complex systems
-
Axiomatic Convergence in Generative Systems
Read Full Article: Axiomatic Convergence in Generative SystemsThe Axiomatic Convergence Hypothesis (ACH) explores how generative systems behave under fixed external constraints, proposing that repeated generation under stable conditions leads to reduced variability. The concept of "axiomatic convergence" is defined with a focus on both output and structural convergence, and the hypothesis includes predictions about convergence patterns such as variance decay and path dependence. A detailed experimental protocol is provided for testing ACH across various models and domains, emphasizing independent replication without revealing proprietary details. This work aims to foster understanding and analysis of convergence in generative systems, offering a framework for consistent evaluation. This matters because it provides a structured approach to understanding and predicting behavior in complex generative systems, which can enhance the development and reliability of AI models.
