KITINet is a novel neural network architecture inspired by kinetics theory and PDE simulation approaches.
It introduces a residual module that models feature updates as the stochastic evolution of a particle system, simulated via a discretized solver for the Boltzmann transport equation.
This formulation enables adaptive feature refinement through physics-informed interactions and induces network parameter condensation during training.
Experimental results across scientific computation, image classification, and text classification demonstrate consistent improvements over traditional network baselines with minimal increase in computational complexity.