115 citations · 425 across the 28 of their papers we have counts for
29 papers
Multivariate majorization of continuous statistical experiments
Erkka Haapasalo
We derive sufficient and almost necessary conditions for large sample and catalytic majorization between finite statistical experiments over standard Borel sample spaces. This work…
A complete characterisation of conditional entropies
Roberto Rubboli, Erkka Haapasalo, Marco Tomamichel
Entropies are fundamental measures of uncertainty with central importance in information theory and statistics and applications across all the quantitative sciences. Under a natura…
Multivariate Rényi divergences characterise betting games with multiple lotteries
Andrés F. Ducuara, Erkka Haapasalo, Ryo Takakura
We provide an operational interpretation of the multivariate Rényi divergence in terms of economic-theoretic tasks based on betting, risk aversion, and multiple lotteries. We show…
Barycentric decompositions for extensive monotone divergences
Erkka Haapasalo
We study sets of divergences or dissimilarity measures in a generalized real-algebraic setting which includes the cases of classical and quantum multivariate divergences. We show t…
Conditions for Large-Sample Majorization of Pairs of Flat States in Terms of -z Relative Entropies
Frits Verhagen, Marco Tomamichel, Erkka Haapasalo
We offer the first operational interpretation of the -z relative entropies, a measure of distinguishability between two quantum states introduced by Jakšić et al. and Audenaert…
Matrix Majorization in Large Samples with Varying Support Restrictions
Frits Verhagen, Marco Tomamichel, Erkka Haapasalo
We say that a matrix with non-negative entries majorizes another such matrix if there is a stochastic matrix such that . We study matrix majorization in large sam…