Residual Error

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Jinn-liang Liu - One of the best experts on this subject based on the ideXlab platform.

  • A NONCONFORMING WEAK Residual Error ESTIMATOR FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
    Taiwanese Journal of Mathematics, 1999
    Co-Authors: Jang Jou, Jinn-liang Liu
    Abstract:

    A nonconforming weak Residual Error estimator is presented and analyzed for nite element solutions of linear elliptic partial dierential equations. The treatment of the ux jumps across element edges is of special interest. The estimator is obtained by solving local Residual problems which do not explicitly involve the jumps and do not require boundary conditions. The estimator handles both interior and edge Residuals on each element by a suitable construction of the basis functions for the local problems. Together with the previous conforming estimator, the weak Residual Error estimation, without the ux jumps, can thus be applied to both odd- and even-order nite element approximations.

  • On Weak Residual Error Estimation
    SIAM Journal on Scientific Computing, 1996
    Co-Authors: Jinn-liang Liu
    Abstract:

    A general framework for weak Residual Error estimators applying to various types of boundary value problems in connection with finite element and finite volume approximations is developed. Basic ideas commonly shared by various applications in Error estimation and adaptive computation are presented and illustrated. Some numerical results are given to show the effectiveness and efficiency of the estimators.

  • Weak Residual Error estimates for symmetric positive systems
    Numerical Functional Analysis and Optimization, 1993
    Co-Authors: Jinn-liang Liu
    Abstract:

    A weak-Residual type Error estimation for finite element solutions of symmetric positive systems in the sense of Friedrichs' is proposed. The estimator calculates a Residual Error interior to an element with no consideration of boundary Residual, thus allowing for element-by-element computations. The estimator is proved to be bounded by the exact Error in suitably defined norm with multiple constants. A priori and a posteriori numerical estimates are presented for a forward-backward heat equation model problem.

Yueen Hou - One of the best experts on this subject based on the ideXlab platform.

  • Robust Residual Error consistent tracker with ranking mechanism
    Journal of Visual Communication and Image Representation, 2016
    Co-Authors: Yueen Hou
    Abstract:

    A Residual Error term is used to constraint the objective function.A kind of Residual Error score is extracted from Residual Errors.A new ranking mechanism is designed to fuse the likelihood information. In the paper, we propose a novel structural local sparse representation based Residual Error consistent ranking tracker. In our tracker, candidate targets are linearly combined by using the structural local sparse appearance model. To encourage temporal consistency, a Residual Error consistency term is designed to constraint the objective function of sparse representation. Based on the objective function, the similarity information is extracted from both coefficients and Residual Errors of sparse coding. For extracting similarity information from coefficients, the alignment-pooling algorithm is applied to obtain pooled features. For extracting similarity information from Residual Errors, we develop a Residual Error score. For different natures of Residual Error scores and pooled features, a ranking mechanism is proposed to fuse them. The dictionary updating scheme uses the ranking results of the predicted targets to determine which of them are collected for updating. Our tracker performs favorably against 6 state-of-the-art trackers on 18 challenging sequences.

Wu Xiong-bin - One of the best experts on this subject based on the ideXlab platform.

  • Application of Residual Error Gray Forecast Model in Traffic Accident Forecast
    Technology and Economy in Areas of Communications, 2009
    Co-Authors: Wu Xiong-bin
    Abstract:

    The traffic accident forecast is an important aspect of traffic safety research,and it is also the basis of improving the traffic safety management.In terms of road traffic accident forecast,Residual Error gray forecast model has been established to forecast road traffic accident on the basis of gray forecast model.As a result,in comparison with gray forecast model,more than 63.13% in average relative Error reduction has been observed with Residual Error gray forecast model.Therefore,in road traffic accident forecast,Residual Error gray forecast model was easy,practical and feasible,which also had high accuracy.

Benar Fux Svaiter - One of the best experts on this subject based on the ideXlab platform.

Yeping - One of the best experts on this subject based on the ideXlab platform.