4 citations · 18 across the 15 of their papers we have counts for
4 papers · 1 filter
Sharp Bounds Between Two Rényi Entropies of Distinct Positive Orders
Yuta Sakai, Ken-ichi Iwata
Many axiomatic definitions of entropy, such as the Rényi entropy, of a random variable are closely related to the -norm of its probability distribution. This study consider…
A Generalized Erasure Channel in the Sense of Polarization for Binary Erasure Channels
Yuta Sakai, Ken-ichi Iwata
The polar transformation of a binary erasure channel (BEC) can be exactly approximated by other BECs. Arıkan proposed that polar codes for a BEC can be efficiently constructed by u…
Relations Between Conditional Shannon Entropy and Expectation of -Norm
Yuta Sakai, Ken-ichi Iwata
The paper examines relationships between the conditional Shannon entropy and the expectation of -norm for joint probability distributions. More precisely, we investigate th…
Extremal Relations Between Shannon Entropy and -Norm
Yuta Sakai, Ken-ichi Iwata
The paper examines relationships between the Shannon entropy and the -norm for -ary probability vectors, . More precisely, we investigate the tight bounds of th…