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cs.GT2018★ 1 cited
Granularity of wagers in games and the possibility of savings
George Barmpalias, Nan Fang
In a casino where arbitrarily small bets are admissible, any betting strategy M can be modified into a savings strategy that, not only is successful on each casino sequence where M…
math.LO2018
Monotonous betting strategies in warped casinos
George Barmpalias, Nan Fang, Andrew Lewis-Pye
Suppose that the outcomes of a roulette table are not entirely random, in the sense that there exists a successful betting strategy. Is there a successful `separable' strategy, in…
math.LO2018
Equivalences between learning of data and probability distributions, and their applications
George Barmpalias, Nan Fang, Frank Stephan
Algorithmic learning theory traditionally studies the learnability of effective infinite binary sequences (reals), while recent work by [Vitanyi and Chater, 2017] and [Bienvenu et…