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cs.IT2026
Set Shaping Theory Applied to Universal Coding
Alix Petit, Aida Koch, Logan Lewis +1
Universal coders process individual sequences without assuming that the source distribution is known. In this setting, uniformly generated sequences represent the most difficult te…
cs.IT2026
Using Set Shaping Theory to Trade RAM Accesses for CPU Computation
Alix Petit, Mai Lang, Logan Lewis +2
This paper studies Set Shaping Theory (SST) in a database-index setting under a revised interpretation: SST is not treated as a competing hashing method, but as a structural pre pr…
cs.IT2023
Overcoming the compression limit of the individualsequence (zero order empirical entropy) using the Set Shaping Theory
Aida Koch, Alix Petit, Christian Schmidt +2
Given the importance of the claim, we want to start by exposing the following consideration: this claim comes out more than a year after the article "Practical applications of Set…