The authors establish a tight FPRAS/hardness phase transition for chi-alpha divergence between Ising models and extend the approach to KL, Rényi, Jensen-Shannon, alpha-divergence, and squared Hellinger.
Complexity of high-dimensional identity testing with coordinate conditional sampling
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On approximating the $f$-divergence between two Ising models
The authors establish a tight FPRAS/hardness phase transition for chi-alpha divergence between Ising models and extend the approach to KL, Rényi, Jensen-Shannon, alpha-divergence, and squared Hellinger.