... applications in practical problems. To overcome this issue, with the advantages of the multi-fidelity surrogate (MFS) model, this paper proposes a single-fidelity surrogate model with a hierarchical structure, named nonlinearity integrated correlation mapping surrogate (NI-CMS) model. The NI-CMS model first...

... on evidence theory is proposed to uniformly analyze the influence of epistemic uncertainty and their correlation in modeling parameters on the positioning accuracy of robotic end effector. For the epistemic uncertainty derived from the limited sample data of modeling parameters, a generalized evidence theory...

... are expensive to obtain in complex engineering problems. This paper first proposes a new enhanced Mahalanobis distance (EMD) metric by multiplying the original Mahalanobis distance with a direction angle to incorporate the correlation information using limited experimental and simulation data. Combining...

... the scaling factor and the undetermined coefficients in GEMFS-RBF, an expanded correlation matrix is constructed by considering the correlations between the acquired samples, the correlations between the gradients, and the correlations between the samples and their corresponding gradients. To evaluate...

... correlation analysis (CCA)-based MFS model in which the least squares (LS) method is used to determine optimal parameters, named CCA-LS-MFS, is proposed. The CCA-LS-MFS model consists of three stages. The first stage is to construct two transition matrices of HF and LF samples using the CCA method...

... with the engineering systems with complicated correlations among various variables across levels by using the existing hierarchical sensitivity analysis method based on variance decomposition. To overcome this limitation, a mapping-based hierarchical sensitivity analysis method is proposed to obtain sensitivity...