1 citations · 1 across the 3 of their papers we have counts for
5 papers
Fine asymptotics for approximate simulation of symmetric channels
Valentinian Lungu, Aaron B. Wagner, Ioannis Kontoyiannis
We study the approximate channel simulation problem in the normal approximation regime. Our starting point is the fact established by Cao et al.~\cite{Cao_channel_simulation}, that…
The relative value of interventional and observational samples in Bayesian Causal Linear Gaussian Models
Valentinian Lungu, Anish Dhir, Mark van der Wilk +1
We investigate the asymptotic properties of Bayesian bivariate causal discovery for Gaussian Linear Structural Equation Models (SEMs) with heteroscedastic noise. We demonstrate tha…
Shakespeare, Entropy and Educated Monkeys
Ioannis Kontoyiannis
It has often been said, correctly, that a monkey forever randomly typing on a keyboard would eventually produce the complete works of William Shakespeare. Almost just as often it h…
Bayesian causal discovery: Posterior concentration and optimal detection
Valentinian Lungu, Joni Shaska, Ioannis Kontoyiannis +1
We consider the problem of Bayesian causal discovery for the standard model of linear structural equations with equivariant Gaussian noise. A uniform prior is placed on the space o…
Finite-sample expansions for the optimal error probability in asymmetric binary hypothesis testing
Valentinian Lungu, Ioannis Kontoyiannis
The problem of binary hypothesis testing between two probability measures is considered. New sharp bounds are derived for the best achievable error probability of such tests based…