• Title/Summary/Keyword: mean absolute error

Search Result 551, Processing Time 0.05 seconds

Contrast Image Enhancement Using Multi-Histogram Equalization

  • Phanthuna, Nattapong;cheevasuwit, Fusak
    • International Journal of Advanced Culture Technology
    • /
    • v.3 no.2
    • /
    • pp.161-170
    • /
    • 2015
  • Mean separated histogram equalization in order to preserve the original mean brightness has been proposed. To provide the minimum mean brightness error after the histogram modification, the input image's histogram is successively divided by the factor of 2 until the mean brightness error is satisfied the defined threshold. Then each divided group or sub-histogram will be independently equalized based on the proportional input mean. To provide the overall minimum mean brightness error, each group will be controlled by adding some certain pixels from the adjacent grey level of the next group for giving its mean near by the corresponding the divided mean. However, it still exists some little error which will be put into the next adjacent group. By successive dividing the original histogram, we found that the absolute mean brightness error is gradually decreased when the number of group is increased. Therefore, the error threshold is assigned in order to automatically dividing the original histogram for obtaining the desired absolute mean brightness error (AMBE). This process will be applied to the color image by treating each color independently.

Convergence Analysis of the Modified Adaptive Sign (MAS) Algorithm Using a Mixed Norm Error Criterion

  • Lee, Young-Hwan
    • The Journal of the Acoustical Society of Korea
    • /
    • v.16 no.3E
    • /
    • pp.62-68
    • /
    • 1997
  • In this paper, a modified adaptive sign (MAS) algorithm based on a mixed norm error criterion is proposed. The mixed norm error criterion of be minimized is constructed as a combined convex function of the mean-absolute error and the mean-absolute error to the third power. A convergence analysis of the MAS algorithm is also presented. Under a set of mild assumptions, a set of nonlinear evolution equations that characterizes the statistical mean and mean-squared behavior of the algorithm is derived. Computed simulations are carried out to verify the validity of our derivations.

  • PDF

Short-term Power Consumption Forecasting Based on IoT Power Meter with LSTM and GRU Deep Learning (LSTM과 GRU 딥러닝 IoT 파워미터 기반의 단기 전력사용량 예측)

  • Lee, Seon-Min;Sun, Young-Ghyu;Lee, Jiyoung;Lee, Donggu;Cho, Eun-Il;Park, Dae-Hyun;Kim, Yong-Bum;Sim, Isaac;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.19 no.5
    • /
    • pp.79-85
    • /
    • 2019
  • In this paper, we propose a short-term power forecasting method by applying Long Short Term Memory (LSTM) and Gated Recurrent Unit (GRU) neural network to Internet of Things (IoT) power meter. We analyze performance based on real power consumption data of households. Mean absolute error (MAE), mean absolute percentage error (MAPE), mean percentage error (MPE), mean squared error (MSE), and root mean squared error (RMSE) are used as performance evaluation indexes. The experimental results show that the GRU-based model improves the performance by 4.52% in the MAPE and 5.59% in the MPE compared to the LSTM-based model.

Study of Stochastic Techniques for Runoff Forecasting Accuracy in Gongju basin (추계학적 기법을 통한 공주지점 유출예측 연구)

  • Ahn, Jung Min;Hur, Young Teck;Hwang, Man Ha;Cheon, Geun Ho
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.31 no.1B
    • /
    • pp.21-27
    • /
    • 2011
  • When execute runoff forecasting, can not remove perfectly uncertainty of forecasting results. But, reduce uncertainty by various techniques analysis. This study applied various forecasting techniques for runoff prediction's accuracy elevation in Gongju basin. statics techniques is ESP, Period Average & Moving average, Exponential Smoothing, Winters, Auto regressive moving average process. Authoritativeness estimation with results of runoff forecasting by each techniques used MAE (Mean Absolute Error), RMSE (Root Mean Squared Error), RRMSE (Relative Root Mean Squared Error), Mean Absolute Percentage Error (MAPE), TIC (Theil Inequality Coefficient). Result that use MAE, RMSE, RRMSE, MAPE, TIC and confirm improvement effect of runoff forecasting, ESP techniques than the others displayed the best result.

Prediction of Chest Deflection Using Frontal Impact Test Results and Deep Learning Model (정면충돌 시험결과와 딥러닝 모델을 이용한 흉부변형량의 예측)

  • Kwon-Hee Lee;Jaemoon Lim
    • Journal of Auto-vehicle Safety Association
    • /
    • v.15 no.1
    • /
    • pp.55-62
    • /
    • 2023
  • In this study, a chest deflection is predicted by introducing a deep learning technique with the results of the frontal impact of the USNCAP conducted for 110 car models from MY2018 to MY2020. The 120 data are divided into training data and test data, and the training data is divided into training data and validation data to determine the hyperparameters. In this process, the deceleration data of each vehicle is averaged in units of 10 ms from crash pulses measured up to 100 ms. The performance of the deep learning model is measured by the indices of the mean squared error and the mean absolute error on the test data. A DNN (Deep Neural Network) model can give different predictions for the same hyperparameter values at every run. Considering this, the mean and standard deviation of the MSE (Mean Squared Error) and the MAE (Mean Absolute Error) are calculated. In addition, the deep learning model performance according to the inclusion of CVW (Curb Vehicle Weight) is also reviewed.

Estimation Method of Predicted Time Series Data Based on Absolute Maximum Value (최대 절대값 기반 시계열 데이터 예측 모델 평가 기법)

  • Shin, Ki-Hoon;Kim, Chul;Nam, Sang-Hun;Park, Sung-Jae;Yoo, Sung-Soo
    • Journal of Energy Engineering
    • /
    • v.27 no.4
    • /
    • pp.103-110
    • /
    • 2018
  • In this paper, we introduce evaluation method of time series prediction model with new approach of Mean Absolute Percentage Error(hereafter MAPE) and Symmetric Mean Absolute Percentage Error(hereafter sMAPE). There are some problems using MAPE and sMAPE. First MAPE can't evaluate Zero observation of dataset. Moreover, when the observed value is very close to zero it evaluate heavier than other methods. Finally it evaluate different measure even same error between observations and predicted values. And sMAPE does different evaluations are made depending on whether the same error value is over-predicted or under-predicted. And it has different measurement according to the each sign, even if error is the same distance. These problems were solved by Maximum Mean Absolute Percentage Error(hereafter mMAPE). we used the absolute maximum of observed value as denominator instead of the observed value in MAPE, when the value is less than 1, removed denominator then solved the problem that the zero value is not defined. and were able to prevent heavier measurement problem. Also, if the absolute maximum of observed value is greater than 1, the evaluation values of mMAPE were compared with those of the other evaluations. With Beijing PM2.5 temperature data and our simulation data, we compared the evaluation values of mMAPE with other evaluations. And we proved that mMAPE can solve the problems that we mentioned.

Prediction of the interest spread using VAR model (벡터자기회귀모형에 의한 금리스프레드의 예측)

  • Kim, Junhong;Jin, Dalae;Lee, Jisun;Kim, Suji;Son, Young Sook
    • Journal of the Korean Data and Information Science Society
    • /
    • v.23 no.6
    • /
    • pp.1093-1102
    • /
    • 2012
  • In this paper, we predicted the interest spread using the VAR (vector autoregressive) model. Variables used in the VAR model were selected among 56 domestic and foreign macroeconomic time series through crosscorrelation and Granger causality test. The performance of the VAR model was compared with the univariate time series model, AR (autoregressive) model, in view of MAPE (mean absolute percentage error) and RMSE (root mean square error) of forecasts for the last twelve months.

Comparison of Statistic Methods for Evaluating Crop Model Performance (작물모형 평가를 위한 통계적 방법들에 대한 비교)

  • Kim, Junhwan;Lee, Chung-Kuen;Shon, Jiyoung;Choi, Kyung-Jin;Yoon, Younghwan
    • Korean Journal of Agricultural and Forest Meteorology
    • /
    • v.14 no.4
    • /
    • pp.269-276
    • /
    • 2012
  • The objective of this short communication is to introduce several evaluation methods to crop model users because the evaluation of crop model performance is an important step to develop or select crop model. In this paper, mean error, mean absolute error, index of agreement, root mean square error, efficiency of model, accuracy factor and bias factor were explained and compared in terms of dimension and observed number. Efficiency of model and index of agreement are dimensionless and independent of number of observation. Relative root mean square, accuracy factor and bias factor are dimensionless and not independent of number of observation. Mean error and mean absolute error are affected by dimension and number of observation.

A New Metric for Evaluation of Forecasting Methods : Weighted Absolute and Cumulative Forecast Error (수요 예측 평가를 위한 가중절대누적오차지표의 개발)

  • Choi, Dea-Il;Ok, Chang-Soo
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.38 no.3
    • /
    • pp.159-168
    • /
    • 2015
  • Aggregate Production Planning determines levels of production, human resources, inventory to maximize company's profits and fulfill customer's demands based on demand forecasts. Since performance of aggregate production planning heavily depends on accuracy of given forecasting demands, choosing an accurate forecasting method should be antecedent for achieving a good aggregate production planning. Generally, typical forecasting error metrics such as MSE (Mean Squared Error), MAD (Mean Absolute Deviation), MAPE (Mean Absolute Percentage Error), and CFE (Cumulated Forecast Error) are utilized to choose a proper forecasting method for an aggregate production planning. However, these metrics are designed only to measure a difference between real and forecast demands and they are not able to consider any results such as increasing cost or decreasing profit caused by forecasting error. Consequently, the traditional metrics fail to give enough explanation to select a good forecasting method in aggregate production planning. To overcome this limitation of typical metrics for forecasting method this study suggests a new metric, WACFE (Weighted Absolute and Cumulative Forecast Error), to evaluate forecasting methods. Basically, the WACFE is designed to consider not only forecasting errors but also costs which the errors might cause in for Aggregate Production Planning. The WACFE is a product sum of cumulative forecasting error and weight factors for backorder and inventory costs. We demonstrate the effectiveness of the proposed metric by conducting intensive experiments with demand data sets from M3-competition. Finally, we showed that the WACFE provides a higher correlation with the total cost than other metrics and, consequently, is a better performance in selection of forecasting methods for aggregate production planning.

Detection of the Normal Population with the Largest Absolute Value of Mean

  • Kim, Woo-Chul;Jeong, Gyu-Jin
    • Journal of the Korean Statistical Society
    • /
    • v.22 no.1
    • /
    • pp.71-81
    • /
    • 1993
  • Among k independent normal populations with unknown means and a common unknown variance, the problem of detecting the population with the largest absolute value of mean is considered. This problem is formulated in a manner close to the framework of testing hypotheses, and the maximum error probability and the minimum power are considered. The power charts necessary to determine the sample size are provided. The problem of detecting the population with the smallest absolute value of mean is also considered.

  • PDF