Probability Distributions.- Linear Models for Regression.- Linear Models for Classification.- Neural Networks.- Kernel Methods.- Sparse Kernel Machines.- Graphical Models.- Mixture Models and EM.- Approximate Inference.- Sampling Methods.- Continuous Latent Variables.- Sequential Data.- Combining Models.

Pattern Recognition and Machine Learning

: One use of spectral analysis of time series is to determine if two different time series are realizations from the same process This thesis develops the theory behind Krishnaiah and Schuurmann's theoretical work reported in their report Approximations to the Distributions of the Traces of Complex Multivariate Beta and F Matrices We take the trace of a test statistic calculated from the spectral density matrices of the time series and test it The thesis applies the theory to two small sample simulations (Author)

Spectral Analysis of Time Series.

「確率有限要素法」(Stochastic Finite Element Method)

An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

Experimental investigations of thermal and flow characteristics of curved trapezoidal winglet type vortex generators

Membrane elements insensitive to distortion using the quadrilateral area coordinate method

8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes

The quadrilateral area co-ordinate method is used to formulate a new quadrilateral element for Mindlin–Reissner plate bending problem. Firstly, an independent shear field is assumed based on the locking-free Timoshenko's beam formulae; secondly, a fourth-order deflection field is assumed by introducing some generalized conforming conditions; thirdly, the rotation field is determined by the strain–displacement relations. Furthermore, a hybrid post-processing procedure is suggested to improve the stress/internal force solutions. Following this procedure, a new 4-node, 12-dof quadrilateral element, named AC-MQ4, is successfully constructed. Since all formulations are expressed by the area co-ordinates, element AC-MQ4 presents some different, but beneficial characters when compared with other usual models. Numerical examples show the new element is free of shear locking, insensitive to mesh distortion, and possesses excellent accuracy in the analysis of both thick and thin plates. It has also been demonstrated that the area co-ordinate method, the generalized conforming condition method, and the hybrid post-processing procedure are efficient tools for developing simple, effective and reliable finite element models. Copyright © 2005 John Wiley & Sons, Ltd.

Application of the quadrilateral area co-ordinate method: a new element for Mindlin–Reissner plate

A 4-node hybrid stress-function (HS-F) plane element with drilling degrees of freedom less sensitive to severe mesh distortions

A simple quadrilateral 12 DOF plate bending element based on Reissner–Mindlin theory for analysis of thick and thin plates is presented in this paper. This element is constructed by the following procedure: 1. the variation functions of the rotation and shear strain along each side of the element are determined using Timoshenko's beam theory; and 2. the rotation, curvature and shear strain fields in the domain of the element are then determined using the technique of improved interpolation. 
The proposed element, denoted by ARS-Q12, is robust and free of shear locking and, thus, it can be employed to analyze very thin plate. Numerical examples show that the proposed element is a high performance element for thick and thin plates.

Song Cen

Papers

Membrane elements insensitive to distortion using the quadrilateral area coordinate method

8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes

Application of the quadrilateral area co-ordinate method: a new element for Mindlin–Reissner plate

A 4-node hybrid stress-function (HS-F) plane element with drilling degrees of freedom less sensitive to severe mesh distortions

A new twelve DOF quadrilateral element for analysis of thick and thin plates