Stochastic rounding with few random bits can be systematically biased; the paper derives the bias and proposes a correction that keeps the rounding unbiased.
Stochastic rounding variance and probabilistic bounds: A new approach,
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On Stochastic Rounding with Few Random Bits
Stochastic rounding with few random bits can be systematically biased; the paper derives the bias and proposes a correction that keeps the rounding unbiased.