In this paper, a unified matrix recovery model was proposed for diverse corrupted matrices. Resulting from the separable structure of the proposed model, the convex optimization problem can be solved efficiently by ad...In this paper, a unified matrix recovery model was proposed for diverse corrupted matrices. Resulting from the separable structure of the proposed model, the convex optimization problem can be solved efficiently by adopting an inexact augmented Lagrange multiplier (IALM) method. Additionally, a random projection accelerated technique (IALM+RP) was adopted to improve the success rate. From the preliminary numerical comparisons, it was indicated that for the standard robust principal component analysis (PCA) problem, IALM+RP was at least two to six times faster than IALM with an insignificant reduction in accuracy; and for the outlier pursuit (OP) problem, IALM+RP was at least 6.9 times faster, even up to 8.3 times faster when the size of matrix was 2 000×2 000.展开更多
This paper aims to study the principal-agent relationship between investors and venture capitalists （VCs）, makes research on the moral hazard issues under this relationship, and how to design an effective incentive ...This paper aims to study the principal-agent relationship between investors and venture capitalists （VCs）, makes research on the moral hazard issues under this relationship, and how to design an effective incentive mechanism to avoid it. By constructing a new incentive model, this paper provides the reference for investors to establish a reasonable payment contract. The designed incentive contract is a kind of dominant consecutive payment mode, which plays a strong incentive role to the VCs, in addition, it also requires the VCs to invest certain capital to the project, which can effectively prevent the slapdash action of VCs, and reduce the agent cost of investors.展开更多
After reviewing the literature and methodology-related issues within the field of product family design, a deficiency in the current design and development of product family is pointed out. The concept of hierarchical...After reviewing the literature and methodology-related issues within the field of product family design, a deficiency in the current design and development of product family is pointed out. The concept of hierarchical associated design is proposed in this article, according to the deficiency~ and the methods and models for realizing the notion above are described. A two-dimensional analytical model is constructed based on the composing levels and developing processes of product family. The optimization models to hierarchical associated design problems are grouped into two categories： overall-local and key-subordinate. The algorithms of the models are discussed in this paper展开更多
基金Supported by National Natural Science Foundation of China (No.51275348)College Students Innovation and Entrepreneurship Training Program of Tianjin University (No.201210056339)
文摘In this paper, a unified matrix recovery model was proposed for diverse corrupted matrices. Resulting from the separable structure of the proposed model, the convex optimization problem can be solved efficiently by adopting an inexact augmented Lagrange multiplier (IALM) method. Additionally, a random projection accelerated technique (IALM+RP) was adopted to improve the success rate. From the preliminary numerical comparisons, it was indicated that for the standard robust principal component analysis (PCA) problem, IALM+RP was at least two to six times faster than IALM with an insignificant reduction in accuracy; and for the outlier pursuit (OP) problem, IALM+RP was at least 6.9 times faster, even up to 8.3 times faster when the size of matrix was 2 000×2 000.
文摘This paper aims to study the principal-agent relationship between investors and venture capitalists （VCs）, makes research on the moral hazard issues under this relationship, and how to design an effective incentive mechanism to avoid it. By constructing a new incentive model, this paper provides the reference for investors to establish a reasonable payment contract. The designed incentive contract is a kind of dominant consecutive payment mode, which plays a strong incentive role to the VCs, in addition, it also requires the VCs to invest certain capital to the project, which can effectively prevent the slapdash action of VCs, and reduce the agent cost of investors.
文摘After reviewing the literature and methodology-related issues within the field of product family design, a deficiency in the current design and development of product family is pointed out. The concept of hierarchical associated design is proposed in this article, according to the deficiency~ and the methods and models for realizing the notion above are described. A two-dimensional analytical model is constructed based on the composing levels and developing processes of product family. The optimization models to hierarchical associated design problems are grouped into two categories： overall-local and key-subordinate. The algorithms of the models are discussed in this paper
