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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)最新文献

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Wave dynamics with allowance of the bottom rheology 考虑底流变的波浪动力学
S. Peregudin, S. Kholodova
A system of nonlinear partial differential equations that models perturbations in a layer of an ideal incompressible fluid over a deformable bottom is considered. Solutions of the scalar equation for modelling small-amplitude wave propagation in an infinite horizontal layer of the non homogeneous fluid are constructed.
考虑了一个非线性偏微分方程组,该方程组模拟了理想不可压缩流体在可变形底部上的扰动。构造了模拟小振幅波在非均匀流体的无限水平层中传播的标量方程的解。
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引用次数: 0
Synthesis of quasiadaptive automatic control system for multivariable plant with state and input time-delay 具有状态和输入时滞的多变量对象准自适应自动控制系统的综合
A. Asanov, V. S. Karimov
An analytical solution of the problem of synthesis of quasiadaptive automatic control system with a reference model for multivariable plant with state and input time-delays on the basis of system embedding technology is proposed. The compensation scheme is applied to compensate input delay. Design of the corresponding control law is carried out for cases of synthesis with respect to free component, to forced component, to free and forced components of mismatch of the closed-loop dynamic system. Coefficients, which determine a set of solutions of the problem of synthesis and conditions of the existence of these solutions, are calculated.
提出了一种基于系统嵌入技术的具有状态和输入时滞的多变量对象参考模型的拟自适应自动控制系统综合问题的解析解。采用补偿方案对输入时延进行补偿。针对闭环动态系统的自由分量、受迫分量、失配自由分量和受迫分量的综合情况,进行了相应控制律的设计。计算了决定综合问题一组解的系数和这些解存在的条件。
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引用次数: 0
Pattern recognition using a neural network with the short term memory 模式识别采用具有短期记忆的神经网络
V. Kozynchenko, M. Balabanov, Maxim S. Kolmakov
The paper deals with the modification of the Hamming neural network designed for solving the problems of pattern recognition. It is proposed to divide the memory of a neural network in the short term and long term parts. To the Hamming network the additional layers and modulators are added, which provide the property of plasticity-stability of memory, like the networks in the adaptive resonance theory. An algorithm for the short-term memory consolidation is proposed that is based on the frequency of encountering the components of stored images.
本文讨论了对汉明神经网络的改进,以解决模式识别问题。提出将神经网络的记忆分为短时记忆部分和长时记忆部分。汉明网络增加了额外的层和调制器,提供了记忆的可塑性和稳定性,就像自适应共振理论中的网络一样。提出了一种基于与所存储图像的成分相遇频率的短时记忆巩固算法。
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引用次数: 1
Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid 求椭球与线性流形与椭球的交点之间的距离
G. Tamasyan, A. Chumakov
The problem of finding the closest points between an ellipsoid and an intersection of a linear manifold and an ellipsoid is considered. In particular, this problem includes a problem of finding the minimum distance between the ellipsoid and the ellipse. The original constrained optimization problem is reduced to the unconstrained one by means of the theory of exact penalty functions. Constructed exact penalty function is nonsmooth and belongs to the class of hypodifferentiable. Hypodifferential calculus is implied for its study and steepest hypodifferential descent is used to find its stationary points.
研究了求椭球与线性流形与椭球的交点之间最近点的问题。特别地,这个问题包含了一个求椭球与椭圆之间最小距离的问题。利用精确惩罚函数理论,将原约束优化问题简化为无约束优化问题。构造的精确罚函数是非光滑的,属于可微的一类。它的研究隐含了次微分微积分,用最陡的次微分下降法求其平稳点。
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引用次数: 5
The model of ice growth on the outer surface of a cylinder in sea water 海水中圆柱体外表面冰生长的模型
N. Ermolaeva, G. Kurbatova
The mathematical model of the glaciation dynamics of outer surface of a cylinder submerged into sea water is proposed. The grid method with explicit separation of the moving interface between phases is used for the numerical solution of this problem. The calculation example of glaciation process is presented.
提出了浸入海水的圆柱体外表面冰川动力学的数学模型。采用明确分离相间运动界面的网格法对该问题进行了数值求解。给出了冰川作用过程的计算实例。
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引用次数: 2
Analysis of standard clustering algorithms for grouping MEDLINE abstracts into evidence-based medicine intervention categories MEDLINE摘要循证医学干预分类标准聚类算法分析
V. Dobrynin, Y. Balykina, M. Kamalov
The paper describes a process of clustering of article abstracts, taken from the largest bibliographic life sciences and biomedical information MEDLINE database into categories that correspond to types of medical interventions - types of patient treatments. Experiments were carried out to evaluate the quality of clustering for the following algorithms: K-means; K-means++; Hierarchical clustering, SIB (Sequential information bottleneck) together with the LSA (Latent Semantic Analysis) methods and MI (Mutual Information) which allow selecting feature vectors. Best results of clustering were achieved by K-means++ together with LSA then 210-dimensional space was chosen: Purity = 0.5719, Entropy = 1.3841, Normalized Entropy = 0.6299.
本文描述了文章摘要聚类的过程,文章摘要取自最大的书目生命科学和生物医学信息MEDLINE数据库,按医疗干预类型(患者治疗类型)分类。实验评估了以下算法的聚类质量:K-means;k - means + +;分层聚类,SIB(顺序信息瓶颈),以及LSA(潜在语义分析)方法和MI(互信息)方法,允许选择特征向量。k -means++结合LSA聚类效果最好,选择210维空间:纯度= 0.5719,熵= 1.3841,归一化熵= 0.6299。
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引用次数: 1
The method of clusters stability assessing 聚类稳定性评价方法
Aleksejs Lozkins, V. Bure
The article proposes a method for estimation of “correct” number of clusters. The stability methodology is used and quantative stability level assessment is introduced. This problem is important and common in cluster analysis and do not have unique criterion for all dataset types. The suggested approach solves one more problem. Often in socio-economics information analysis there are situations when initial numerical data contains various kinds of inaccuracies (measurement errors, intentional misrepresentations, errors of calculation, errors of mathematical model and other possible sources of errors). In this regard, it is important to choose those classifications of study objects which have the stability property with respect to random noise. The work is aimed to get a reliable and accurate clustering which is stable with respect to random perturbations and solves “ill posed” problems in clustering analysis, i.e. to find suggested number of clusters. In current paper the probabilistic approach to problem resolving is being offered. The variability frequency based on random perturbation is introduced and examined as a main metric for assessing clustering results. This estimation can be used for different clustering algorithms and their stability indices can be compared without additional procedures. The experiment on artificial data using the k-mean clustering approach is carried out.
本文提出了一种估计“正确”聚类数量的方法。采用了稳定性方法,并引入了定量的稳定性水平评价方法。这个问题在聚类分析中很重要也很常见,并不是所有数据集类型都有唯一的标准。建议的方法又解决了一个问题。通常在社会经济信息分析中,初始数值数据包含各种不准确性(测量错误、故意歪曲、计算错误、数学模型错误和其他可能的错误来源)。在这方面,选择那些对随机噪声具有稳定性的研究对象分类是很重要的。这项工作的目的是得到一个可靠和准确的聚类,它相对于随机扰动是稳定的,并解决聚类分析中的“病态”问题,即找到建议的聚类数量。本文提出了问题求解的概率方法。引入并检验了基于随机扰动的变异频率作为评价聚类结果的主要指标。这种估计可以用于不同的聚类算法,并且可以比较它们的稳定性指标,而不需要额外的步骤。利用k-均值聚类方法对人工数据进行了实验。
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引用次数: 1
Budget allocation planning for multi-sectoral investments 多部门投资预算分配规划
Y. Balykina, V. Zakharov
The budget system of any local authorities and government provides the means to decide how much money to spend or how many resources to allocate to government institutions or agencies for the purposes of regional social-economic development. In the paper the Rolling Support Planning Algorithm (RSP Algorithm) is represented, which can be used for budget allocation for a given time horizon based on Key Performance Indicators (KPIs) which are formed by the budget framework policy context. This algorithm allows to solve the budget allocation problem in the case when achievement of target values of KPIs are planned in different future periods.
任何地方当局和政府的预算制度都提供了决定为区域社会经济发展的目的花多少钱或分配多少资源给政府机构或机构的手段。本文提出了滚动支持规划算法(RSP算法),该算法可以根据预算框架政策上下文形成的关键绩效指标(kpi)在给定时间范围内进行预算分配。该算法可以解决在未来不同时期计划实现kpi目标值时的预算分配问题。
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引用次数: 1
Mathematical model of the bending of SD-beams sd梁弯曲的数学模型
G. Pavilaynen
The bending of the vertical beams caused by the SD-effect under a concentrated load at the end of the beam is considered. For the solution of the problem, the Ilyushin model of perfect plasticity is used. The problem is solved analytically and numerically. As an example of the material with the SD-effect A40X-steel is considered. The solutions for the beams made of an isotropic material and of a material with the SD-effect are compared.
考虑了在梁端集中荷载作用下,由sd效应引起的垂直梁的弯曲。为了解决这一问题,采用了完全塑性的Ilyushin模型。用解析法和数值法解决了这个问题。以具有sd效应的a40x钢为例。比较了各向同性材料和具有sd效应的材料梁的解。
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引用次数: 0
Modification of Robson's algorithm for finding maximum independent set in undirected graph 无向图中求最大独立集的Robson算法的改进
I. V. Olemskoy, O. S. Firyulina
The problem of finding the maximum independent set of vertices in an undirected graph is considered. The modification of Robson's algorithm for determining the elements of maximum independent set is proposed.
研究了求无向图中最大独立顶点集的问题。提出了确定最大独立集元素的Robson算法的改进。
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引用次数: 2
期刊
2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)
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