Conjecture on implicit updates accelerating dead primitives

Investigate whether implicit updates under synchronous Adam-style optimization accelerate the transition of 3D Gaussian primitives to dead (low-opacity) states when update steps in certain viewpoints push primitives toward becoming dead, thereby increasing the number of dead primitives.

Background

The authors analyze implicit updates—updates applied to primitives in invisible viewpoints due to rescaled optimizer moments—in Adam-based synchronous optimization. They observe that Adam yields more dead primitives than Sparse Adam and propose a hypothesis regarding the mechanism by which implicit updates may amplify the creation of dead primitives.

This conjecture links observed empirical differences (e.g., more dead primitives under Adam) to a specific causal process, suggesting targeted investigation to validate or refute the mechanism and to understand its impact on redundancy and optimization stability.