When the information source is a continuous distribution and the rate-distortion function is strictly larger than the Shannon lower bound, the explicit evaluation of the rate-distortion function is not straightforward. We evaluate the rate-distortion …

Since Shannon's seminal work, channel capacity has been a fundamental quantity in information thoery. The general definition is formulated as an optimization problem of a probability measure under some moment constraints. Similarly, the definition of …

We evaluate the rate-distortion function for the i.i.d. gamma sources with respect to the absolute-log distortion measure. The logarithmic transformation reduces this rate-distortion problem to that under the absolute distortion measure. Extending …

We discuss a nonparametric estimation method of the mixing distribution in mixture models. We propose an objective function with one parameter, where its minimization becomes the maximum likelihood estimation or the kernel vector quantization in …