Writing study: The Flexibility Trap: Rethinking the Value of Arbitrary Order in Diffusion Language Models

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← ICML 2026 oral writing corpus

Zanlin Ni, Shenzhi Wang, Yang Yue, Tianyu Yu, Weilin Zhao, Yeguo Hua, Tianyi Chen, Jun Song, Cheng Yu, Bo Zheng, Gao Huang · 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

16 physical pages

Before references / appendix

≈ 9.22 page-equivalents

Main figures / tables

9 / 2

Attached appendix figures / tables

3 / 4

Attached appendix span

≈ 3.96 page-equivalents

Before references / appendix: ≈ 57.63%References / intervening material: ≈ 17.62%Attached appendix: ≈ 24.75%Estimated layout envelopes, not text/artwork area. Unresolved appendix boundaries remain within the undivided post-body material.

Source-bound correction: Restore section 5, whose title begins with a quotation mark, and subsequent sections 6-7; join the wrapped Appendix B title. Physical pages 6-9 and 13 checked.

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	≈ 1.73 pp.	10.81%
2. Related Work	3	≈ 0.67 pp.	4.19%
3. Preliminaries	3	≈ 0.85 pp.	5.31%
4. The Flexibility Trap	4	≈ 2.11 pp.	13.19%
5. “Just GRPO” for dLLMs	6	≈ 1.04 pp.	6.5%
6. Experiments	7	≈ 2.02 pp.	12.63%
7. Conclusion	9	≈ 0.26 pp.	1.63%
Impact Statement	10	≈ 0.11 pp.	0.69%
Acknowledgements	10	≈ 0.07 pp.	0.44%
References	10	≈ 2.83 pp.	17.69%
Appendix	13	≈ 0.01 pp.	0.06%
A. Experimental Details	13	≈ 0.66 pp.	4.13%
B. More Analysis Results on Reasoning Boundary	13	≈ 1.38 pp.	8.63%
C. Is Random Order an Alternative?	15	≈ 0.62 pp.	3.88%
D. General Capability Preservation	15	≈ 1.28 pp.	8%

All detected figure and table locations

Main text

• Figure 1 · p. 1
• Figure 2 · p. 2
• Figure 3 · p. 5
• Figure 4 · p. 5
• Figure 5 · p. 5
• Figure 6 · p. 6
• Figure 7 · p. 6
• Table 1 · p. 8
• Figure 8 · p. 8
• Table 2 · p. 8
• Figure 9 · p. 9

Attached appendix

• Table 3 · p. 13
• Figure 10 · p. 14
• Figure 11 · p. 14
• Table 4 · p. 15
• Table 5 · p. 15
• Table 6 · p. 15
• Figure 12 · p. 16

Argument and organization

1. 1 Introduction; 2 Related work; 3 Preliminaries

   Separates parallel decoding from arbitrary-order flexibility and supplies the sampling and reinforcement-learning vocabulary.

2. 4 The Flexibility Trap; 5 Learning to Reason

   Diagnoses entropy degradation and introduces an autoregressive training order while preserving parallel inference.

3. 6 Experiments; 7 Conclusion; Appendices A-D

   Tests the simplified training recipe, cost and alternative orders, with protocol and broader-capability checks deferred.

Problem, claim and contribution

The opening distinguishes two advertised diffusion-language-model advantages and challenges arbitrary order without claiming that parallel decoding itself is unhelpful.

Abstract and Introduction, p.1 · Main paper

Argument and section order

An empirical diagnosis precedes the learning recipe, and the method explicitly distinguishes training order from a change to causal attention or the inference architecture.

Sections 4-5, pp.4-7 · Main paper

Figures, captions and visual explanation

The pass-at-k curves, solved-problem overlap diagrams and block-size plots use different visual forms to separate single-attempt accuracy, coverage and degree of order flexibility.

Figures 3-5, p.5 · Main paper

Tables, comparisons and evidence

The system-level table identifies paper-reported results and heterogeneous training/generation settings; the adjacent matched-protocol table provides a more controlled comparison.

Tables 1-2, p.8 · Main paper

Appendix and reproducibility

The supplement records reward and temperature settings, then tests random-order alternatives and general capabilities rather than treating the proposed order as the only possible counterfactual.

Appendices A-B, p.13; C-D, p.15 · Main paper

Clarity and writing conventions

The efficiency discussion distinguishes per-iteration overhead from wall-clock learning progress, keeping the hardware and the relevant accuracy trajectory visible.

Section 6.3 and Figure 9, p.9 · Main paper

What to reuse—and what not to infer

Transferable lesson: Separate a diagnostic comparison from the intervention it motivates, and label heterogeneous system comparisons differently from matched experiments.

Boundary: Pass-at-k is a coverage proxy under sampled math/code settings; the results do not establish a universal disadvantage for arbitrary-order generation.

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, 3, 5, 7, 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 13, 15. Remaining appendix proofs and details were not exhaustively read. No separately linked supplement inspected.

Visually inspected PDF pages

5, 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 · 16 pages