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"by extensive experiments" is a correct and usable part of a sentence in written English.
You could use it to describe a method by which you came to a conclusion, for example: "We concluded that the new drug was effective by extensive experiments conducted in our laboratory."
Exact(21)
Finally, we evaluate the proposed techniques by extensive experiments.
The effectiveness and efficiency of the proposed method are validated by extensive experiments.
By extensive experiments, we show that our algorithm improves the accuracy of the disease prediction.
The performance of our model is illustrated by extensive experiments and comparisons.
The efficiency of our algorithm is validated by extensive experiments and a real-life case study.
The effectiveness is demonstrated by extensive experiments on the Cohn Kanade database.
Similar(39)
The performance of proposed LAI descriptor and calibrating method is tested by performing extensive experiments.
Moreover, we provide generic deep representations for maritime vessels and prove their success in aforementioned tasks by performing extensive experiments.
The performance of the LRSMs in music genre, mood, and multi-label classification is assessed by conducting extensive experiments on seven manually annotated benchmark datasets.
The proposed method is validated by conducting extensive experiments on three different large-scale publicly available databases that indicated the outstanding performance.
By conducting extensive experiments, we demonstrated the importance of both visual factors and social factors, and the advantages of social-visual ranking algorithm for Web image search.
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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