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ISIPINK · Mar 10, 2024 · 0427dc2 · 0427dc2
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diff --git a/latex/main paper/main.pdf b/latex/main paper/main.pdf
diff --git a/latex/main paper/main.tex b/latex/main paper/main.tex
@@ -1642,7 +1642,7 @@ \section{Limitations and Future Work}
 prove beneficial in specific use cases. Furthermore, insights derived from unbiased algorithms could
 enhance the performance of biased algorithms. \\
 
-Our techniques for linear IVPs, which are based on transforming to integral equations, may be extendable 
+Our techniques for linear IVPs, which are based on transforming to integral equations should be extendable 
 to linear delay differential equations. Another potential direction involves directly estimating 
 the Magnus expansion, where unbiased estimators for $e^{\int_{0}^{\Delta t} A(s)ds} y(0)$ are required. 
 This is related to work on evaluating matrix functions with Monte Carlo methods, as seen in \cite{guidotti_fast_2023}. \\
@@ -1662,7 +1662,7 @@ \section{Limitations and Future Work}
 by the adjoint main Poisson method in a manner similar to the heat equation. 
 % maybe I should add this
 We have not fully discussed how to combine presampling with path stitching and when it is possible to do so.
-It has a nice interepertation with a U-statistic. \\
+It has a nice interpretation as a U-statistic. \\
 
 
 % We believe that understanding and optimizing unbiased and deterministic linear ODE solvers