Researchers introduce a theoretical framework called Parallel Flows for analyzing linear attention models using matrix-valued state space models (SSMs).
The approach of Parallel Flows decouples temporal dynamics from implementation constraints, allowing independent analysis of chunking, parallelization, and information aggregation.
The framework reinterprets chunking procedures as computations of the flows governing system dynamics, connecting it to mathematical tools from rough path theory.
The application of Parallel Flows to DeltaNet in a low-rank setting allows for the design of simple, streamlined generalizations with lower complexity, demonstrating the power of theoretical analysis in inspiring new computational approaches.