In the post-genomic era, the construction and control of genetic regulatory networks using gene expression data is a hot research topic. Boolean networks (BNs) and its extension Probabilistic Boolean Networks (PBNs) h...In the post-genomic era, the construction and control of genetic regulatory networks using gene expression data is a hot research topic. Boolean networks (BNs) and its extension Probabilistic Boolean Networks (PBNs) have been served as an effective tool for this purpose. However, PBNs are difficult to be used in practice when the number of genes is large because of the huge computational cost. In this paper, we propose a simplified multivariate Markov model for approximating a PBN The new model can preserve the strength of PBNs, the ability to capture the inter-dependence of the genes in the network, qnd at the same time reduce the complexity of the network and therefore the computational cost. We then present an optimal control model with hard constraints for the purpose of control/intervention of a genetic regulatory network. Numerical experimental examples based on the yeast data are given to demonstrate the effectiveness of our proposed model and control policy.展开更多
信息技术的快速发展,为交通研究和城市交通管理提供了大规模、多样化的数据资源,并为城市交通状态估计和交通流预测方法的研究提供了有力支持。将城市交叉口视为一个微观交通系统,采用数据驱动与领域知识结合的方式,建立微观层次的交通...信息技术的快速发展,为交通研究和城市交通管理提供了大规模、多样化的数据资源,并为城市交通状态估计和交通流预测方法的研究提供了有力支持。将城市交叉口视为一个微观交通系统,采用数据驱动与领域知识结合的方式,建立微观层次的交通因子状态网络模型(Traffic Factor State Network, TFSN),考察交通因素之间的相互关联,并考虑环境因素的影响。该模型结合交通因子和环境影响因子的影响,通过对交通流数据进行聚类分析,估算出对应于环境影响因子的交通状态,并通过实际案例验证其物理意义以及与交通流实际状态的对应关系。进一步地,基于不同交通状态下的交通流数据建立高阶多元马尔可夫链,进行交通流预测,并根据交通流时间序列的聚类性能指标提高模型的预测准确性。对数据序列马氏性强弱、马尔可夫模型阶数与模型预测准确性之间关系进行分析。研究结果表明:根据马氏性合理选择马尔可夫模型的阶数可以提升模型预测准确性;直接对原始交通流数据进行预测的平均绝对百分比误差为24.61%,而不同交通状态下交通流预测的平均绝对百分比误差为16.99%,相比直接预测误差下降了7.62%,验证了所提出的微观交通因子状态网络的有效性和可用性。展开更多
文摘In the post-genomic era, the construction and control of genetic regulatory networks using gene expression data is a hot research topic. Boolean networks (BNs) and its extension Probabilistic Boolean Networks (PBNs) have been served as an effective tool for this purpose. However, PBNs are difficult to be used in practice when the number of genes is large because of the huge computational cost. In this paper, we propose a simplified multivariate Markov model for approximating a PBN The new model can preserve the strength of PBNs, the ability to capture the inter-dependence of the genes in the network, qnd at the same time reduce the complexity of the network and therefore the computational cost. We then present an optimal control model with hard constraints for the purpose of control/intervention of a genetic regulatory network. Numerical experimental examples based on the yeast data are given to demonstrate the effectiveness of our proposed model and control policy.
文摘信息技术的快速发展,为交通研究和城市交通管理提供了大规模、多样化的数据资源,并为城市交通状态估计和交通流预测方法的研究提供了有力支持。将城市交叉口视为一个微观交通系统,采用数据驱动与领域知识结合的方式,建立微观层次的交通因子状态网络模型(Traffic Factor State Network, TFSN),考察交通因素之间的相互关联,并考虑环境因素的影响。该模型结合交通因子和环境影响因子的影响,通过对交通流数据进行聚类分析,估算出对应于环境影响因子的交通状态,并通过实际案例验证其物理意义以及与交通流实际状态的对应关系。进一步地,基于不同交通状态下的交通流数据建立高阶多元马尔可夫链,进行交通流预测,并根据交通流时间序列的聚类性能指标提高模型的预测准确性。对数据序列马氏性强弱、马尔可夫模型阶数与模型预测准确性之间关系进行分析。研究结果表明:根据马氏性合理选择马尔可夫模型的阶数可以提升模型预测准确性;直接对原始交通流数据进行预测的平均绝对百分比误差为24.61%,而不同交通状态下交通流预测的平均绝对百分比误差为16.99%,相比直接预测误差下降了7.62%,验证了所提出的微观交通因子状态网络的有效性和可用性。
