faeval.git/paper/figures/render_fig_cos_acc_dissociation.py, branch master Unnamed repository; edit this file 'description' to name the repository. paper v2.35: add Figure 2 - cross-method cos-vs-accuracy dissociation 2026-04-09T01:17:43+00:00 YurenHao0426 Blackhao0426@gmail.com 2026-04-09T01:17:43+00:00 d1c22697a99c894f07db972acb5a1a9229b0276a User said "you don't need to worry about page count for now", which freed up the page budget for substantive additions. Highest-yield substantive addition: a visual figure for the §4 ¶4 cross-method dissociation that the user previously flagged as the paper's strongest new observation but is currently text-only. New figure: paper/figures/fig_cos_acc_dissociation.pdf - Parallel-coordinates / slope-chart style - 4 columns: deep cos | accuracy | |nudging| | training-loss decrease - 3 lines: SB+pen (blue), CB+pen (red), DFA+pen (gray) - Each metric normalized to [0, 1] with raw values annotated - Shaded "cos: CB top" region on the left vs labeled "accuracy / nudging / training-loss: SB top" on the right - The X-pattern between cos and accuracy makes the dissociation visually immediate: SB rises from middle (cos) to top (functional), CB falls from top (cos) to tied with DFA (functional) Inserted between §4 ¶4 (Mode 2 mechanism) and §5 (intervention). Referenced from the §4 ¶4 functional measurements paragraph as "Figure 2". Why this figure replaces the prose-only argument's burden of proof: the X-pattern visualization is a single glance vs paragraph parsing. Reviewers will see "deep cosine ranks differently from 3 functional metrics" without needing to track the numbers. Important design choice: did NOT include deep ρ in the figure, even though it's in §4 ¶2, because ρ ranks CB > SB > DFA (same as cos), not the SB > CB > DFA pattern of the functional metrics. ρ groups with cos as a "directional alignment" metric, while the functional triad (accuracy, nudging, training-loss) groups around forward-state usefulness. The figure caption notes this distinction implicitly by listing only the three functional metrics. Page impact: total 18 → 19 pages, main content §1-§7 now spans p1-p10 (was p1-p9). Per user's relaxed constraint, page count is no longer the binding constraint. Figure auto-shifts the figure numbering: cos_acc_dissoc is now Figure 2, temporal_cross_arch becomes Figure 3, penalty_rescue → Figure 4, cross_arch_summary → Figure 5. All figure references use \\ref{} so they auto-update. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com> 
User said "you don't need to worry about page count for now", which
freed up the page budget for substantive additions. Highest-yield
substantive addition: a visual figure for the §4 ¶4 cross-method
dissociation that the user previously flagged as the paper's
strongest new observation but is currently text-only.

New figure: paper/figures/fig_cos_acc_dissociation.pdf
- Parallel-coordinates / slope-chart style
- 4 columns: deep cos | accuracy | |nudging| | training-loss decrease
- 3 lines: SB+pen (blue), CB+pen (red), DFA+pen (gray)
- Each metric normalized to [0, 1] with raw values annotated
- Shaded "cos: CB top" region on the left vs labeled
  "accuracy / nudging / training-loss: SB top" on the right
- The X-pattern between cos and accuracy makes the dissociation
  visually immediate: SB rises from middle (cos) to top (functional),
  CB falls from top (cos) to tied with DFA (functional)

Inserted between §4 ¶4 (Mode 2 mechanism) and §5 (intervention).
Referenced from the §4 ¶4 functional measurements paragraph as
"Figure 2".

Why this figure replaces the prose-only argument's burden of proof:
the X-pattern visualization is a single glance vs paragraph parsing.
Reviewers will see "deep cosine ranks differently from 3 functional
metrics" without needing to track the numbers.

Important design choice: did NOT include deep ρ in the figure, even
though it's in §4 ¶2, because ρ ranks CB > SB > DFA (same as cos),
not the SB > CB > DFA pattern of the functional metrics. ρ groups
with cos as a "directional alignment" metric, while the functional
triad (accuracy, nudging, training-loss) groups around forward-state
usefulness. The figure caption notes this distinction implicitly
by listing only the three functional metrics.

Page impact: total 18 → 19 pages, main content §1-§7 now spans
p1-p10 (was p1-p9). Per user's relaxed constraint, page count is no
longer the binding constraint. Figure auto-shifts the figure
numbering: cos_acc_dissoc is now Figure 2, temporal_cross_arch
becomes Figure 3, penalty_rescue → Figure 4, cross_arch_summary
→ Figure 5. All figure references use \\ref{} so they auto-update.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>