Slice Sampling has emerged as a powerful Markov Chain Monte Carlo algorithm that adapts to the characteristics of target distribution with minimal hand-tuning. However, Sampling's performance is highly sensitive user-specified initial length scale hyperparameter and method generally struggles poorly scaled or strongly correlated distributions. This paper introduces Ensemble (ESS), new class alg...

Quantum advantage, benchmarking the computational power of quantum machines outperforming all classical computers in a specific task, represents crucial milestone developing and has been driving different physical implementations since concept was proposed. A boson sampling machine, an analog computer that only requires multiphoton interference single-photon detection, is considered to be promi...

In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the post-stratification approach. We also compare the efficiency of resulting estimators together with Murthy's estimator. We show that in despite of general belief, the strategy consisting of inverse s...