Implicit Static-dynamic Partion
This video illustrates the central decomposition of our approach on the N3DV flame_steak sequence: the final render is exactly the sum of a dynamic branch and a static branch, dynamic + static = render, yet this partition is never supervised. Each Gaussian carries a learnable gate that is relaxed into a binary decision during training, so the model itself decides whether a Gaussian must move over time or can remain time-invariant. The only driving force is the photometric reconstruction objective, together with a sparsity pressure that encourages as much of the scene as possible to stay static and a binarization pressure that pushes each gate towards a clear decision before the partition is frozen. No segmentation masks, motion labels, or flow supervision are used at any point.