Relate Latent Diffusion Models to Neutral Genes

Characterize the correspondence between latent diffusion representations used in Latent Space Diffusion Evolution and the concept of neutral genes in evolutionary biology, identifying conditions under which latent dimensions are neutral with respect to fitness and analyzing their effects on evolutionary dynamics and diversity.

Background

The authors propose Latent Space Diffusion Evolution to improve performance and diversity in high-dimensional parameter spaces, motivated by sloppiness and potential neutrality of certain dimensions.

Establishing a formal relationship between latent representations and neutral genetic variation would clarify how latent-space choices affect neutrality, drift, and exploration in evolutionary optimization.