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@@ -373,12 +373,15 @@ <h3 class="title is-4 has-text-centered">RobustVisRAG</h3>
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<p class="content has-text-justified">
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<b>Causal Semantic Alignment (CSA):</b> To ensure degradation-invariant semantics, we aligns degraded semantic embeddings with their clean counterparts while enforcing independence between semantic and degradation representations.:
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\[
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\mathcal{L}_{\text{CSA}} = \frac{1}{T} \sum_{i=1}^{T}
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\begin{aligned}
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\mathcal{L}_{\text{CSA}}
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&= \frac{1}{T} \sum_{i=1}^{T}
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\Big[(1 - \langle Z_{\text{sem},i}^{\text{deg}}, Z_{\text{sem},i}^{\text{clean}} \rangle)
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+ \big|\langle Z_{\text{sem},i}^{\text{deg}}, Z_{\text{deg}}^{\text{deg}} \rangle\big|\Big]
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+ \frac{1}{T} \sum_{i=1}^{T}
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+ \big|\langle Z_{\text{sem},i}^{\text{deg}}, Z_{\text{deg}}^{\text{deg}} \rangle\big|\Big] \\
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&\quad + \frac{1}{T} \sum_{i=1}^{T}
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\big\| Z_{\text{sem},i}^{\text{deg}} - Z_{\text{sem},i}^{\text{clean}} \big\|_2^2.
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\]
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\end{aligned}
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\]
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CSA enforces semantic consistency while discouraging degradation contamination.
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</p>
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</div>

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