In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models a...In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models are estimated using this generalized model analytically and iteratively, and combined to a deformable registration algorithm. Experiments show that the affine parameter calculations derived from this quadratic model are more accurate than using a linear model. Experiments further indicate that the multi-affine deformable registration method can handle complex non-linear deformation fields necessary for deformable registration, and a faster convergent rate is verified from our comparison experiment.展开更多
The integrated electricity-heat-hydrogen system(IEHHS)facilitates the efficient utilization of multiple energy sources,while the operational flexibility of IEHHS is hindered by the high heat inertia of alkaline electr...The integrated electricity-heat-hydrogen system(IEHHS)facilitates the efficient utilization of multiple energy sources,while the operational flexibility of IEHHS is hindered by the high heat inertia of alkaline electrolyzers(AELs)and the variations of renewable energy.In this paper,we propose a robust scheduling of IEHHS considering the bidirectional heat exchange(BHE)between AELs and district heating networks(DHNs).First,we propose an IEHHS model to coordinate the operations of AELs,active distribution networks(ADNs),and DHNs.In particular,we propose a BHE that not only enables the waste heat recovery for district heating but also accelerates the thermal dynamics in AELs.Then,we formulate a two-stage robust optimization(RO)problem for the IEHHS operation to consider the variability of renewable energy in ADNs.We propose a new solution method,i.e.,multi-affine decision rule(MADR),to solve the two-stage RO problem with less conservatism.The simulation results show that the operational flexibility of IEHHS with BHE is remarkably improved compared with that only with unidirectional heat exchange(UHE).Compared with the traditional affine decision rule(ADR),the MADR effectively reduces the IEHHS operating costs while guaranteeing the reliability of scheduling strategies.展开更多
In a mathematical program with generalized complementarity constraints(MPGCC),complementarity relation is imposed between each pair of variable blocks.MPGCC includes the traditional mathematical program with complemen...In a mathematical program with generalized complementarity constraints(MPGCC),complementarity relation is imposed between each pair of variable blocks.MPGCC includes the traditional mathematical program with complementarity constraints(MPCC)as a special case.On account of the disjunctive feasible region,MPCC and MPGCC are generally difficult to handle.The l_(1)penalty method,often adopted in computation,opens a way of circumventing the difficulty.Yet it remains unclear about the exactness of the l_(1)penalty function,namely,whether there exists a sufficiently large penalty parameter so that the penalty problem shares the optimal solution set with the original one.In this paper,we consider a class of MPGCCs that are of multi-affine objective functions.This problem class finds applications in various fields,e.g.,the multi-marginal optimal transport problems in many-body quantum physics and the pricing problems in network transportation.We first provide an instance from this class,the exactness of whose l_(1)penalty function cannot be derived by existing tools.We then establish the exactness results under rather mild conditions.Our results cover those existing ones for MPCC and apply to multi-block contexts.展开更多
基金supported by the joint PhD Program of the China Scholarship Council(CSC)the US National Institutes of Health(NIH)(Nos.R01MH074794 and P41RR013218)the Na-tional Natural Science Foundation of China(No.60972102)
文摘In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models are estimated using this generalized model analytically and iteratively, and combined to a deformable registration algorithm. Experiments show that the affine parameter calculations derived from this quadratic model are more accurate than using a linear model. Experiments further indicate that the multi-affine deformable registration method can handle complex non-linear deformation fields necessary for deformable registration, and a faster convergent rate is verified from our comparison experiment.
基金supported by the Science and Technology Project of State Grid“Research and Application of Wide Area Multi energy Storage Collaborative Optimization and Control Technology in Provincial Power Grid”.
文摘The integrated electricity-heat-hydrogen system(IEHHS)facilitates the efficient utilization of multiple energy sources,while the operational flexibility of IEHHS is hindered by the high heat inertia of alkaline electrolyzers(AELs)and the variations of renewable energy.In this paper,we propose a robust scheduling of IEHHS considering the bidirectional heat exchange(BHE)between AELs and district heating networks(DHNs).First,we propose an IEHHS model to coordinate the operations of AELs,active distribution networks(ADNs),and DHNs.In particular,we propose a BHE that not only enables the waste heat recovery for district heating but also accelerates the thermal dynamics in AELs.Then,we formulate a two-stage robust optimization(RO)problem for the IEHHS operation to consider the variability of renewable energy in ADNs.We propose a new solution method,i.e.,multi-affine decision rule(MADR),to solve the two-stage RO problem with less conservatism.The simulation results show that the operational flexibility of IEHHS with BHE is remarkably improved compared with that only with unidirectional heat exchange(UHE).Compared with the traditional affine decision rule(ADR),the MADR effectively reduces the IEHHS operating costs while guaranteeing the reliability of scheduling strategies.
基金supported by the National Natural Science Foundation of China(12125108,11971466,11991021,11991020,12021001,and 12288201)Key Research Program of Frontier Sciences,Chinese Academy of Sciences(ZDBS-LY-7022)the CAS-Croucher Funding Scheme for Joint Laboratories“CAS AMSS-PolyU Joint Laboratory of Applied Mathematics:Nonlinear Optimization Theory,Algorithms and Applications”.
文摘In a mathematical program with generalized complementarity constraints(MPGCC),complementarity relation is imposed between each pair of variable blocks.MPGCC includes the traditional mathematical program with complementarity constraints(MPCC)as a special case.On account of the disjunctive feasible region,MPCC and MPGCC are generally difficult to handle.The l_(1)penalty method,often adopted in computation,opens a way of circumventing the difficulty.Yet it remains unclear about the exactness of the l_(1)penalty function,namely,whether there exists a sufficiently large penalty parameter so that the penalty problem shares the optimal solution set with the original one.In this paper,we consider a class of MPGCCs that are of multi-affine objective functions.This problem class finds applications in various fields,e.g.,the multi-marginal optimal transport problems in many-body quantum physics and the pricing problems in network transportation.We first provide an instance from this class,the exactness of whose l_(1)penalty function cannot be derived by existing tools.We then establish the exactness results under rather mild conditions.Our results cover those existing ones for MPCC and apply to multi-block contexts.
