Inverse HuaLuogeng’s “Exception Set” Method

A Level Set Method for Inverse Problems

A piecewise constant level set method for elliptic inverse problems

We apply a piecewise constant level set method to elliptic inverse problems. The discontinuity of the coefficients is represented implicitly by a piecewise constant level set function, which allows to use one level set function to represent multiple phases. The inverse problem is solved using a variational penalization method with the total variation regularization of the coefficients. An opera...

A Bayesian level set method for geometric inverse problems

We introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the level set of a function. This function itself becomes the object of the inference. Whilst the level set methodology has been widely used for the solution of geometric inverse problems, the Bayesian formulation that w...

On Inverse Frequent Set Mining

Frequent set mining is a well-known technique to summarize binary data. However, it is an open problem how difficult it is to invert the frequent set mining, i.e., how difficult it is to find a binary data set that is compatible with frequent set mining results, the frequent sets. This inverse data mining problem is related to the questions of how well privacy is preserved in the frequent sets ...

Inverse Discrete Wavelet Transform Simplified data set

Nowadays portable devices with more number of sensors are used for gait assessment and monitoring for elderly and disabled. However, the problem with using multiple sensors is that if they are placed on the same platform or base, there could be cross talk between them, which could change the signal amplitude or add noise to the signal. Hence, this study uses wavelet PCA as a signal processing t...