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@@ -251,7 +251,7 @@ <h2 class="title is-3">2. Method</h2>
               one-hot format, where $\mathbf{A}_{ij} > 0$ and $\mathbf{A}_{ik} = 0$ for all $k\neq j$, in which OptVQ
               aligns with the conventional VQ method. Subsequent experiments verify that our proposed OptVQ effectively
               solves the local pitfalls of conventional VQ and basically achieves 100% codebook utilization. For
-              efficient optimization of the optimal transport problem, we employ the Sinkhorn-Knopp algorithm. for more
+              efficient optimization of the optimal transport problem, we employ the Sinkhorn-Knopp algorithm. For more
               detailed information, please refer to the original paper and the
               algorithm is as follows:
             </p>
@@ -410,4 +410,4 @@ <h2 class="title">BibTeX</h2>
 
 </body>
 
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+</html>