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The order of accuracy related to the error from source approximation in the method of characteristics for purely absorbing materials in planar geometry 认领 引用
1
作者 Ji-Pu Wang Zhen-Wen Wei +5 位作者 Can Huang William Martin Brendan Kochunas Qi-Cang Shen Si-Juan Chen Martin Pilch 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2026年第6期257-270,共14页
The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)app... The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)approximation is the most commonly used approach,whereas the linear source(LS)approximation enhances the accuracy by preserving the higherorder spatial moments of the neutron source.However,determining the order of accuracy(OoA)for spatial discretization in the MoC is challenging,particularly for the LS approximation.This complexity arises because MoC employs two spatial meshes:the fission source region(FSR)mesh and a set of characteristic rays used to integrate the transport equation over the FSR mesh.In this study,we analyzed the spatial order of accuracy of the MoC in planar geometry for both FS and LS approximations in relation to the distributed source.Our theoretical predictions are consistent with the numerical results obtained using the Method of Manufactured Solutions(MMS).The results demonstrate that the FS approximation achieves second-order accuracy,whereas the LS approximation attains fourth-order accuracy. 展开更多
关键词 Method of characteristics Order of accuracy Flat source approximation Linear source approximation Method of manufactured solutions
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Improved probabilistic seismic AVO inversion constrained by instantaneous phase using quadratic PP-reflectivity approximation and IA2RMS-Gibbs algorithm 认领 引用
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作者 Shuang-Shuang Zhou Xing-Yao Yin +1 位作者 Kun Li Ya-Ming Yang 《Petroleum Science》 SCIE EI CAS CSCD 2026年第1期127-142,共16页
Seismic amplitude variation with offset(AVO)inversion is a cornerstone of oil and gas reservoir prediction,enabling the estimation of subsurface elastic parameters and characterization of stratigraphic interfaces.Howe... Seismic amplitude variation with offset(AVO)inversion is a cornerstone of oil and gas reservoir prediction,enabling the estimation of subsurface elastic parameters and characterization of stratigraphic interfaces.However,balancing inversion accuracy and computational efficiency remains a critical challenge.To address this,we propose a novel probabilistic AVO inversion framework integrating three key innovations.First,we derive a high-precision quadratic approximation for compressional(P-wave)reflectivity by retaining first-and second-order terms from the exact Zoeppritz equations through a perturbation strategy.This approach significantly enhances accuracy compared to conventional linear approximations,particularly in reflecting the true amplitude variation at large angles.Subsequently,to improve lateral continuity and stratigraphic resolution,we introduce an instantaneous phase constraint derived via the Hilbert transform.This constraint leverages phase sensitivity to seismic waveform coherence,ensuring geologically consistent interface characterization during stochastic inversion.Furthermore,we develop a hybrid Markov Chain Monte Carlo(MCMC)algorithm combining adaptive Gibbs sampling with the independent doubly adaptive rejection Metropolis sampling(IA2RMS)method.This framework efficiently samples high-dimensional posterior probability density functions(PDFs)of elastic pa rameters:Gibbs sampling gene rates adaptive proposal distributions,while IA2RMS accele rates Markov chain convergence through location-and scale-adjustable proposals.Numerical experiments and field seismic data demonstrate the robustness and feasibility of the proposed probabilistic AVO inversion method. 展开更多
关键词 Quadratic approximation Instantaneous phase constraint Gibbs sampling Independent doubly adaptive rejection metropolis sampling(IA2RMS) Probability density functions(PDFs)
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HYDROSTATIC APPROXIMATION OF THE NAVIER-STOKES-ALPHA MODEL IN A THIN STRIP 认领 引用
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作者 Léo GLANGETAS Van-Sang NGO El Mehdi SAID 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1287-1323,共37页
In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha(NS-α)small initial data in appropriate analytic function spaces.We also justify this approximation by proving the convergence of the Nav... In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha(NS-α)small initial data in appropriate analytic function spaces.We also justify this approximation by proving the convergence of the Navier-Stokes-alpha system towards its hydrostatic limit. 展开更多
关键词 Navier-Stokes-αmodel hydrostatic approximation analyticity
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Improved branched multi-point approximation method and its application in spacecraft topology optimization 认领 引用
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作者 Shuanjun LIU Hai HUANG +1 位作者 Pengcheng WANG Weipeng LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第3期431-446,共16页
The Branched Multi-point Approximation(BMA)method holds immense potential in tackling topology optimization challenges involving discrete variables.This research focuses on enhancing the adaptability,approximation eff... The Branched Multi-point Approximation(BMA)method holds immense potential in tackling topology optimization challenges involving discrete variables.This research focuses on enhancing the adaptability,approximation efficiency and engineering application of the method.Four key advancements are presented below.Firstly,an adjusted BMA function is introduced,which comprehensively incorporates the topologies of known and current points,utilizing topological difference between them as the foundation for function segmentation.This function further mitigates singularities as continuous variables approach zero,and is verified for its approximation capability through randomized numerical simulations.Secondly,the concept of adjacent individuals is proposed to ensure that the topological disparities between the current point and current optimal solution remain within manageable limits.This approach prevents approximation failures while maintaining the diversity of the population generated by genetic algorithm.Thirdly,for optimizing continuous variable in complex problems,an improved separable-variable approximation is formulated to ensure strong duality validity.Finally,an adaptive technique for move limit of the retained continuous variables is established.Benchmark examples demonstrate the effectiveness of the improved method in iterations and optimal results.Optimization systems capable of performing topology optimization for spacecraft such as stiffened satellite and carrier rocket have been rare in prior research. 展开更多
关键词 Adaptive technique Adjacent individual Branched multi-point approximation Spacecraft Topology optimization
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Application of the Elliptic Approximation Model to the Near-Inertial Energy of the Ocean 认领 引用
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作者 XUN Hao XIAO Xin ZHOU Chun 《Journal of Ocean University of China》 SCIE CAS CSCD 2026年第4期1184-1190,共7页
Understanding spatiotemporal structures in ocean dynamic processes is critical for characterizing energy cascades that govern global heat redistribution,biogeochemical cycling,and climate variability.Multiscale oceani... Understanding spatiotemporal structures in ocean dynamic processes is critical for characterizing energy cascades that govern global heat redistribution,biogeochemical cycling,and climate variability.Multiscale oceanic dynamical processes exhibit intricate three-dimensional spatial structures and temporal variability.The comprehensive characterization of the dynamical signatures of the ocean remains challenging because of the spatiotemporal sparsity of ocean observations.The elliptical approximation(EA)model provides a generalized framework for representing spatiotemporal correlations by incorporating the mean advection and sweeping effects of shear currents,enabling spatiotemporal transformation.However,the applicability of the EA model to characterize spatiotemporal correlations has not been directly extended to ocean dynamics.In this study,we apply the EA model to analyze the vertical propagation characteristics of near-inertial internal waves(NIWs)in the Beaufort Sea,where NIWs dominate the energy spectrum.Analysis of high-resolution velocity time series shows that the sweeping velocity magnitude,which quantifies the energy associated with large-scale wave-induced advection of small-scale structures,is strongly correlated(a significant correlation exceeding 0.7)with local near-inertial energy levels.The directional components of the sweeping velocity are consistently aligned with the vertical propagation direction of near-inertial wave packets,indicating a robust link between the EA model parameters and near-inertial energy transport mechanisms.The results further reveal that elevated near-inertial energy levels indicate an intensified vertical propagation of NIWs.These findings validate the reliability of the EA model in shear-dominated oceanic environments and advance our quantitative understanding of the vertical propagation characteristics of NIWs.Moreover,the model is a potential diagnostic framework for systematically analyzing intricate spatiotemporal variability in other multiscale ocean dynamics and energy cascades. 展开更多
关键词 elliptic approximation model near-inertial internal waves spatiotemporal correlations
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Research on heuristic approximation algorithm of the densest k-subgraph discovery in large-scale dynamic graphs 认领 引用
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作者 HAN Tao TIAN Yuxi +1 位作者 ZHAO Jianwei WANG Senzhang 《Journal of Southeast University(English Edition)》 EI CAS 2026年第1期74-79,共6页
To address the issue that static densest subgraph mining algorithms often exhibit low efficiency when handling large scale dynamic graphs,this paper proposes a heuristic approximation algorithm.The algorithm approxima... To address the issue that static densest subgraph mining algorithms often exhibit low efficiency when handling large scale dynamic graphs,this paper proposes a heuristic approximation algorithm.The algorithm approximates the densest k-subgraphs of the entire graph through four steps:partitioning the large-scale dynamic graph,constructing a partial set of the densest k-subgraphs,heuristically merging the subgraph sets,and finally extracting the densest k-subgraphs.This approach significantly reduces the computational time for large-scale dynamic graphs while simultaneously improving the quality of the resulting subgraphs.This algorithm is applicable to various definitions of“density”and can accommodate diverse requirements on the number of edges.When integrated with existing static densest subgraph detection algorithms,it achieves scalability and computational efficiency.Theoretical analysis demonstrates that the optimal density of the densest k-subgraphs extracted by the proposed algorithm reaches 0.9.To evaluate the performance of the algorithm,experiments were conducted on four billion-scale datasets:Friendster,Orkut,YouTube,and DBLP.The results indicate that the proposed algorithm outperforms static methods in both runtime efficiency and subgraph quality on large-scale dynamic graphs. 展开更多
关键词 the densest k-subgraph features heuristic approximation algorithm optimal density
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Electron impact ionization of neon and neonic ions under distorted-wave Born approximation 认领 引用
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作者 周丽霞 燕友果 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第5期249-252,共4页
The （e, 2e） triple differential cross sections of 2s orbitals of neon and neonic ions （Z = 11-14） are calculated using a distorted-wave Born approximation under coplanar asymmetric geometry. The calculated results... The （e, 2e） triple differential cross sections of 2s orbitals of neon and neonic ions （Z = 11-14） are calculated using a distorted-wave Born approximation under coplanar asymmetric geometry. The calculated results show that, with the increase in the nuclear charge number Z, the amplitude of triple differential cross sections decreases. The angle difference between the binary peak position and the direction of momentum transfer gradually increases with the increase in the nuclear charge Z, and a new structure appears at an ejected angle 90° 〈 θ2 〈 120°. Three kinds of collision processes are proposed to illustrate the formation mechanism of such collision peaks. 展开更多
关键词 （e 2e） reaction distorted-wave Born approximation triple differential cross sections
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FINITE ELEMENT METHOD WITH GRUNWALD-LETNIKOV TYPE APPROXIMATION IN TIME FOR A CONSTANT TIME DELAY SUBDIFFUSION EQUATION 认领 引用
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作者 Weiping Bu Xueqin Zhang +1 位作者 Weizhi Liao Yue Zhao 《Journal of Computational Mathematics》 SCIE CSCD 2026年第6期1683-1708,共26页
In this work,a subdiffusion equation with constant time delayτis considered.First,the regularity of the solution to the considered problem is investigated,finding that its first-order time derivative exhibits singula... In this work,a subdiffusion equation with constant time delayτis considered.First,the regularity of the solution to the considered problem is investigated,finding that its first-order time derivative exhibits singularity at t=0+and its second-order time derivative shows singularity at both t=0+andτ+,while the solution can be decomposed into its singular and regular components.Then,we derive a fully discrete finite element scheme to solve the considered problem based on the standard Galerkin finite element method in space and the Grünwald-Letnikov type approximation in time.The analysis shows that the developed numerical scheme is stable.In order to discuss the error estimate,a new discrete Grönwall inequality is established.Under the above decomposition of the solution,we obtain a local error estimate in time for the developed numerical scheme.Finally,some numerical tests are provided to support our theoretical analysis. 展开更多
关键词 Subdiffusion Equation with Constant Time Delay Finite Element Method Grün-wald-Letnikov Type Approximation Discrete Grönwall Inequality Error Estimate
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Optimal convex approximations of qubit states based on l1-norm of coherence 认领 引用
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作者 Li-Qiang Zhang Yan-Dong Du Chang-Shui Yu 《Chinese Physics B》 SCIE EI CAS CSCD 2025年第8期475-491,共17页
Determining the minimal distance between the target state and the convex combination of given states is a fundamental problem in quantum resource theory,offering critical guidance for experimental implementations.In t... Determining the minimal distance between the target state and the convex combination of given states is a fundamental problem in quantum resource theory,offering critical guidance for experimental implementations.In this paper,we embark on an in-depth exploration of the use of a quantum state prepared by the convex combination of given qubit states to optimally approximate the l1-norm of coherence of the target quantum state,striving to make the prepared state and the target state as similar as possible.Here,we present the analytical solution for the optimal distance for any N given quantum states.We find that the optimal approximation problem for any N>4 quantum states can be transformed into an optimal approximation problem for no more than four quantum states,which not only significantly streamlines the problem but also proves advantageous for laboratories in terms of material conservation.Ultimately,a one-to-one comparison between the analytical and numerical solutions verifies the effectiveness of our approach. 展开更多
关键词 quantum information processing quantum resource theory quantum coherence optimal convex approximations
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Multi-Interval-Aggregation Failure Point Approximation for Remaining Useful Life Prediction 认领 引用
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作者 Linchuan Fan Xiaolong Chen +1 位作者 Shuo Li Yi Chai 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2025年第3期639-641,共3页
Dear Editor,This letter focuses on the remaining useful life(RUL)prediction task under limited labeled samples.Existing machine-learning-based RUL prediction methods for this task usually pay attention to mining degra... Dear Editor,This letter focuses on the remaining useful life(RUL)prediction task under limited labeled samples.Existing machine-learning-based RUL prediction methods for this task usually pay attention to mining degradation information to improve the prediction accuracy of degradation value or health indicator for the next epoch.However,they ignore the cumulative prediction error caused by iterations before reaching the failure point. 展开更多
关键词 remaining useful life prediction failure point degradation value health indicator multi interval aggregation failure point approximation machine learning based mining degradation information
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Fast Ion Gates without the Lamb-Dicke Approximation by Robust Quantum Optimal Control 认领 引用
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作者 Ran Liu Xiaodong Yang +2 位作者 Yiheng Lin Yao Lu Jun Li 《Chinese Physics Letters》 SCIE EI CAS CSCD 2025年第8期75-82,共8页
We present a robust quantum optimal control framework for implementing fast entangling gates on ion-trap quantum processors.The framework leverages tailored laser pulses to drive the multiple vibrational sidebands of ... We present a robust quantum optimal control framework for implementing fast entangling gates on ion-trap quantum processors.The framework leverages tailored laser pulses to drive the multiple vibrational sidebands of the ions to create phonon-mediated entangling gates and,unlike the state of the art,requires neither weakcoupling Lamb-Dicke approximation nor perturbation treatment.With the application of gradient-based optimal control,it enables finding amplitude-and phase-modulated laser control protocols that work without the Lamb-Dicke approximation,promising gate speeds on the order of microseconds comparable to the characteristic trap frequencies.Also,robustness requirements on the temperature of the ions and initial optical phase can be conveniently included to pursue high-quality fast gates against experimental imperfections.Our approach represents a step in speeding up quantum gates to achieve larger quantum circuits for quantum computation and simulation,and thus can find applications in near-future experiments. 展开更多
关键词 quantum optimal control framework gradient based optimal control quantum computation Lamb Dicke approximation fast ion gates tailored laser pulses entangling gates robust quantum optimal control
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An Approximation Method for Singular Trudinger-Moser Inequality 认领 引用
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作者 ZHU Maochun XU Wenyan JIANG Rou 《应用数学》 北大核心 2025年第1期64-70,共7页
In this paper,we construct a power type functional which is the approximation functional of the Singular Trudinger-Moser functional.Moreover,we obtain the concentration level of the functional and show it converges to... In this paper,we construct a power type functional which is the approximation functional of the Singular Trudinger-Moser functional.Moreover,we obtain the concentration level of the functional and show it converges to the concentration level of singular Trudinger-Moser functional on the unit ball. 展开更多
关键词 Singular Trudinger-Moser inequality Approximation functional Concentration level
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Statistical analysis on the validity of the cold plasma approximation for chorus waves based on Van Allen Probe observations and their effects on radiation belt electrons 认领 引用 被引量：1
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作者 AoJun Ren Jiang Yu +2 位作者 Jing Wang ZuZheng Chen XiaoMan Liu 《Earth and Planetary Physics》 EI CSCD 2025年第1期159-170,共12页
Theoretical analysis has demonstrated that the dispersion relation of chorus waves plays an essential role in the resonant interaction and energy transformation between the waves and magnetospheric electrons.Previous ... Theoretical analysis has demonstrated that the dispersion relation of chorus waves plays an essential role in the resonant interaction and energy transformation between the waves and magnetospheric electrons.Previous quantitative analyses often simplified the chorus dispersion relation by using the cold plasma assumption.However,the applicability of the cold plasma assumption is doubtful,especially during geomagnetic disturbances.We here present a systematic statistical analysis on the validity of the cold plasma dispersion relation of chorus waves based on observations from the Van Allen Probes over the period from 2012 to 2018.The statistical results show that the observed magnetic field intensities deviate substantially from those calculated from the cold plasma dispersion relation and that they become more pronounced with an increase in geomagnetic activity or a decrease in background plasma density.The region with large deviations is mainly concentrated in the nightside and expands in both the radial and azimuthal directions as the geomagnetic activity increases or the background plasma density decreases.In addition,the bounce-averaged electron scattering rates are computed by using the observed and cold plasma dispersion relation of chorus waves.Compared with usage of the cold plasma dispersion relation,usage of the observed dispersion relation considerably lowers the minimum resonant energy of electrons and lowers the scattering rates of electrons above tens of kiloelectronvolts but enhances those below.Furthermore,these differences are more pronounced with the enhancement of geomagnetic activity or the decrease in background plasma density. 展开更多
关键词 chorus waves cold plasma approximation dispersion relations scattering rates
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A new oolitic content test method for green sand by repeated approximation 认领 引用 被引量：1
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作者 Yu-yang Qi Jian-xin Zhou +6 位作者 Xin Peng Si-yuan Pan Ya-jun Yin Xiao-yuan Ji Yuan-cai Li Peng-fei Lin Peng Wan 《China Foundry》 SCIE EI CAS CSCD 2025年第6期701-709,共9页
The reuse of green sand in casting production is hindered by the accumulation of oolitic deposits,primarily composed of clay binder with surface degradation,which may adversely affect the the moulding sand performance... The reuse of green sand in casting production is hindered by the accumulation of oolitic deposits,primarily composed of clay binder with surface degradation,which may adversely affect the the moulding sand performance.Currently,there is a lack of standardized methods for quantifying the oolitic content.Accurate measurement of oolitic content is of great significance to the reuse of green sand.Attempts to determine oolitic content using potassium hydroxide(KOH)and phosphoric acid(H3PO4)methods encounter challenges due to their excessive reactions with SiO2 in the sand.In this study,an improved method for measuring the oolitic content of green sand with repeated approximations was proposed.This method judges the chemical activity of the sample surface through the change of its mass to accurately obtain the mass of the reaction oolitic deposits.The test result of the used sand samples from the foundry shows that the oolitic deposits are completely removed after reacting with KOH solution three times at 300℃ for 20 min.SEM and EDS also show that after three times of reactions,the surface of green sand becomes smooth and the content of Al-containing oolitic deposits is very low.This indicates that the method can accurately control the extent of the reaction.Implementation of this method at Huangshi Dongbei Casting Co.,Ltd.has yielded consistent and reliable test results,effectively mirroring variations in green sand oolitic content on the production line.This new method is expected to be widely adopted to improve the efficiency and quality of reused green sand in casting operations. 展开更多
关键词 green sand oolitic content repeated approximation reuse of green sand
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Adaptive polynomial approximation-based virtual coupled cooperative control for high-speed trains 认领 引用
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作者 Kai-Xiang Wang Ming-Yue Ren +1 位作者 Qian-Ling Wang Xue Lin 《Chinese Physics B》 SCIE EI CAS CSCD 2025年第10期589-596,共8页
Virtual coupling is a novel technology that enables trains to run closely together without physical connections through communication and automation systems.The paper addresses an adaptive polynomial approximation alg... Virtual coupling is a novel technology that enables trains to run closely together without physical connections through communication and automation systems.The paper addresses an adaptive polynomial approximation algorithm for the cooperative control of high-speed trains(HSTs)under virtual coupling.It aims to solve the cooperative tracking control problem of HST formation operations under various scenarios,including known and unknown parameters.To enable the HST formation system to achieve cooperative operation while ensuring an appropriate spacing distance,the tracking errors of displacement and speed throughout the entire operation converge to zero.The proposed control strategy focuses on adopting polynomial approximation to handle unknown parameters,which are estimated via adaptive laws.Additionally,the unknown parameters of the HSTs are estimated online through adaptive laws.Experimental results verify the effectiveness of this method. 展开更多
关键词 high-speed trains(HSTs) cooperative operation adaptive polynomial approximation virtual coupling
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On approximation of Bernstein-Stancu operators in movable interval 认领 引用
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作者 WAGN Feng-feng YU Dan-sheng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2025年第1期85-101,共17页
In the present paper,we obtain the converse results of approximation of a newly introduced genuine Bernstein-Durrmeyer operators in movable interval.We also get the moments properties of an auxiliary operator which ha... In the present paper,we obtain the converse results of approximation of a newly introduced genuine Bernstein-Durrmeyer operators in movable interval.We also get the moments properties of an auxiliary operator which has its own independent values.The moments of the auxiliary operators play important roles in establishing the main result(Theorem 4). 展开更多
关键词 Bernstein-Stancu operators movable interval approximation rates Voronovskaja's asymptotic estimate
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Exceptional Set for Diophantine Approximation with Primes of Two Squares and Three Biquadrates 认领 引用
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作者 LIU Minmin ZHANG Min LI Jinjiang 《数学进展》 CSCD 北大核心 2025年第1期18-36,共19页
Suppose thatλ1,λ2,λ3,λ4,λ5are nonzero real numbers,not all of the same sign,andλ1/λ2is irrational and algebraic.Let V be a well-spaced sequence,δ>0.In this paper,it is proved that,for ... Suppose thatλ1,λ2,λ3,λ4,λ5are nonzero real numbers,not all of the same sign,andλ1/λ2is irrational and algebraic.Let V be a well-spaced sequence,δ>0.In this paper,it is proved that,for anyε>0,the number of v∈V with v≤N such that the following inequality|λ1p1~2+λ2p2~2+λ3p3~4+λ4p4~4+λ_5p_5~4-v|<v-δhas no solution in prime variables p1,p2,p3,p4,p5does not exceed O(N29/32+2δ+ε). 展开更多
关键词 Diophantine approximation exponential sum Davenport-Heilbronn method prime variable
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A reconfigurable array with adaptive approximation using dual threshold accuracy 认领 引用
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作者 SHAN Rui SONG Yupeng LIAO Wang 《High Technology Letters》 EI CAS 2025年第3期226-237,共12页
With the growing demand for compute-intensive applications such as artificial intelligence(AI)and video processing,traditional reconfigurable array processors fail to meet the requirements of high-performance computin... With the growing demand for compute-intensive applications such as artificial intelligence(AI)and video processing,traditional reconfigurable array processors fail to meet the requirements of high-performance computing and related domains,primarily due to their high power consumption and low energy efficiency.To address this limitation,this paper proposes an accuracy-adaptive approxi-mate reconfigurable array architecture featuring preset dual thresholds and support for four computa-tional accuracy levels,enabling flexible adaptation to diverse application needs.The architecture in-tegrates a self-adaptive mechanism that dynamically adjusts computational precision based on real-time error threshold feedback.To evaluate the proposed architecture,the you only look once version 5(YOLOv5)deep neural network algorithm is parallelized and deployed on the approximate recon-figurable array.Experimental results demonstrate that the architecture achieves an 18.93%reduc-tion in power consumption compared with conventional reconfigurable structures operating in full-pre-cision mode.Additionally,the design exhibits superior energy efficiency and reduced computational resource utilization,thereby significantly enhancing the overall performance and applicability of reconfigurable array processors in power-sensitive scenarios. 展开更多
关键词 reconfigurable computing approximate computing low power energy-efficient
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Auxiliary-qubit-free quantum approximate optimization algorithm for the minimum dominating set problem 认领 引用
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作者 Guanghui Li Xiaohui Ni +5 位作者 Junjian Su Sujuan Qin Fenzhuo Guo Bingjie Xu Wei Huang Fei Gao 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第5期326-344,共19页
Quantum approximate optimization algorithm(QAOA)is a promising framework for solving combinatorial optimization problems on near-term quantum devices.One such problem is the minimum dominating set(MDS),which is known ... Quantum approximate optimization algorithm(QAOA)is a promising framework for solving combinatorial optimization problems on near-term quantum devices.One such problem is the minimum dominating set(MDS),which is known to be NP-hard.Existing QAOA algorithms for this problem typically require numerous auxiliary qubits,increasing circuit overhead and hardware requirements.In this paper,we propose an auxiliary-qubit-free QAOA algorithm based on Hamiltonian evolution(AQFH-QAOA)for the MDS problem.Unlike previous studies that require numerous auxiliary qubits,our algorithm eliminates the need for auxiliary qubits,thereby significantly reducing circuit overhead.In addition,we present an auxiliary-qubit-free optimized implementation of the previously proposed Guerrero's QAOA algorithm(AQFG-QAOA)by utilizing gate decomposition techniques.Through a detailed analysis of gate complexity,we evaluate the applicability of these two algorithms.Numerical experiments demonstrate that our proposed algorithm achieves competitive solution quality compared with existing QAOA algorithms,making it a promising candidate for implementation on near-term quantum devices. 展开更多
关键词 quantum algorithm quantum approximate optimization algorithm minimum dominating set Boolean algebra identities
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Approximate solutions and nonlinear scalarizations for set optimization with a co-radiant set 认领 引用
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作者 ZHANG Qi XU Yi-hong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2026年第2期367-385,共19页
In normed linear spaces,by applying the Minkowski difference,the concepts of efficient solutions,weakly efficient solutions,proper efficient solutions and Henig efficient solutions are introduced for set optimization ... In normed linear spaces,by applying the Minkowski difference,the concepts of efficient solutions,weakly efficient solutions,proper efficient solutions and Henig efficient solutions are introduced for set optimization with respect to co-radiant sets,and the relationships among them is discussed.Optimality conditions for minimal solutions and strictly minimal solutions of scalar set optimization are established by using the generalized oriented distance functions,respectively.The relationship between the solutions of set optimization problem and the solutions of scalar problem is studied.Several examples are given to explain our result.Properties of Gerstewitz’s functions with respect to co-radiant sets are discussed,which are used to establish sufficient conditions for weakly efficient solutions of set optimization. 展开更多
关键词 set optimization nonlinear function approximate solution co-radiant set
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