Fix duplicate paragraph and misleading table caption
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main.tex
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main.tex
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@ -381,10 +381,10 @@ for the base model.
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\begin{table}[H]
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\begin{table}[H]
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\centering
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\centering
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\caption{Representative IFD samples (base model sorted by descending IFD).}
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\caption{Representative IFD samples covering four patterns.}
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\label{tab:ifd_examples}
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\label{tab:ifd_examples}
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\small
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\small
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\begin{tabular}{@{}c c c c c c p{4.5cm}@{}}
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\begin{tabular}{@{}c c c c c c c p{4.5cm}@{}}
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\toprule
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\toprule
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\textbf{Idx} &
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\textbf{Idx} &
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\textbf{Base IFD} &
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\textbf{Base IFD} &
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@ -392,18 +392,16 @@ for the base model.
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\textbf{$L_{\text{cond}}^{\text{base}}$} &
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\textbf{$L_{\text{cond}}^{\text{base}}$} &
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\textbf{$L_{\text{uncond}}^{\text{base}}$} &
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\textbf{$L_{\text{uncond}}^{\text{base}}$} &
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\textbf{$L_{\text{cond}}^{\text{ckpt}}$} &
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\textbf{$L_{\text{cond}}^{\text{ckpt}}$} &
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\textbf{Instruction (truncated)} \\
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\textbf{$L_{\text{uncond}}^{\text{ckpt}}$} &
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\textbf{Instruction} \\
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\midrule
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\midrule
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0 & 4.605 & 1.525 & 12.38 & 2.69 & 3.77 & Complete the following analogy \dots \\
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0 & 4.605 & 1.525 & 12.38 & 2.69 & 3.77 & 2.47 & Complete analogy: loud is to quiet as day is to \\
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1 & 4.331 & 0.645 & 11.44 & 2.64 & 1.66 & Classify the following text \dots \\
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1 & 3.741 & 0.702 & 11.75 & 3.14 & 2.17 & 3.09 & Label news article as ``Political'' or ``Entertainment'' \\
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2 & 3.741 & 0.702 & 11.75 & 3.14 & 2.17 & Label the following news article \dots \\
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2 & 1.044 & 0.089 & 3.50 & 3.35 & 0.28 & 3.10 & Find the capital of Spain \\
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3 & 0.977 & 0.904 & 2.57 & 2.63 & 2.24 & Describe the role of a project manager \\
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3 & 1.056 & 0.147 & 4.09 & 3.88 & 0.60 & 4.07 & Edit sentence for correct grammar: ``I were just going to'' \\
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4 & 0.977 & 0.915 & 2.19 & 2.25 & 1.98 & Select a historical figure \dots \\
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4 & 0.977 & 0.904 & 2.57 & 2.63 & 2.24 & 2.48 & Describe the role of a project manager \\
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5 & 0.977 & 0.949 & 2.57 & 2.63 & 2.26 & Write the lyrics for an upbeat song \dots \\
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5 & 0.370 & 0.249 & 1.37 & 3.70 & 0.85 & 3.42 & Convert the given paragraph to a list \\
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6 & 0.977 & 0.925 & 2.94 & 3.00 & 2.62 & Explain how neural networks \dots \\
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6 & 0.307 & 0.062 & 0.70 & 2.29 & 0.15 & 2.43 & Remove third-person words from sentence \\
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7 & 0.370 & 0.249 & 1.37 & 3.70 & 0.85 & Convert the given paragraph to a list \\
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8 & 0.338 & 0.197 & 0.98 & 2.91 & 0.55 & Insert a suitable greeting \dots \\
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9 & 0.307 & 0.062 & 0.70 & 2.29 & 0.15 & Remove third-person words \dots \\
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\bottomrule
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\bottomrule
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\end{tabular}
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\end{tabular}
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\end{table}
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\end{table}
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@ -431,28 +429,35 @@ Over $N=3000$ SFT samples:
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\subsection{Observed Patterns}
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\subsection{Observed Patterns}
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\paragraph{High-IFD samples (base IFD $> 3$, e.g.,~rows~0--2).}
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\paragraph{High-IFD samples (base IFD $> 3$, e.g.,~rows~0,~1).}
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These are tasks requiring task-intent comprehension: analogy completion,
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These are tasks requiring task-intent comprehension: analogy completion
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text classification, article labeling. In the base model (15B pretraining), conditional
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and article labeling. In the base model (15B pretraining), conditional
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loss is extremely high ($L_{\text{cond}} \approx 12$), meaning the
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loss is extremely high ($L_{\text{cond}} \approx 12$), meaning the
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instruction still acts as noise. After 1K SFT steps, IFD drops
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instruction still acts as noise. After 1K SFT steps, IFD drops
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sharply (e.g., $4.605 \rightarrow 1.525$), demonstrating
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sharply (e.g., $4.605 \rightarrow 1.525$), demonstrating
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that SFT teaches the model to interpret and follow abstract task
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that SFT teaches the model to interpret and follow abstract task
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descriptions.
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descriptions.
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\paragraph{Low-IFD samples (base IFD $< 0.4$, e.g.,~rows~7--9).}
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\paragraph{Low-IFD samples (base IFD $< 0.4$, e.g.,~rows~5,~6).}
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These are formatting or extraction tasks: ``Convert paragraph to list,''
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These are formatting or extraction tasks: ``Convert paragraph to list,''
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``Remove third-person words,'' ``Insert a greeting.'' Unconditional
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``Remove third-person words.'' Unconditional
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loss is much higher than conditional loss even in the base model,
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loss is much higher than conditional loss even in the base model,
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because the instruction naturally constrains the output space. The
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because the instruction naturally constrains the output space. The
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pattern persists after SFT but with lower absolute values.
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pattern persists after SFT but with lower absolute values.
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\paragraph{Mid-range samples (base IFD $\approx 0.98$, e.g.,~rows~3--6).}
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\paragraph{Mid-range with large drop (e.g.,~rows~2,~3).}
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These cover factual Q\&A and generation tasks: ``Describe the role of
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These are factual QA or grammar correction tasks. Base IFD is
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a project manager,'' ``Write lyrics for a song,'' ``Explain how neural
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$\approx 1.05$ (instruction has little effect), but after SFT
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networks work.'' In the base model IFD $\approx 1$ (instruction has
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IFD drops to $\approx 0.1$ as the model learns the precise answer
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little effect); after SFT IFD drops to $\approx 0.9$, driven by
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(e.g., ``Madrid'' for ``capital of Spain''), making conditional loss
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a clear reduction in conditional loss.
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near-zero while unconditional loss remains high.
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\paragraph{Mid-range with small drop (e.g.,~row~4).}
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These are open-ended generation tasks (``Describe the role of a
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project manager''). Base IFD $\approx 0.98$; after SFT it drops
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only modestly to $\approx 0.9$, since both conditional and
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unconditional losses decrease proportionally without a memorized
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target.
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\paragraph{Cross-model correlation.}
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\paragraph{Cross-model correlation.}
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The moderate Pearson correlation ($r = 0.38$) suggests that while
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The moderate Pearson correlation ($r = 0.38$) suggests that while
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