Browsing by Author "Wu, P. Y."

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The Optimal Re-sampling Strategy for a Risk Assessment Model
(2012)
Tong, L. I.
;
Wei, W. Y.
;
Wu, P. Y.
;
工業工程與管理學系
;
Department of Industrial Engineering and Management
The global economic environment is changing rapidly. Consequently, the financial risks of banks or financial institutions are also increased. Banks or financial institutions often utilize various classification methods to construct risk assessment models to determine whether to grant loans to a corporation or an individual. It is often found that the data used to construct a risk assessment model are imbalanced. That is, the number of default is significantly smaller than the number of non-default. In this case, most classification methods fail to construct an accurate risk assessment model since the classification methods are subjected to the imbalanced data. The try-and-error method is often utilized to balance the sample sizes for default and non-default classes. However, the try-and error method is costly and the sampling strategy determined by the try-and-error method may not effectively classify the imbalanced data. Therefore, this study aims to develop an optimal re-sampling strategy using design of experiments (DOE) and dual response surface methodology (DRS). The proposed method can be employed for any classification method to develop a risk assessment model. The effectiveness of the proposed procedure is verified using a real case from a Taiwanese financial institution.
UPPER AND LOWER BOUNDS FOR NUMERICAL RADII OF BLOCK SHIFTS
(2015-12-01)
Gau, H-L.
;
Wu, P. Y.
;
應用數學系
;
Department of Applied Mathematics
For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine when either of them becomes an equality.
UPPER AND LOWER BOUNDS FOR NUMERICAL RADII OF BLOCK SHIFTS
(2015-12)
Gau, H-L.
;
Wu, P. Y.
;
應用數學系
;
Department of Applied Mathematics
For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine when either of them becomes an equality.