REVIEW 4 major objections 8 minor 10 cited by
Trajectory Attention for Fine-grained Video Motion Control
T0 review · 4 major / 8 minor · reviewed 2026-08-12 · deepseek-v4-flash
Pith's one-line read The paper claims that adding an auxiliary attention branch that matches features along camera-defined pixel trajectories gives pretrained video diffusion models precise, long-range motion control without retraining the base model.
desk verdict Genuinely plausible new attention mechanism for camera control, but the reported precision gains rest on an unstated trajectory-estimation protocol that needs to be pinned down before the numbers can be believed. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
Trajectory attention is an auxiliary multi-head attention module that operates on features sampled along user-specified pixel trajectories instead of on the full spatial grid. For each trajectory, Algorithm 1 reads the hidden states at the trajectory's 2D coordinates in every frame, masks invalid frames, and stacks them into a sequence; after attention, Algorithm 2 scatters the updated features back to their original locations and normalizes by how many trajectories covered each pixel. The QKV projectors are copied from the temporal-attention module, while the output projection is zero-initialized, so the branch starts as a no-op and grows gradually during fine-tuning. It is this sampled-along-trajectory, read-and-scatter attention that injects the camera motion as an explicit correspondence constraint while leaving the base model's parameters untouched.
What would settle it
On a benchmark with known camera poses and ground-truth depth, generate the same scenes twice, once with trajectories computed from ground-truth depth and once from the paper's estimated depth with its default camera assumptions, then compare ATE and RPE. If pose error does not increase when the depth map is corrupted or replaced, trajectory accuracy is not what drives the control; if error rises sharply, the dependence on trajectory extraction is confirmed. A complementary test is to ablate the auxiliary branch itself by feeding the sampled trajectory features directly into the temporal attention's value stream; if control precision stays equally high, the auxiliary-branch design is not the source of the reported gains.
Extended reading notes
Core claim
The central claim is that a dedicated trajectory-attention branch, initialized from the temporal-attention weights and added to it as a zero-initialized residual, is sufficient to make a pretrained video diffusion model follow a specified camera path with much lower error than pose-embedding or warping-based conditioning. Concretely, hidden states are sampled at each frame along the supplied 2D trajectories, attended to frame-wise, and written back and averaged at the sampled locations, so the attention mechanism itself carries the motion condition. The paper reports that this design reduces absolute trajectory error and relative pose error on single-image camera control (for example, an ATE of 0.0396 on the 25-frame setting versus 0.0411 for the best pose-conditioning baseline) and on video camera control, while keeping FID comparable. It also shows the branch extends from 12-frame training to 25-frame generation and to full 3D-attention models, and that it can drive first-frame-guided video editing. The role of the auxiliary branch is to enforce long-range consistency along the trajectory without forcing the original temporal attention to abandon its short-range motion synthesis.
Load-bearing premise
The load-bearing premise is that the extracted pixel trajectories are accurate: they come from an estimated depth map, fixed assumptions about the camera's focal length and center, and, for videos, a point tracker, so any error in those estimates means the attention aligns features along paths that are not the true 3D trajectories.
Editorial extensions
If this is right
- Single-image camera control becomes a fine-grained operation: reported absolute trajectory error drops to roughly 0.02-0.04 meters on the tested 14-, 16-, and 25-frame settings, close to the ground-truth camera path.
- Because trajectory attention is a residual add-on, it combines with orthogonal techniques such as warping-based test-time optimization, improving both precision and fidelity over either approach alone.
- The same branch transfers from 12-frame training to 25-frame generation, suggesting the learned trajectory prior is not tied to a specific sequence length.
- Trajectory attention extends beyond camera motion to first-frame-guided video editing, preserving edited content across large spatial and temporal ranges where frame-warping methods drift.
- The design adapts to full 3D-attention video architectures, so it is not limited to decomposed spatial-temporal attention models.
Reading between the lines
- The authors leave implicit that the same auxiliary-branch recipe could apply to other correspondence-based controls, such as object dragging, depth-guided motion, or user-sketched flow, since the branch never needs to know where the trajectories came from.
- Because the fixed camera intrinsics are acknowledged as a source of error, a natural next step is to jointly predict or calibrate intrinsics from the image, which would likely extend the method to 360-degree and wide-angle camera paths.
- The attention-window visualization suggests a quantitative diagnostic: tracking the effective window width of the trajectory branch during generation should correlate with long-range consistency, giving a cheap way to predict when control will fail on fast motion.
- Since the branch is trained on only 10k clips, the method appears data-efficient, but the paper does not show how performance scales with much larger trajectory-conditioned training sets, so the ceiling of the approach remains unknown.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces trajectory attention, an auxiliary attention branch that operates on features sampled along pixel trajectories, in parallel with the standard temporal attention of a video diffusion model. The branch is initialized from the temporal attention weights, its output is added as residuals, and only this branch is fine-tuned. The method is applied to camera motion control from a single image, camera motion control on videos, and first-frame-guided video editing. The experiments report ATE/RPE/FID improvements over several baselines, and the paper demonstrates the extension to full 3D attention models. The authors also provide ablations on the branch design, training data, and trajectory sparsity.
Significance. The core idea is elegant and practically valuable: rather than replacing or modifying temporal attention, trajectory attention is added as a lightweight, plug-and-play branch with weight inheritance and zero-initialized output, enabling efficient fine-tuning (about 24 GPU hours) without changing the base model parameters. The attention-map analysis (Fig. 2) provides a sensible motivation for the auxiliary-branch design. If the reported precision gains are reproducible, the method would be a significant step for controllable video synthesis. The paper is also transparent about its limitations (Appendix A.1) regarding dependence on external trajectory extractors and failure modes on fast or complex motions. However, the evaluation protocol has gaps that currently prevent full verification of the central precision claim.
major comments (4)
- [Sec. 5.1, Tables 1-2] The paper reports ATE and RPE as the headline metrics for camera-control precision, but it never states how camera trajectories are recovered from the generated videos. Appendix A.9 shows 'estimated trajectories from our generation' without naming the estimator (COLMAP, monocular SLAM, or a learned method) or the alignment procedure. This is load-bearing: if the estimator is sensitive to video smoothness or temporal consistency, a method that produces more static videos could appear to have lower pose error even when it follows the commanded camera motion less accurately. Please specify the full evaluation protocol, including the estimator, alignment (Sim(3)/SE(3)), and any outlier handling, and provide a sensitivity analysis.
- [Sec. 5.5, Table 3] The ablation states that for the 'Vanilla' condition, 'some outputs exhibiting complete noise (we omit such invalid results during evaluation).' This selection biases the reported ATE/RPE/FID and makes the comparison with the proposed design difficult to interpret. Please report the fraction of invalid outputs for each ablation condition, and either include a failure-rate metric (e.g., percentage of runs that produce non-finite or degenerate outputs) or use a metric that handles failures. Without this, the large gap between Vanilla and the proposed design is not fully supported.
- [Sec. 5.1 and Table 1] The quantitative comparison mixes base models and frame lengths: MotionI2V uses AnimateDiff while the other baselines and the proposed method use SVD, and the comparisons are at 14, 16, and 25 frames. The table footnote acknowledges this, but the text claims 'consistently achieve higher or comparable control precision' across settings. To attribute the improvements to the trajectory-attention design, please provide a same-base-model, same-frame-length comparison at least for the strongest baseline, or clearly state the confound. The 10-100x ATE improvements over MotionCtrl may partly reflect the different base models or frame lengths.
- [Appendix A.3 and Sec. 4.1] Single-image camera control uses predefined camera intrinsics (fx=fy=260, principal point at image center) and a depth estimate from DepthAnythingV2 to compute the conditioning trajectories. The paper does not quantify how the reported ATE/RPE depend on these choices, and it is unclear whether the same depth/projection pipeline is used to extract the 'estimated trajectories' from the generated videos that enter the ATE/RPE computation. If the same pipeline is used, the evaluation is partially circular. Please clarify the evaluation trajectory extraction and provide a quantitative sensitivity analysis over focal lengths (or other intrinsic parameters), beyond the qualitative illustration in Fig. 21.
minor comments (8)
- [Algorithm 1] Algorithm 1 does not specify how fractional 2D coordinates are sampled from the hidden states; please state whether nearest-neighbor or bilinear (or other) interpolation is used.
- [Sec. 3.4] Equation (3) does not define the conditioning signal c or the noise schedule σ; for reproducibility, please specify what c is for each task (e.g., trajectories and first frame) and cite the schedule used by SVD.
- [Sec. 5.1 and A.10] The citation 'Yang et al. (2023a)' for optical flow extraction points to a paper on semi-supervised semantic segmentation; the intended optical-flow reference appears to be missing or mis-cited. Please correct.
- [Tables 1 and 2] Tables 1 and 2 are titled 'Qualitative comparison' but contain quantitative metrics; please rename them 'Quantitative comparison' or similar.
- [Algorithm 4] In Algorithm 4, the combination Tr = Pt + P assumes that Pt and P are in the same pixel-coordinate frame; please state how the sampled camera translation Pt and the point trajectories P are aligned, and what happens when a point becomes occluded.
- [Sec. 5 and throughout] The paper claims 'long-range consistency' but no temporal consistency metric (e.g., per-video LPIPS or feature stability) is reported; the FID is a distribution-level metric and does not directly measure temporal consistency within a generated clip.
- [Appendix A.9] Figure 16 shows estimated trajectories from 'our generation' and from CameraCtrl, but the estimation method is not described; please name the estimator and state whether it is the same for all compared methods.
- [Various] Minor typos: 'straighwarpward' (Sec. 3.2), 'lenght' (Algorithm 4), 'trajecories' (Algorithms 3 and 4), and 'wrapped frames' (Fig. 13) should be corrected.
Circularity Check
No significant circularity; the central precision claim is tested against external ATE/RPE benchmarks and the trajectory-attention design is a genuine architectural contribution.
full rationale
The paper's derivation chain is self-contained against external benchmarks. The conditioning signal (trajectories) is extracted by explicitly stated geometric procedures (Algorithms 3 and 4, Appendix A.3) from depth estimates, hand-set intrinsics, and camera poses, while the training loss (Eq. 3) is the standard denoising objective and contains no ATE/RPE term. The claimed improvements are evaluated on ATE and RPE computed against ground-truth camera trajectories, which are not part of the network's conditioning input at inference time. The key design choices—auxiliary branch, parameter sharing, and zero-initialized output projection—are architectural decisions validated by ablations (Table 3), not fitted constants renamed as predictions. The paper's self-references (e.g., Ouyang et al. 2024, Xiao et al. 2024) appear only as related-work context and are not load-bearing. The main caveat is that Section 5.1 never specifies how camera trajectories are estimated from the generated videos, and Appendix A.9 only shows qualitative trajectory alignments; however, this is an evaluation-protocol gap and a correctness risk, not a circular reduction, because no equation or algorithm in the paper makes the reported ATE/RPE values equal to the conditioning trajectories by construction. Appendix A.1's acknowledged dependence on external trajectory estimators is a stated limitation rather than evidence that the central claim reduces to its own inputs.
Assumptions & free parameters
free parameters (2)
- Predefined camera intrinsics for single-image control =
fx=fy=260, cx=W/2, cy=H/2
- Number of sampled trajectories L and density =
Unspecified for main experiments; appendix reports robustness at 1/16 and instability below 1/32 resolution
assumptions (3)
- domain assumption Pre-trained temporal attention in SVD has learned adequate motion priors that transfer to trajectory attention via weight initialization.
- domain assumption Depth estimation (DepthAnythingV2) and point tracking (CoTracker) produce trajectories accurate enough for attention sampling.
- ad hoc to paper Adding trajectory attention as a residual branch does not interfere with temporal attention's synthesis.
Cite this review
Pith. "Pith review of Trajectory Attention for Fine-grained Video Motion Control." pith.science (2026). https://pith.science/paper/YWZPTGL4
@misc{pith2026241119324,
author = {Pith},
title = {Pith review of: Trajectory Attention for Fine-grained Video Motion Control},
year = {2026},
howpublished = {\url{https://pith.science/paper/YWZPTGL4}},
note = {Machine review of arXiv:2411.19324}
}
read the original abstract
Recent advancements in video generation have been greatly driven by video diffusion models, with camera motion control emerging as a crucial challenge in creating view-customized visual content. This paper introduces trajectory attention, a novel approach that performs attention along available pixel trajectories for fine-grained camera motion control. Unlike existing methods that often yield imprecise outputs or neglect temporal correlations, our approach possesses a stronger inductive bias that seamlessly injects trajectory information into the video generation process. Importantly, our approach models trajectory attention as an auxiliary branch alongside traditional temporal attention. This design enables the original temporal attention and the trajectory attention to work in synergy, ensuring both precise motion control and new content generation capability, which is critical when the trajectory is only partially available. Experiments on camera motion control for images and videos demonstrate significant improvements in precision and long-range consistency while maintaining high-quality generation. Furthermore, we show that our approach can be extended to other video motion control tasks, such as first-frame-guided video editing, where it excels in maintaining content consistency over large spatial and temporal ranges.
Figures
Figures from the paper (18 more)
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15 A A PPENDIX A.1 L IMITATIONS As shown in Fig
URL https://arxiv.org/abs/2405.04496. 15 A A PPENDIX A.1 L IMITATIONS As shown in Fig. 20, our method has several limitations that require further exploration. Currently, it depends on external techniques such as Karaev et al. (2023); Yang et al. (2023a) for trajectory extract...
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model with 3D attention. The trajectory attention is constructed and trained following the same procedure outlined in the main paper, with the key difference being that it is appended to the 3D full attention block instead of the temporal attention block (Fig. 10). For other t...
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We use CoTracker Karaev et al
7 Pworld ← Dreshaped · ˜P 8 Pworld, homo ← concatenate([Pworld, 1Hp×Wp ]) 9 P′ world, homo ← T · Pworld, homo 10 P′ world ← P′ world, homo[:, :, : 3] 11 T12 ← K · P′ world 12 return T12 Point trajectory extraction from videos. We use CoTracker Karaev et al. (2023) to extract p...
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Table 4: Ablations on training datasets
17 Figure 12: Point trajectory estimation results. Table 4: Ablations on training datasets. Dataset Setting Training steps ATE (m, ↓) RPE trans (m, ↓) RPE Rot (deg, ↓) FID (↓) 10k real-world 40k 0.0396 0.0232 0.1939 103.5 10k games 40k 0.0421 0.0211 0.2139 105.3 10k real-world...
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[38]
For all tasks, the inputs to the network are the first frame and the extracted trajectories
First frame Trajectories Warp trajectories by camera view Edited first frame Trajectories (a) Input process visualization of camera motion control on videos (b) Input process visualization of video editing Figure 13: Input process visualization. For all tasks, the inputs to th...
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[39]
16, illustrating results from five scenes with a single camera trajectory
A.9 C OMPARISON ON CAMERA TRAJECTORIES For clearer understanding, we visualize the predicted trajectories in Fig. 16, illustrating results from five scenes with a single camera trajectory. The figure shows that, thanks to the explicit modeling of camera motion, our method’s es...
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Reviewed August 12, 2026 · model on record in the stance chip above.
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