Recently, some research efforts have shown that face images possibly reside on a nonlinear sub-manifold. Though Laplacianfaees method considered the manifold structures of the face images, it has limits to solve face ...Recently, some research efforts have shown that face images possibly reside on a nonlinear sub-manifold. Though Laplacianfaees method considered the manifold structures of the face images, it has limits to solve face recognition problem. This paper proposes a new feature extraction method, Two Dimensional Laplacian EigenMap （2DLEM）, which especially considers the manifold structures of the face images, and extracts the proper features from face image matrix directly by using a linear transformation. As opposed to Laplacianfaces, 2DLEM extracts features directly from 2D images without a vectorization preprocessing. To test 2DLEM and evaluate its performance, a series of ex- periments are performed on the ORL database and the Yale database. Moreover, several experiments are performed to compare the performance of three 2D methods. The experiments show that 2DLEM achieves the best performance.展开更多
With the increasing number of web services, it becomes a difficult task for an ordinary user to select an appropriate service. Hence, it is conventional that users in a digital community network take part in a collabo...With the increasing number of web services, it becomes a difficult task for an ordinary user to select an appropriate service. Hence, it is conventional that users in a digital community network take part in a collaborative mechanism for the purpose of service selection. The participation usually brings unnecessary burdens for users, such as giving opinions, storing service information. Extra communication overhead hinders the performance of the network. Thus, the community administrators are facing a problem of how to obtain an overall service selection result for the whole community readily and effectively. To address this problem, we present a k-median facility location agent model. The model analyzes the procedure of service selection through five entities and six types of messages. Two algorithms are elaborated in pursuit of a global optimization concerning connection costs between users and facilities where services are deployed. To evaluate our model, we conduct extensive simulations and present a detailed analysis of the simulation results.展开更多
Most Japanese are enjoying rich and convenient dietary habits nowadays. However, majorities of Japanese are feeling anxiety about the future food supply because Japan＇s food self-sufficiency ratio has fallen most rap...Most Japanese are enjoying rich and convenient dietary habits nowadays. However, majorities of Japanese are feeling anxiety about the future food supply because Japan＇s food self-sufficiency ratio has fallen most rapidly in the last 45 years, and is lowest amongst countries with a population of more than 100 million. Major causes and mechanisms of the decline in the food self-sufficiency ratio over the last 45 years were analyzed. Drastic changes of dietary habits under rapid economic growth and sharp appreciation of the yen against the US dollar were found to be the major causes of the sharp decline of the food self-sufficiency ratio. Preliminary projections about the food self-sufficiency ratio in 2015 were carried out, and it was found that it will not be easy to achieve the policy goal of raising the food self-sufficiency ratio to 45% by 2015.展开更多
This paper discusses the connectivity of the essential spectra of Toeplitz operators with symbols in H∞ +C on Hardy spaces and weighted Bergman spaces for several complex variables.
Individual education performance is usually influenced jointly by ability and background （family background）. The relative share of these two factors forms the basic grounds for judgments of educational equity. Usin...Individual education performance is usually influenced jointly by ability and background （family background）. The relative share of these two factors forms the basic grounds for judgments of educational equity. Using sheaf coefficients, we compare the influence of these two mechanisms on the distribution of access to regular first degree higher education opportunities for institutions at different levels. Our findings show that both ability and family background have a marked influence. The higher the level of the institution, thegreater the ability demanded of its students. The effect of family also increases significantly at this level, but ability always has a much stronger influence than family background. It can be seen that though fatuity background is influential in the distribution of higher education opportunities in China today, ability fundamentally remains the dominant criterion, embodying the classic features of a meritocratic society ＂open to talent.＂展开更多
This paper proves that the first eigenfunctions of the Finsler p-Lapalcian are C^(1,α). Using a gradient comparison theorem and one-dimensional model, we obtain the sharp lower bound of the first Neumann and closed e...This paper proves that the first eigenfunctions of the Finsler p-Lapalcian are C^(1,α). Using a gradient comparison theorem and one-dimensional model, we obtain the sharp lower bound of the first Neumann and closed eigenvalue of the p-Laplacian on a compact Finsler manifold with nonnegative weighted Ricci curvature,on which a lower bound of the first Dirichlet eigenvalue of the p-Laplacian is also obtained.展开更多
This paper deals with the optimal transportation for generalized Lagrangian L = L（x, u, t）, and considers the following cost function： c（x, y） = inf x（0）=x x（1）=y u∈U∫0^1 L（x（s）, u（x（s）, s）, s）ds, w...This paper deals with the optimal transportation for generalized Lagrangian L = L（x, u, t）, and considers the following cost function： c（x, y） = inf x（0）=x x（1）=y u∈U∫0^1 L（x（s）, u（x（s）, s）, s）ds, where U is a control set, and x satisfies the ordinary equation x（s） = f（x（s）, u（x（s）, s））.It is proved that under the condition that the initial measure μ0 is absolutely continuous w.r.t. the Lebesgue measure, the Monge problem has a solution, and the optimal transport map just walks along the characteristic curves of the corresponding Hamilton-Jacobi equation：Vt（t, x） ＋ sup u∈U = 0,V（0, x） = Φ0（x）.展开更多
The dynamics of constitutive gene expression with delayed m RNA degradation is investigated, where the intrinsic noise caused by the small number of reactant molecules is introduced. It is found that the oscillatory b...The dynamics of constitutive gene expression with delayed m RNA degradation is investigated, where the intrinsic noise caused by the small number of reactant molecules is introduced. It is found that the oscillatory behavior claimed in previous investigations does not appear in the approximation of small time delay, and the steady state distribution still follows the Poisson law. Furthermore, we introduce the extrinsic noise induced by surrounding environment to explore the effects of this noise and time delay on the Fano factor. Based on a delay Langevin equation and the corresponding Fokker–Planck equation, the distribution of m RNA copy-number is achieved analytically. The time delay and extrinsic noise play similar roles in the gene expression system, that is, they are able to result in the deviation of the Fano factor from 1 evidently. The measured Fano factor for constitutive gene expression is slightly larger than 1, which is perhaps attributed to the time-delay effect.展开更多
基金the National Natural Science Foundation of China(No.60441002)the National Basic Research and Development Program (973)(No.2006CB303105) and (No.2004CB318110)
文摘Recently, some research efforts have shown that face images possibly reside on a nonlinear sub-manifold. Though Laplacianfaees method considered the manifold structures of the face images, it has limits to solve face recognition problem. This paper proposes a new feature extraction method, Two Dimensional Laplacian EigenMap （2DLEM）, which especially considers the manifold structures of the face images, and extracts the proper features from face image matrix directly by using a linear transformation. As opposed to Laplacianfaces, 2DLEM extracts features directly from 2D images without a vectorization preprocessing. To test 2DLEM and evaluate its performance, a series of ex- periments are performed on the ORL database and the Yale database. Moreover, several experiments are performed to compare the performance of three 2D methods. The experiments show that 2DLEM achieves the best performance.
基金This work is supported by Program for the Key Program of NSFC-Guangdong Union Foundation （U1135002）, Major national S＆T program （2011ZX03005-002）, National Natural Science Foundation of China （60872041, 61072066）, the Fundamental Research Funds for the Central Universities （JY10000903001, JY10000901034, K5051203010） and the GAD Pre-Research Foundation （9140A 15040210HK61 ）.
文摘With the increasing number of web services, it becomes a difficult task for an ordinary user to select an appropriate service. Hence, it is conventional that users in a digital community network take part in a collaborative mechanism for the purpose of service selection. The participation usually brings unnecessary burdens for users, such as giving opinions, storing service information. Extra communication overhead hinders the performance of the network. Thus, the community administrators are facing a problem of how to obtain an overall service selection result for the whole community readily and effectively. To address this problem, we present a k-median facility location agent model. The model analyzes the procedure of service selection through five entities and six types of messages. Two algorithms are elaborated in pursuit of a global optimization concerning connection costs between users and facilities where services are deployed. To evaluate our model, we conduct extensive simulations and present a detailed analysis of the simulation results.
文摘Most Japanese are enjoying rich and convenient dietary habits nowadays. However, majorities of Japanese are feeling anxiety about the future food supply because Japan＇s food self-sufficiency ratio has fallen most rapidly in the last 45 years, and is lowest amongst countries with a population of more than 100 million. Major causes and mechanisms of the decline in the food self-sufficiency ratio over the last 45 years were analyzed. Drastic changes of dietary habits under rapid economic growth and sharp appreciation of the yen against the US dollar were found to be the major causes of the sharp decline of the food self-sufficiency ratio. Preliminary projections about the food self-sufficiency ratio in 2015 were carried out, and it was found that it will not be easy to achieve the policy goal of raising the food self-sufficiency ratio to 45% by 2015.
文摘This paper discusses the connectivity of the essential spectra of Toeplitz operators with symbols in H∞ +C on Hardy spaces and weighted Bergman spaces for several complex variables.
基金supported by the National Philosophy and Social Science Foundation project"A Study of Trends in the Evolution of the Structure of Social Strata in China"(10ASH002)the Ministry of Education Humanities and Social Sciences Key Research Bases(Center for Studies of Sociological Theory and Method of Renmin University)major topic"Sociological Theory and Empirical Research on Equity in Education"(07JJD840198)Tsinghua University Humanities and Social Sciences Revitalization Fund Research Program Later Stage project"Research on Educational Equity and Social Stratification"(2010WKHQ008)
文摘Individual education performance is usually influenced jointly by ability and background （family background）. The relative share of these two factors forms the basic grounds for judgments of educational equity. Using sheaf coefficients, we compare the influence of these two mechanisms on the distribution of access to regular first degree higher education opportunities for institutions at different levels. Our findings show that both ability and family background have a marked influence. The higher the level of the institution, thegreater the ability demanded of its students. The effect of family also increases significantly at this level, but ability always has a much stronger influence than family background. It can be seen that though fatuity background is influential in the distribution of higher education opportunities in China today, ability fundamentally remains the dominant criterion, embodying the classic features of a meritocratic society ＂open to talent.＂
基金supported by National Natural Science Foundation of China (Grant No. 11471246)Natural Science Foundation of Higher Education in Anhui Province (Grant No. KJ2014A257)
文摘This paper proves that the first eigenfunctions of the Finsler p-Lapalcian are C^(1,α). Using a gradient comparison theorem and one-dimensional model, we obtain the sharp lower bound of the first Neumann and closed eigenvalue of the p-Laplacian on a compact Finsler manifold with nonnegative weighted Ricci curvature,on which a lower bound of the first Dirichlet eigenvalue of the p-Laplacian is also obtained.
文摘This paper deals with the optimal transportation for generalized Lagrangian L = L（x, u, t）, and considers the following cost function： c（x, y） = inf x（0）=x x（1）=y u∈U∫0^1 L（x（s）, u（x（s）, s）, s）ds, where U is a control set, and x satisfies the ordinary equation x（s） = f（x（s）, u（x（s）, s））.It is proved that under the condition that the initial measure μ0 is absolutely continuous w.r.t. the Lebesgue measure, the Monge problem has a solution, and the optimal transport map just walks along the characteristic curves of the corresponding Hamilton-Jacobi equation：Vt（t, x） ＋ sup u∈U = 0,V（0, x） = Φ0（x）.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11405223 and 81370970by the Youth Innovation Promotion Association of Chinese Academy of Sciences
文摘The dynamics of constitutive gene expression with delayed m RNA degradation is investigated, where the intrinsic noise caused by the small number of reactant molecules is introduced. It is found that the oscillatory behavior claimed in previous investigations does not appear in the approximation of small time delay, and the steady state distribution still follows the Poisson law. Furthermore, we introduce the extrinsic noise induced by surrounding environment to explore the effects of this noise and time delay on the Fano factor. Based on a delay Langevin equation and the corresponding Fokker–Planck equation, the distribution of m RNA copy-number is achieved analytically. The time delay and extrinsic noise play similar roles in the gene expression system, that is, they are able to result in the deviation of the Fano factor from 1 evidently. The measured Fano factor for constitutive gene expression is slightly larger than 1, which is perhaps attributed to the time-delay effect.
