COLT Author Response

Use this after COLT reviews arrive. The COLT 2026 CFP (checked 2026-07-08) stated that initial reviews are sent to authors before final decisions and that authors get an opportunity to address issues raised — a rebuttal phase, run through CMT in that cycle. Exact window length, character limits, and attachment rules are announced with the reviews; read that announcement before writing a word.

What a COLT rebuttal is for

A COLT review stands or falls on correctness first, then on the significance of the result and the novelty of the technique. The rebuttal is your one chance to:

• repair a perceived gap by pointing at the exact appendix line that closes it;
• concede a real gap and show the damage is contained (a weaker constant, an extra log factor, a mildly stronger assumption) with a sketch of the fix;
• correct a factual misreading of the model, the adversary, or the oracle access;
• defuse "this follows easily from known results" by naming precisely which step known techniques cannot deliver.

It is not a place to announce new theorems. A brand-new result in a rebuttal box is unverifiable in the time reviewers have, and theory reviewers discount it accordingly; promise it for the final version only when the argument is a routine extension.

The identity-reveal rule (distinctively COLT)

Under the 2026 policy, submissions are anonymized and names are withheld from reviewers, but the area chair knows author identities and may reveal them to a reviewer during the rebuttal period upon the reviewer's request, when the AC judges it necessary for a proper review — typically to check adjacency to the authors' own prior work. Consequences for drafting:

• Never write anything inconsistent with your identity becoming known mid-discussion.
• Do not play games with "the authors of [7]" phrasing that collapses if unmasked.
• You still must not de-anonymize yourself proactively; the reveal is the AC's call.

Objection playbook for theorist reviewers

Drafting pattern

1. One-line verdict per major objection: correct as stated, misreading, or conceded with contained damage — reviewers scan for whether you dodged.
2. Quote the exact display or lemma number; theory reviewers verify pointers, and a wrong pointer costs more credibility than a concession.
3. Keep arithmetic in the rebuttal self-contained: if the fix is three inequalities, write the three inequalities rather than "this is easy to fix."
4. End each thread with what the final version will say, phrased as revision of existing material, not as new claims.

Worked micro-example

Reviewer: "Theorem 2's regret bound hides the dependence on the action-set diameter D; for unbounded D the claim is vacuous."

Verdict: misreading, with a wording fix we will make.
The D-dependence is present but implicit: the radius enters through the
self-bounding term in Eq. (9), and Lemma 5 (App. B.2) gives
    R_T <= 4 D sqrt(T log K) + D log T.
D is assumed finite in Section 2 (line 3 of the setup). We agree the theorem
statement should carry D explicitly; the final version will state
R_T = O(D sqrt(T log K)) in Theorem 2 itself rather than in the proof.

Four sentences, one display, an exact pointer, one concrete promised edit — the whole anatomy of a COLT rebuttal thread.

Rebuttal anti-patterns theorists punish

• The pointer dodge: "see Appendix C" with no line number and no restatement of the resolving argument. If the referee misread C once, a bare pointer re-serves the same meal.
• The generality retreat: answering a tightness question by claiming the result "still holds in more general settings" — orthogonal to the objection and visibly so.
• The authority appeal: "this technique is standard in the literature" without a citation containing the actual step; worse if the identity-reveal rule later shows you were citing yourself.
• The scope creep: using the rebuttal to advertise results proved after submission; at best ignored, at worst it signals the submitted version was premature.
• The wounded tone: any sentence about the review's fairness rather than its mathematics. The AC reads tone as information about how camera-ready fixes would go.
• The uniform-length trap: giving every objection equal space, which tells the AC you could not identify the decision-critical one.

Prioritization under a short window

• Rank objections by decision weight: correctness gap > tightness/lower-bound gap > novelty-of-technique > model fit > exposition. Answer in that order and cut from the bottom when space runs out.
• If two reviewers disagree (one says the technique is standard, the other says the model is exotic), answer both in one paragraph that names the technique's new step — the AC reads the rebuttal for exactly this synthesis.
• A calm, complete concession of a minor error buys credibility for your defense of the main theorem; theorists reward authors who behave like referees of their own work.

Cycle-volatility warnings

• Rebuttal length limits, whether PDF responses are allowed, and per-reviewer versus global response structure change by cycle — read the current instructions (待核实 each year).
• The identity-reveal mechanism described above is the 2026 wording; verify it in the cycle you are in before relying on its exact scope.

Output format

[Priority objection] <the one that decides the paper>
[Verdict] correct as stated / misreading / conceded, damage contained
[Pointer] <lemma, display, or appendix line>
[Self-contained fix] <inequalities or sketch given in-box>
[Promised final-version edit] <existing-material revision only>