Non-Cross Diffusion for Semantic Consistency

In diffusion models deviations from a straight generative flow are a common issue resulting in semantic inconsistencies and suboptimal generations. To address this challenge we introduce `Non-Cross Diffusion' an innovative approach in generative modeling for learning ordinary differential equation (ODE) models. Our methodology strategically incorporates an ascending dimension of input to effectively connect points sampled from two distributions with uncrossed paths. This design is pivotal in ensuring enhanced semantic consistency throughout the inference process which is especially critical for applications reliant on consistent generative flows including various distillation methods and deterministic sampling which are fundamental in image editing and interpolation tasks. Our empirical results demonstrate the effectiveness of Non-Cross Diffusion showing a substantial improvements in semantic consistencies at various inference steps and enhancing the overall performance of diffusion models.