In this paper,the distributed stochastic model predictive control(MPC)is proposed for the noncooperative game problem of the discrete-time multi-player systems(MPSs)with the undirected Markov jump graph.To reflect the...In this paper,the distributed stochastic model predictive control(MPC)is proposed for the noncooperative game problem of the discrete-time multi-player systems(MPSs)with the undirected Markov jump graph.To reflect the reality,the state and input constraints have been considered along with the external disturbances.An iterative algorithm is designed such that model predictive noncooperative game could converge to the socalledε-Nash equilibrium in a distributed manner.Sufficient conditions are established to guarantee the convergence of the proposed algorithm.In addition,a set of easy-to-check conditions are provided to ensure the mean-square uniform bounded stability of the underlying MPSs.Finally,a numerical example on a group of spacecrafts is studied to verify the effectiveness of the proposed method.展开更多
In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-p...In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-parity state ｜ψσ〉. It is interesting to find that the parity non-conserved reflective MPS pair have no long-range correlations; instead the even-parity state ｜ψe〉 and the odd-parity state ｜ψo〉 constructed from them have the same long-range correlations for the parity non-conserved block operators. Moreover, the entanglement between a block of n contiguous spins and the rest of the spin chain for the states ｜ψe〉 and ｜ψo〉 is larger than that for the reflective MPS pair except for n = 1, and the difference of them approaches 1 monotonically and asymptotically from 0 as n increases from 1. These characteristics indicate that MPS parity as a conserved physical quantity represents a kind of coherent collective quantum mode, and that the parity conserved MPSs contain more correlation, coherence, and entanglement than the parity non-conserved ones.展开更多
High-throughput technologies were employed over the past decade to study the expression profiles of cells and tissues.There are large collections of accumulated data from public databases and numerous research article...High-throughput technologies were employed over the past decade to study the expression profiles of cells and tissues.There are large collections of accumulated data from public databases and numerous research articles were published on these data.In the current study,we performed meta-analysis on the gene expression data from human liver and kidney tissues produced from five different technologies:EST,SAGE,MPSS,microarray,and RNA-Seq.We found RNA-Seq was the most sensitive in the number of genes it detected while SAGE and MPSS were the least sensitive.For the genes detected by all the platforms,there were generally good correlations to the measured expression levels of corresponding genes.We further compared detected genes to liver/kidney proteomics data from the Human Protein Atlas,and found 960 of the 8764 genes only detected by RNA-Seq were validated by proteomics results.In conclusion,RNA-Seq is a more sensitive and consistent technology compared to the other four high-throughput platforms,though their results are in general agreement.Average coverage was determined to be the preferred measurement to represent gene expression levels by RNA-Seq data and will be used in future works.展开更多
Data envelopment analysis has been successfully used in resource allocation problems.However,to the best of our knowledge,there are no allocation models proposed in the literature that simultaneously take both the glo...Data envelopment analysis has been successfully used in resource allocation problems.However,to the best of our knowledge,there are no allocation models proposed in the literature that simultaneously take both the global efficiency and growing potential into account.Hence,this research aims at developing an allocation model for extra input resources,which maximizes the global technical efficiency and scale efficiency of a decision-making unit(DMU)set while maintaining the pure technical efficiency(i.e.,growing potential)of each DMU.To this purpose,we first discuss the optimal resources required by each DMU.We prove that the optimal inputs for the DMU are actually the inputs of some most productive scale size(MPSS).We then propose the allocation model based on the discussion on the case of one DMU.The allocation model is illustrated using two numerical examples.展开更多
基金This work was supported by the National Natural Science Foundation of China(62122063,62073268,U22B2036,11931015)the Young Star of Science and Technology in Shaanxi Province(2020KJXX-078)+1 种基金the National Science Fund for Distinguished Young Scholars(62025602)the XPLORER PRIZE。
文摘In this paper,the distributed stochastic model predictive control(MPC)is proposed for the noncooperative game problem of the discrete-time multi-player systems(MPSs)with the undirected Markov jump graph.To reflect the reality,the state and input constraints have been considered along with the external disturbances.An iterative algorithm is designed such that model predictive noncooperative game could converge to the socalledε-Nash equilibrium in a distributed manner.Sufficient conditions are established to guarantee the convergence of the proposed algorithm.In addition,a set of easy-to-check conditions are provided to ensure the mean-square uniform bounded stability of the underlying MPSs.Finally,a numerical example on a group of spacecrafts is studied to verify the effectiveness of the proposed method.
基金Supported by the Scientific Research Foundation of CUIT under Grant No.KYTZ201024the National Natural Science Foundation of China under Grant Nos.10775100,10974137 the Fund of Theoretical Nuclear Center of HIRFL of China
文摘In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-parity state ｜ψσ〉. It is interesting to find that the parity non-conserved reflective MPS pair have no long-range correlations; instead the even-parity state ｜ψe〉 and the odd-parity state ｜ψo〉 constructed from them have the same long-range correlations for the parity non-conserved block operators. Moreover, the entanglement between a block of n contiguous spins and the rest of the spin chain for the states ｜ψe〉 and ｜ψo〉 is larger than that for the reflective MPS pair except for n = 1, and the difference of them approaches 1 monotonically and asymptotically from 0 as n increases from 1. These characteristics indicate that MPS parity as a conserved physical quantity represents a kind of coherent collective quantum mode, and that the parity conserved MPSs contain more correlation, coherence, and entanglement than the parity non-conserved ones.
基金supported by National Basic Research Program of China(2012CB316501 and 2012CB517900)the National Natural Science Foundation of China(90913009)+1 种基金Shanghai Pujiang Scholarship Program(10PJ1408000)the support of SA-SIBS Scholarship Program
文摘High-throughput technologies were employed over the past decade to study the expression profiles of cells and tissues.There are large collections of accumulated data from public databases and numerous research articles were published on these data.In the current study,we performed meta-analysis on the gene expression data from human liver and kidney tissues produced from five different technologies:EST,SAGE,MPSS,microarray,and RNA-Seq.We found RNA-Seq was the most sensitive in the number of genes it detected while SAGE and MPSS were the least sensitive.For the genes detected by all the platforms,there were generally good correlations to the measured expression levels of corresponding genes.We further compared detected genes to liver/kidney proteomics data from the Human Protein Atlas,and found 960 of the 8764 genes only detected by RNA-Seq were validated by proteomics results.In conclusion,RNA-Seq is a more sensitive and consistent technology compared to the other four high-throughput platforms,though their results are in general agreement.Average coverage was determined to be the preferred measurement to represent gene expression levels by RNA-Seq data and will be used in future works.
文摘Data envelopment analysis has been successfully used in resource allocation problems.However,to the best of our knowledge,there are no allocation models proposed in the literature that simultaneously take both the global efficiency and growing potential into account.Hence,this research aims at developing an allocation model for extra input resources,which maximizes the global technical efficiency and scale efficiency of a decision-making unit(DMU)set while maintaining the pure technical efficiency(i.e.,growing potential)of each DMU.To this purpose,we first discuss the optimal resources required by each DMU.We prove that the optimal inputs for the DMU are actually the inputs of some most productive scale size(MPSS).We then propose the allocation model based on the discussion on the case of one DMU.The allocation model is illustrated using two numerical examples.
