Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources

Regret Bounds for Deterministic Gaussian Process Bandits

This paper analyzes the problem of Gaussian process (GP) bandits with deterministic observations. The analysis uses a branch and bound algorithm that is related to the UCB algorithm of (Srinivas et al., 2010). For GPs with Gaussian observation noise, with variance strictly greater than zero, (Srinivas et al., 2010) proved that the regret vanishes at the approximate rate of O ( 1 √ t ) , where t...

On Deterministic Models for Gaussian Networks

In this thesis we study wireless networks modeled by the additive white Gaussian noise (AWGN) model. The AWGN capacity region of most network topologies is unknown, which means that the optimal transmission scheme is unknown as well. This motivates the search for capacity approximations and for approximately optimal schemes. Deterministic channel models have been proposed as means to approximat...

Gaussian Process Experts for Voice Conversion

Conventional approaches to voice conversion typically use a GMM to represent the joint probability density of source and target features. This model is then used to perform spectral conversion between speakers. This approach is reasonably effective but can be prone to overfitting and oversmoothing of the target spectra. This paper proposes an alternative scheme that uses a collection of Gaussia...

The Rate of Entropy for Gaussian Processes

In this paper, we show that in order to obtain the Tsallis entropy rate for stochastic processes, we can use the limit of conditional entropy, as it was done for the case of Shannon and Renyi entropy rates. Using that we can obtain Tsallis entropy rate for stationary Gaussian processes. Finally, we derive the relation between Renyi, Shannon and Tsallis entropy rates for stationary Gaussian proc...

Quantum parameter estimation using general single-mode Gaussian states