7 citations · 7 across the 3 of their papers we have counts for
3 papers
math.LO2017
Recent progress on conditional randomness
Hayato Takahashi
In this article, recent progress on ML-randomness with respect to conditional probabilities is reviewed. In particular a new result of conditional randomness with respect to mutual…
math.LO2016★ 7 cited
Conditional probabilities and van Lambalgen theorem revisited
Bruno Bauwens, Alexander Shen, Hayato Takahashi
The definition of conditional probability in case of continuous distributions was an important step in the development of mathematical theory of probabilities. How can we define th…
cs.IT2014
Universal test for Hippocratic randomness
Hayato Takahashi
Hippocratic randomness is defined in a similar way to Martin-Lof randomness, however it does not assume computability of the probability and the existence of universal test is not…