Writing study: Any-Order GPT as Masked Diffusion Model: Decoupling Formulation and Architecture

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← ICML 2026 oral writing corpus

Shuchen Xue, Tianyu Xie, Tianyang Hu, Zijin Feng, Jiacheng Sun, Kenji Kawaguchi, Zhenguo Li, Zhi-Ming Ma · Official ICML 2026 oral record

Observed writing choices, not acceptance rules. This study examines the inspected manuscript version. It does not establish why the paper was accepted or that its presentation choices should be copied unchanged.

Figure, table and section ledger

Editorial contribution type: Empirical analysis, diagnosis & auditing (primary).

Layout extraction, not a required paper template. Counts are distinct caption labels; a multi-panel figure counts once. Section spans are estimated from heading positions, including floats and whitespace. Method and limitations.

Canonical PDF

21 physical pages

Before references / appendix

≈ 8.75 page-equivalents

Main figures / tables

5 / 1

Attached appendix figures / tables

9 / 4

Attached appendix span

≈ 9.91 page-equivalents

Before references / appendix: ≈ 41.67%References / intervening material: ≈ 11.14%Attached appendix: ≈ 47.19%Estimated layout envelopes, not text/artwork area. Unresolved appendix boundaries remain within the undivided post-body material.

Source-bound correction: Join wrapped printed heading text using adjacent source lines; original heading start coordinates are unchanged.

Section-by-section lengths and source pages

The title/abstract/front matter precede the first numbered heading. A span ends at the next detected top-level heading, not at the last sentence; end-page whitespace is included. References and statements are listed separately. These are not measurements of text-only or artwork area.

Top-level heading	Starts on PDF page	Estimated span	Share of entire PDF
1. Introduction	1	≈ 1.02 pp.	4.86%
2. Preliminary	2	≈ 1.38 pp.	6.57%
3. Related Work	3	≈ 1 pp.	4.76%
4. Standard AR vs. Any-Order AR (MDM): A Decoder-Only Comparison	4	≈ 1.84 pp.	8.76%
5. Comparing Encoder-Only and Decoder-Only for Masked Diffusion Models	6	≈ 2.53 pp.	12.05%
6. Conclusion and Limitation	9	≈ 0.53 pp.	2.52%
Impact Statement	9	≈ 0.11 pp.	0.52%
References	9	≈ 2.34 pp.	11.14%
Appendix	12	≈ 0.17 pp.	0.81%
A. AO-GPT: a Decoder-only Model with the Potential to Unify AR and MDM	12	≈ 3.52 pp.	16.76%
B. Additional Experiment Details and Results	15	≈ 1.04 pp.	4.95%
C. Proof and Discussion for Lemma 5.1	16	≈ 5.2 pp.	24.76%

All detected figure and table locations

Main text

• Figure 1 · p. 1
• Figure 2 · p. 5
• Figure 3 · p. 5
• Figure 4 · p. 8
• Figure 5 · p. 8
• Table 1 · p. 8

Attached appendix

• Figure 6 · p. 13
• Figure 7 · p. 13
• Figure 8 · p. 13
• Figure 9 · p. 14
• Table 2 · p. 15
• Figure 10 · p. 15
• Table 3 · p. 16
• Figure 11 · p. 16
• Table 4 · p. 17
• Table 5 · p. 17
• Figure 12 · p. 19
• Figure 13 · p. 20
• Figure 14 · p. 21

Argument and organization

1. 1 Introduction; 2 Preliminary; 3 Related Work

   Defines two separate comparison questions and supplies the AR/AO-AR/MDM vocabulary before testing order and architecture.

2. 4 Standard AR vs. Any-Order AR; 5 Comparing Encoder-Only and Decoder-Only

   Organizes comparisons around the two questions, using boxed findings and an intervening conditional-probability explanation.

3. 6 Conclusion and Limitation; Appendix A-C

   Consolidates the speed-quality trade-off and explicitly names scale, downstream-task and modality limits; implementation and proofs follow separately.

Problem, claim and contribution

The opening identifies architecture as a confound in comparing generative formulations, then turns that concern into two distinct research questions.

Abstract, Figure 1 and Section 1, pp.1-2 · Main paper

Argument and section order

Separate sections hold the decoder-only architecture constant before comparing encoder-only versus decoder-only implementations of masked diffusion.

Sections 4-5, pp.4-8 · Main paper

Figures, captions and visual explanation

Figure 1 visually separates formulation and architecture with a three-node comparison; Figure 5 pairs a speed curve with a caption fixing sequence length, batch size and generation-order caching conditions.

Figure 1, p.1; Figure 5, p.8 · Main paper

Tables, comparisons and evidence

The generation-perplexity table groups sampling temperatures and top-p values rather than presenting speed as quality-neutral; the nearby finding acknowledges worse unannealed perplexity.

Table 1 and Findings 8.1-8.2, p.8 · Main paper

Appendix and reproducibility

The appendix opens with a prose roadmap assigning target-position mechanisms to A, model specifications/results to B and the sampling-lemma proof to C.

Appendix opening, p.12; B.2 and C opening, p.16 · Main paper

Clarity and writing conventions

The conclusion explicitly excludes demonstrated downstream-task performance, larger-model generalization and non-language transfer from its empirical scope.

Section 6, p.9 · Main paper

What to reuse—and what not to infer

Transferable lesson: Separate confounded design axes before drawing a comparison, and keep the quality qualification adjacent to a speed headline.

Boundary: The likelihood and runtime comparisons are not downstream task evaluations; the reported architecture sizes and sampling settings constrain transfer.

Apply this lesson using the argument and evidence worksheet.

Inspection record and sources

Checked

2026-10-07

Reading status

Writing-focused manuscript scan + selected visuals inspected

Main text

Writing-oriented scan of the main argument through physical p.9, with focused physical-page text inspection on 1, 2, 3, 4, 6, 8, 9. Framing, section progression, mechanism/proof explanation, displays, comparison conditions and conclusions were inspected. This is not exhaustive technical reading, proof verification or reproduction.

Appendix / supplement

Appendix organization and main-text pointers were checked; focused text inspection of physical pages 12, 16. Remaining appendix proofs and details were not exhaustively read. No separately linked supplement inspected.

Visually inspected PDF pages

1, 8

This is a writing-focused scan of the manuscript and the stated supplementary scope: framing, organization, visual explanation, evidence presentation and wording. It is not a line-by-line proof audit, reproduction of results or exhaustive scientific review.

• Published proceedings PDF, PMLR volume 306, retrieved 2026-10-07 · 21 pages