Assembly Theory Reduced to Shannon Entropy and Rendered Redundant by Naive Statistical Algorithms

L Ozelim, A Uthamacumaran, FS Abrahão… - arxiv preprint arxiv …, 2024 - arxiv.org
We respond to arguments against our criticism that claim to show a divergence of Assembly
Theory from popular compression. We have proven that any implementation of the concept …

[PDF][PDF] Assembly Theory. Formalizing Assembly Spaces and Discovering Patterns and Bounds.

W Bieniawski, P Masierak, A Tomski, S Łukaszyk - 2025 - preprints.org
Assembly theory bridges the gap between evolutionary biology and physics by providing a
framework to quantify the generation and selection of novelty in biological systems. We …

[PDF][PDF] On the Certain Salient Regularities of Strings of Assembly Theory

W Bieniawski, P Masierak, A Tomski, S Łukaszyk - 2024 - preprints.org
Using assembly theory of strings of any natural radix b we find some of their salient
regularities. In particular, we show that the upper bound of the assembly index depends …

[PDF][PDF] On the Salient Regularities of Strings of Assembly Theory

W Bieniawski, P Masierak, A Tomski, S Łukaszyk - 2024 - preprints.org
Using assembly theory of strings of any natural radix b we find some of their salient
regularities. In particular, we show that the upper bound of the assembly index depends …

[PDF][PDF] On the Salient Limits of Strings in Assembly Theory

W Bieniawski, P Masierak, S Łukaszyk - 2024 - preprints.org
We consider the formation of strings of any natural radix b within the framework of assembly
theory. In particular, we show that the upper bound of the assembly index depends on the …