• Title/Summary/Keyword: Convergence Map

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The dynamics of self-organizing feature map with constant learning rate and binary reinforcement function (시불변 학습계수와 이진 강화 함수를 가진 자기 조직화 형상지도 신경회로망의 동적특성)

  • Seok, Jin-Uk;Jo, Seong-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.2
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    • pp.108-114
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    • 1996
  • We present proofs of the stability and convergence of Self-organizing feature map (SOFM) neural network with time-invarient learning rate and binary reinforcement function. One of the major problems in Self-organizing feature map neural network concerns with learning rate-"Kalman Filter" gain in stochsatic control field which is monotone decreasing function and converges to 0 for satisfying minimum variance property. In this paper, we show that the stability and convergence of Self-organizing feature map neural network with time-invariant learning rate. The analysis of the proposed algorithm shows that the stability and convergence is guranteed with exponentially stable and weak convergence properties as well.s as well.

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ON COVERING AND QUOTIENT MAPS FOR 𝓘𝒦-CONVERGENCE IN TOPOLOGICAL SPACES

  • Debajit Hazarika;Ankur Sharmah
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.267-280
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    • 2023
  • In this article, we show that the family of all 𝓘𝒦-open subsets in a topological space forms a topology if 𝒦 is a maximal ideal. We introduce the notion of 𝓘𝒦-covering map and investigate some basic properties. The notion of quotient map is studied in the context of 𝓘𝒦-convergence and the relationship between 𝓘𝒦-continuity and 𝓘𝒦-quotient map is established. We show that for a maximal ideal 𝒦, the properties of continuity and preserving 𝓘𝒦-convergence of a function defined on X coincide if and only if X is an 𝓘𝒦-sequential space.

A System Framework for Map Air Update Navigation Service

  • Min, Kyoung-Wook;An, Kyoung-Hwan;Jang, In-Sung;Jin, Sung-Il
    • ETRI Journal
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    • v.33 no.4
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    • pp.476-486
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    • 2011
  • The quality of navigation service is determined by the accuracy of the available data. For existing navigation services, a full map update is provided in order to keep the map data of mobile devices current. As content and services of mobile devices have recently been diversifying, the size of map data managed in mobile devices has increased, reaching several gigabytes in size. It generally takes tens of minutes to write several gigabytes of data into mobile device storage. For traditional navigation systems, a complicated storage structure called a physical storage format (PSF) is used to assure maximum processing performance of map data in mobile devices within limited resources. Consequently, even though modified navigation map data actually affects only a portion of a map, the full map data is updated because partial updates are not possible. In this paper, a navigation system is studied to solve this difficult partial map update problem. The map air update navigation system, which is the result of this study, provides real-time partial map updating using wireless communications.

Improvement of Topology Algorithm's Convergence Rate Using Chaotic Map (카오틱 맵을 이용한 위상 최적화 알고리즘의 수렴속도 향상)

  • Kim, Yong-Ho;Kim, Gi-Chul;Lee, Jae-Hwan;Jang, Hyo-Jae;Han, Seog-Young
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.3
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    • pp.279-283
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    • 2014
  • Recently, a topology algorithm based on the artificial bee colony algorithm (ABCA) has been proposed for static and dynamic topology optimization. From the results, the convergence rate of the algorithm was determined to be slightly slow. Therefore, we propose a new search method to improve the convergence rate of the algorithm using a chaotic map. We investigate the effect of the chaotic map on the convergence rate of the algorithm in static and dynamic topology optimization. The chaotic map has been applied to three cases, namely, employ bee search, onlooker bee search, and both employ bee as well as onlooker bee search steps. It is verified that the case in which the logistic function of the chaotic map is applied to both employ bee as well as onlooker bee search steps shows the best dynamic topology optimization, improved by 5.89% compared to ABCA. Therefore, it is expected that the proposed algorithm can effectively be applied to dynamic topology optimization to improve the convergence rate.

PRETOPOLOGICAL CONVERGENCE QUOTIENT MAPS

  • Park, Sang-Ho
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.33-40
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    • 1996
  • A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

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Vector Map Simplification Using Poyline Curvature

  • Pham, Ngoc-Giao;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • Journal of Multimedia Information System
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    • v.4 no.4
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    • pp.249-254
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    • 2017
  • Digital vector maps must be compressed effectively for transmission or storage in Web GIS (geographic information system) and mobile GIS applications. This paper presents a polyline compression method that consists of polyline feature-based hybrid simplification and second derivative-based data compression. Experimental results verify that our method has higher simplification and compression efficiency than conventional methods and produces good quality compressed maps.

Co-Pilot Agent for Vehicle/Driver Cooperative and Autonomous Driving

  • Noh, Samyeul;Park, Byungjae;An, Kyounghwan;Koo, Yongbon;Han, Wooyong
    • ETRI Journal
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    • v.37 no.5
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    • pp.1032-1043
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    • 2015
  • ETRI's Co-Pilot project is aimed at the development of an automated vehicle that cooperates with a driver and interacts with other vehicles on the road while obeying traffic rules without collisions. This paper presents a core block within the Co-Pilot system; the block is named "Co-Pilot agent" and consists of several main modules, such as road map generation, decision-making, and trajectory generation. The road map generation builds road map data to provide enhanced and detailed map data. The decision-making, designed to serve situation assessment and behavior planning, evaluates a collision risk of traffic situations and determines maneuvers to follow a global path as well as to avoid collisions. The trajectory generation generates a trajectory to achieve the given maneuver by the decision-making module. The system is implemented in an open-source robot operating system to provide a reusable, hardware-independent software platform; it is then tested on a closed road with other vehicles in several scenarios similar to real road environments to verify that it works properly for cooperative driving with a driver and automated driving.

Encryption Algorithm using Polyline Simplification for GIS Vector Map

  • Bang, N.V.;Lee, Suk-Hwan;Moon, Kwang-Seok;Kwon, Ki-Ryong
    • Journal of Korea Multimedia Society
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    • v.19 no.8
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    • pp.1453-1459
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    • 2016
  • Recently, vector map has developed, used in many domains, and in most cases vector map data contains confidential information which must be kept away from unauthorized users. Moreover, the manufacturing process of a vector map is complex and the maintenance of a digital map requires substantial monetary and human resources. This paper presents the selective encryption scheme based on polyline simplification methods for GIS vector map data protection to store, transmit or distribute to authorized users. Main advantages of our algorithm are random vertices and transformation processes but it still meets requirements of security by random processes, and this algorithm can be implement to many types of vector map formats.

Research on Knowledge Map using Electronic Cultural Atlas (전자문화지도를 활용한 지식지도에 관한 연구)

  • Kang, Ji-Hoon;Moon, Sang-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.6
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    • pp.1381-1387
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    • 2014
  • According to continuous development of information technology, it is needed to make convergence of other disciplines such as humanities and area studies. Among convergence fields related to information technology and humanities/area studies, electronic cultural atlas represents various digitalized cultural information on electronic map using spatial data such as points, lines, and polygons through time, spatial, and subject axises. Knowledge map is to represent special academic information based on electronic cultural atlas. In details, knowledge map can provide integrated information sharing and spread because academic information associated with electronic cultural atlas and data related to per subjects, regions, and period become organically connected. Therefore, knowledge map may be utilized to promote scholastic research and diffuse research result. In this paper, we describe basic concept and composition of knowledge map and propose design method to construct knowledge map.

Selective Encryption Algorithm Using Hybrid Transform for GIS Vector Map

  • Van, Bang Nguyen;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • Journal of Information Processing Systems
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    • v.13 no.1
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    • pp.68-82
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    • 2017
  • Nowadays, geographic information system (GIS) is developed and implemented in many areas. A huge volume of vector map data has been accessed unlawfully by hackers, pirates, or unauthorized users. For this reason, we need the methods that help to protect GIS data for storage, multimedia applications, and transmission. In our paper, a selective encryption method is presented based on vertex randomization and hybrid transform in the GIS vector map. In the proposed algorithm, polylines and polygons are focused as the targets for encryption. Objects are classified in each layer, and all coordinates of the significant objects are encrypted by the key sets generated by using chaotic map before changing them in DWT, DFT domain. Experimental results verify the high efficiency visualization by low complexity, high security performance by random processes.