Introducing the Role of Shaping Order K in Set Shaping Theory

Abstract: Set Shaping Theory, an emerging area of study, delves into the transformation of data sets via bijection functions. Central to this theory is the parameter $K$, which determines the extent of transformation, essentially reshaping the data. This article introduces the pivotal role of $K$ in the Set Shaping Theory, shedding light on its implications for data compression and transformation dynamics