• Title/Summary/Keyword: discretization process

Search Result 83, Processing Time 0.022 seconds

Incremental Generation of A Decision Tree Using Global Discretization For Large Data (대용량 데이터를 위한 전역적 범주화를 이용한 결정 트리의 순차적 생성)

  • Han, Kyong-Sik;Lee, Soo-Won
    • The KIPS Transactions:PartB
    • /
    • v.12B no.4 s.100
    • /
    • pp.487-498
    • /
    • 2005
  • Recently, It has focused on decision tree algorithm that can handle large dataset. However, because most of these algorithms for large datasets process data in a batch mode, if new data is added, they have to rebuild the tree from scratch. h more efficient approach to reducing the cost problem of rebuilding is an approach that builds a tree incrementally. Representative algorithms for incremental tree construction methods are BOAT and ITI and most of these algorithms use a local discretization method to handle the numeric data type. However, because a discretization requires sorted numeric data in situation of processing large data sets, a global discretization method that sorts all data only once is more suitable than a local discretization method that sorts in every node. This paper proposes an incremental tree construction method that efficiently rebuilds a tree using a global discretization method to handle the numeric data type. When new data is added, new categories influenced by the data should be recreated, and then the tree structure should be changed in accordance with category changes. This paper proposes a method that extracts sample points and performs discretiration from these sample points to recreate categories efficiently and uses confidence intervals and a tree restructuring method to adjust tree structure to category changes. In this study, an experiment using people database was made to compare the proposed method with the existing one that uses a local discretization.

Discretization Effects of Real-Time Input Shaping in Residual Vibration Reduction for Precise XY Stage (정밀 XY 스테이지 잔류진동 억제를 위한 실시간 입력성형에서의 이산화 효과에 관한 연구)

  • Park, Sang-Won;Choi, Hun-Seok;Singhose, William;Hong, Seong-Wook
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.16 no.4
    • /
    • pp.71-78
    • /
    • 2007
  • Input shaping is known to be a very effective tool for suppressing residual vibration without introducing any complicated sensors and feedback control. Real-time input shaping schemes necessitate a process such that the input command is discretized to deal with non-prescribed, real-time input. Thus parameters associated with input command discretization, such as time spacing and duration time, are unknowns which affect the performance of input shaping schemes, especially for small and fast XY stages. This paper investigates the effects of input command discretization parameters, such as time spacing and duration time, on the dynamic performance of XY stages subjected to real-time input shaping. An experimental system is developed which is equipped with an XY stage driven by servo-motors and real-time user command. Experiments are performed to investigate the dynamic performance of XY stage by changing these parameters and to yield a strategy to gain better performance.

Application of the Unstructured Finite Element to Longitudinal Vibration Analysis (종방향 진동해석에 비구조적 유한요소 적용)

  • Kim Chi-Kyung
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.19 no.1 s.71
    • /
    • pp.39-46
    • /
    • 2006
  • This paper analyzes the continuous Galerkin method for the space-time discretization of wave equation. The method of space-time finite elements enables the simple solution than the usual finite element analysis with discretization in space only. We present a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period called a time slab. The weighted residual process is used to formulate a finite element method for a space-time domain. Instability is caused by a too large time step in successive time steps. A stability problem is described and some investigations for chosen types of rectangular space-time finite elements are carried out. Some numerical examples prove the efficiency of the described method under determined limitations.

Time Series Representation Combining PIPs Detection and Persist Discretization Techniques for Time Series Classification (시계열 분류를 위한 PIPs 탐지와 Persist 이산화 기법들을 결합한 시계열 표현)

  • Park, Sang-Ho;Lee, Ju-Hong
    • The Journal of the Korea Contents Association
    • /
    • v.10 no.9
    • /
    • pp.97-106
    • /
    • 2010
  • Various time series representation methods have been suggested in order to process time series data efficiently and effectively. SAX is the representative time series representation method combining segmentation and discretization techniques, which has been successfully applied to the time series classification task. But SAX requires a large number of segments in order to represent the meaningful dynamic patterns of time series accurately, since it loss the dynamic property of time series in the course of smoothing the movement of time series. Therefore, this paper suggests a new time series representation method that combines PIPs detection and Persist discretization techniques. The suggested method represents the dynamic movement of high-diemensional time series in a lower dimensional space by detecting PIPs indicating the important inflection points of time series. And it determines the optimal discretizaton ranges by applying self-transition and marginal probabilities distributions to KL divergence measure. It minimizes the information loss in process of the dimensionality reduction. The suggested method enhances the performance of time series classification task by minimizing the information loss in the course of dimensionality reduction.

Digital Autopilot Design Using $\delta$-Transformation ($\delta$변환에 의한 디지탈 자동조종 장치 설계)

  • 이명의;민종진;권오규
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1989.10a
    • /
    • pp.82-86
    • /
    • 1989
  • In this paper, digital autopilot design methods are investigated and a new method is suggested in order to improve existing problems. The method is based on .delta. transform (1) and overcome numerical problems occurring in the process of discretization. We illustrate design procedures using .delta. transform and suggest a hardware and software structure for digital autopilot implemented by microprocessor.

  • PDF

Autopilot Design Using LQG/LTR Method for a Launch Vehicle (LQG/LTR 기법에 의한 발사체의 자동조종장치 설계)

  • Kim, Seung-Hwan;Kwon, Oh-Kyu
    • Proceedings of the KIEE Conference
    • /
    • 1990.11a
    • /
    • pp.413-416
    • /
    • 1990
  • This paper proposes a design procedure based on the LQG/LTR method for a launch vehicle autopilot. Continuous-discrete type LQG/LTR compensators are designed using the $\delta$-transformation [1] in order to overcome numerical problems occurring in the process of discretization. The $\delta$-LQG/LTR compensator using the $\delta$-transformation is compared with the $\delta$-LQG/LTR compensator using the $\delta$-transformation. The performance of the overall system controlled by the $\delta$-LQG/LTR compensator is evaluated via simulations, which show that the discretization error problem is resolved and the control performances are satisfied in the proposed compensator.

  • PDF

An Adaptive Procedure in Finite Element Analysis of Elastodynamic Problems (적응적 방법을 이용한 동적 유한요소해석)

  • 최창근;정흥진
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1994.04a
    • /
    • pp.1-8
    • /
    • 1994
  • An automated procedure which allows adaptation of spatial and time discretization simultaneously in finite element analysis of linear elastodynamic problems is presented. For dynamic problems having responses dominated by high frequency modes, such as those with impact, explosive, traveling and earthquake loads high gradient stress regions change their locations from time to time. And the time step size may need to vary in order to deal with whole process ranging from transient phase to steady state phase. As the sizes of elements in space vary in different regions, the procedure also permits different time stepping. In such a way, the best performance attainable by the finite element method can be achieved. In this study, we estimate both of the kinetic energy error and stran energy error induced by spatial and time discretization in a consistent manner. Numerical examples are used to demonstrate the performance of the procedure.

  • PDF

Mesh Reconstruction Using Redistibution of Nodes in Sub-domains and Its Application to the Analyses of Metal Forming Problems (영역별 절점재구성을 통한 격자재구성 및 소성가공해석)

  • Hong, Jin-Tae;Yang, Dong-Yol
    • Korean Journal of Computational Design and Engineering
    • /
    • v.12 no.4
    • /
    • pp.255-262
    • /
    • 2007
  • In the finite element analysis of forming process, objects are described with a finite number of elements and nodes and the approximated solutions can be obtained by the variational principle. One of the shortcomings of a finite element analysis is that the structure of mesh has become inefficient and unusable because discretization error increases as deformation proceeds due to severe distortion of elements. If the state of current mesh satisfies a certain remeshing criterion, analysis is stopped instantly and resumed with a reconstructed mesh. In the study, a new remeshing algorithm using tetrahedral elements has been developed, which is adapted to the desired mesh density. In order to reduce the discretization error, desired mesh sizes in each lesion of the workpiece are calculated using the Zinkiewicz and Zhu's a-posteriori error estimation scheme. The pre-constructed mesh is constructed based on the modified point insertion technique which is adapted to the density function. The object domain is divided into uniformly-sized sub-domains and the numbers of nodes in each sub-domain are redistributed, respectively. After finishing the redistribution process of nodes, a tetrahedral mesh is reconstructed with the redistributed nodes, which is adapted to the density map and resulting in good mesh quality. A goodness and adaptability of the constructed mesh is verified with a testing measure. The proposed remeshing technique is applied to the finite element analyses of forging processes.

Optimal control formulation in the sense of Caputo derivatives: Solution of hereditary properties of inter and intra cells

  • Muzamal Hussain;Saima Akram;Mohamed A. Khadimallah;Madeeha Tahir;Shabir Ahmad;Mohammed Alsaigh;Abdelouahed Tounsi
    • Steel and Composite Structures
    • /
    • v.48 no.6
    • /
    • pp.611-623
    • /
    • 2023
  • This work considered an optimal control formulation in the sense of Caputo derivatives. The optimality of the fractional optimal control problem. The tumor immune interaction in fractional form provides an excellent tool for the description of memory and hereditary properties of inter and intra cells. So the interaction between effector-cells, tumor cells and are modeled by using the definition of Caputo fractional order derivative that provides the system with long-time memory and gives extra degree of freedom. In addiltion, existence and local stability of fixed points are investigated for discrete model. Moreover, in order to achieve more efficient computational results of fractional-order system, a discretization process is performed to obtain its discrete counterpart. Our technique likewise allows the advancement of results, such as return time to baseline that are unrealistic with current model solvers.

Numerical analysis of a flow field in gas atomization process using a TVD scheme (TVD기법을 이용한 가스 분무 공정의 유동장 해석)

  • Shim Eun Bo
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1996.05a
    • /
    • pp.131-136
    • /
    • 1996
  • The numerical method for the flow field of a gas atomization process is presented. For the analysis of the compressible supersonic jet flow of a gas. an axisymmetric Navier-Stokes equations are solved using a LU-factored upwind method. The MUSCL type TVD scheme is used for the discretization of inviscid flux, whereas Steger-Warming splitting and LU factorization is applied to the implicit operator. For the validation of the present method, we computed the flow field around the simple gas atomizer proposed by Issac. The numerical results has shown excellent agreement with the experimental data.

  • PDF