检索结果-内蒙古大学图书馆

Classification of Nonlinear Confusion Component Using Hybrid Multi-Criteria Decision Making

Intelligent Automation & Soft Computing 2023年第5期36卷 1451-1463页

作者： Nabilah Abughazalah Iqra Ishaque Majid Khan Ammar S.Alanazi Iqtadar Hussain Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityP.O.Box 84428Riyadh 11671Saudi Arabia Department of Applied Mathematics and Statistics Institute of Space TechnologyIslamabadPakistan Department of Mathematics King Abdulaziz UniversityFaculty of ScienceJeddahSaudi Arabia Mathematics Program Department of MathematicsStatistics and PhysicsCollege of Arts and SciencesQatar University2713DohaQatar Statistical Consulting Unit College of Arts and ScienceQatar UniversityDohaQatar

In today’s digital world,the most inevitable challenge is the protection of digital *** to the weak conﬁdentiality preserving techniques,the existing world is facing several digital information *** make our digital data indecipherable to the unauthorized person,a technique forﬁnding a crypto-graphically strong Substitution box(S-box)have *** S-box with sound cryptographic assets such as nonlinearity(NL),strict avalanche criterion(SAC),bit independence criteria(BIC),bit independence criteria of nonlinearity(BIC-NL),Bit independence criteria of Strict avalanche criteria(BIC-SAC),and Input/output XOR is considered as the robust *** Decision-Making Trial and Evaluation Laboratory(DEMATEL)approach of multi-criteria decision making(MCDM)is proposed forﬁnding the interrelation among cryptographic properties.A combination of two MCDM methods namely Entropy and multi-objective optimization based on ratio analysis(MOORA)is applied for the best S-box selection.A robust substitution box is selected for secure communications in cryptography by using the combination of DEMETAL selection criteria,entro-py weight assigning,and MOORA ranking *** combination of these three methods provides a fast selection procedure for the secure confusion *** offered selection method can also be utilized for the choice of the best cryptosystem with highly secure properties and resistive against all possible linear and differential attacks in the cryptanalysis.

关键词： DEMATEL MCDM MOORA nonlinearity S-box

来源：评论

学校读者我要写书评

暂无评论

Representation with Minimized Max-Error in Optimal Piecewise Linear Approximation of Time Series data 25th

Representation with Minimized Max-Error in Optimal Piecewi...

引用

25th International Conference on Web Information Systems Engineering, WISE 2024

作者： Zhao, Huanyu Li, Tongliang Wen, Shiting Shu, Zhenyu Deng, Ke Yang, Jian Pang, Chaoyi School of Computer Science and Technology Donghua University Shanghai China Institute of Applied Mathematics Hebei Academy of Sciences Shijiazhuang China Hebei Authentication Technology Engineering Research Center Shijiazhuang China Institute of Biology Hebei Academy of Sciences Shijiazhuang China School of Computer and Data Engineering NingboTech University Ningbo China RMIT University Melbourne Australia Macquarie University Sydney Australia

ISBN: (纸本)9789819605781

In the past two decades, Piecewise Linear Approximation under maximum error (max-error) bound (PLA∞) has been intensively studied for effective qualified representation and analysis of time series data. It divides a time series into fragments and then represents each fragment with a straight line to approximate the data points of that time slot. In this paper, to elevate the representation quality in the optimal PLA∞ results, we present a linear-time algorithm FindMin to construct the unique line representative of minimized maximum error (min-max error) for each fragment. Through extended experimental tests, we demonstrate that the proposed algorithm is very efficient in execution and achieves better performances than the state-of-the-art solutions. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.

关键词： Time series analysis

来源：评论

学校读者我要写书评

暂无评论

Optimal testing using combined test statistics across independent studies 23

Optimal testing using combined test statistics across indepe...

引用

Proceedings of the 37th International Conference on Neural Information Processing Systems

作者： Lasse Vuursteen Botond Szabó Aad van der Vaart Harry van Zanten Delft Institute of Applied Mathematics Delft University of Technology Department of Decision Sciences and Institute for Data Science and Analytics Bocconi University Mathematics Department Vrije Universiteit Amsterdam

Combining test statistics from independent trials or experiments is a popular method of meta-analysis. However, there is very limited theoretical understanding of the power of the combined test, especially in high-dimensional models considering composite hypotheses tests. We derive a mathematical framework to study standard meta-analysis testing approaches in the context of the many normal means model, which serves as the platform to investigate more complex *** introduce a natural and mild restriction on the meta-level combination functions of the local trials. This allows us to mathematically quantify the cost of compressing m trials into real-valued test statistics and combining these. We then derive minimax lower and matching upper bounds for the separation rates of standard combination methods for e.g. p-values and e-values, quantifying the loss relative to using the full, pooled data. We observe an elbow effect, revealing that in certain cases combining the locally optimal tests in each trial results in a sub-optimal meta-analysis method and develop approaches to achieve the global optima. We also explore the possible gains of allowing limited coordination between the trial designs. Our results connect meta-analysis with bandwidth constraint distributed inference and build on recent information theoretic developments in the latter field.

关键词：

来源：评论

学校读者我要写书评

暂无评论

An overview of diffusion models for generative artificial intelligence

arXiv

引用

arXiv 2024年

作者： Gallon, Davide Jentzen, Arnulf von Wurstemberger, Philippe Applied Mathematics: Institute for Analysis and Numerics University of Münster Germany School of Data Science Shenzhen Research Institute of Big Data The Chinese University of Hong Kong Shenzhen [CUHK-Shenzhen China Risklab Department of Mathematics ETH Zurich Switzerland

This article provides a mathematically rigorous introduction to denoising diffusion probabilistic models (DDPMs), sometimes also referred to as diffusion probabilistic models or diffusion models, for generative artificial intelligence. We provide a detailed basic mathematical framework for DDPMs and explain the main ideas behind training and generation procedures. In this overview article we also review selected extensions and improvements of the basic framework from the literature such as improved DDPMs, denoising diffusion implicit models, classifier-free diffusion guidance models, and latent diffusion models. Copyright © 2024, The Authors. All rights reserved.

关键词： Generative adversarial networks

来源：评论

学校读者我要写书评

暂无评论

The Cauchy problem for the stochastic generalized Benjamin-Ono equation

引用

science China mathematics 2021年第2期64卷 331-350页

作者： Wei Yan Jianhua Huang Boling Guo College of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China College of Liberal Arts and Sciences National University of Defense TechnologyChangsha 410073China Institute of Applied Physics and Computational Mathematics Beijing 100088China

The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono *** establishing the bilinear and trilinear estimates in some Bourgain spaces,we prove that the Cauchy problem for the stochastic generalized Benjamin-Ono equation is locally well-posed for the initial data u0(x,w)∈L^(2)(Ω;H^(s)(R))which is F0-measurable with s≥1/2-α/4 andΦ∈L20,*** particular,whenα=1,we prove that it is globally well-posed for the initial data u0(x,w)∈L2(Ω;H1(R))which is F0-measurable andΦ∈L20,*** key ingredients that we use in this paper are trilinear estimates,the Ito formula and the Burkholder-Davis-Gundy(BDG)inequality as well as the stopping time technique.

关键词： Cauchy problem stochastic generalized Benjamin-Ono equation bilinear estimate trilinear estimate

来源：评论

学校读者我要写书评

暂无评论

Analytic analysis of the worst-case complexity of the gradient method with exact line search and the Polyak stepsize

arXiv

引用

arXiv 2024年

作者： Huang, Ya-Kui Qi, Hou-Duo Institute of Mathematics Hebei University of Technology Tianjin300401 China Department of Data Science and Artificial Intelligence Department of Applied Mathematics The Hong Kong Polytechnic University Hung Hom Hong Kong

We give a novel analytic analysis of the worst-case complexity of the gradient method with exact line search and the Polyak stepsize, respectively, which previously could only be established by computer-assisted proof. Our analysis is based on studying the linear convergence of a family of gradient methods, whose stepsizes include the one determined by exact line search and the Polyak stepsize as special instances. The asymptotic behavior of the considered family is also investigated which shows that the gradient method with the Polyak stepsize will zigzag in a two-dimensional subspace spanned by the two eigenvectors corresponding to the largest and smallest eigenvalues of the Hessian. © 2024, CC BY-NC-SA.

关键词： Gradient methods

来源：评论

学校读者我要写书评

暂无评论

A modified FCN-based method for Left Ventricle endocardium and epicardium segmentation with new block modules 8

A modified FCN-based method for Left Ventricle endocardium a...

引用

8th NAFOSTED Conference on Information and Computer science, NICS 2021

作者： Nham, Do-Hai-Ninh Trinh, Minh-Nhat Tran, Tien-Thanh Pham, Van-Truong Tran, Thi-Thao Hanoi University of Science and Technology School of Applied Mathematics and Informatics Vingroup Big Data Institute Smart Health Center

ISBN: (纸本)9781665410014

Cardiac segmentation of medical magnetic resonance images has been crucial nowadays owing to its necessity for cardiac problems diagnosis. In the increasing demand of advanced procedures for cardiac disease diagnosis and inspired by the structure of receptive field block;in this paper, we propose a new block module then further assembling into a deep fully convolutional neural network to deal with automated left ventricle segmentation. With only one learning stage, our proposed model is trained end-to-end, pixels-to-pixels and validated on two popular cardiac MRI benchmarks, ACDC and SunnyBrook datasets. Several experiments have proved that our new model architecture has a better performance than previous segmentation methods with enhanced feature discriminability and robustness, despite having much less training parameters. © 2021 IEEE.

关键词： Pixels

来源：评论

学校读者我要写书评

暂无评论

Influence of rare earth doping on the hydrogen absorption properties of Zr7V5Fe alloy

Influence of rare earth doping on the hydrogen absorption pr...

引用

中国真空学会2023学术年会、第十六届国际真空科学与工程应用学术会议（VSEA-16）

作者： Shuang Yang Zifeng Luo Guo Yang Lijun Lv Linhua Xu Haiyan Leng Xingbo Han Jianhui Zhu Pengfei Zhu School of Mathematics Physics and StatisticsShanghai University of Engineering Science Shanghai Institute of Applied Physics Chinese Academy of Sciences Institute of Materials Science and Engineering Shanghai University

As a representative of non-evaporative getter,Zr-V-Fe has attracted widespread attention because of its advantages of low activation temperature and fast hydrogen absorption *** this work,the effects of rare earth elements La and Ce doping on the microstructure as well as the hydrogen absorption properties of ZrVFe alloy are systematically investigated.X-ray diffraction analysis show that rare earth doping causes a decrease in the cell volume of both ZrV and α-Zr phases,resulting in an increase in the hydrogen absorption plateau pressure of the ZrV *** kinetic curves illustrate that rare earth doping leads to a larger particle size after activation,resulting in a decrease in the hydrogen absorption kinetic *** for the activation process,in-situ XPS investigations show that Zr and V are initially in a highly oxidized state,and change from oxidation state to metal state with the increase of heating *** earth doping reduces the activation temperature and shortens the incubation period of the alloy,and the content of metal Zr in rare earth doped alloys be higher than that in undoped alloys at 250℃.Meanwhile,the oxygen diffusion behaviors on the Zr surfaces are studied by first-principles *** results show that the oxygen diffusion barriers of doped and undoped La are 0.801eV and 1.322eV,*** contrast,the La doping of the surface layer slightly weakens the oxygen adsorption ability and lowers the energy barrier to the diffusion of oxygen into Zr *** study reveals that the doping of rare earth elements has potential application value for improving the activation performance of alloys.

关键词： Rare earth elements Hydrogen absorption thermodynamics Activation X-ray photoelectron spectroscopy First-principles

来源：评论

学校读者我要写书评

暂无评论

Advancing Simulations of Coupled Electron and Phonon Nonequilibrium Dynamics Using Adaptive and Multirate Time Integration

arXiv

引用

arXiv 2024年

作者： Yao, Jia Maliyov, Ivan Gardner, David J. Woodward, Carol S. Bernardi, Marco Department of Applied Physics and Materials Science Department of Physics California Institute of Technology PasadenaCA91125 United States Mathematics for Materials Modeling Institute of Mathematics Institute of Materials EPFL LausanneCH-1015 Switzerland Center for Applied Scientific Computing Lawrence Livermore National Laboratory LivermoreCA94550 United States

Electronic structure calculations in the time domain provide a deeper understanding of nonequilibrium dynamics in materials. The real-time Boltzmann equation (rt-BTE), used in conjunction with accurate interactions computed from first principles, has enabled reliable predictions of coupled electron and lattice dynamics. However, the timescales and system sizes accessible with this approach are still limited, with two main challenges being the different timescales of electron and phonon interactions and the cost of computing collision integrals. As a result, only a few examples of these calculations exist, mainly for two-dimensional (2D) materials. Here we leverage adaptive and multirate time integration methods to achieve a major step forward in solving the coupled rt-BTEs for electrons and phonons. Relative to conventional (non-adaptive) time-stepping, our approach achieves a 10x speedup for a given target accuracy, or greater accuracy by 3–6 orders of magnitude for the same computational cost, enabling efficient calculations in both 2D and bulk materials. This efficiency is showcased by computing the coupled electron and lattice dynamics in graphene up to ∼100 ps, as well as modeling ultrafast lattice dynamics and thermal diffuse scattering maps in a bulk material (silicon). These results open new opportunities for quantitative studies of nonequilibrium physics in materials. Copyright © 2024, The Authors. All rights reserved.

关键词： Boltzmann equation

来源：评论

学校读者我要写书评

暂无评论

Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation

arXiv

引用

arXiv 2024年

作者： Hannibal, Sonja Jentzen, Arnulf Thang, Do Minh Applied Mathematics: Institute for Analysis and Numerics Faculty of Mathematics and Computer Science University of Münster Germany School of Data Science Shenzhen Research Institute of Big Data The Chinese University of Hong Kong Shenzhen [CUHK-Shenzhen China School of Data Science The Chinese University of Hong Kong Shenzhen [CUHK-Shenzhen China Department of Probability and Statistic Institute of Mathematics Vietnam Academy of Science and Technology Viet Nam

Deep learning (DL) methods – consisting of a class of deep neural networks (DNNs) trained by a stochastic gradient descent (SGD) optimization method – are nowadays key tools to solve data driven supervised learning problems. Despite the great success of SGD methods in the training of DNNs, it remains a fundamental open problem of research to explain the success and the limitations of such methods in rigorous theoretical terms. In particular, even in the standard setup of data driven supervised learning problems, it remained an open research problem to prove (or disprove) that SGD methods converge in the training of DNNs with the popular rectified linear unit (ReLU) activation function with high probability to global minimizers in the optimization landscape. In this work we answer this question negatively by proving that it does not hold that SGD methods converge with high probability to global minimizers of the objective function. Even stronger, in this work we prove for a large class of SGD methods that the considered optimizer does with high probability not converge to global minimizers of the optimization problem. It turns out that the probability to not converge to a global minimizer converges at least exponentially quickly to one as the width of the first hidden layer of the ANN (the number of neurons on the first hidden layer) and the depth of the ANN (the number of hidden layers), respectively, increase to infinity. The general non-convergence results of this work do not only apply to the plain vanilla standard SGD method but also to a large class of accelerated and adaptive SGD methods such as the momentum SGD, the Nesterov accelerated SGD, the Adagrad, the RMSProp, the Adam, the Adamax, the AMSGrad, and the Nadam optimizers. However, we would like to emphasize that the findings of this work do not imply that SGD methods do not succeed to train DNNs: it may still very well be the case that SGD methods provably succeed to train DNNs in data driven learning pr

关键词： Self-supervised learning

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：