• Title/Summary/Keyword: a linear theory

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Support Vector Machine for Linear Regression

  • Hwang, Changha;Seok, Kyungha
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.337-344
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    • 1999
  • Support vector machine(SVM) is a new and very promising regression and classification technique developed by Vapnik and his group at AT&T Bell laboratories. This article provides a brief overview of SVM focusing on linear regression. We explain from statistical point of view why SVM might be attractive and how this could be compared with other linear regression techniques. Furthermore. we explain model selection based on VC-theory.

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LPD(Linear Parameter Dependent) System Modeling and Control of Two Wheeled Mobile Robot

  • Kang, Jin-Shig
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.76.2-76
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    • 2002
  • Because of the wheeled mobile robot is modeled by nonlinear system framework and controlled by nonlinear algorithms or fuzzy algorithms, the treatment of wheeled mobile robot is very complecate and conservative. In this paper, a new model of two wheeled mobile robot, which is a type of linear system and treated easily, is presented. And we will show that the control algorithms based on the linear system theory is well work to the wheeled mobile robot by simulation and experiment.

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SOME LOCAL SPECTRAL PROPERTIES OF T AND S WITH AT - SA = 0

  • Yoo, Jong-Kwang;Han, Hyuk
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1263-1272
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    • 2008
  • Let T and S be bounded linear operators on Banach spaces X and y, respectively. A linear map A : X ${\rightarrow}$ y is said to be an intertwiner if AT - SA = 0. In this paper we study the relation between local spectral properties of T and S on the assumption of AT - SA = 0. We give some example of intertwiner with T and S.

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Linear-Quadratic Detectors for Spectrum Sensing

  • Biglieri, Ezio;Lops, Marco
    • Journal of Communications and Networks
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    • v.16 no.5
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    • pp.485-492
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    • 2014
  • Spectrum sensing for cognitive-radio applications may use a matched-filter detector (in the presence of full knowledge of the signal that may be transmitted by the primary user) or an energy detector (when that knowledge is missing). An intermediate situation occurs when the primary signal is imperfectly known, in which case we advocate the use of a linear-quadratic detector. We show how this detector can be designed by maximizing its deflection, and, using moment-bound theory, we examine its robustness to the variations of the actual probability distribution of the inaccurately known primary signal.

Verification of Calculated Hydrodynamic Forces Acting on Submerged Floating Railway In Waves (파랑 중 해중철도에 작용하는 유체력 계산 및 검증)

  • Seo, Sung-Il;Mun, Hyung-Seok;Lee, Jin-Ho;Kim, Jin-Ha
    • Journal of the Korean Society for Railway
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    • v.17 no.6
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    • pp.397-401
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    • 2014
  • In order to rationally design a new conceptual submerged floating railway, prediction of wave forces applied to the structure is very important. In this paper, equations to calculate such forces based on hydrodynamic theories were proposed and model tests were carried out. Inertia forces and drag forces, calculated using Morison's equation and the linear small amplitude wave theory, were in good agreement with the results from model tests conducted in a wave making tank. Drag forces were negligible compared with inertia forces. Also, wave forces showed linear variation with the changing wave heights. It was revealed that the linear wave theory and Morison's equation can give a simple and useful solution for the prediction of wave forces in the initial design stage of a submerged floating railway.

Design charts for estimating the consolidation times of reclaimed marine clays in Korea

  • Sang-Hyun Jun;Byung-Soo Park;Hyuk-Jae Kwon;Jong-Ho Lee
    • Geomechanics and Engineering
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    • v.32 no.1
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    • pp.1-20
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    • 2023
  • To predict the consolidation behavior of dredged and reclaimed marine clays exhibiting consolidation settlement with large strains, the finite strain consolidation theory must be used. However, challenges in appropriately applying the theory and determining input parameters make design and analysis studies difficult. To address these challenges, design charts for predicting the consolidation settlement of reclaimed marine clays are developed by a numerical approach based on the finite strain consolidation theory. To prepare the design charts, a sensitivity analysis of parameters is performed, and influencing parameters, such as initial void ratio and initial height, as well as the non-linear constitutive void ratio-effective stresspermeability relation, are confirmed. Six representative Korean marine clays obtained from different locations with different liquid limits are used. The design charts for estimating the consolidation times corresponding to various degrees of consolidation are proposed for each of the six representative clays. The consolidation settlements predicted from the design charts are compared to those in previous studies and at an actual construction site and are found to agree well with them. The proposed design charts can therefore be used to solve problems related to the consolidation of reclaimed marine clays having large strains.

OPTIMALITY CONDITIONS AND AN ALGORITHM FOR LINEAR-QUADRATIC BILEVEL PROGRAMMING

  • Malhotra, Neelam;Arora, S.R.
    • Management Science and Financial Engineering
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    • v.7 no.1
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    • pp.41-56
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    • 2001
  • This linear fractional - quadratic bilevel programming problem, in which the leader's objective function is a linear fractional function and the follower's objective function is a quadratic function, is studied in this paper. The leader's and the follower's variables are related by linear constraints. The derivations of the optimality conditions are based on Kuhn-Tucker conditions and the duality theory. It is also shown that the original linear fractional - quadratic bilevel programming problem can be solved by solving a standard linear fractional program and the optimal solution of the original problem can be achieved at one of the extreme point of a convex polyhedral formed by the new feasible region. The algorithm is illustrated with the help of an example.

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Non-linear Modelling for the Vibration Analysis of a Rotating Thin Ring (회전하는 얇은 링의 진동해석을 위한 비선형 모델링)

  • 김원석;정진태
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.319-324
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    • 2001
  • Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton's principle, the coupled non-linear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from three non-linear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the non- linear behavior more precisely.

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Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column (비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가)

  • 주기호;정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.215-219
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    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

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