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Extracting fuzzy clusters from massive attributed graphs using Markov lumpability optimization
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作者 Kai-Yue Jiang Li-Heng Xu +3 位作者 Shi-Pei Lin Li-Yang Zhou Hui-Jia Li Ge Gao 《Chinese Physics B》 2025年第10期609-617,共9页
Attributed graph clustering plays a vital role in uncovering hidden network structures,but it presents significant challenges.In recent years,various models have been proposed to identify meaningful clusters by integr... Attributed graph clustering plays a vital role in uncovering hidden network structures,but it presents significant challenges.In recent years,various models have been proposed to identify meaningful clusters by integrating both structural and attribute-based information.However,these models often emphasize node proximities without adequately balancing the efficiency of clustering based on both structural and attribute data.Furthermore,they tend to neglect the critical fuzzy information inherent in attributed graph clusters.To address these issues,we introduce a new framework,Markov lumpability optimization,for efficient clustering of large-scale attributed graphs.Specifically,we define a lumped Markov chain on an attribute-augmented graph and introduce a new metric,Markov lumpability,to quantify the differences between the original and lumped Markov transition probability matrices.To minimize this measure,we propose a conjugate gradient projectionbased approach that ensures the partitioning closely aligns with the intrinsic structure of fuzzy clusters through conditional optimization.Extensive experiments on both synthetic and real-world datasets demonstrate the superior performance of the proposed framework compared to existing clustering algorithms.This framework has many potential applications,including dynamic community analysis of social networks,user profiling in recommendation systems,functional module identification in biological molecular networks,and financial risk control,offering a new paradigm for mining complex patterns in high-dimensional attributed graph data. 展开更多
关键词 attributed clustering Markov chain lumped random walk fuzzy clusters OPTIMIZATION
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参数估计对检测简单线性曲线控制图的性能影响分析
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作者 么彩莲 李忠华 +1 位作者 周茂袁 张久军 《数理统计与管理》 CSSCI 北大核心 2023年第1期1-13,共13页
关于简单线性曲线的在线监测方法多数假定受控参数是已知的,或者假定有足够多的历史样本来估计未知参数。Mahmoud[1]分析了参数估计对三种监测简单线性曲线方法的影响,但其部分模拟结果有一定差错。本文主要目的是研究参数估计对Zhang等... 关于简单线性曲线的在线监测方法多数假定受控参数是已知的,或者假定有足够多的历史样本来估计未知参数。Mahmoud[1]分析了参数估计对三种监测简单线性曲线方法的影响,但其部分模拟结果有一定差错。本文主要目的是研究参数估计对Zhang等[2]提出的基于似然比检验的监测简单线性曲线控制图的性能影响,并对Mahmoud[1]中的模拟方法进行纠正,同时对四种方法进行比较。模拟结果表明,若使用参数已知时的控制限,而历史样本数据较少时,控制图的性能会受到严重影响。 展开更多
关键词 简单线性曲线 参数估计 平均运行长度 统计过程控制
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图的星边染色综述 被引量:2
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作者 雷辉 史永堂 《数学进展》 CSCD 北大核心 2021年第1期77-93,共17页
重图G的星色指数是指对G的边进行正常染色使得没有长为4的路或圈是双色的所需的最小颜色数,记作χ′st(G).本文对图的星色指数的结果做了一个总结,给出了一些有趣的证明和技巧,并收集了一些公开问题和猜想.
关键词 星边染色 subcubic重图 二部图 平面图 最大平均度
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一个基于主成分分析的探测高维变点的方法 被引量:3
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作者 李家琦 《数理统计与管理》 CSSCI 北大核心 2020年第2期251-262,共12页
本文介绍了一个有效的处理高维变点问题的方法。我们先将数据矩阵使用主成分分析的方法投影到低维空间,然后再利用传统变点的方法来进行估计。在变点个数未知时,我们使用交叉核实的方法来估计变点个数。在数值模拟研究中,我们将新方法... 本文介绍了一个有效的处理高维变点问题的方法。我们先将数据矩阵使用主成分分析的方法投影到低维空间,然后再利用传统变点的方法来进行估计。在变点个数未知时,我们使用交叉核实的方法来估计变点个数。在数值模拟研究中,我们将新方法同一些已有的方法进行了比较,在估计的准确度和计算时间等方面都要优于其他方法。 展开更多
关键词 高维变点检测 主成分分析 交叉核实
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CONSTRUCTION OF IMPROVED BRANCHING LATIN HYPERCUBE DESIGNS 被引量:1
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作者 Hao CHEN Jinyu YANG Min-Qian LIU 《Acta Mathematica Scientia》 SCIE CSCD 2021年第4期1023-1033,共11页
In this paper,we propose a new method,called the level-collapsing method,to construct branching Latin hypercube designs(BLHDs).The obtained design has a sliced structure in the third part,that is,the part for the shar... In this paper,we propose a new method,called the level-collapsing method,to construct branching Latin hypercube designs(BLHDs).The obtained design has a sliced structure in the third part,that is,the part for the shared factors,which is desirable for the qualitative branching factors.The construction method is easy to implement,and(near)orthogonality can be achieved in the obtained BLHDs.A simulation example is provided to illustrate the effectiveness of the new designs. 展开更多
关键词 Branching and nested factors computer experiment Gaussian process model ORTHOGONALITY
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Synthesis and immunological evaluation of Mincle ligands-based antitumor vaccines 被引量:1
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作者 Kun Wang Tong Zhang +6 位作者 Mingyang Liu Danyang Wang Haomiao Zhu Zhaoyu Wang Fan Yu Yonghui Liu Wei Zhao 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第7期141-145,共5页
The development of novel adjuvants constitutes a new strategy for the research of tumor vaccines.Immunomodulatory molecule adjuvants are one of the novel adjuvants that can effectively stimulate the pattern recognitio... The development of novel adjuvants constitutes a new strategy for the research of tumor vaccines.Immunomodulatory molecule adjuvants are one of the novel adjuvants that can effectively stimulate the pattern recognition receptors to activate the downstream pathways of immune cells.However,there are few studies on immunomodulatory molecular adjuvants associated with C-type lectin.It has been reported that GlcC_(14)C_(18)is a Mincle ligand with a relatively simple structure and strong adjuvant activity in vivo.Herein,we coupled GlcC_(14)C_(18)with MUC1 glycopeptide and evaluated its immune effect.In addition,we also synthesized α-GlcC_(14)C_(18)-MUC1 and β-GlcC_(14)C_(18)-MUC1 based on the two configurations of GlcC_14C_(18)and compared their immune effects.The results show that both of the two configurations of the vaccine have a good immune effect,but to a certain extent,the immune effect of β-GlcC_(14)C_(18)-MUC1 is better than that of α-GlcC_(14)C_(18)-MUC1. 展开更多
关键词 Cancer vaccine MUC1 antigen Mincle ligand GLYCOPEPTIDE Vaccine ligand
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Alum colloid encapsulated insideβ-glucan particles enhance humoral and CTL immune responses of MUC1 vaccine 被引量:2
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作者 Yonghui Liu Mingjing Li +5 位作者 Haomiao Zhu Zhe Jing Xiaona Yin Kun Wang Zhangyong Hong Wei Zhao 《Chinese Chemical Letters》 CSCD 2021年第6期1963-1966,共4页
We have developed a MUC1 antigen-based antitumor vaccine loaded on alum colloid encapsulated insideβ-glucan particles(GP-Al).The constructed vaccine induced strong MUC1 antigen specific Ig G antibody titers and enhan... We have developed a MUC1 antigen-based antitumor vaccine loaded on alum colloid encapsulated insideβ-glucan particles(GP-Al).The constructed vaccine induced strong MUC1 antigen specific Ig G antibody titers and enhanced CD^(8+)T cells cytotoxic effect to kill tumor cells.These results indicated that GP-Al can be served as an efficient delivery system and adjuvant for the development of cancer vaccines especially small molecule antigens based cancer vaccines. 展开更多
关键词 MUC 1 antigen GLYCOPEPTIDE GP-Al Adjuvant Antitumor vaccine
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Self-feedback LSTM regression model for real-time particle source apportionment 被引量:2
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作者 Wei Wang Weiman Xu +6 位作者 Shuai Deng Yimeng Chai Ruoyu Ma Guoliang Shi Bo Xu Mei Li Yue Li 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2022年第4期10-20,共11页
Atmospheric particulate matter pollution has attracted much wider attention globally.In recent years,the development of atmospheric particle collection techniques has put forwards new demands on the real-time source a... Atmospheric particulate matter pollution has attracted much wider attention globally.In recent years,the development of atmospheric particle collection techniques has put forwards new demands on the real-time source apportionments techniques.Such demands are summarized,in this paper,as how to set up new restraints in apportionment and how to develop a non-linear regression model to process complicated circumstances,such as the existence of secondary source and similar source.In this study,we firstly analyze the possible and potential restraints in single particle source apportionment,then propose a novel three-step self-feedback long short-term memory(SF-LSTM)network for approximating the source contribution.The proposed deep learning neural network includes three modules,as generation,scoring and refining,and regeneration modules.Benefited from the scoring modules,SF-LSTM implants four loss functions representing four restraints to be followed in the apportionment,meanwhile,the regeneration module calculates the source contribution in a non-linear way.The results show that the model outperforms the conventional regression methods in the overall performance of the four evaluation indicators(residual sum of squares,stability,sparsity,negativity)for the restraints.Additionally,in short time-resolution analyzing,SF-LSTM provides better results under the restraint of stability. 展开更多
关键词 Time series Regression Self-feedback LSTM network Particle source apportionment
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正交性和最大最小距离准则的联系
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作者 庞彤辉 王艳 杨建峰 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2022年第2期69-73,共5页
最大最小距离设计和正交设计在计算机试验和实体试验中备受关注.研究了一类正交U-型设计在最大最小距离准则下的表现.结果表明,此类设计如果在正交性准则下是最优的,那么在最大最小距离准则下也是最优的,从而表明正交设计和最大最小距... 最大最小距离设计和正交设计在计算机试验和实体试验中备受关注.研究了一类正交U-型设计在最大最小距离准则下的表现.结果表明,此类设计如果在正交性准则下是最优的,那么在最大最小距离准则下也是最优的,从而表明正交设计和最大最小距离设计有着密切联系. 展开更多
关键词 计算机试验 最大最小距离 正交性 U-型设计
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一个在图像中识别变化区域的有效方法
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作者 李家琦 李忠华 王小璞 《应用概率统计》 CSCD 北大核心 2020年第3期295-320,共26页
本文介绍了一个新颖有效的方法,用于估计图片中的变化区域.本文利用现有的一维参数变点估计方法设计了一个可以应用到图像分割问题中的方法.新方法采用了Schwartz信息量准则来估计变点个数,然后通过一个改进后的PELT算法来计算变点位置... 本文介绍了一个新颖有效的方法,用于估计图片中的变化区域.本文利用现有的一维参数变点估计方法设计了一个可以应用到图像分割问题中的方法.新方法采用了Schwartz信息量准则来估计变点个数,然后通过一个改进后的PELT算法来计算变点位置.此外,在估计完变点之后,本文也提出一个全新的方法可以将同分布的区域聚合在一起.我们证明了在一些合适的条件下,变点的估计和区域的估计均是相合的.在数值模拟研究中,新方法在估计精度和计算时间等方面都要优于其他的图像分割算法. 展开更多
关键词 变点检测 图像分割 PELT算法
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Enhancing the immune response and tumor suppression effect of antitumor vaccines adjuvanted with non-nucleotide small molecule STING agonist
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作者 Zhaoyu Wang Qiang Chen +4 位作者 Haomiao Zhu Xiaona Yin Kun Wang Yonghui Liu Wei Zhao 《Chinese Chemical Letters》 CSCD 2021年第6期1888-1892,共5页
Vaccine adjuvants have been widely used to enhance the immunogenicity of the antigens and elicit long-lasting immune response.However,only few vaccine adjuvants have been approved by the FDA for human use so far.There... Vaccine adjuvants have been widely used to enhance the immunogenicity of the antigens and elicit long-lasting immune response.However,only few vaccine adjuvants have been approved by the FDA for human use so far.Therefore,there is still an urgent need to develop novel adjuvants for the potential applications in clinical trials.Herein,non-nucleotide small molecule STING agonist di ABZI was employed to construct glycopeptide antigen based vaccines for the first time.Immunological evaluation indicated di ABZI not only enhanced the production of antibodies and T cell immune responses,but also inhibited tumor growth in tumor-bearing mice in glycopeptide-based subunit vaccines.These results indicated that di-ABZI demonstrates a high potential as adjuvant for the development of cancer vaccines. 展开更多
关键词 MUC1 antigen GLYCOPEPTIDE Vaccine adjuvant STING Cancer vaccine
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Overlapping community detection on attributed graphs via neutrosophic C-means
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作者 Yuhan Jia Leyan Ouyang +1 位作者 Qiqi Wang Huijia Li 《Chinese Physics B》 2025年第12期569-580,共12页
Detecting overlapping communities in attributed networks remains a significant challenge due to the complexity of jointly modeling topological structure and node attributes,the unknown number of communities,and the ne... Detecting overlapping communities in attributed networks remains a significant challenge due to the complexity of jointly modeling topological structure and node attributes,the unknown number of communities,and the need to capture nodes with multiple memberships.To address these issues,we propose a novel framework named density peaks clustering with neutrosophic C-means.First,we construct a consensus embedding by aligning structure-based and attribute-based representations using spectral decomposition and canonical correlation analysis.Then,an improved density peaks algorithm automatically estimates the number of communities and selects initial cluster centers based on a newly designed cluster strength metric.Finally,a neutrosophic C-means algorithm refines the community assignments,modeling uncertainty and overlap explicitly.Experimental results on synthetic and real-world networks demonstrate that the proposed method achieves superior performance in terms of detection accuracy,stability,and its ability to identify overlapping structures. 展开更多
关键词 attributed graphs overlapping communities neutrosophic C-means density peaks
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瑞马唑仑对恶性肿瘤影响的研究进展
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作者 王誉翔 马宝育 +2 位作者 庄曌 王寿世 赵炜 《现代药物与临床》 2025年第10期2660-2665,共6页
恶性肿瘤术后复发和转移是影响患者长期生存的主要障碍,而常用麻醉药兼具促瘤和抗瘤效应。瑞马唑仑是新一代超短效苯二氮?类镇静药,在体外可通过多条信号通路直接抑制胶质瘤、肺癌、结直肠癌、胃癌、肝癌、前列腺癌细胞增殖和迁移,并诱... 恶性肿瘤术后复发和转移是影响患者长期生存的主要障碍,而常用麻醉药兼具促瘤和抗瘤效应。瑞马唑仑是新一代超短效苯二氮?类镇静药,在体外可通过多条信号通路直接抑制胶质瘤、肺癌、结直肠癌、胃癌、肝癌、前列腺癌细胞增殖和迁移,并诱导细胞凋亡,同时对围术期免疫功能具有一定的保护作用。总结了瑞马唑仑通过对细胞的直接作用、调节体内的免疫功能对恶性肿瘤影响的研究进展,以期拓展瑞马唑仑在肿瘤综合治疗中的应用。 展开更多
关键词 瑞马唑仑 恶性肿瘤 细胞增殖 细胞凋亡 免疫功能
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Factor-adjusted tests for generalized linear models with multimodal data:An application to breast cancer data
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作者 Dongyu Li Lei Wang 《Science China Mathematics》 2025年第2期447-484,共38页
With the advancement of modern scientific research,multimodal data is increasingly being collected from multiple sources or types.For outcomes derived from generalized linear models with high-dimensional and multimoda... With the advancement of modern scientific research,multimodal data is increasingly being collected from multiple sources or types.For outcomes derived from generalized linear models with high-dimensional and multimodal covariates,we develop two distinct factor-adjusted tests to assess the significance of high-dimensional modality data and specific low-dimensional linear combinations of predictors from one or more modalities,respectively.First,we propose a factor-adjusted decorrelated score test to evaluate the significance of a single modality.This approach simultaneously transforms a high-dimensional test into a fixed low-dimensional one while addressing the impact of high-dimensional nuisance parameters.Second,we construct a factor-adjusted Wald test based on partial penalized estimation to assess the significance of certain low-dimensional combinations of variables from one or more modalities.The limiting distributions of these two proposed tests are analyzed under both the null hypothesis and local alternatives to characterize the asymptotic type-I errors and powers.The finite sample performance of our proposed tests is evaluated through simulations and further demonstrated with a breast cancer dataset. 展开更多
关键词 decorrelated score factor model high-dimensional data integrative analysis partial penalized Wald test
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Inverse local time of one-dimensional diffusions and its comparison theorem
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作者 Zhen-Qing Chen Lidan Wang 《Science China Mathematics》 2025年第5期1201-1218,共18页
In this paper,we study the inverse local times at 0 of one-dimensional reflected diffusions on[0,∞)and establish a comparison principle for these inverse local times.We also provide applications to Green function est... In this paper,we study the inverse local times at 0 of one-dimensional reflected diffusions on[0,∞)and establish a comparison principle for these inverse local times.We also provide applications to Green function estimates for non-local operators. 展开更多
关键词 diffusion local time inverse local time SUBORDINATOR Lévy measure Girsanov transform comparison theorem Green function estimate
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Robust Multi-Task Regression with Shifting Low-Rank Patterns
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作者 Junfeng Cui Guanghui Wang +2 位作者 Fengyi Song Xiaoyan Ma Changliang Zou 《Acta Mathematica Sinica,English Series》 2025年第2期677-702,共26页
We consider the problem of multi-task regression with time-varying low-rank patterns,where the collected data may be contaminated by heavy-tailed distributions and/or outliers.Our approach is based on a piecewise robu... We consider the problem of multi-task regression with time-varying low-rank patterns,where the collected data may be contaminated by heavy-tailed distributions and/or outliers.Our approach is based on a piecewise robust multi-task learning formulation,in which a robust loss function—not necessarily to be convex,but with a bounded derivative—is used,and each piecewise low-rank pattern is induced by a nuclear norm regularization term.We propose using the composite gradient descent algorithm to obtain stationary points within a data segment and employing the dynamic programming algorithm to determine the optimal segmentation.The theoretical properties of the detected number and time points of pattern shifts are studied under mild conditions.Numerical results confirm the effectiveness of our method. 展开更多
关键词 Low-rank matrix estimation multiple change-point detection multi-task regression robust learning
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Variable Selection for High-dimensional Cox Model with Error Rate Control
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作者 HE Baihua SHI Hongwei +2 位作者 GUO Xu ZOU Changliang ZHU Lixing 《Journal of Systems Science & Complexity》 2025年第3期1162-1185,共24页
Simultaneously finding active predictors and controlling the false discovery rate(FDR)for high-dimensional survival data is an important but challenging statistical problem.In this paper,the authors propose a novel va... Simultaneously finding active predictors and controlling the false discovery rate(FDR)for high-dimensional survival data is an important but challenging statistical problem.In this paper,the authors propose a novel variable selection procedure with error rate control for the high-dimensional Cox model.By adopting a data-splitting strategy,the authors construct a series of symmetric statistics and then utilize the symmetry property to derive a data-driven threshold to achieve error rate control.The authors establish finite-sample and asymptotic FDR control results under some mild conditions.Simulation results as well as a real data application show that the proposed approach successfully controls FDR and is often more powerful than the competing approaches. 展开更多
关键词 Data-splitting false discovery rate high-dimensional survival data symmetry.
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Two-Stage Online Debiased Lasso Estimation and Inference for High-Dimensional Quantile Regression with Streaming Data 被引量:1
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作者 PENG Yanjin WANG Lei 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2024年第3期1251-1270,共20页
In this paper,the authors propose a two-stage online debiased lasso estimation and statistical inference method for high-dimensional quantile regression(QR)models in the presence of streaming data.In the first stage,t... In this paper,the authors propose a two-stage online debiased lasso estimation and statistical inference method for high-dimensional quantile regression(QR)models in the presence of streaming data.In the first stage,the authors modify the QR score function based on kernel smoothing and obtain the online lasso smoothed QR estimator through iterative algorithms.The estimation process only involves the current data batch and specific historical summary statistics,which perfectly accommodates to the special structure of streaming data.In the second stage,an online debiasing procedure is carried out to eliminate biases caused by the lasso penalty as well as the accumulative approximation error so that the asymptotic normality of the resulting estimator can be established.The authors conduct extensive numerical experiments to evaluate the performance of the proposed method.These experiments demonstrate the effectiveness of the proposed method and support the theoretical results.An application to the Beijing PM2.5 Dataset is also presented. 展开更多
关键词 Adaptive tuning asymptotic normality debiased lasso online updating quantile regres-sion
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An Overview of Stochastic Quasi-Newton Methods for Large-Scale Machine Learning 被引量:2
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作者 Tian-De Guo Yan Liu Cong-Ying Han 《Journal of the Operations Research Society of China》 EI CSCD 2023年第2期245-275,共31页
Numerous intriguing optimization problems arise as a result of the advancement of machine learning.The stochastic first-ordermethod is the predominant choicefor those problems due to its high efficiency.However,the ne... Numerous intriguing optimization problems arise as a result of the advancement of machine learning.The stochastic first-ordermethod is the predominant choicefor those problems due to its high efficiency.However,the negative effects of noisy gradient estimates and high nonlinearity of the loss function result in a slow convergence rate.Second-order algorithms have their typical advantages in dealing with highly nonlinear and ill-conditioning problems.This paper provides a review on recent developments in stochastic variants of quasi-Newton methods,which construct the Hessian approximations using only gradient information.We concentrate on BFGS-based methods in stochastic settings and highlight the algorithmic improvements that enable the algorithm to work in various scenarios.Future research on stochastic quasi-Newton methods should focus on enhancing its applicability,lowering the computational and storage costs,and improving the convergence rate. 展开更多
关键词 Stochastic quasi-Newton methods BFGS Large-scale machine learning
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一类正交空间填充设计的构造 被引量:1
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作者 杨雪 周琦 《系统科学与数学》 CSCD 北大核心 2020年第2期289-297,共9页
空间填充设计在计算机试验中应用十分广泛,当拟合回归模型时,正交的空间填充设计保证了因子效应估计的独立性.基于广义正交设计,文章给出了构造二阶正交拉丁超立方体设计和列正交设计的方法,新构造的设计不仅满足任意两列之间相互正交,... 空间填充设计在计算机试验中应用十分广泛,当拟合回归模型时,正交的空间填充设计保证了因子效应估计的独立性.基于广义正交设计,文章给出了构造二阶正交拉丁超立方体设计和列正交设计的方法,新构造的设计不仅满足任意两列之间相互正交,还能保证每一列与任一列元素平方组成的列以及任两列元素相乘组成的列都正交.当某些正交的空间填充设计不存在时,具有较小相关系数的近似正交设计可作为替代设计使用.设计构造的灵活性为计算机试验在实践中的广泛应用提供了必要的支持. 展开更多
关键词 计算机试验 拉丁超立方体设计 列正交设计 二阶正交 近似正交
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