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Please let me know either When comparing or In comparison with should be used for cases like the following:

1) When comparing the existing methods that deal with segmentation using space based point assignment methods (Wenki, 2012), the presented method in this paper has increased the accuracy.

2) In comparison with existing methods that deal with segmentation using space based point assignment methods (Wenki, 2012), the presented method in this paper has increased the accuracy.

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In both sample sentences, the prepositional phrases that you asked about are dangling, and the sentences don't quite make sense –  jwpat7 Nov 6 '12 at 15:15
    
@jwpat7: so what it would be sir? –  gnp Nov 6 '12 at 15:38
    
Niro, see answer instead of this comment. –  jwpat7 Nov 6 '12 at 16:01
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up vote 2 down vote accepted

Either phrase can be used if used appropriately. However, in both sample sentences the phrases don't properly connect to the latter halves of their sentences. For the first, a simple change is adding one finds that after the comma. More revision is needed for the second. Although I don't know what wording you should use, I've shown some alternatives below, with “segmentation using space based point assignment methods (Wenki, 2012)” replaced by X for brevity. You could ask your question at writers.stackexchange. Ask for help with brevity, clarity, directness.

• The method presented in this paper exhibits improved accuracy relative to existing methods that deal with X.
• By comparison with existing methods that deal with X, this method has increased accuracy.
• Wenki (2012) surveyed existing methods that deal with X. The method presented in this paper is more accurate than those methods.

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