检索结果-内蒙古大学图书馆

6th International Conference on mathematical Aspects of Computer and Information sciences, MACIS 2015

作者： Brake, Daniel A. Bates, Daniel J. Putkaradze, Vakhtang Maciejewski, Anthony A. Department of Applied and Computational Mathematics and Statistics University of Notre Dame Notre Dame United States Department of Mathematics Colorado State University Fort Collins United States Department of Mathematical and Statistical Sciences University of Alberta Edmonton Canada Department of Electrical and Computer Engineering Colorado State University Fort Collins United States

ISBN: (纸本)9783319328584

Cooperating robotic systems, especially in the context of fault-tolerance of complex robotic mechanisms, is an important question for theoretical and applied studies. In this paper, we focus on one measure of fault tolerance in robots, namely, the multiplicity of the configurations for reaching a particular point in the workspace, which is difficult to measure using traditional methods. As a particular example, we consider the case of a free-swinging failure of a robotic arm that is handled by having a cooperating functional robot grasp the link adjacent to the failed joint. We present an efficient method to compute the multiplicity measure of the workspace, based on the tools from numerical algebraic geometry, applied to the inverse kinematics problem re-cast in the form of a polynomial system. To emphasize the difference between our methods and more traditional approaches, we compute the measure of workspace based on the multiplicity of configurations, and optimize placement of synergistic robot arms and the optimal grasp point on each link of the broken robot based on this measure. © Springer International Publishing Switzerland 2016.

关键词： Fault tolerance

来源：评论

学校读者我要写书评

暂无评论

Nucleation of Ordered Phases in Block Copolymers

引用

Physical Review Letters 2010年第14期104卷 148301-148301页

作者： Xiuyuan Cheng Ling Lin Weinan E Pingwen Zhang An-Chang Shi School of Mathematical Sciences and The Key Laboratory of Mathematics and Applied Mathematics Peking University Beijing 100871 China Department of Mathematics and Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544-1000 USA Department of Physics and Astronomy McMaster University Hamilton Ontario L8S 4M1 Canada

Nucleation of various ordered phases in block copolymers is studied by examining the free-energy landscape within the self-consistent field theory. The minimum energy path (MEP) connecting two ordered phases is computed using a recently developed string method. The shape, size, and free-energy barrier of critical nuclei are obtained from the MEP, providing information about the emergence of a stable ordered phase from a metastable phase. In particular, structural evolution of embryonic gyroid nucleus is predicted to follow two possible MEPs, revealing an interesting transition pathway with an intermediate perforated layered structure.

关键词： Nucleation

来源：评论

学校读者我要写书评

暂无评论

English-Chinese Translation using Neural Machine Models

English-Chinese Translation using Neural Machine Models

引用

Telecommunications, Optics and Computer Science (TOCS), IEEE Conference on

作者： Qi Liu Pengfei Ou Applied and Computational Mathematical Sciences Program University of Washington Seattle the United States Department of Mathematics University of Illinois at Urbana Champaign Urbana the United States

ISBN: (纸本)9781665470544

During the last few years, neural machine translation (NMT) as a notable branch of machine translation has been increasing its popularity both in research and in practice. In particular, neural machine translation between English and Chinese, which are two of the most widely used languages all over the world, is receiving more and more attention. In this review, we discuss current mainstream models for neural machine translation, including recurrent neural network (RNN), convolution neural network (CNN), and self-attention network (SAN) or transformer. The mechanisms of these models are illustrated. Moreover, examples of studies and applications of them are analyzed. In addition, comparisons on the performance of different models are implemented.

关键词： Recurrent neural networks Training data Transformers Optics Tokenization Data models Telecommunications

来源：评论

学校读者我要写书评

暂无评论

Layer dynamics for the one dimensional Ε-dependent cahn-hilliard / allen-cahn equation

arXiv

引用

arXiv 2021年

作者： Antonopoulou, Dimitra C. Karali, Georgia Tzirakis, Konstantinos Department of Mathematical and Physical Sciences University of Chester United Kingdom Department of Mathematics and Applied Mathematics University of Crete Greece Institute of Applied and Computational Mathematics FORTH Heraklion Greece

We study the dynamics of the one-dimensional Ε-dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of N transition layers, that in general does not conserve mass. Two different settings are considered which differ in that, for the second, we impose a mass-conservation constraint in place of one of the zero-mass flux boundary conditions at x = 1. Motivated by the study of Carr and Pego on the layered metastable patterns of Allen-Cahn in [10], and by this of Bates and Xun in [5] for the Cahn-Hilliard equation, we implement an N-dimensional, and a mass-conservative N−1-dimensional manifold respectively;therein, a metastable state with N transition layers is approximated. We then determine, for both cases, the essential dynamics of the layers (ode systems with the equations of motion), expressed in terms of local coordinates relative to the manifold used. In particular, we estimate the spectrum of the linearized Cahn-Hilliard / Allen-Cahn operator, and specify wide families of Ε-dependent weights δ(Ε), µ(Ε), acting at each part of the operator, for which the dynamics are stable and rest exponentially small in Ε. Our analysis enlightens the role of mass conservation in the classification of the general mixed problem into two main categories where the solution has a profile close to Allen-Cahn, or, when the mass is conserved, close to the Cahn-Hilliard *** Codes 35K55, 35K57, 35K40, 58J90 © 2021, CC BY.

关键词： Dynamics

来源：评论

学校读者我要写书评

暂无评论

Mortality rate forecasting: can recurrent neural networks beat the Lee-Carter model?

arXiv

引用

arXiv 2019年

作者： Petneházi, Gábor Gáll, József Doctoral School of Mathematical and Computational Sciences University of Debrecen Department of Applied Mathematics and Probability Theory University of Debrecen

This article applies a long short-term memory recurrent neural network to mortality rate forecasting. The model can be trained jointly on the mortality rate history of different countries, ages, and sexes. The RNN-bas... 详细信息

关键词： Recurrent neural networks

来源：评论

学校读者我要写书评

暂无评论

Transparency promotion with model-agnostic linear competitors 37

Transparency promotion with model-agnostic linear competitor...

引用

37th International Conference on Machine Learning, ICML 2020

作者： Rafique, Hassan Wang, Tong Lin, Qihang Sighani, Arshia Program in Applied Mathematical and Computational Sciences The University of Iowa Iowa CityIA United States Department of Business Analytics The University of Iowa Iowa CityIA United States BASIS Independent Silicon Valley San JoseCA United States

ISBN: (纸本)9781713821120

We propose a novel type of hybrid model for multi-class classification, which utilizes competing linear models to collaborate with an existing black-box model, promoting transparency in the decision-making process. Our proposed hybrid model, Model-Agnostic Linear Competitors (MALC), brings together the interpretable power of linear models and the good predictive performance of the state-of-the-art black-box models. We formulate the training of a MALC model as a convex optimization problem, optimizing the predictive accuracy and transparency (defined as the percentage of data captured by the linear models) in the objective function. Experiments show that MALC offers more model flexibility for users to balance transparency and accuracy, in contrast to the currently available choice of either a pure black-box model or a pure interpretable model. The human evaluation also shows that more users are likely to choose MALC for this model flexibility compared with interpretable models and black-box models. Copyright © 2020 by the Authors. All rights reserved.

关键词： Transparency

来源：评论

学校读者我要写书评

暂无评论

Some analysis of the knockoff filter and its variants

arXiv

引用

arXiv 2017年

作者： Chen, Jiajie Hou, Anthony Hou, Thomas Y. School of Mathematical Sciences Peking University Department of Statistics Harvard University Applied and Computational Mathematics Caltech United States

In many applications, we need to study a linear regression model that consists of a response variable and a large number of potential explanatory variables and determine which variables are truly associated with the response. In 2015, Barber and Candès introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and proved that this method achieves exact FDR control. In this paper, we provide some analysis of the knockoff filter and its variants. Based on our analysis, we propose a PCA prototype group selection filter that has exact group FDR control and several advantages over existing group selection methods for strongly correlated features. Another contribution is that we propose a new noise estimator that can be incorporated into the knockoff statistic from a penalized method without violating the exchangeability property. Our analysis also reveals that some knockoff statistics, including the Lasso path and the marginal correlation statistics, suffer from the alternating sign effect. To overcome this deficiency, we introduce the notion of a good statistic and propose several alternative statistics that take advantage of the good statistic property. Finally, we present a number of numerical experiments to demonstrate the effectiveness of our methods and confirm our analysis. Copyright © 2017, The Authors. All rights reserved.

关键词： Statistics

来源：评论

学校读者我要写书评

暂无评论

How SGD selects the global minima in over-parameterized learning: a dynamical stability perspective 18

How SGD selects the global minima in over-parameterized lear...

引用

Proceedings of the 32nd International Conference on Neural Information Processing Systems

作者： Lei Wu Chao Ma Weinan E. School of Mathematical Sciences Peking University Beijing P.R. China Program in Applied and Computational Mathematics Princeton University Princeton NJ Department of Mathematics and Program in Applied and Computational Mathematics Princeton University Princeton NJ and Beijing Institute of Big Data Research Beijing P.R. China

The question of which global minima are accessible by a stochastic gradient decent (SGD) algorithm with specific learning rate and batch size is studied from the perspective of dynamical stability. The concept of non-uniformity is introduced, which, together with sharpness, characterizes the stability property of a global minimum and hence the accessibility of a particular SGD algorithm to that global minimum. In particular, this analysis shows that learning rate and batch size play different roles in minima selection. Extensive empirical results seem to correlate well with the theoretical findings and provide further support to these claims.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Semi-analytical finite element method applied for characterizing micropolar fibrous composites

引用

applied mathematics and Mechanics(English Edition) 2024年第12期45卷 2147-2164页

作者： J.A.OTERO Y.ESPINOSA-ALMEYDA R.RODRIGUEZ-RAMOS J.MERODIO School of Engineering and Sciences Monterrey Institute of TechnologyEstado de Mexico 52926Mexico Institute of Engineering and Technology Autonomous University of Ciudad JuarezCiudad JuarezChihuahua 32310Mexico Postgraduate Program in Computational Modeling in Science and Technology Federal Fluminense UniversityRıo de Janeiro 27255-125Brazil Faculty of Mathematics and Computer Science University of HavanaLa Habana 10400Cuba Department of Mathematics Applied to ICT School of Informatics Systems EngineeringTechnical University of MadridMadrid 28031Spain

A semi-analytical finite element method(SAFEM),based on the two-scale asymptotic homogenization method(AHM)and the finite element method(FEM),is implemented to obtain the effective properties of two-phase fiber-reinforced composites(FRCs).The fibers are periodically distributed and unidirectionally aligned in a homogeneous *** framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect interface contact *** mathematical formulation of the local problems and the effective coefficients are presented by the *** local problems obtained from the AHM are solved by the FEM,which is denoted as the *** numerical results are provided,and the accuracy of the solutions is analyzed,indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.

关键词： semi-analytical approach fiber-reinforced composite(FRC) effective property finite element method(FEM) asymptotic homogenization method(AHM) micropolar elasticity

来源：评论

学校读者我要写书评

暂无评论

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

引用

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

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：