AISTATS Author Response

Use this after AISTATS reviews are released. Reopen the current OpenReview instructions and author-discussion policy before drafting because response mechanics are cycle-specific.

Triage

• Answer concerns that affect correctness, novelty, statistical validity, clarity, reproducibility, or fit for AISTATS.
• Use existing submitted evidence: paper sections, appendices, supplementary material, theorem statements, experiments, checklist entries, and code/data descriptions.
• Keep the reply anonymous. Do not reveal institution, authorship, grants, private URLs, or repository ownership.
• Treat discussion as clarification, not revision. Do not depend on uploading a revised paper or new supplement unless current instructions explicitly allow it.
• If current rules prohibit links, do not use URLs in the discussion. AISTATS 2026 author-reviewer discussion was text-only and links were not allowed.
• Correct factual errors first, then address requests for missing comparisons, uncertainty estimates, proofs, or hyperparameters.

Drafting pattern

1. State the decision-critical correction or concession.
2. Point to exact submitted evidence.
3. Explain the statistical or theoretical consequence.
4. Promise a camera-ready wording fix only if it does not add unsupported new claims.

Statistician-reviewer pushback patterns

| Pushback | What it signals | AISTATS-ready fix | |---|---|---| | "Assumption A3 seems strong" | The reviewer traced the proof chain | Point to where A3 is verified, weakened, or shown necessary; never dismiss it as standard without a citation | | "The experiments violate the theorem conditions" | Theory-experiment mismatch spotted | Identify which conclusions survive misspecification and cite the robustness simulation that shows it | | "Observed rates do not match the bound" | The reviewer compared empirical slopes against theory | Reference the log-log plot, or explain the constant-dominated regime at the tested sample sizes | | "Comparison with the classical statistical method is missing" | Statistics-literature gap | Anchor to the appendix comparison, or concede and scope a camera-ready clarification |

Response micro-example

Reviewer objection: the minimax claim hides its dependence on dimension d. Reply skeleton:

1. Concede that the d-dependence appears only in the appendix constant.
2. Quote the exact constant from Theorem 2 so the reviewer need not search.
3. Note that the simulation at d = 100 in Figure 4 follows the predicted scaling.
4. Offer one camera-ready sentence making the dependence explicit in the main text.

Discussion-phase calibration

• One decision-critical point per reviewer beats exhaustive replies; AISTATS meta-reviewers read for whether the central statistical objection was actually resolved.
• Never paste new theorem statements or fresh proofs into the discussion box; sketch the argument and anchor it in submitted material only.
• Respond early in the window — AISTATS discussion periods are short and reviewers who reply once rarely reply twice.
• Length and formatting norms vary by cycle; recheck the current discussion instructions before sending anything.

Output format

[Priority issue] <reviewer concern>
[Decision dimension] correctness / novelty / statistical validity / clarity / reproducibility
[Draft response] <AISTATS-ready anonymous text>
[Evidence anchor] <paper/appendix/supplement item>
[Forbidden content removed] <links, identity leaks, new unsupported claims>