Sparse Attention for Web Agents — Offline Replay Records
Step-level records from an offline replay study comparing three sparse-attention methods against full attention on browser-agent trajectories.
Model: Qwen3-VL-30B-A3B-Instruct (48 layers, 128 experts / 8 active, GQA 32:4, head_dim 128)
Hardware: NVIDIA GB10 (sm_121)
Tasks: 50 complete trajectories sampled from WebVoyager + GAIA — 332 steps, of which 190 emit an
element index. Every task was completed successfully by the reference model
(Qwen3.5-Omni, dense attention), so every step has a reference action.
The comparison
All three methods chunk the KV cache, score chunks against the current query, keep the top-scoring ones, and attend only to those. They differ in exactly two design choices:
| Method | Chunking | Scoring |
|---|---|---|
| TSA | variable, aligned to document structure (16–256 tokens) | envelope (per-dimension min/max upper bound) |
| Quest | fixed, 16 tokens | envelope |
| BlockSparse | fixed, 16 tokens | centroid (mean of chunk keys) |
TSA differs from Quest only in chunking; Quest differs from BlockSparse only in scoring, so the comparison isolates one variable at a time.
Budget = page_size × top_k — the number of KV tokens actually attended per decode step. This is
the fairness control: top_k alone is not comparable across methods because their page sizes differ
4x. For scale, at ~29.5k tokens of context a 4096 budget reads about 1/7 of it.
Files
Each data/<method>_budget<N>.jsonl holds 332 step records for the same 50 tasks.
| Field | Meaning |
|---|---|
task |
task identifier, e.g. Allrecipes--35 |
site |
site the task runs on |
step |
step index within the trajectory, e.g. step_001 |
is_idx |
whether this step's action selects a page element by index |
chosen |
element index/indices the model produced |
ref |
element index/indices in the reference trajectory |
types |
action type(s) produced, e.g. ['input'] |
ref_act |
reference action type |
verdict |
valid (index exists on the page), none (no index emitted), otherwise invalid |
agree |
whether chosen matches ref exactly |
head |
leading text of the model's output |
err |
error, if the step failed |
data/replay_contexts.jsonl — the 332 replayed contexts (the exact prompt each config saw).
data/task_ids.json — the 50 task identifiers.
data/summary_h1_*.json — per-config aggregate counts.
Headline results
Index-step agreement with the reference trajectory (190 index steps):
| Config | Budget | valid | agree |
|---|---|---|---|
| dense_full_attention | — | 81.1% | 51.1% |
| tsa_budget4096 | 4096 | 70.5% | 28.9% |
| quest_budget4096 | 4096 | 69.5% | 20.5% |
| blocksparse_budget4096 | 4096 | 71.6% | 18.4% |
| tsa_budget8192 | 8192 | 79.5% | 43.7% |
| quest_budget8192 | 8192 | 73.2% | 47.4% |
| blocksparse_budget8192 | 8192 | 79.5% | 47.9% |
| tsa_budget16384 | 16384 | 79.5% | 51.1% |
Three things worth knowing before using these numbers:
agreehas a ceiling well below 100%. Full attention itself scores 51.1%; 30% of its steps pick a valid but different element. Many tasks have several correct paths, so disagreement is not the same as error. Judge sparse configs against ~51%, not 100%.- The ranking flips with budget. At 4096 TSA is significantly better than both baselines (cluster-level sign test, p = 0.015 / 0.020). At 8192 the baselines catch up and TSA is the only method still significantly behind full attention (p = 0.0042). At 16384 TSA reproduces full attention exactly. Quest and BlockSparse were not run at 16384, so no ranking above 8192 is supported either way.
- Sparsity causes index hallucination. Full attention emitted an index that does not exist on the page 0 times out of 190; sparse configs do it 1–10% of the time. Conversely, "emitted no index at all" sits at 18–24% for every config including dense, so that failure is not attributable to sparsity.
Caveats
- These are offline replay records: the reference context is replayed at every step, so errors do not compound as they would in a live agent loop. They are a proxy for task success, not task success itself.
- Statistics should be cluster-level with the task as the unit — steps are nested within tasks, and treating 190 steps as independent overstates significance.
quest_budget4096was originally run over 100 tasks; the rows here are the 50-task subset shared by every other config.
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