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TrackDiffusion: Tracklet-Conditioned Video Generation via Diffusion Models
Despite remarkable achievements in video synthesis, achieving granular control over complex dynamics, such as nuanced movement among multiple interacting objects, still presents a significant hurdle for dynamic world modeling, compounded by the necessity to manage appearance and disappearance, drastic scale changes, and ensure consistency for instances across frames.
A necessary and sufficient condition for two relations to induce the same definable set family
In Pawlak rough sets, the structure of the definable set families is simple and clear, but in generalizing rough sets, the structure of the definable set families is a bit more complex.
Applications of repeat degree on coverings of neighborhoods
First, we investigate under what condition a covering of neighborhoods is the reduct of the covering inducing it.
