70 citations · 229 across the 50 of their papers we have counts for
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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…
Layerwise computability and image randomness
Laurent Bienvenu, Mathieu Hoyrup, Alexander Shen
Algorithmic randomness theory starts with a notion of an individual random object. To be reasonable, this notion should have some natural properties; in particular, an object shoul…
Algorithmic statistics: forty years later
Nikolai Vereshchagin, Alexander Shen
Algorithmic statistics has two different (and almost orthogonal) motivations. From the philosophical point of view, it tries to formalize how the statistics works and why some stat…