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lzhw1991's Projects

acousticbem icon acousticbem

Boundary Element Method code for solving acoustic equations.

asybem icon asybem

Exploit high-frequency scattering asymptotics in a Boundary Element Method.

inverseproblem icon inverseproblem

This function inverts ill conditioned matrices using an iterative solution to the Tikhonov regularization problem. It takes three arguments: A, the matrix, l, lambda the contraint, and k, the number of iterations. In this iterative Tikhonov regularization model, also known as ridge regression, I introduce an iterative solution to the ill-posed linear inverse problem. My approach to the inverse problem can be viewed as a generalization of existing methods, where, in addition to the regularization parameter, I introduce a second regularization parameter as the number if iterations. This work is motivated by the fact that the least squares solution does not give a reasonable result when the data matrix is singular or ill-conditioned. Test cases show that the approach is either better or significantly better than existing L2 regularization methods.

inverseproblems icon inverseproblems

Matlab code that implements from scratch various methods used to find solution to optimization and/or ill-posed problems.

irtools icon irtools

MATLAB package of iterative regularization methods and large-scale test problems. This software is described in the paper "IR Tools: A MATLAB Package of Iterative Regularization Methods and Large-Scale Test Problems" that will be published in Numerical Algorithms, 2018.

isogeometricbem icon isogeometricbem

The is an isogeometric boundary element method code for linear elastic problem based on fortran

neural-net-labview-dll icon neural-net-labview-dll

Deep Learning library in Labview. C++-based implementation of a feed-forward neural network. Compilation requires version 3.3.5. of the Eigen library. Additional layer-sharing, GAN and Mixture Density Capability to deal with ill-posed inverse problems. Currently applied to inverse-holography (infer back on the hologram from the light field it creates). Compiled with Visual Studio C++ 2015.

openblas icon openblas

OpenBLAS is an optimized BLAS library based on GotoBLAS2 1.13 BSD version.

regu icon regu

A MATLAB package for analysis and solution of discrete ill-posed problems, developed by Prof. Per Christian Hansen, DTU Compute, Technical University of Denmark.

stk icon stk

The STK is a (not so) Small Toolbox for Kriging. Its primary focus is on the interpolation/regression technique known as kriging, which is very closely related to Splines and Radial Basis Functions, and can be interpreted as a non-parametric Bayesian method using a Gaussian Process (GP) prior.

stokes-flow-simulation icon stokes-flow-simulation

A Matlab implementation of boundary element method (BEM) and method of fundamental solutions (MFS) for simulation of Stokes flow based on traction and velocity boundary conditions.

styles icon styles

Official repository for Citation Style Language (CSL) citation styles.

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