Rounded with a sleep.

Deconvolution is usually regarded as one of the ill-posed problems in applied mathematics if no constraints on the unknowns are assumed. In this paper, we discuss the idea of welldefined statistical models being a counterpart of the notion of well-posedness. We show that constraints on the unknowns such as positivity and sparsity can go a long way towards overcoming the ill-posedness in deconvo...

In this thesis, we investigate using the new generation of programmable Graphics Processing Units (GPUs) which support floating point computations for statistical restoration of ultrasound images. Deconvolution is a widely used method of recovering an image from degradation caused by blurring, and thus increasing the image quality. We present a modified Bayesian 2D deconvolution method which pr...

In homomorphic encryption schemes, anyone can perform homomorphic operations, and therefore, it is difficult to manage when, where and by whom they are performed. In addition, the property that anyone can “freely” perform the operation inevitably means that ciphertexts are malleable, and it is well-known that adaptive chosen ciphertext (CCA) security and the homomorphic property can never be ac...

Association rule mining algorithm provides a means for determining rules and patterns from a large collection of data. However, when two sites want to engage in an association rule mining, data privacy concerns are raised. These concerns include loosing a competitive edge in the market place and breaching privacy laws. Techniques that have addressed this problem are data perturbation and homomo...