Computational Methods for Parameter Estimation and Optimal Experimental Design

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:a542886140
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  Experimentalists face the dilemma of choosing between the accuracy and costs of an experiment.Optimization methods form the basic computational tools to address fundamental questions of optimal experimental design.Driven by its application,optimal experimental design leads to challenging Bayes risk minimization problems.We address challenges such as ill-posedness of the parameter estimation problem and large scales of ODE systems.We present a design framework for dynamical systems and illustrate its performance on biological models.
其他文献
  This presentation first introduces the control problem of distributed parameter systems and its application background.Some certain unique challenges,like n
会议
  This study is a geometric version of Ball's work,Philos.Trans.Roy.Soc.London Ser.A 306(1982),no.1496,557-611.Radial deformations in Riemannian manifolds are
会议
  We propose a numerical far field boundary condition for anisotropic Laplace operator on arbitrary star-shaped domains.With a proper change of variable in th
会议
  To our knowledge,there are much less works on the uniform convergence of numerical methods for singularly perturbed Volterra integrodifferential equations(V
会议
  We develop a technique based on a polynomial chaos expansion for solving Darcy equation in stochastic porous media.For the input hydraulic conductivity rand
会议
  Comparing with fixed wing unmanned aerial vehicles,the miniature rotary unmanned aerial vehicle has a simpler and compacter mechanical configuration,and is
会议
  We analyze Laplace method in the context of optimal Bayesian experimental design and extend this method from the classical scenario,where a single dominant
会议
  One often encounters difficulties in Monte-Carlo simulations of complex stochastic processes.For example,sometimes hyperbolic components appear in a formal
会议
  A hybrid approach for solving Laplace equation in 3-D domains is presented.It bases on a local method for the Dirichlet-Neumann(DtN)mapping of a Laplace equ
会议
  How to select a sequence of experiments that maximizes value of experimental data? We formulate this optimal sequential experimental design problem by maxim
会议