Cancer disease is a deadliest disease cause more dangerous one.By identifying the disease through Artificial intelligence to getting the mage features directly from patients.This paper presents the lung knob division ...Cancer disease is a deadliest disease cause more dangerous one.By identifying the disease through Artificial intelligence to getting the mage features directly from patients.This paper presents the lung knob division and disease characterization by proposing an enhancement calculation.Most of the machine learning techniques failed to observe the feature dimensions leads inaccuracy in feature selection and classification.This cause inaccuracy in sensitivity and specificity rate to reduce the identification accuracy.To resolve this problem,to propose a Chicken Sine Cosine Algorithm based Deep Belief Network to identify the disease factor.The general technique of the created approach includes four stages,such as pre-processing,segmentation,highlight extraction,and the order.From the outset,the Computerized Tomography(CT)image of the lung is taken care of to the division.When the division is done,the highlights are extricated through morphological factors for feature observation.By getting the features are analysed and the characterization is done dependent on the Deep Belief Network(DBN)which is prepared by utilizing the proposed Chicken-Sine Cosine Algorithm(CSCA)which distinguish the lung tumour,giving two classes in particular,knob or non-knob.The proposed system produce high performance as well compared to the other system.The presentation assessment of lung knob division and malignant growth grouping dependent on CSCA is figured utilizing three measurements to be specificity,precision,affectability,and the explicitness.展开更多
The probabilities of the following events are first discussed in this paper: the insurance company survives to any fixed time k and the surplus at time k equals x≥1 . The formulas for calculating such prob...The probabilities of the following events are first discussed in this paper: the insurance company survives to any fixed time k and the surplus at time k equals x≥1 . The formulas for calculating such probabilities are deduced through analytical and probabilistic arguments respectively. Finally, other probability laws relating to risk are determined based on the probabilities mentioned above.展开更多
Moment estimation for multivariate extreme value distribution is describedin this paper. Asymptotic covariance matrix of the estimators is given. The relativeefficiencies of moment estimators as compared with the maxi...Moment estimation for multivariate extreme value distribution is describedin this paper. Asymptotic covariance matrix of the estimators is given. The relativeefficiencies of moment estimators as compared with the maximum likelihood and thestepwise estimators are computed. We show that when there is strong dependencebetween the variates, the generalized variance of moment estimators is much lower thanthe stepwise estimators. It becomes more obvious when the dimension increases.展开更多
Abstract In this paper, the estimation method based on the “generalized profile likelihood” for the conditionally parametric models in the paper given by Severini and Wong (1992) is extended to fixed design semipara...Abstract In this paper, the estimation method based on the “generalized profile likelihood” for the conditionally parametric models in the paper given by Severini and Wong (1992) is extended to fixed design semiparametric nonlinear regression models.For these semiparametric nonlinear regression models,the resulting estimator of parametric component of the model is shown to be asymptotically efficient and the strong convergence rate of nonparametric component is investigated.Many results (for example Chen (1988),Gao & Zhao (1993), Rice (1986) et al.) are extended to fixed design semiparametric nonlinear regression models.展开更多
The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the mol...The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the molecular graphs.展开更多
This paper is concerned with the heteroscedastic regression model Y i=g(x i)+σ iei(1?i?n) under correlated errors e i, where it is assumed that σ i Emphasis>/2 =f(u i), the design points (x i, ui) are known and n...This paper is concerned with the heteroscedastic regression model Y i=g(x i)+σ iei(1?i?n) under correlated errors e i, where it is assumed that σ i Emphasis>/2 =f(u i), the design points (x i, ui) are known and nonrandom, and g and f are unknown functions. Assuming that unobserved disturbances e i are martingale differences. The strong uniform convergence rates and r-th moment uniform convergence rates of wavelet estimator of g are investigated. Also, the strong uniform convergence rates are discussed for wavelet estimator of f. MR Subject Classification 62G05 Keywords regression function - martingale difference error - wavelet estimator - uniform convergence rate Partially supported by the National Natural Science Foundation of China (10171079).展开更多
In this note it is shown that a necessary and sufficient condition for the existence of a P 3 factorization of complete multipartite graph λK n m is (1) m≥3, (2) mn≡0 (mod 3) and (3) λ(m-1)n≡0 ...In this note it is shown that a necessary and sufficient condition for the existence of a P 3 factorization of complete multipartite graph λK n m is (1) m≥3, (2) mn≡0 (mod 3) and (3) λ(m-1)n≡0 (mod 4).展开更多
Abstract This paper investigates the set partitioning containing kernels. This problem can also be considered as the identical machine scheduling problem with nonsimultaneous machine release times. That the algorithm ...Abstract This paper investigates the set partitioning containing kernels. This problem can also be considered as the identical machine scheduling problem with nonsimultaneous machine release times. That the algorithm MULTIFIT has a worst case bound of 6/5 is proved. Through combining MULTIFIT and LPT, an algorithm MULTILPT with a worst case bound of 7/6 has been obtained.展开更多
Let G be a graph and denote by Q(G)=D(G)+A(G),L(G)=D(G)-A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G, respectively.In this paper,some properties ...Let G be a graph and denote by Q(G)=D(G)+A(G),L(G)=D(G)-A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G, respectively.In this paper,some properties of the matrix Q(G) are studied.At the same time,a necessary and sufficient condition for the equality of the spectrum of Q(G) and L(G) is given.展开更多
Abstract A new class of functional equation in C 0(I) is investigated. It is proved that some class of FIF satisfies the functional equation. Another functional equation is constructed. Their solutions can approxi...Abstract A new class of functional equation in C 0(I) is investigated. It is proved that some class of FIF satisfies the functional equation. Another functional equation is constructed. Their solutions can approximate FIF arbitrarily. And a new approximate estimate between FIF and interpolated function is given.展开更多
This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotrop...This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic Sobolev spaces an existence result is proved.展开更多
This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coef...This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coefficient multipliers of G p (0<p<1) and A p (0<p≤1) into some analytic function spaces are given. MR Subject Classification 30D - 30H05 - 46E Keywords analytic function space - Hadamard product - multiplier - operator展开更多
A labeled graph is an ordered pair (G, L) consisting of a graph G and its labeling L: V(G) → {1, 2, ..., n}, where n=|V(G)|. An increasing nonconsecutive path in a labeled graph (G, L) is a path (u 1, u 2, ..., u k)...A labeled graph is an ordered pair (G, L) consisting of a graph G and its labeling L: V(G) → {1, 2, ..., n}, where n=|V(G)|. An increasing nonconsecutive path in a labeled graph (G, L) is a path (u 1, u 2, ..., u k), k≥1, in G such that L(u i)+1<L(u i+1) for all i=1, 2, ..., k?1. The total number of increasing nonconsecutive paths in (G, L) is denoted by d(G, L). The following open problem was proposed by Gargano, Lewinter and Malerba: obtaining a labeling L that produces the largest d(P n, L), where P n is a path of order n. Such a labeling is called optimal. The author have solved this problem. For each n ≥ 5 and for n=3, there are exactly four optimal labelings. Either of P 2, P 4 has exactly two optimal labelings. MR Subject Classification 05C38 Keywords labeled graph - increasing nonconsecutive paths展开更多
In this paper,a unified diagnostic method for linear models with random effects based upon the joint likelihood given by Robinson (in 1991) is presented.The case deletion model is equivalent to mean shift outlier mode...In this paper,a unified diagnostic method for linear models with random effects based upon the joint likelihood given by Robinson (in 1991) is presented.The case deletion model is equivalent to mean shift outlier model,as well as case weights model.From this point of view,several new diagnostic measures,such as Cook distance, WK diagnostics are derived.Some previous results are improved.Numerical examples illustrate the method is available.展开更多
Abstract A Halin map is a kind of planar maps oriented by a tree. In this paper the rooted halin maps with the vertex partition as parameters are enumerated such that a famous result on rooted trees due to Harary, Pri...Abstract A Halin map is a kind of planar maps oriented by a tree. In this paper the rooted halin maps with the vertex partition as parameters are enumerated such that a famous result on rooted trees due to Harary, Prins, and Tutte is deduced as a special case. Further, by using Lagrangian inversion to obtain a number of summation free formulae directly, the various kinds of rooted Halin maps with up to three parameters have been counted.展开更多
In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficien...In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. MR Subject Classification 35B40 - 35K55 Keywords nonnegative solution - blow up - nonlinear boundary conditions - parabolic system Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc).展开更多
Abstract In this paper,a quasidifferentiable programming problem with inequality constraints is considered.First,a general form of optimality conditions for this problem is given,which contains the results of Luderer,...Abstract In this paper,a quasidifferentiable programming problem with inequality constraints is considered.First,a general form of optimality conditions for this problem is given,which contains the results of Luderer,Kuntz and Scholtes.Next,a new generalized K T condition is derived.The new optimality condition doesnt use Luderers regularity assumption and its Lagrangian multipliers dont depend on the particular elements in the superdifferentials of the object function and constraint functions.Finally,a penalty function for the problem is studied.Sufficient conditions of the penalty function attaining a global minimum are obtained.展开更多
The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem ove...The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem over the domains can beimplemented on parallel computer. Convergence analysis is also presented.展开更多
In this paper, the minimal residual (MRES) method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, a...In this paper, the minimal residual (MRES) method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.展开更多
文摘Cancer disease is a deadliest disease cause more dangerous one.By identifying the disease through Artificial intelligence to getting the mage features directly from patients.This paper presents the lung knob division and disease characterization by proposing an enhancement calculation.Most of the machine learning techniques failed to observe the feature dimensions leads inaccuracy in feature selection and classification.This cause inaccuracy in sensitivity and specificity rate to reduce the identification accuracy.To resolve this problem,to propose a Chicken Sine Cosine Algorithm based Deep Belief Network to identify the disease factor.The general technique of the created approach includes four stages,such as pre-processing,segmentation,highlight extraction,and the order.From the outset,the Computerized Tomography(CT)image of the lung is taken care of to the division.When the division is done,the highlights are extricated through morphological factors for feature observation.By getting the features are analysed and the characterization is done dependent on the Deep Belief Network(DBN)which is prepared by utilizing the proposed Chicken-Sine Cosine Algorithm(CSCA)which distinguish the lung tumour,giving two classes in particular,knob or non-knob.The proposed system produce high performance as well compared to the other system.The presentation assessment of lung knob division and malignant growth grouping dependent on CSCA is figured utilizing three measurements to be specificity,precision,affectability,and the explicitness.
文摘The probabilities of the following events are first discussed in this paper: the insurance company survives to any fixed time k and the surplus at time k equals x≥1 . The formulas for calculating such probabilities are deduced through analytical and probabilistic arguments respectively. Finally, other probability laws relating to risk are determined based on the probabilities mentioned above.
文摘Moment estimation for multivariate extreme value distribution is describedin this paper. Asymptotic covariance matrix of the estimators is given. The relativeefficiencies of moment estimators as compared with the maximum likelihood and thestepwise estimators are computed. We show that when there is strong dependencebetween the variates, the generalized variance of moment estimators is much lower thanthe stepwise estimators. It becomes more obvious when the dimension increases.
文摘Abstract In this paper, the estimation method based on the “generalized profile likelihood” for the conditionally parametric models in the paper given by Severini and Wong (1992) is extended to fixed design semiparametric nonlinear regression models.For these semiparametric nonlinear regression models,the resulting estimator of parametric component of the model is shown to be asymptotically efficient and the strong convergence rate of nonparametric component is investigated.Many results (for example Chen (1988),Gao & Zhao (1993), Rice (1986) et al.) are extended to fixed design semiparametric nonlinear regression models.
文摘The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the molecular graphs.
基金Partially supported by the National Natural Science Foundation of China( 1 0 1 71 0 79)
文摘This paper is concerned with the heteroscedastic regression model Y i=g(x i)+σ iei(1?i?n) under correlated errors e i, where it is assumed that σ i Emphasis>/2 =f(u i), the design points (x i, ui) are known and nonrandom, and g and f are unknown functions. Assuming that unobserved disturbances e i are martingale differences. The strong uniform convergence rates and r-th moment uniform convergence rates of wavelet estimator of g are investigated. Also, the strong uniform convergence rates are discussed for wavelet estimator of f. MR Subject Classification 62G05 Keywords regression function - martingale difference error - wavelet estimator - uniform convergence rate Partially supported by the National Natural Science Foundation of China (10171079).
文摘In this note it is shown that a necessary and sufficient condition for the existence of a P 3 factorization of complete multipartite graph λK n m is (1) m≥3, (2) mn≡0 (mod 3) and (3) λ(m-1)n≡0 (mod 4).
文摘Abstract This paper investigates the set partitioning containing kernels. This problem can also be considered as the identical machine scheduling problem with nonsimultaneous machine release times. That the algorithm MULTIFIT has a worst case bound of 6/5 is proved. Through combining MULTIFIT and LPT, an algorithm MULTILPT with a worst case bound of 7/6 has been obtained.
文摘Let G be a graph and denote by Q(G)=D(G)+A(G),L(G)=D(G)-A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G, respectively.In this paper,some properties of the matrix Q(G) are studied.At the same time,a necessary and sufficient condition for the equality of the spectrum of Q(G) and L(G) is given.
文摘Abstract A new class of functional equation in C 0(I) is investigated. It is proved that some class of FIF satisfies the functional equation. Another functional equation is constructed. Their solutions can approximate FIF arbitrarily. And a new approximate estimate between FIF and interpolated function is given.
基金The project is supported by NNSF of China (10371116)
文摘This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic Sobolev spaces an existence result is proved.
文摘This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coefficient multipliers of G p (0<p<1) and A p (0<p≤1) into some analytic function spaces are given. MR Subject Classification 30D - 30H05 - 46E Keywords analytic function space - Hadamard product - multiplier - operator
文摘A labeled graph is an ordered pair (G, L) consisting of a graph G and its labeling L: V(G) → {1, 2, ..., n}, where n=|V(G)|. An increasing nonconsecutive path in a labeled graph (G, L) is a path (u 1, u 2, ..., u k), k≥1, in G such that L(u i)+1<L(u i+1) for all i=1, 2, ..., k?1. The total number of increasing nonconsecutive paths in (G, L) is denoted by d(G, L). The following open problem was proposed by Gargano, Lewinter and Malerba: obtaining a labeling L that produces the largest d(P n, L), where P n is a path of order n. Such a labeling is called optimal. The author have solved this problem. For each n ≥ 5 and for n=3, there are exactly four optimal labelings. Either of P 2, P 4 has exactly two optimal labelings. MR Subject Classification 05C38 Keywords labeled graph - increasing nonconsecutive paths
文摘In this paper,a unified diagnostic method for linear models with random effects based upon the joint likelihood given by Robinson (in 1991) is presented.The case deletion model is equivalent to mean shift outlier model,as well as case weights model.From this point of view,several new diagnostic measures,such as Cook distance, WK diagnostics are derived.Some previous results are improved.Numerical examples illustrate the method is available.
文摘Abstract A Halin map is a kind of planar maps oriented by a tree. In this paper the rooted halin maps with the vertex partition as parameters are enumerated such that a famous result on rooted trees due to Harary, Prins, and Tutte is deduced as a special case. Further, by using Lagrangian inversion to obtain a number of summation free formulae directly, the various kinds of rooted Halin maps with up to three parameters have been counted.
基金Supported by the Natural Science Foundation of the Education Department of Anhui Province( 2 0 0 1 kj0 38zc)
文摘In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. MR Subject Classification 35B40 - 35K55 Keywords nonnegative solution - blow up - nonlinear boundary conditions - parabolic system Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc).
文摘Abstract In this paper,a quasidifferentiable programming problem with inequality constraints is considered.First,a general form of optimality conditions for this problem is given,which contains the results of Luderer,Kuntz and Scholtes.Next,a new generalized K T condition is derived.The new optimality condition doesnt use Luderers regularity assumption and its Lagrangian multipliers dont depend on the particular elements in the superdifferentials of the object function and constraint functions.Finally,a penalty function for the problem is studied.Sufficient conditions of the penalty function attaining a global minimum are obtained.
文摘The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem over the domains can beimplemented on parallel computer. Convergence analysis is also presented.
文摘In this paper, the minimal residual (MRES) method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.