• 2008

Inspired by using a robust loss function in the support vector machine regression to control training error and the idea of robust template matching with M-estimator, Chen (2004) applies M-estimator techniques to gaussian radial basis functions and form a new class of robust kernels for the support vector machines. We are specially interested in the shape of the Huber's M-estimator in this context and propose a way to find the shape parameter of the Huber's M-estimating function. For simplicity, only the two-class classification problem is considered.

• Proceedings of the Korean Statistical Society Conference
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• 2005.05a
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• pp.109-112
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• 2005

The robust quasi-likelihood (RQL) proposed by Cantoni & Ronchetti (2001) is a robust version of quasi-likelihood. They adopted Huber function to increase the resistance of the RQL estimator to the outliers. They considered the Huber function only of symmetric type. We extend the class of Huber function to include asymmetric types, and derived a method to find the optimal asymmetric one.

• International Journal of Computer Science & Network Security
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• v.22 no.7
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• pp.301-307
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• 2022

Energy consumption has grown alongside dramatic population increases. Statistics show that buildings in particular utilize a significant amount of energy, worldwide. Because of this, building energy prediction is crucial to best optimize utilities' energy plans and also create a predictive model for consumers. To improve energy prediction performance, this paper proposes a ResNet-LSTM model that combines residual networks (ResNets) and long short-term memory (LSTM) for energy consumption prediction. ResNets are utilized to extract complex and rich features, while LSTM has the ability to learn temporal correlation; the dense layer is used as a regression to forecast energy consumption. To make our model more robust, we employed Huber loss during the optimization process. Huber loss obtains high efficiency by handling minor errors quadratically. It also takes the absolute error for large errors to increase robustness. This makes our model less sensitive to outlier data. Our proposed system was trained on historical data to forecast energy consumption for different time series. To evaluate our proposed model, we compared our model's performance with several popular machine learning and deep learning methods such as linear regression, neural networks, decision tree, and convolutional neural networks, etc. The results show that our proposed model predicted energy consumption most accurately.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.46 no.5
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• pp.39-48
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• 2009

Many super-resolution reconstruction algorithms have been proposed since it was the first proposed in 1984. The spatial domain approach of the super-resolution reconstruction methods is accomplished by mapping the low resolution image pixels into the high resolution image pixels. Generally, a super-resolution reconstruction algorithm by using the spatial domain approach has the noise problem because the low resolution images have different noise component, different PSF, and distortion, etc. In this paper, we proposed the new super-resolution reconstruction method that uses the L1 norm to minimize noise source and also uses the Huber norm to preserve edges of image. The proposed algorithm obtained the higher image quality of the result high resolution image comparing with other algorithms by experiment.

• Journal of the Korean Society of Physical Medicine
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• v.15 no.4
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• pp.145-153
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• 2020

PURPOSE: This study compares the effects of HUBER rehabilitation and general rehabilitation treatment on the coordination, balance, and walking ability of stroke patients. METHODS: This study enrolled 38 randomized stroke patients, and data was collected for 6 weeks. All participants were randomly assigned to either the experimental group (n = 19) or control group (n = 19). The experimental group were administered Huber rehabilitation and general rehabilitation treatment. The control group was given only general rehabilitation treatment. Both treatments were conducted for 30 minutes during each training session, 3 training sessions per week, for 6 weeks. The coordination, balance, and walking ability were evaluated before and after the intervention, to compare the intergroup and intragroup changes. RESULTS: Change in the right LOS (limit of stability) (p < .001) and forward LOS (p < .02) following intervention were significantly greater in the experimental group than in the control group, but no significant group difference was observed between left LOS (p > .1) and backward LOS (p > .2). Alterations in coordination (p < .02) and TUG (p <. 05) were significantly greater after intervention in the experimental group than in the control group. CONCLUSION: These findings suggest that HUBER rehabilitation is effective in improving the coordination, balance, and walking ability in stroke patients. To strengthen and validate the results of this study, future studies related to HUBER rehabilitation are required.

• Communications for Statistical Applications and Methods
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• v.31 no.3
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• pp.291-308
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• 2024

The current article discusses ratio type exponential estimators for estimating the mean of a finite population in sample surveys. The estimators uses robust regression's Huber M-estimation function, and their bias as well as mean squared error expressions are derived. It was campared with Kadilar, Candan, and Cingi (Hacet J Math Stat, 36, 181-188, 2007) estimators. The circumstances under which the suggested estimators perform better than competing estimators are discussed. Five different population datasets with a well recognized outlier have been widely used in numerical and simulation-based research. These thorough studies seek to provide strong proof to back up our claims by carefully assessing and validating the theoretical results reported in our study. The estimators that have been proposed are intended to significantly improve both the efficiency and accuracy of estimating the mean of a finite population. As a result, the results that are obtained from statistical analyses will be more reliable and precise.

• Journal of the Korean Data and Information Science Society
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• v.11 no.2
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• pp.181-188
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• 2000

The shape of an M-estimation function is generally determined in the sense of either/both maximizing efficiency of an M-estimator at the model or/and bounding the influence function of an M-estimator. We propose an empirical method of choosing a value of the bending constant in Huber's ${\psi}-function$, which is the most widely used M-estimation function when estimating the location parameter.

• Journal of Korean Society of Forest Science
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• v.88 no.3
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• pp.292-298
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• 1999

Huber value and leaf specific conductivity were investigated for determining the hydraulic conductance of six deciduous hardwood species subjected to five levels of artificial shade treatments. Huber values measured in full sun were in the ranges of $1.5{\sim}9.1mm^2/dm^2$, $1.3{\sim}2.6mm^2/dm^2$, $1.5{\sim}5.3mm^2/dm^2$ in June, July, and September, respectively in the first year. The values generally decreased with increasing the shading in most of the species studied. Because of early defoliation in September, most of the values measured were also higher in September than in July. Huber values were quite different between those of the first year and those of the second year in most of the species studied, but the seasonal variation of Huber values and shading effects to the values seemed to be similar between the first and the second years. The values of leaf specific conductivity(LSC) measured in Betula platyphylla var. japonica. B. schmidtii, Zelkova serrata, Acer mono for 2 years were in the range of $4.0{\sim}80.0{\mu}{\ell}/dm^2$ by season and by shading treatment. But in Ligustrum obtusifolium and Prunus sargentii, the values were in the ranges of $4.0{\sim}280.0{\mu}{\ell}/dm^2$ and $8.0{\sim}120{\mu}{\ell}/dm^2$, respectively with having quite different values compared with those of the above species. Seasonal variation of LSC values was more or less irregular by species and by treatment year, but the LSC values of B. platyphylla vac. japonica, B. schmidtii, and P. sargentii in the first year and also those of Z. serrata and P. sargentii in the second year were mostly higher in September than in July. The LSC values seemed to be generally decreased with increasing the artificial shading in all of the species studied.

• Journal of Korean Society of Forest Science
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• v.85 no.1
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• pp.120-129
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• 1996

This study was carried out to investigate the hydraulic architecture such as relative hydraulic conductivity, Leaf specific conductivity(LSC), Huber value, Specific conductivity of the stem, branch and Junctions of stem-to-branch in Quercus mongolica trees. The hydraulic architecture of various hydraulic conductivities of stem and branch was described. The results obtained were summarized as follows : 1. The range of relative hydraulic conductivity was $2.5526{\times}10^{-12}$ to $1.2260{\times}10^{-10}m^2$ in stems, $1.6279{\times}10^{-11}$ to $6.8378{\times}10^{-11}m^2$ in branches. The relative hydraulic conductivities increased with decreasing diameter of stem and branch. The relative hydraulic conductivity of one-year-old terminal shoots were two times greater than that of the lateral shoots. 2. LSC value was larger at the top than at the base in stem. LSC is much smaller in branches than in stem ; especially smallest at branching part. 3. Hydraulic conductivities of the branching part appeared the different values with the 4 type and 4 type. Relative hydraulic conductivity, LSC, Specific conductivity and mean vessel diameter in type branching part were larger in stem than in branch part, but not found in the branching part of Y type. 4. LSC and Specific conductivity of stem increased with decreasing diameter, but Huber value slowly increased with decreasing diameter ; especially highest at less than 1cm diameter. 5. LSC, Huber value, and mean diameter of vessels were larger at 1-year-old leader shoots than at lateral shoots. 6. The mean vessel diameter in various parts of a tree decreased with decreasing diameter of stem, but the number of vessels per unit area($mm^{-2}$) increased reversely. Mean vessel diameter in stem decreased sharply at earlywood and slowly at latewood with decreasing diameter of stem.