3. Camera Following and Returns vs CaR

Camera-following diagnostic with CaR, and returns stratified by realized yaw error.

Motivation

Reviewer btN3: "Including CaR in the camera-following diagnostic would help interpret the closest comparison."
Reviewer btN3: "...do the external-comparison conclusions remain consistent when returns are matched or stratified by realized motion error...?"

Camera following

CaR follows the path as well as we do. The other four models are clearly worse.

Table 1: Camera following by system (five rollout seeds; direction agreement, correlation with the prescribed yaw, implied FOV).

systemdirectioncorrelationimplied FOV (target 90°)
Memorizon 100 / 200 / 400 s0.987 / 0.986 / 0.9860.956 / 0.958 / 0.95590.4 / 90.2 / 90.2
CaR0.9900.95960.2
LingBot-World-v20.9760.87972.5
Matrix-Game 3.00.9710.86698.1
Infinite-World0.9610.888108.6
DreamX-World 1.00.9520.815133.4
HY-World 1.50.9060.696123.6

CaR's 60° implied FOV points to a narrower camera, not a worse path. First 60 s, five rollout seeds.

Examples

Same first frame and camera path, first 30 s, one rollout seed.

Walk 05

Memorizon 200 s
CaR
LingBot-World-v2
Matrix-Game 3.0
Infinite-World
DreamX-World 1.0
HY-World 1.5

Walk 13

Memorizon 200 s
CaR
LingBot-World-v2
Matrix-Game 3.0
Infinite-World
DreamX-World 1.0
HY-World 1.5

Walk 15

Memorizon 200 s
CaR
LingBot-World-v2
Matrix-Game 3.0
Infinite-World
DreamX-World 1.0
HY-World 1.5

Returns at matched yaw error

Among well-aligned returns, CaR ties Memorizon 100 / 400 s and trails 200 s by about 0.06 Revisit.

Table 2: Return quality (Revisit, mean over five seeds) and Gain over the no-bank control, by system.

systemRevisit (mean ± seed std)Gainpairs
Memorizon 100 s0.441 ± 0.0180.305536
Memorizon 200 s0.483 ± 0.0100.361457
Memorizon 400 s0.435 ± 0.0220.310443
CaR0.425 ± 0.0160.289592
HY-World 1.50.329 ± 0.0390.14692
Matrix-Game 3.00.302 ± 0.0430.104108
Infinite-World0.275 ± 0.0260.164140
LingBot-World-v20.163 ± 0.0320.00655
DreamX-World 1.00.139 ± 0.0390.029113

Returns with yaw error ≤ 10°, each video calibrated to the prescribed turn amplitude. Yaw comes from phase correlation on the generated video: it sees rotation, not translation.

Conclusion

  1. CaR follows the path as well as Memorizon (correlation 0.959 vs 0.955–0.958); its 60° implied FOV points to a narrower camera.
  2. At matched yaw error CaR is within seed noise of Memorizon 100 / 400 s (0.425 vs 0.441 / 0.435) and 0.06 Revisit below 200 s (0.483). HY-World, Matrix-Game, Infinite-World, LingBot and DreamX stay far lower.
  3. What changes in the paper: camera following moves into Sec. 4.2; the cross-system ranking is called indicative; within-backbone ablations are the primary evidence for memory; no clear margin over CaR is claimed.