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README.md
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### Hand box metric: centroid hit fraction
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\mathrm{CHF} = \frac{\big|\{(f,h)\in\mathcal G : \hat b_h(f)\ \text{defined} \wedge c(\hat b_h(f)) \in \operatorname{int} b_{f,h}\}\big|}{|\mathcal G| + |\mathcal E|},
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\qquad c(b) = \Big(\tfrac{x_1+x_2}{2}, \tfrac{y_1+y_2}{2}\Big)
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### Subtask, action, and hand caption metric: permissible subsegment Jaccard
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A(g,p) = \mathbb{1}\big[\,|g\cap p|>0 \;\wedge\; J(\ell_g,\ell_p)\,\big]
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$$
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\mathrm{PSJ} = \frac{\displaystyle\sum_k\Big(\sum_{p\in P_k}\Big|\bigcup_{g:\,A(g,p)} g\cap p\Big| + \sum_{g\in G_k}\Big|\bigcup_{p:\,A(g,p)} g\cap p\Big|\Big)}{\displaystyle\sum_k\Big(\sum_{p\in P_k}|p| + \sum_{g\in G_k}|g|\Big)}
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$$
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On each track $k$ (the subtask track, or each hand), $g$ is a human segment in $G$ and $p$ a model segment in $P$. $J$ is the LLM judge for subtasks and captions, and the Ego4D verb class for hand actions.
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#### Worked example: the stairs
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| Model output | Permissible subsegment Jaccard | WGO-Bench semantic F1 |
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| C. "sweeping the stairs" 0–3 s, "putting the broom away" 3–5 s | first piece agrees: (3 + 3) / (5 + 5) = **0.6** | IoU 0.6, below 0.75 → **0.0** |
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| D. "carrying the broom" 0–5 s | judge says it's a different action → **0.0** | timing matches but the label doesn't → **0.0** |
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#### Degenerate baselines
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| Answer (no video used) | Subtask | Hand action | Hand caption |
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|---|---:|---:|---:|
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### Annotation methodology
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We begin by synthetically labeling videos, and then having humans edit the initial annotations.
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| Annotation type | Active minutes per minute of video | Agreement of the synthetic seed with the final human labels |
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| Hand captions | 32.6 | 0.688 (permissible subsegment Jaccard) |
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| All four | 115.9 | |
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### Subtasks
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| Subtask segments | |
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### Hand boxes
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| Hand on screen | % of frames |
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| Both | 94.3% |
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| Either | 99.0% |
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| Neither | 1.0% |
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### Hand actions
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| Hand actions | Left | Right |
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| Mean duration | 2.49 s | 2.39 s |
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| < 0.5 s | 171 | 248 |
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| < 1 s | 731 | 939 |
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Most frequent verbs: hold (802), take (615), put (595), fold (427), move (310), arrange (257), adjust (227), smooth (214), lift (207), wash (163).
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### Hand captions
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| Hand captions | Left | Right |
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| Mean duration | 2.50 s | 2.38 s |
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| < 0.5 s | 145 | 179 |
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| < 1 s | 707 | 844 |
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## Citation
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### Hand box metric: centroid hit fraction
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To measure hand box prediction accuracy, we simply ask each model to produce timestamped bounding boxes for the hand locations throughout the video. For each frame we check whether the centroid of the predicted box falls inside of the ground truth box, we then divide by the total number of frames for which there's an annotation.
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We evaluate each model only on the subset of the ground truth corresponding to its configured FPS. For instance Gemini 1FPS would measure the centroid hit fraction only on the 60 frames sampled. Technically this metric is slightly more lenient to lower FPS configurations since higher frame rates give more opportunities to be incorrect, but in practice we see most models perform better at higher frame rate.
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Mathematically this can be expressed as
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$$
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\frac{\displaystyle\sum_{i \in F_p \cup F_t} \mathbb{1}\left[\operatorname{Centroid}(p_i) \in t_i\right]}{\left| F_p \cup F_t \right|}
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$$
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Where $F_p$ is the set of frames for which there is a predicted hand, $F_t$ is the set of frames for which there's a ground truth hand, and $\operatorname{Centroid}(p_i)$ is an indicator variable indicating if the predicted box has its centroid inside the target box.
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### Subtask, action, and hand caption metric: permissible subsegment Jaccard
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We developed our subtask correctness metric while attempting to find a fair way to calibrate our annotators. We initially used a metric similar to WGO-Bench's semantic F1, which performs bipartite matching between the target and prediction and then calculating F1 between the predicted and target sets.
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Bipartite matching, which is common in object segmentation benchmarks, allows each ground truth segment to be paired with exactly one predicted segment. In other words, during scoring, the mapping between predicted and ground truth is one-to-one.
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We've found, however, that there are many valid ways to break down the subtasks in a video. Even if you show the same annotator the same video, in one sitting they may break down washing the dishes into a single task or they may break it down into many smaller segments.
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Rather than encouraging models to overfit to one particular choice of temporal granularity, we opted to allow the ground truth and predicted segments to match to each other in a many-to-many mapping, and we've tailored our LLM as judge prompt to permit predicted tasks to be subtasks of the ground truth or vice versa.
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We call our metric **permissible subsegment jaccard.**
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#### Worked example: the stairs
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Let's say the ground truth labeled the time span 0 to 5s as one segment, "sweeping the stairs".
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The table below demonstrates how various predictions would be graded under our many-to-many permissible subsegment jaccard, vs the one-to-one WGO-Bench semantic F1.
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| Model output | Permissible subsegment Jaccard | WGO-Bench semantic F1 |
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| C. "sweeping the stairs" 0–3 s, "putting the broom away" 3–5 s | first piece agrees: (3 + 3) / (5 + 5) = **0.6** | IoU 0.6, below 0.75 → **0.0** |
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| D. "carrying the broom" 0–5 s | judge says it's a different action → **0.0** | timing matches but the label doesn't → **0.0** |
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While calibrating annotators, we frequently ran into Case B: a valid, more detailed breakdown gets a score of zero under one-to-one matching and full credit under ours. Case C shows we still give partial credit for the part the model got right, where a fixed IoU cutoff gives nothing. (WGO-Bench's semantic F1 pairs segments one-to-one, counts a pair only when its temporal IoU is at least 0.75 and the judge accepts the labels).
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We found that this metric adhered much more closely to subjective measures of fairness when evaluating human annotators' performance during calibration, thus we opted to release it as our official metric for the benchmark.
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It can be expressed mathematically as follows:
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$$
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\operatorname{PSJ}(P, T) = \frac{\displaystyle\sum_{p \in P} m(p, T) + \sum_{t \in T} m(t, P)}{\displaystyle\sum_{p \in P} |I(p)| + \sum_{t \in T} |I(t)|}
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m(s, S) = \Bigl|\, I(s) \cap \bigcup_{\substack{s' \in S \\ J(s, s') = 1}} I(s') \,\Bigr|
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$$
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Let $P$ and $T$ be the predicted and ground-truth segments. Each segment $s$ has a time interval $I(s)$ and a label, and $|\cdot|$ is duration. $J(s,s') \in \{0,1\}$ is the LLM judge's verdict on whether two labels are permissible matches: the same action, or one a subtask of the other. $m(s,S)$ is the portion of $s$'s duration that overlaps some segment in $S$ that the judge accepts.
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#### Degenerate baselines
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In order to ensure the metric isn't trivially gameable check the metric can't be gamed, we scored answers that ignore the video entirely, with the same metric and judge. Generic labels are "doing chores" for subtasks, "using the hands" for captions and "hold", the most frequent verb, for hand actions.
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| Answer (no video used) | Subtask | Hand action | Hand caption |
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### Annotation methodology
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We begin by synthetically labeling videos, and then having humans edit the initial annotations. We then had a member of our research team review every clip by hand. Due to the quality of our initial annotations and our proprietary review pipeline, we were able to get the overall average time to re-annotate a video down to 116 minutes per minute of video across all four annotation types.
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| Annotation type | Active minutes per minute of video | Agreement of the synthetic seed with the final human labels |
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| Hand captions | 32.6 | 0.688 (permissible subsegment Jaccard) |
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| All four | 115.9 | |
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#### Ensuring annotator quality
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Every annotator undergoes a calibration where they have 3 attempts to get high agreement with a clip labeled by a member of our research staff (the minimum performance criteria was determine by having multiple members of our research staff attempt the same clip and then choosing fair guidelines by which to include or exclude participants). After each attempt they are allowed to see what parts of their answer were marked as incorrect (but not able to see the ground truth), they are then allowed to re-attempt the calibration clip after seeing feedback.
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After their initial calibration, crowdsourced annotators then go through a 10-clip calibration against each other, where they are graded by how high their interannotator agreement is compared to their agreement with the original labels. Via this process we chose 5 annotators to serve as the annotators on our evaluation set, keeping lower performing members of our annotation pool to work on other tasks.
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### Subtasks
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Similar to WGO-Bench, we have open vocab descriptions of the high level goal of what task the subject is performing e.g. "scrubbing the stovetop". The average video has 14.0 segments. The distribution of durations is below:
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| Subtask segments | |
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### Hand boxes
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We annotate every hand box with human annotators at 10FPS then apply proprietary smoothing algorithms to extrapolate up to 30FPS. Here is the percentage of time the right and left hand are on screen in the corpus:
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| Hand on screen | % of frames |
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| Both | 94.3% |
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| Either | 99.0% |
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| Neither | 1.0% |
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| Boxes | 417,912 on 216,225 frames |
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### Hand actions
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We have annotators choose an accurate hand action label from the closed vocabulary [Ego4D action schema](https://ego4d-data.org/docs/benchmarks/hands-and-objects/); there are 118 total actions to choose from (47 occur in the release).
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| Hand actions | Left | Right |
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| Mean duration | 2.49 s | 2.39 s |
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| < 0.5 s | 171 | 248 |
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| < 1 s | 731 | 939 |
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| Distinct labels (both hands) | 47 | |
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| Time both hands have the exact same action | 42.7% of video time | 55.8% of time both hands are labeled |
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Most frequent verbs: hold (802), take (615), put (595), fold (427), move (310), arrange (257), adjust (227), smooth (214), lift (207), wash (163).
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### Hand captions
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We have annotators write free-form hand captions describing what the hands are doing during the video.
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| Hand captions | Left | Right |
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| Mean duration | 2.50 s | 2.38 s |
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| < 0.5 s | 145 | 179 |
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| < 1 s | 707 | 844 |
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| Distinct labels (both hands) | 3,948 | |
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| Time both hands have the exact same caption | 29.3% of video time | 35.3% of time both hands are labeled |
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## Citation
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