Writing study: Latent Fourier Transform

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← ICLR 2026 oral writing corpus

Mason Wang, Anna Huang · Official ICLR 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: Architecture & representation design (primary) · Empirical analysis, diagnosis & auditing.

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

32 physical pages

Before references / appendix

≈ 10.24 page-equivalents

Main figures / tables

5 / 1

Attached appendix figures / tables

8 / 11

Attached appendix span

≈ 14.89 page-equivalents

Before references / appendix: ≈ 32%References / intervening material: ≈ 21.47%Attached appendix: ≈ 46.53%Estimated layout envelopes, not text/artwork area. Unresolved appendix boundaries remain within the undivided post-body material.

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.	4.91%
2 RELATED WORK	3	≈ 1.17 pp.	3.66%
3 METHOD	4	≈ 3.32 pp.	10.38%
4 EXPERIMENTS	7	≈ 3.17 pp.	9.91%
5 CONCLUSION	10	≈ 0.34 pp.	1.06%
REPRODUCIBILITY STATEMENT	11	≈ 0.14 pp.	0.44%
REFERENCES	11	≈ 6.86 pp.	21.44%
A EXPERIMENTAL DETAILS	18	≈ 6 pp.	18.75%
B ADDITIONAL EXPERIMENTS	24	≈ 6.37 pp.	19.91%
C ADDITIONAL RELATED WORK	30	≈ 0.63 pp.	1.97%
D EXTENDED BACKGROUND	31	≈ 1 pp.	3.13%
E LLM USAGE	32	≈ 0.89 pp.	2.78%

All detected figure and table locations

Main text

• Figure 1 · p. 4
• Figure 2 · p. 5
• Table 1 · p. 9
• Figure 3 · p. 10
• Figure 4 · p. 10
• Figure 5 · p. 10

Attached appendix

• Table 2 · p. 18
• Table 3 · p. 19
• Table 4 · p. 19
• Table 5 · p. 19
• Table 6 · p. 20
• Table 7 · p. 20
• Figure 6 · p. 21
• Table 8 · p. 22
• Table 9 · p. 24
• Table 10 · p. 24
• Figure 7 · p. 25
• Figure 8 · p. 25
• Figure 9 · p. 26
• Figure 10 · p. 26
• Table 11 · p. 27
• Table 12 · p. 27
• Figure 11 · p. 28
• Figure 12 · p. 29
• Figure 13 · p. 30

Argument and organization

1. An equalizer for musical structure

   A familiar audio analogy distinguishes latent timescale control from audible-frequency equalization.

2. Construction and uses

   DFT background precedes encoding, masking and decoding, then separate variation, blending, listening and interpretation studies.

Problem, claim and contribution

The equalizer analogy works because the introduction explicitly separates audible waveform frequencies from latent changes in musical structure. It supplies intuition without treating latent hertz as acoustic pitch.

Pages 1–2; Section 3.2. · Main paper

Argument and section order

Four advertised applications become four experiment subsections. This promise-to-evidence correspondence makes variation, blending, listening and interpretation easy to locate.

Page 2 application list; Sections 4.2–4.6. · Main paper

Figures, captions and visual explanation

Figure 2 combines a left-to-right encoder–DFT–mask–inverse-DFT–decoder path with red training and blue inference annotations. The nearby training algorithm resolves details that the compact diagram omits.

Page 5, Figure 2 and Algorithm 1. · Main paper

Annotated spectrograms show retained and removed rhythmic structure next to the reference. Preservation curves are useful qualitative probes, but their per-curve normalization prevents interpreting their heights as common absolute accuracies.

Page 10, Figures 4–5; Appendix A.9, pages 22–23. · Main paper

Tables, comparisons and evidence

Table 1 separates adherence from audio quality and marks inapplicable frequency-control metrics with dashes. The prose acknowledges that ILVR retains a better blending-timbre score, resisting an all-columns-win reading.

Page 9, Table 1 and Section 4.3. · Main paper

Appendix and reproducibility

The human-study appendix exposes participant recruitment, randomized pairings, attention checks and slight inter-rater agreement. It also reports no significant blending-preference difference against cross synthesis, a qualification absent from a simple wins chart.

Appendix A.7, pages 21–22, Table 8. · Main paper

What to reuse—and what not to infer

Transferable lesson: Introduce a representation through a precise familiar analogy, then pair a training/inference diagram with task-separated metrics and explicit perceptual-study limitations.

Boundary: Evidence concerns short music clips, not images or WSI. Fourier orthogonality is not complete semantic disentanglement. Not every variant wins every metric, and listening-study preference for blending over cross synthesis is not statistically established; Table 8's test label differs from the surrounding post-hoc-test description.

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

Pages 1–11, Sections 1–5 and reproducibility; references on pages 11–16.

Appendix / supplement

Pages 17–32, contents and Appendices A–E: architectures, training, human study, ablations, additional datasets, spectral analysis, background derivation and LLM-use statement.

Visually inspected PDF pages

5, 9, 10

• ICLR 2026 final proceedings · 32 pages