Relerrlng to contlnuous-Ume claaotlc systems, tills paper presents a new projective syncnromzatlon scheme, wnlcn enables each drive system state to be synchronized with a linear combination of response system states f...Relerrlng to contlnuous-Ume claaotlc systems, tills paper presents a new projective syncnromzatlon scheme, wnlcn enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic （hyperchaotic） systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.展开更多
A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establ...A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establish three lemmas:normal corre-lation,equivalent pricing and equivalent profit,which can guarantee to turn our model into a model with insider knowing full information.Then we investigate the impact of the two correlated signals on the market equilibrium consisting of optimal insider trading strategy and semi-strong pricing rule.It shows that in the equilibrium,(1)the market depth is constant over time;(2)if the two noisy signals are not linerly correlated,then all private information of the insider is incorporated into prices in the end while the whole information on the asset value can not incorporated into prices in the end;(3)if the two noisy signals are linear correlated such that the insider can infer the whole information of the asset value,then our model turns into a model with insider knowing full information;(4)if the two noisy signals are the same then the total ex ant profit of the insider is increasing with the noise decreasing,while down to O as the noise going up to infinity;(5)if the two noisy signals are not linear correlated then with one noisy signal fixed,the total ex ante profit of the insider is single-peaked with a unique minimum with respect to the other noisy signal value,and furthermore as the noisy value going to O it gets its maximum,the profit in the case that the real value is observed.展开更多
基因变异间的相关性是全基因组关联分析等领域中的难点。当前基因变异间关系的研究主要基于基因在染色体上的相对位置展开,从另一个角度研究发现位于同一信号通路中的基因变异之间具有较强的因果性。基于单核苷酸多态(Single Nucleotide...基因变异间的相关性是全基因组关联分析等领域中的难点。当前基因变异间关系的研究主要基于基因在染色体上的相对位置展开,从另一个角度研究发现位于同一信号通路中的基因变异之间具有较强的因果性。基于单核苷酸多态(Single Nucleotide Polymorphisms,SNPs)数据对基因状态进行编码,得到离散型的基因变异状态数据;基于大量的基因变异数据构建基因间的因果贝叶斯网模型;用真实信号通路对基因变异数据上发现的因果贝叶斯网络进行验证。在WTCCC(Wellcome Trust Case Control Consortium)数据集上的实验结果表明,相互调控的基因之间的变异具有较强的因果关系。同时,实验也发现了一批具有较强因果关系的基因变异,可能对相关研究具有一定的启发意义。展开更多
文摘Relerrlng to contlnuous-Ume claaotlc systems, tills paper presents a new projective syncnromzatlon scheme, wnlcn enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic （hyperchaotic） systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.
文摘A model of continuous-time insider trading in which a risk-neutral in-sider possesses two imperfect correlated signals of a risky asset is studied.By conditional expectation theory and filtering theory,we first establish three lemmas:normal corre-lation,equivalent pricing and equivalent profit,which can guarantee to turn our model into a model with insider knowing full information.Then we investigate the impact of the two correlated signals on the market equilibrium consisting of optimal insider trading strategy and semi-strong pricing rule.It shows that in the equilibrium,(1)the market depth is constant over time;(2)if the two noisy signals are not linerly correlated,then all private information of the insider is incorporated into prices in the end while the whole information on the asset value can not incorporated into prices in the end;(3)if the two noisy signals are linear correlated such that the insider can infer the whole information of the asset value,then our model turns into a model with insider knowing full information;(4)if the two noisy signals are the same then the total ex ant profit of the insider is increasing with the noise decreasing,while down to O as the noise going up to infinity;(5)if the two noisy signals are not linear correlated then with one noisy signal fixed,the total ex ante profit of the insider is single-peaked with a unique minimum with respect to the other noisy signal value,and furthermore as the noisy value going to O it gets its maximum,the profit in the case that the real value is observed.
文摘基因变异间的相关性是全基因组关联分析等领域中的难点。当前基因变异间关系的研究主要基于基因在染色体上的相对位置展开,从另一个角度研究发现位于同一信号通路中的基因变异之间具有较强的因果性。基于单核苷酸多态(Single Nucleotide Polymorphisms,SNPs)数据对基因状态进行编码,得到离散型的基因变异状态数据;基于大量的基因变异数据构建基因间的因果贝叶斯网模型;用真实信号通路对基因变异数据上发现的因果贝叶斯网络进行验证。在WTCCC(Wellcome Trust Case Control Consortium)数据集上的实验结果表明,相互调控的基因之间的变异具有较强的因果关系。同时,实验也发现了一批具有较强因果关系的基因变异,可能对相关研究具有一定的启发意义。
