• Title/Summary/Keyword: 함수적 선형모형

Search Result 299, Processing Time 0.025 seconds

Using Neural Networks to Predict the Sense of Touch of Polyurethane Coated Fabrics (신경망이론을 이용한 폴리우레탄 코팅포 촉감의 예측)

  • 이정순;신혜원
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
    • /
    • 2001.05a
    • /
    • pp.280-285
    • /
    • 2001
  • 폴리우레탄 코팅포의 촉감을 예측하기 위하여 신경망 이론이 사용되었다. 본 연구에서는 Neural Connection의 MLP(Multi Layer Perceptron)를 신경망 분석에 사용하였으며, 학습 알고리즘은 백프로파게인션(Backpropagation)을 이용하였다. 사용된 변수는 KES-FB시스템에서 측정된 17가지 역학적 특성치를 설명변수, 촉감치를 목표변수로 하였다. 폴리우레탄 코팅포의 촉감을 정확하게 예측할 수 있는 신경망 모델을 찾기 위해, 은닉층의 노드수를 8에서 34로 변화시켜 보았다. 또한 MLP적용함수로 선형함수, 비선형 시그모이드함수, 탄젠트 함수를 사용하여 목표변수를 예측하여 모형의 정확도를 살펴보았다. 구축된 신경망모델은 17가지 역학적특성치 자료를 이용하여 학습되었으며 학습 완료 후 학습에 사용되지 않은 시료를 시스템에 적용하여 학습된 신경망 시스템이 촉감을 평가하게 한 후 주관적으로 평가된 촉감치와 비교하여 본 시스템의 판단의 정확성을 평가하도록 하였다. 은닉층의 노드수와 MLP적용함수는 촉감예측에 영향을 미치는 것으로 나타났는데, 촉감 예측에 가장 적절한 모형은 MLP 적용함수가 탄젠트 함수이고 노드수가 22인 것으로 나타났다. 신경망을 통한 폴리우레탄 코팅포의 촉감 예측력은 선행연구에서 이용된 통계적 방법보다 높게 나타나 폴리우레탄 코팅포의 촉감예측에 신경망의 이용은 효과적인 것으로 밝혀졌다.

  • PDF

Parameter estimation of linear function using VUS and HUM maximization (VUS와 HUM 최적화를 이용한 선형함수의 모수추정)

  • Hong, Chong Sun;Won, Chi Hwan;Jeong, Dong Gil
    • Journal of the Korean Data and Information Science Society
    • /
    • v.26 no.6
    • /
    • pp.1305-1315
    • /
    • 2015
  • Consider the risk score which is a function of a linear score for the classification models. The AUC optimization method can be applied to estimate the coefficients of linear score. These estimates obtained by this AUC approach method are shown to be better than the maximum likelihood estimators using logistic models under the general situation which does not fit the logistic assumptions. In this work, the VUS and HUM approach methods are suggested by extending AUC approach method for more realistic discrimination and prediction worlds. Some simulation results are obtained with both various distributions of thresholds and three kinds of link functions such as logit, complementary log-log and modified logit functions. It is found that coefficient prediction results by using the VUS and HUM approach methods for multiple categorical classification are equivalent to or better than those by using logistic models with some link functions.

Classical testing based on B-splines in functional linear models (함수형 선형모형에서의 B-스플라인에 기초한 검정)

  • Sohn, Jihoon;Lee, Eun Ryung
    • The Korean Journal of Applied Statistics
    • /
    • v.32 no.4
    • /
    • pp.607-618
    • /
    • 2019
  • A new and interesting task in statistics is to effectively analyze functional data that frequently comes from advances in modern science and technology in areas such as meteorology and biomedical sciences. Functional linear regression with scalar response is a popular functional data analysis technique and it is often a common problem to determine a functional association if a functional predictor variable affects the scalar response in the models. Recently, Kong et al. (Journal of Nonparametric Statistics, 28, 813-838, 2016) established classical testing methods for this based on functional principal component analysis (of the functional predictor), that is, the resulting eigenfunctions (as a basis). However, the eigenbasis functions are not generally suitable for regression purpose because they are only concerned with the variability of the functional predictor, not the functional association of interest in testing problems. Additionally, eigenfunctions are to be estimated from data so that estimation errors might be involved in the performance of testing procedures. To circumvent these issues, we propose a testing method based on fixed basis such as B-splines and show that it works well via simulations. It is also illustrated via simulated and real data examples that the proposed testing method provides more effective and intuitive results due to the localization properties of B-splines.

Stochastic Probability Model for Preventive Management of Armor Units of Rubble-Mound Breakwaters (경사제 피복재의 유지관리를 위한 추계학적 확률모형)

  • Lee, Cheol-Eung;Kim, Sang Ug
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.33 no.3
    • /
    • pp.1007-1015
    • /
    • 2013
  • A stochastic probability model based on the non-homogeneous Poisson process is represented that can correctly analyze the time-dependent linear and nonlinear behaviors of total damage over the occurrence process of loads. Introducing several types of damage intensity functions, the probability of failure and the total damage with respect to mean time to failure has been investigated in detail. Taking particularly the limit state to be the random variables followed with a distribution function, the uncertainty of that would be taken into consideration in this paper. In addition, the stochastic probability model has been straightforwardly applied to the rubble-mound breakwaters with the definition of damage level about the erosion of armor units. The probability of failure and the nonlinear total damage with respect to mean time to failure has been analyzed with the damage intensity functions for armor units estimated by fitting the expected total damage to the experimental datum. Based on the present results from the stochastic probability model, the preventive management for the armor units of the rubble-mound breakwaters would be suggested to make a decision on the repairing time and the minimum amounts repaired quantitatively.

The Comparative Study for NHPP Software Reliability Growth Model Based on Non-linear Intensity Function (비선형 강도함수를 가진 NHPP 소프트웨어 신뢰성장 모형에 관한 비교 연구)

  • Kim, Hee-Cheul
    • Convergence Security Journal
    • /
    • v.7 no.2
    • /
    • pp.1-8
    • /
    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault (intensity function). In this paper, intensity function of Goel-Okumoto model was reviewed, proposes Kappa (2) and the Burr distribution, which maked out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method. For model determination and selection, explored goodness of fit (the error sum of squares) The methodology developed in this paper is exemplified with a software reliability real data set introduced by NTDS (Naval Tactical Data System)

  • PDF

A Study on the Optimal City Park Planning by Using Social Welfare function (사회후생함수를 이용한 최적 도시공단 계획에 관한 연구)

  • 서주환
    • Journal of the Korean Institute of Landscape Architecture
    • /
    • v.16 no.3
    • /
    • pp.1-6
    • /
    • 1989
  • The current linear programming model as for city park planning has the following intrinsic constraints. First of all, it cannot explicity consider choice behaviors of people. Secondly, the objective function of linear programming model cannot sufficiently intergrate satisfactions of people. In order to overcome these weak points of linear programming model, the following extensions have been made in this paper. First of all, bionominal and multinominal logit models based upon logit models, utility maximization of people have been constructed, Secondly, based upon logit models, social welfare function has been constructed in order to aggregate satisfactions of people. By doing this, intrinsic oonstraints of linear programming model have been successfully overcome. In the future research, empirical study of the model developed in this paper will be necessary. By doing this, the construction of optimal investment plan for city parks will be possible.

  • PDF

Dynamic Nonlinear Prediction Model of Univariate Hydrologic Time Series Using the Support Vector Machine and State-Space Model (Support Vector Machine과 상태공간모형을 이용한 단변량 수문 시계열의 동역학적 비선형 예측모형)

  • Kwon, Hyun-Han;Moon, Young-Il
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.26 no.3B
    • /
    • pp.279-289
    • /
    • 2006
  • The reconstruction of low dimension nonlinear behavior from the hydrologic time series has been an active area of research in the last decade. In this study, we present the applications of a powerful state space reconstruction methodology using the method of Support Vector Machines (SVM) to the Great Salt Lake (GSL) volume. SVMs are machine learning systems that use a hypothesis space of linear functions in a Kernel induced higher dimensional feature space. SVMs are optimized by minimizing a bound on a generalized error (risk) measure, rather than just the mean square error over a training set. The utility of this SVM regression approach is demonstrated through applications to the short term forecasts of the biweekly GSL volume. The SVM based reconstruction is used to develop time series forecasts for multiple lead times ranging from the period of two weeks to several months. The reliability of the algorithm in learning and forecasting the dynamics is tested using split sample sensitivity analyses, with a particular interest in forecasting extreme states. Unlike previously reported methodologies, SVMs are able to extract the dynamics using only a few past observed data points (Support Vectors, SV) out of the training examples. Considering statistical measures, the prediction model based on SVM demonstrated encouraging and promising results in a short-term prediction. Thus, the SVM method presented in this study suggests a competitive methodology for the forecast of hydrologic time series.

Prior distributions using the entropy principles (엔트로피 이론을 이용한 사전 확률 분포함수의 추정)

  • Lee, Jung-Jin;Shin, Wan-Seon
    • The Korean Journal of Applied Statistics
    • /
    • v.3 no.2
    • /
    • pp.91-105
    • /
    • 1990
  • Several practical prior distributions are derived using the maximum entropy principle. Also, an interactive method for estimating a prior distribution which uses the minimum cross-entropy principle is proposed when there are many prior informations. The consistency of the prior distributions obtained by the entropy principles is discussed.

  • PDF

Comparative Study on Determining Highway Routes (도로의 최적노선대 선정방법 비교 연구)

  • Kim, Kwan-Jung;Chang, Myung-Soon
    • International Journal of Highway Engineering
    • /
    • v.8 no.4 s.30
    • /
    • pp.159-179
    • /
    • 2006
  • By using the current road design method that is based on the regulation about structure and facilities standard of the road and the route plan guide of a national road and the alignment optimization road design method which is studied in the inside and outside of country, this study operate the route plan of the sample study and compare and analysis the route character, consequently the current design method has local optimization that is formed the plan by the stage and the section. Alignment optimization road design has the system optimal route search. But cost function has limite that caused by construction parameter that is not included in cost function. So we design a road route included cost function in main fields. As a result, we obtain a realistic and economically road route. The alignment optimization road design model has to be made up some problems, like the change of vertical gradient in the tunnel section, though this defects it has a lot of merits as a geometric design tool, especially in the feasibility study and the scheme design.

  • PDF

Estimation of Asymmetric Bell Shaped Probability Curve using Logistic Regression (로지스틱 회귀모형을 이용한 비대칭 종형 확률곡선의 추정)

  • 박성현;김기호;이소형
    • The Korean Journal of Applied Statistics
    • /
    • v.14 no.1
    • /
    • pp.71-80
    • /
    • 2001
  • Logistic regression model is one of the most popular linear models for a binary response variable and used for the estimation of probability function. In many practical situations, the probability function can be expressed by a bell shaped curve and such a function can be estimated by a second order logistic regression model. However, when the probability curve is asymmetric, the estimation results using a second order logistic regression model may not be precise because a second order logistic regression model is a symmetric function. In addition, even if a second order logistic regression model is used, the interpretation for the effect of second order term may not be easy. In this paper, in order to alleviate such problems, an estimation method for asymmetric probabiity curve based on a first order logistic regression model and iterative bi-section method is proposed and its performance is compared with that of a second order logistic regression model by a simulation study.

  • PDF