Publications by authors named "Arnaud Marsiglietti"

Article Synopsis
  • A new lower bound on the differential entropy of log-concave random variables is introduced, which links it to their absolute moments.
  • This research leads to a reverse entropy power inequality and establishes improvements in understanding the rate-distortion function and channel capacity for these variables.
  • Notably, the findings show that the differences between the rate-distortion function and Shannon’s lower bound, as well as channel capacities, are bounded by approximately 1 to 1.5 bits, regardless of other variables or target distortions considered.
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