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The phrase 'compared with existing methods' is correct and can be used in written English
For example, "This new approach to studying mathematics proved to be more efficient compared with existing methods."
Exact(60)
Compared with existing methods, the presented one has two main advantages.
Compared with existing methods, the proposed one has two main advantages.
These schemes are simple to implement, robust, accurate and fast when compared with existing methods.
Compared with existing methods allowing single mode (electrophysiology or electrochemistry) recording.
GAHap is also compared with existing methods to show its ability in generating highly reliable solutions.
The performances of the proposed genetic operators are compared with existing methods.
The proposed method is compared with existing methods using well-known benchmark problems.
Also, the proposed algorithm is compared with existing methods in Table 14, which shows the authenticity of the proposed method.
Even though the proposed method contains shadow detection processing, the implementation cost is small compared with existing methods.
Finally, in Section 4, the performances of the proposed algorithm are assessed through numerical simulations and compared with existing methods.
Numerical results of the proposed methods are compared with existing methods to confirm the reliability of the proposed methods.
More suggestions(11)
combined with existing methods
compared with existing measures
compare with existing methods
compared with existing method
in comparison to existing methods
comparison with existing methods
comparison to existing methods
compared with different methods
relative to existing methods
compared with currently available methods
compared against existing methods
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com