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@@ -90,9 +90,11 @@ Exploring Refusal Loss Landscapes </title>
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 <p>
-  In general, $$\phi_\theta(x) < 0.5$$
+  From the above plot, we find that the loss landscape is more precipitous for malicious queries than for benign queries, which implies that 
+  the <strong>Refusal Loss</strong> tends to have a large gradient norm if the input represents a malicious query. This observation motivates our proposal of using 
+  the gradient norm of <strong>Refusal Loss</strong> to detect jailbreak attempts that pass the initial filtering of rejecting the input query when the function value is under 0.5.
   Below we present the definition of the <strong>Refusal Loss</strong> and how we approximate it's function value and gradient. 
-  See more details about the concept, approximation and 2-d landscape drawing of it in our paper. 
+  See more details about the concept, approximation, gradient estimation and landscape drawing of it in our paper. 
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