• Title/Summary/Keyword: Auto Regressive

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A Study of Estimation Method for Auto-Regressive Model with Non-Normal Error and Its Prediction Accuracy (비정규 오차를 고려한 자기회귀모형의 추정법 및 예측성능에 관한 연구)

  • Lim, Bo Mi;Park, Cheong-Sool;Kim, Jun Seok;Kim, Sung-Shick;Baek, Jun-Geol
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.2
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    • pp.109-118
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    • 2013
  • We propose a method for estimating coefficients of AR (autoregressive) model which named MLPAR (Maximum Likelihood of Pearson system for Auto-Regressive model). In the present method for estimating coefficients of AR model, there is an assumption that residual or error term of the model follows the normal distribution. In common cases, we can observe that the error of AR model does not follow the normal distribution. So the normal assumption will cause decreasing prediction accuracy of AR model. In the paper, we propose the MLPAR which does not assume the normal distribution of error term. The MLPAR estimates coefficients of auto-regressive model and distribution moments of residual by using pearson distribution system and maximum likelihood estimation. Comparing proposed method to auto-regressive model, results are shown to verify improved performance of the MLPAR in terms of prediction accuracy.

Nonlinear System Identification; Comparison of the Traditional and the Neural Networks Approaches (비선형 시스템규명; 신경회로망과 기존방법의 비교)

  • Chong, Kil-To
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.157-165
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    • 1995
  • In this paper the comparison between the neural networks and traditional approaches as nonlinear system identification methods are considered. Two model structures of neural networks are the state space model and the input output model neural networks. The traditional methods are the AutoRegressive eXogeneous Input model and the Nonlinear AutoRegressive eXogeneous Input model. Computer simulation for an analytic dynamic model of a single input single output nonlinear system has been done for all the chosen models. Model validation for the obtained models also has been done with testing inputs of the sinusoidal, ramp and the noise ramp.

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Side Information Extrapolation Using Motion-aligned Auto Regressive Model for Compressed Sensing based Wyner-Ziv Codec

  • Li, Ran;Gan, Zongliang;Cui, Ziguan;Wu, Minghu;Zhu, Xiuchang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.2
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    • pp.366-385
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    • 2013
  • In this paper, we propose a compressed sensing (CS) based Wyner-Ziv (WZ) codec using motion-aligned auto regressive model (MAAR) based side information (SI) extrapolation to improve the compression performance of low-delay distributed video coding (DVC). In the CS based WZ codec, the WZ frame is divided into small blocks and CS measurements of each block are acquired at the encoder, and a specific CS reconstruction algorithm is proposed to correct errors in the SI using CS measurements at the decoder. In order to generate high quality SI, a MAAR model is introduced to improve the inaccurate motion field in auto regressive (AR) model, and the Tikhonov regularization on MAAR coefficients and overlapped block based interpolation are performed to reduce block effects and errors from over-fitting. Simulation experiments show that our proposed CS based WZ codec associated with MAAR based SI generation achieves better results compared to other SI extrapolation methods.

Identification of dynamic characteristics of structures using vector backward auto-regressive model

  • Hung, Chen-Far;Ko, Wen-Jiunn;Peng, Yen-Tun
    • Structural Engineering and Mechanics
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    • v.15 no.3
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    • pp.299-314
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    • 2003
  • This investigation presents an efficient method for identifying modal characteristics from the measured displacement, velocity and acceleration signals of multiple channels on structural systems. A Vector Backward Auto-Regressive model (VBAR) that describes the relationship between the output information in different time steps is used to establish a backward state equation. Generally, the accuracy of the identified dynamic characteristics can be improved by increasing the order of the Auto-Regressive model (AR) in cases of measurement of data under noisy circumstances. However, a higher-order AR model also induces more numerical modes, only some of which are the system modes. The proposed VBAR model provides a clear characteristic boundary to separate the system modes from the spurious modes. A numerical example of a lumped-mass model with three DOFs was established to verify the applicability and effectiveness of the proposed method. Finally, an offshore platform model was experimentally employed as an application case to confirm the proposed VBAR method can be applied to real-world structures.

The Longitudinal Causal Relationship between School Life Adjustment and Life Satisfaction Among Adolescents: The Application of Auto-Regressive Cross-Lagged Model

  • Kim, Kyung Ho
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.4
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    • pp.181-188
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    • 2021
  • The purpose of the current study was to investigate the causal relationship between school life adjustment and life satisfaction among adolescents through longitudinal panel data. The current study analyzed the 1st through 7th wave data in the 4th grade panel of elementary school from the Korea Children and Youth Panel Survey (KCYPS). The research model was tested using auto-regressive cross-lagged model. The major results were as follows. First, adolescents' school life adjustment had a positive auto-regressive effect. Second, adolescents' life satisfaction had a positive auto-regressive effect. Third, adolescents' school life adjustment was a causal predictor of life satisfaction, but not vice versa. Finally, implications in terms of enhancing adolescents' school life adjustment and life satisfaction were also discussed.

Spatio-temporal models for generating a map of high resolution NO2 level

  • Yoon, Sanghoo;Kim, Mingyu
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.803-814
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    • 2016
  • Recent times have seen an exponential increase in the amount of spatial data, which is in many cases associated with temporal data. Recent advances in computer technology and computation of hierarchical Bayesian models have enabled to analyze complex spatio-temporal data. Our work aims at modeling data of daily average nitrogen dioxide (NO2) levels obtained from 25 air monitoring sites in Seoul between 2003 and 2010. We considered an independent Gaussian process model and an auto-regressive model and carried out estimation within a hierarchical Bayesian framework with Markov chain Monte Carlo techniques. A Gaussian predictive process approximation has shown the better prediction performance rather than a Hierarchical auto-regressive model for the illustrative NO2 concentration levels at any unmonitored location.

Generalized Adaptive Spatio-Temporal Auto-Regressive Model for Video Sequences (동영상에서 일반화된 시공간 적응적 Auto-Regressive 모델의 연구)

  • 두석주;강문기
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1998.06a
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    • pp.131-134
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    • 1998
  • 본 논문에서는 시공간 적응적 기반영역 (Adaptive Spatio-Temporal Support Region : ASTSR)을 바탕으로 하는 일반화된 Auto-Regressive(AT)모델을 제안한다. 시공간 적응적 기반 영역은 영상 내 경계선의 특성과 동영상에서의 시간적 불연속 (temporal discontinuity) 개념을 이용하여 구성되어질 수 있다. 설정된 시공간 적응적 기반영역은 기존의 AR 모델에 적용되어지는 직사각형 형태의 기반영역에 비하여 보다 정상상태(stationarity)의 특성을 가지며 이로 인해 더 정확한 모델 파라미터들을 추출해 낼 수 있을 뿐 아니라 데이터의 처리량에서도 큰 이득을 얻을 수 있다. 제안된 방법은 손상된 동영상 데이터를 복원(motion picture restoration)하는 측면에 응용되어 실험되어졌으며 기존의 모델과 비교하여 우수한 성능을 보여주었다.

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Robust Speech Recognition Using Weighted Auto-Regressive Moving Average Filter (가중 ARMA 필터를 이용한 강인한 음성인식)

  • Ban, Sung-Min;Kim, Hyung-Soon
    • Phonetics and Speech Sciences
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    • v.2 no.4
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    • pp.145-151
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    • 2010
  • In this paper, a robust feature compensation method is proposed for improving the performance of speech recognition. The proposed method is incorporated into the auto-regressive moving average (ARMA) based feature compensation. We employ variable weights for the ARMA filter according to the degree of speech activity, and pass the normalized cepstral sequence through the weighted ARMA filter. Additionally when normalizing the cepstral sequences in training, the cepstral means and variances are estimated from total training utterances. Experimental results show the proposed method significantly improves the speech recognition performance in the noisy and reverberant environments.

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Degradation Prediction and Analysis of Lithium-ion Battery using the S-ARIMA Model with Seasonality based on Time Series Models (시계열 모델 기반의 계절성에 특화된 S-ARIMA 모델을 사용한 리튬이온 배터리의 노화 예측 및 분석)

  • Kim, Seungwoo;Lee, Pyeong-Yeon;Kwon, Sanguk;Kim, Jonghoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.27 no.4
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    • pp.316-324
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    • 2022
  • This paper uses seasonal auto-regressive integrated moving average (S-ARIMA), which is efficient in seasonality between time-series models, to predict the degradation tendency for lithium-ion batteries and study a method for improving the predictive performance. The proposed method analyzes the degradation tendency and extracted factors through an electrical characteristic experiment of lithium-ion batteries, and verifies whether time-series data are suitable for the S-ARIMA model through several statistical analysis techniques. Finally, prediction of battery aging is performed through S-ARIMA, and performance of the model is verified through error comparison of predictions through mean absolute error.

Comparison of the traditional and the neural networks approaches

  • Chong, Kil-To;Parlos, Alexander-G.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.134-139
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    • 1994
  • In this paper the comparison between the neural networks and traditional approaches as system identification method are considered. Two model structures of neural networks are the state space model and the input output model neural networks. The traditional methods are the AutoRegressive eXogeneous Input model and the Nonlinear AutoRegressive eXogeneous Input model. The examples considered do not represent any physical system, no a priori knowledge concerning their structure has been used in the identification process. Testing inputs for comparison are the sinusoidal, ramp and the noise ramp.

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