Streaming 3D reconstruction maintains a persistent latent state that is updated online from incoming
frames, enabling constant-memory inference. A key failure mode is the state update rule: aggressive
overwrites forget useful history, while conservative updates fail to track new evidence, and both
behaviors become unstable beyond the training horizon.
FILT3R addresses this by casting recurrent latent updates as stochastic state estimation in token
space. It maintains a per-token variance, computes a Kalman-style gain, and estimates process noise
online from EMA-normalized temporal drift of candidate tokens. The update is training-free and
improves long-horizon stability for depth, camera pose, and 3D reconstruction without retraining the
backbone.