Clustering is traditionally one of the basic tools of data analysis widely applied in diverse fields. By now, one of the most common clustering models is the Euclidean minimum-sum-of-squares clustering problem (MSSC)....
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Object detection and recognition is an important task in many document analysis applications. It is a difficult problem due to different page layouts and representation formats. Recently the deep learning in computer ...
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This paper describes a platform approach to the organization of digital environmental monitoring of the forest resources of the Baikal natural territory (BNT), some characteristics of the current state of forests in t...
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The paper presents a problem formulation for the development of a theoretical and software framework for creating systems of data extraction from arbitrary spreadsheet tables. The problem covers the tasks of the autom...
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We consider the linear stationary systems of ordinary differential equations (ODEs) that are unsolvedwith respect to the derivative of the unknown vector-function and degenerate identically in the domain of definition...
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Abstract: We study the system of two fourth-order nonlinear hyperbolic partial differentialequations. The right-hand sides of the equations contain double Laplace operators and the squaresof the gradients of the sough...
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Under consideration is the well-known problem of relative equilibria (an equilibrium position in the orbital coordinate system) of a gyrostat satellite and their dependence on the design parameters. A new geometric ap...
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Today, PDF is one of the most popular document formats in the web. Many PDF documents are not images, but remain untagged. They have no tags for identifying the logical reading order, para- graphs, figures, and tables...
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ISBN:
(纸本)9781450344388
Today, PDF is one of the most popular document formats in the web. Many PDF documents are not images, but remain untagged. They have no tags for identifying the logical reading order, para- graphs, figures, and tables. One of the challenges with these doc- uments is how to extract tables from them. The paper discusses a new system for table structure recognition in untagged PDF doc- uments. It is formulated as a set of configurable parameters and ad-hoc heuristics for recovering table cells. We consider two dif- ferent configurations for the system and demonstrate experimental results based on the existing competition dataset for both of them.
Under consideration is some system of ordinary differential equations with power nonlinearities. These systems are widely used in mathematical biology and chemical kinetics, and can also occur by reduction of more sop...
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The paper deals with the problem of optimal packing of two sets of circles (2-D spheres) into a simply connected container. The number of circles is given. The radii of these circles are equal within each set, but, ge...
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The paper deals with the problem of optimal packing of two sets of circles (2-D spheres) into a simply connected container. The number of circles is given. The radii of these circles are equal within each set, but, generally speaking, they differ between sets. There are two different statements of a such problem. The simplest one is when the circles of a larger radius are located first, and then smaller circles are packed into the gaps. Solving of a such problem, in fact, reduces to a two-fold solution of the equal circles packing problem. However, the procedure is complicated by the fact that in the second solution the container will be a multiply connected set. We consider a more complex formulation: it is required to maximize the radii of the circles when their ratio is fixed. The circle packing problem is usually studied in the case when the distance between points is Euclidean and even then belongs to the class of NP-hard problems. We assume that the distance is determined by means of some special metric, which, generally speaking, is not Euclidean. The special numerical algorithm is suggested and implemented. It based on optical-geometric approach, which is developed by the authors in recent years and previously used only for packing circles of equal radius. The results of computational experiment are presented and discussed.
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