检索结果-内蒙古大学图书馆

7th International Conference on Computer information Science and Application Technology, CISAT 2024

作者： Ouyang, Ting Li, Qingna Beijing Institute of Technology School of Mathematics and Statistics Beijing China Beijing Institute of Technology Key Laboratory of Mathematical Theory and Computation in Information Security School of Mathematics and Statistics Beijing China

ISBN: (纸本)9798350375107

The Euclidean distance matrix (EDM) completion problem has been widely used in molecular conformation, protein structure determination and localization. This problem can be troublesome for many off-the-shelf algorithms since it is often intended to be highly degenerate. Therefore, in this paper, we develop the facial reduction technique by exploiting this degeneracy. We characterize the minimal face of EDM cone that contains the feasible region of EDM completion problem. The strict feasibility can be ensured by restricting the problem on the minimal face. We verify our result by some toy examples. © 2024 IEEE.

关键词： Matrix algebra

来源：评论

学校读者我要写书评

暂无评论

A unimodal sequence with mode at a quarter length

引用

Journal of Difference Equations and Applications 2023年第7期29卷 763-778页

作者： Liu, Max Y. C. Wang, David G. L. School of Mathematics and Statistics Beijing Institute of Technology Beijing China School of Mathematics and Statistics & MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing China

We show that the number (Formula presented.) of partitions with m even parts and largest hook length n is strongly unimodal with mode (Formula presented.) for (Formula presented.). We establish this result by induction, using a 5-term recurrence due to Lin, Xiong and Yan, and two 4-term recurrences obtained by Zeilberger's algorithm. The sequence (Formula presented.) is not log-concave. Using Möbius transformation and the method of interlacing zeros, we obtain that every zero of every generating polynomial (Formula presented.) lies on the left half part of the circle (Formula presented.). Moreover, as an application of Wang and Zhang's characterization of root geometry of polynomial sequences that satisfy a recurrence, we confirm that the zeros are densely distributed on the half circle. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

关键词： Log-concavity real-rootedness unimodality Zeilberger's algorithm

来源：评论

学校读者我要写书评

暂无评论

Boundary Observer for an unstable cascaded heat-heat system with different reaction coefficients 42

Boundary Observer for an unstable cascaded heat-heat system ...

引用

42nd Chinese Control Conference, CCC 2023

作者： Tang, Jia-Qi Wang, Jun-Min Kang, Wen School of Mathematics and Statistics Miit Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing100081 China Shunde Innovation School University of Science and Technology Beijing Foshan528399 China

ISBN: (纸本)9789887581543

The present paper constructs a finite-dimensional observer subject to boundary measurement for a cascaded heat-heat system with different reaction coefficients. The observer design is proposed via the modal decomposition approach. Based on Lyapunov method, the observer exponential convergence is formulated. Numerical simulation illustrates the performance of observer. © 2023 Technical Committee on Control theory, Chinese Association of Automation.

关键词： Lyapunov methods

来源：评论

学校读者我要写书评

暂无评论

ALL CYCLE-CHORDS ARE e-POSITIVE

arXiv

引用

arXiv 2024年

作者： Wang, David G.L. School of Mathematics and Statistics MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing102400 China

We establish the e-positivity of cycle-chord graphs by using the composition method which is developed by Zhou and the author recently. Our method is simpler than the (e)-positivity approach which is used for handling cycle-chords with girth at most 4. We also provide a combinatorial interpretation of the e-coefficients, and conjecture that theta graphs are *** Codes 05E05 © 2024, CC BY-NC-ND.

关键词： Graph theory

来源：评论

学校读者我要写书评

暂无评论

POSITIVE e-EXPANSIONS OF THE CHROMATIC SYMMETRIC FUNCTIONS OF KPKPS, TWINNED LOLLIPOPS, AND KAYAK PADDLES

arXiv

引用

arXiv 2024年

作者： Tang, Davion Q.B. Wang, David G.L. School of Mathematics and Statistics MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing102400 China

We find a positive eI-expansion for the chromatic symmetric function of KPKP graphs, which are graphs obtained by connecting a vertex in a complete graph with a vertex in the maximal clique of a lollipop graph by a path. This generalizes the positive eI-expansion for the chromatic symmetric function of lollipops obtained by Tom, for that of KPK graphs obtained by Wang and Zhou, and as well for those of KKP graphs and PKP graphs obtained by Qi, Tang and Wang. As an application, we confirm the e-positivity of twinned lollipops. We also discover the first positive eI-expansion for the chromatic symmetric function of kayak paddle graphs which are formed by connecting a vertex on a cycle and a vertex on another cycle with a path. This refines the e-positivity of kayak paddle graphs which was obtained by Aliniaeifard, Wang, and van Willigenburg. © 2024, CC BY-NC-ND.

关键词： Graph theory

来源：评论

学校读者我要写书评

暂无评论

Boundary Feedback Stabilization of an Unstable Cascaded Heat-Heat System with Different Reaction Coefficients

SSRN

引用

SSRN 2023年

作者： Tang, Jia-Qi Wang, Jun-Min Kang, Wen School of Mathematics and Statistics MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing100081 China

The present paper addresses a boundary stabilization problem for a cascaded heat-heat system with different reaction coefficients. A sufficient condition about two reaction coefficients of the cascaded model is found to guarantee the controllability of the coupled system. Based on modal decomposition method, a feedback control is proposed to stabilize the coupled system. Sufficient conditions for exponential stability and well-posedness of the closed-loop systems are derived via the Lyapunov method. The performance is validated by the numerical simulation, which illustrates the efficiency of the proposed control scheme. © 2023, The Authors. All rights reserved.

关键词： Lyapunov methods

来源：评论

学校读者我要写书评

暂无评论

An Efficient Method for Sample Adversarial Perturbations against Nonlinear Support Vector Machines 5

An Efficient Method for Sample Adversarial Perturbations aga...

引用

5th International Conference on Data Science and information Technology, DSIT 2022

作者： Su, Wen Li, Qingna Beijing Institute of Technology School of Mathematics and Statistics Beijing China School of Mathematics and Statistics Beijing Key Laboratory on MCAACI Key Laboratory of Mathematical Theory and Computation in Information Security Beijing Institute of Technology Beijing China

ISBN: (数字)9781665498685

ISBN: (纸本)9781665498685

Adversarial perturbations have drawn great attentions in various machine learning models. In this paper, we investigate the sample adversarial perturbations for nonlinear support vector machines (SVMs). Due to the implicit form of the nonlinear functions mapping data to the feature space, it is difficult to obtain the explicit form of the adversarial perturbations. By exploring the special property of nonlinear SVMs, we transform the optimization problem of attacking nonlinear SVMs into a nonlinear KKT system. Such a system can be solved by various numerical methods. Numerical results show that our method is efficient in computing adversarial perturbations. © 2022 IEEE.

关键词： Numerical methods

来源：评论

学校读者我要写书评

暂无评论

ON STRICHARTZ ESTIMATE FOR MANY BODY SCHRÖDINGER EQUATIONS IN THE WAVEGUIDE SETTING

arXiv

引用

arXiv 2023年

作者： Zhao, Zehua Department of Mathematics and Statistics Beijing Institute of Technology Beijing China MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing China

In this short paper, we prove Strichartz estimates for N-body Schrödinger equations in the waveguide manifold setting (i.e. on semiperiodic spaces Rm×Tn where m ≥ 3), provided that interaction potentials are small enough (depending on the number of the particles and the universal constants, not on the initial data). The proof combines both the ideas of Tzvetkov-Visciglia [29] and Hong [17]. As an immediate application, the scattering asymptotics for this model is also obtained. This result extends Hong [17] to the waveguide case. Copyright © 2023, The Authors. All rights reserved.

关键词： Waveguides

来源：评论

学校读者我要写书评

暂无评论

Exploiting the Degeneracy of Euclidean Distance Matrix Completion Problem

Exploiting the Degeneracy of Euclidean Distance Matrix Compl...

引用

Computer information Science and Application Technology (CISAT), International Conference on

作者： Ting Ouyang Qingna Li School of Mathematics and Statistics Beijing Institute of Technology Beijing China School of Mathematics and Statistics Beijing Institute of Technology Key Laboratory of Mathematical Theory and Computation in Information Security Beijing China

ISBN: (数字)9798350375107

ISBN: (纸本)9798350375114

关键词： Proteins Location awareness information science Toy manufacturing industry Euclidean distance Vectors Faces

来源：评论

学校读者我要写书评

暂无评论

Global Uniform in N Estimates for Solutions of a System of Hartree–Fock–Bogoliubov Type in the Case

引用

Peking Mathematical Journal 2024年 1-54页

作者： Chong, J. Dong, X. Grillakis, M. Machedon, M. Zhao, Z. School of Mathematical Sciences Peking University Beijing China University of Maryland College Park USA Department of Mathematics and Statistics Beijing Institute of Technology Beijing China MIIT Key Laboratory of Mathematical Theory and Computation in Information Security Beijing China

We extend the results of [Commun. Partial. Differ. Equ. 44(12), 1431–1465 (2019)] by the third and fourth author globally in time. More precisely, we prove uniform-in-N Strichartz estimates for the solutions $$\phi $$ , $$\Lambda $$ and $$\Gamma $$ of a coupled system of Hartree–Fock–Bogoliubov type with interaction potential $$V_N(x-y)=N^{3 \beta }v(N^{\beta }(x-y))$$ for $$\beta <1$$ . The potential v satisfies some technical conditions, but is not small. The initial conditions have finite energy and the “pair correlation” part satisfies a smallness condition, but are otherwise general functions in suitable Sobolev spaces, and the expected correlations in $$\Lambda $$ develop dynamically in time. The estimates are expected to improve the Fock space bounds of [Ann. Henri Poincaré 23(2), 615–673 (2021)] by the first and fifth author. This will be addressed in a subsequent paper.

关键词：

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：