Writing study: Pre-training under infinite compute
← ICLR 2026 oral writing corpus
Konwoo Kim, Suhas Kotha, Percy Liang, Tatsunori Hashimoto · Official ICLR 2026 oral record
Figure, table and section ledger
Editorial contribution type: Empirical analysis, diagnosis & auditing (primary) · Learning & optimization algorithms.
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
- 41 physical pages
- Before references / appendix
- ≈ 10.11 page-equivalents
- Main figures / tables
- 9 / 0
- Attached appendix figures / tables
- 16 / 12
- Attached appendix span
- ≈ 19.84 page-equivalents
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 | ≈ 1.57 pp. | 3.83% |
| 2 STANDARD PRE-TRAINING | 3 | ≈ 1.09 pp. | 2.66% |
| 3 REGULARIZED PARAMETER SCALING | 4 | ≈ 0.56 pp. | 1.37% |
| 4 ENSEMBLE SCALING | 4 | ≈ 1.58 pp. | 3.85% |
| 5 SCALING THE SEED TOKEN COUNT UNDER INFINITE COMPUTE | 6 | ≈ 1.33 pp. | 3.24% |
| 6 DATA EFFICIENCY UNDER PARAMETER CONSTRAINTS | 7 | ≈ 0.91 pp. | 2.22% |
| 7 DOWNSTREAM TASKS | 8 | ≈ 0.67 pp. | 1.63% |
| 8 RELATED WORK | 9 | ≈ 0.57 pp. | 1.39% |
| 9 DISCUSSION | 9 | ≈ 0.28 pp. | 0.68% |
| 10 ACKNOWLEDGEMENTS | 10 | ≈ 0.18 pp. | 0.44% |
| 11 ETHICS | 10 | ≈ 0.09 pp. | 0.22% |
| 12 REPRODUCIBILITY | 10 | ≈ 0.72 pp. | 1.76% |
| REFERENCES | 11 | ≈ 11.06 pp. | 26.98% |
| A CONTINUED PRE-TRAINING | 22 | ≈ 0.5 pp. | 1.22% |
| B PROBLEM SETTING | 22 | ≈ 0.85 pp. | 2.07% |
| C STANDARD PRE-TRAINING DETAILS | 23 | ≈ 4.06 pp. | 9.9% |
| D ENSEMBLING DETAILS | 27 | ≈ 4.65 pp. | 11.34% |
| E DATA SCALING | 32 | ≈ 1.07 pp. | 2.61% |
| F DISTILLATION DETAILS | 33 | ≈ 1.43 pp. | 3.49% |
| G DOWNSTREAM TASK DETAILS | 34 | ≈ 0.97 pp. | 2.37% |
| H CONTINUED PRE-TRAINING | 35 | ≈ 0.71 pp. | 1.73% |
| I POWER LAWS | 36 | ≈ 0.45 pp. | 1.1% |
| J ADDITIONAL RELATED WORK | 36 | ≈ 1.25 pp. | 3.05% |
| K UPDATES DURING REBUTTALS | 38 | ≈ 3.89 pp. | 9.49% |
All detected figure and table locations
Main text
Attached appendix
- Table 1 · p. 22
- Table 2 · p. 23
- Figure 10 · p. 24
- Figure 11 · p. 25
- Figure 12 · p. 26
- Figure 13 · p. 26
- Figure 14 · p. 27
- Figure 15 · p. 28
- Figure 16 · p. 29
- Figure 17 · p. 30
- Figure 18 · p. 33
- Table 3 · p. 33
- Figure 19 · p. 34
- Table 4 · p. 34
- Table 5 · p. 35
- Table 6 · p. 36
- Table 7 · p. 36
- Figure 20 · p. 37
- Table 8 · p. 38
- Table 9 · p. 38
- Table 10 · p. 38
- Figure 3 · p. 39
- Figure 4 · p. 39
- Figure 5 · p. 39
- Table 11 · p. 39
- Figure 21 · p. 39
- Figure 22 · p. 40
- Table 12 · p. 41
Argument and organization
- Introduction / Data-constrained pre-training
Changes the resource constraint before defining experiments and failure cases.
- Scaling parameters / ensembles / data
Builds progressively nested scaling estimates from observed runs.
- Distillation / Downstream tasks / Discussion
Tests compression and capability implications of the data-efficiency findings.
- Appendices A–K
Separates practical transfer, optimization details, sensitivity tests and rebuttal additions.
Problem, claim and contribution
The title names an idealized resource regime, while the introduction contrasts fixed-data optimization with compute-optimal training. This makes additional training cost an intentional experimental tradeoff rather than an omitted efficiency metric.
§§1–2, pp.1–3 · Main paper
Argument and section order
The argument moves from failed naive repetition/scaling to regularization, independent ensembles and finally distillation. Each intervention answers a limitation established immediately before it, giving the long empirical study a causal narrative without claiming a new universal theorem.
§§2–6, pp.3–8 · Main paper
Figures, captions and visual explanation
Figure 8 distinguishes finite measured models from fitted dashed asymptotes, using arrows to show teacher-to-student compression. Its parameter-count axis makes deployment size visible while leaving training compute a separate question.
Figure 8, p.8 · Main paper
Tables, comparisons and evidence
The matched-token self-distillation ablation isolates whether retaining real data matters. Its explicit no-mixing comparison supports a narrower and stronger conclusion than a general statement that synthetic training avoids collapse.
Appendix F.3 and Table 4, p.34 · Main paper
Appendix and reproducibility
Appendix F reveals sampling from individual teachers, batch mixing ratios and repeated synthetic data caused by generation limits. These details materially qualify the simplified main-text ensemble-distillation description and are essential for a faithful method summary.
Appendices F.1–F.2, p.33 · Main paper
Clarity and writing conventions
The sensitivity section calls asymptotes rough estimates and admits that nested fits were not stress-tested. Rebuttal additions then test larger, aspect-ratio-corrected models, improving credibility without converting extrapolation into certainty.
Appendix I.1, p.36; Appendices K.1–K.3, pp.38–39 · Main paper
What to reuse—and what not to infer
Transferable lesson: Distinguish observed points, fitted curves and asymptotic predictions visually; connect each methodological addition to a demonstrated failure; use a matched-budget ablation for the key mechanism.
Boundary: The headline infinite-compute/data-efficiency factors are fitted limits, not achieved training runs. Local grid search is not certified global optimality. Final Appendix K re-evaluations differ slightly from Table 5; quote one named table consistently. Eight-times-smaller inference parameter count is not an eight-times reduction in training cost.
Apply this lesson using the argument and evidence worksheet.
Inspection record and sources
- Checked
- 2026-09-19
- Reading status
- Full text + selected visuals inspected
- Main text
- PDF pp.1–10, §§1–9, ethics and reproducibility; references pp.11–19
- Appendix / supplement
- PDF pp.20–41, appendix contents and Appendices A–K, including final rebuttal updates and the landscape seven-task results table
- Visually inspected PDF pages
- 8, 33, 34, 35
- official ICLR 2026 proceedings PDF · 41 pages