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cs.IT2026
An information identity reveals the geometry of deviation events
Akshay Balsubramani
In a deviation event, the empirical measure of independent draws lands in a set of distributions. The exponent of its probability splits, at every , into two nonnegative ter…
cs.IT2026
All you need is log
Akshay Balsubramani
How different are several probability distributions from one another? For two distributions the standard answer is the family of Rényi divergences, singled out by two natural requi…
cs.IT2026
Information from coincidences
Akshay Balsubramani
We prove a single algebraic mixed coincidence identity that unifies a broad swath of information-theoretic variational results. For any family of priors and real exponent…