• 제목/요약/키워드: a priori

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레이더 응용을 위한 다중표적 추적 연구 (A Study of Multi-Target tracking for Radar application)

  • Lee, Yang-Weon;Na, Hyun-Shik
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2000년도 하계종합학술대회논문집
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    • pp.5-8
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    • 2000
  • This paper introduced a scheme for finding an optimal association matrix that represents the relationships between the measurements and tracks in multi-target tracking of Radar system. We considered the relationships between targets and measurements as MRF and assumed a priori of the associations as a Gibbs distribution. Based on these assumptions, it was possible to reduce the MAP estimate of the association matrix to the energy minimization problem. After then, we defined an energy function over the measurement space, that may incorporate most of the important natural constraints.

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GLOBAL ATTRACTOR FOR A SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY IN UNBOUNDED DOMAINS

  • Tu, Nguyen Xuan
    • 대한수학회논문집
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    • 제37권2호
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    • pp.423-443
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    • 2022
  • We study the existence and long-time behavior of weak solutions to a class of strongly degenerate semilinear parabolic equations with exponential nonlinearities on ℝN. To overcome some significant difficulty caused by the lack of compactness of the embeddings, the existence of a global attractor is proved by combining the tail estimates method and the asymptotic a priori estimate method.

CURVATURE ESTIMATES FOR A CLASS OF FULLY NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL RIGHT HAND SIDES

  • Jundong Zhou
    • 대한수학회보
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    • 제61권2호
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    • pp.355-379
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    • 2024
  • In this paper, we establish the curvature estimates for a class of curvature equations with general right hand sides depending on the gradient. We show an existence result by using the continuity method based on a priori estimates. We also derive interior curvature bounds for solutions of a class of curvature equations subject to affine Dirichlet data.

대수적 재구성법과 2차원 수치모델링 및 역산 집합에 기반한 3차원 자력역산 소프트웨어 (A 3D Magnetic Inversion Software Based on Algebraic Reconstruction Technique and Assemblage of the 2D Forward Modeling and Inversion)

  • 고광범;정상원;한경수
    • 지구물리와물리탐사
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    • 제16권1호
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    • pp.27-35
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    • 2013
  • 본 연구를 통하여 3차원 자력역산 소프트웨어 시작품(KMag3D, 가칭)을 개발하고 개발 시 역점사항을 사용자 매뉴얼 형식으로 소개하였다. KMag3D는 다음 두 가지 사항을 기본 뼈대로 구성되었다. 첫째, 지금까지 자력역산에 일반적으로 적용되는 최소제곱법에 의한 방법 대신 대수적 재구성법에 기반한 알고리즘을 도입하였다. 이는 계산시간과 기억용량을 획기적으로 줄여 3차원 자력역산을 매우 효율적으로 수행한다. 둘째, 대수적 재구성법에 의한 3차원 역산에 필요한 초기모형과 사전정보 모형을 결정하는 데 2차원 수치모델링 및 역산 집합과 주향방향 내삽을 이용하는 방법을 제시하였다. 이는 3차원 역산 알고리즘에 사전정보를 효율적으로 적용하며 특히 매우 실용적임을 보여주었다.

STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE III RESPONSE FUNCTION AND CROSS-DIFFUSION

  • Liu, Jia;Lin, Zhigui
    • 대한수학회보
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    • 제47권2호
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    • pp.251-261
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    • 2010
  • This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.

BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES

  • Galperin, Anatoly M.
    • 대한수학회지
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    • 제52권1호
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    • pp.43-65
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    • 2015
  • We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.

Receding Horizon FIR Parameter Estimation for Stochastic Systems

  • Lee, Kwan-Ho;Han, Soo-Hee;Lee, Changhun;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.159.1-159
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    • 2001
  • A new time-domain FIR parameter estimation called the receding horizon least square estimation (RHLSE) is suggested for stochastic systems by combining the well known least square estimation with the receding horizon strategy. It can be always obtained without the requirement of any \textit{a priori} information about the horizon initial parameter. A fast algorithm for the suggested estimation is also presented which is remarkable in the view of computational advantage and simple implementation. It is shown that the proposed estimation is robust against temporary modeling uncertainties due to their FIR structure through simulation studies.

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Information Theoretic Learning with Maximizing Tsallis Entropy

  • Aruga, Nobuhide;Tanaka, Masaru
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -2
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    • pp.810-813
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    • 2002
  • We present the information theoretic learning based on the Tsallis entropy maximization principle for various q. The Tsallis entropy is one of the generalized entropies and is a canonical entropy in the sense of physics. Further, we consider the dependency of the learning on the parameter $\sigma$, which is a standard deviation of an assumed a priori distribution of samples such as Parzen window.

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Adaptive Formulation of the Transition Matrix of Markovian Mobile Communication Channels

  • Park, Seung-Keun
    • The Journal of the Acoustical Society of Korea
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    • 제16권3E호
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    • pp.32-36
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    • 1997
  • This study models mobile communication channels as a discrete finite Markovian process, and Markovian jump linear system having parallel Kalman filter type is applied. What is newly proposed in this paper is an equation for obtaining the transition matrix according to sampling time by using a weighted Gaussian sum approximation and its simple calculation process. Experiments show that the proposed method has superior performance and reuires computation compared to the existing MJLS using the ransition matrix given by a statistical method or from priori information.

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ON THE APPLICATION OF MIXED FINITE ELEMENT METHOD FOR A STRONGLY NONLINEAR SECOND-ORDER HYPERBOLIC EQUATION

  • Jiang, Ziwen;Chen, Huanzhen
    • Journal of applied mathematics & informatics
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    • 제5권1호
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    • pp.23-40
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    • 1998
  • Mixed finite element method is developed to approxi-mate the solution of the initial-boundary value problem for a strongly nonlinear second-order hyperbolic equation in divergence form. Exis-tence and uniqueness of the approximation are proved and optimal-order $L\infty$-in-time $L^2$-in-space a priori error estimates are derived for both the scalar and vector functions approximated by the method.