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many clustering approaches have been vs many clustering approaches

Both phrases are correct, but they serve different purposes. The first phrase 'many clustering approaches have been' is used when discussing the history or development of clustering approaches, while the second phrase 'many clustering approaches' is used to simply refer to the existence of multiple clustering approaches without specifying any action.

Last updated: March 17, 2024 • 477 views

This phrase is correct and commonly used when discussing the history or development of clustering approaches.

"many clustering approaches have been "

This phrase is used to indicate that a variety of clustering approaches have been developed or implemented in the past.

Examples:

  • Many clustering approaches have been proposed in the literature.
  • Over the years, many clustering approaches have been developed and tested.
  • In the field of data analysis, many clustering approaches have been explored.
  • Many clustering approaches have been proposed in the literature to suit various requirements. These approaches can broadly be classified into: numerical [3], ...
  • Two rounds of MST. Many clustering approaches have been proposed in the literature, but most of them are vulnerable to the different cluster sizes, shapes and ...
  • Many clustering approaches have been proposed for. WSNs. The existing approaches typically first select a set of CHs among the nodes in the network by ...
  • Many clustering approaches have been developed and reported in the literature and some of them are widely applied in real world problems such as k-means ...

Alternatives:

  • Numerous clustering approaches have been
  • Several clustering approaches have been
  • A variety of clustering approaches have been
  • Multiple clustering approaches have been
  • Various clustering approaches have been

This phrase is correct and commonly used to refer to the existence of multiple clustering approaches without specifying any action.

"many clustering approaches"

This phrase is used to simply acknowledge the presence of numerous clustering approaches without delving into details or actions related to them.

Examples:

  • Many clustering approaches are available for data analysis.
  • Researchers have studied many clustering approaches.
  • The field of machine learning involves many clustering approaches.
  • There are many clustering approaches based on different techniques and heuristics that we will give a brief survey of, in the section V. One of the ideas to find ...
  • Many clustering approaches have been proposed in the literature to suit various requirements. These approaches can broadly be classified into: numerical [3], ...
  • Jun 27, 2013 ... You can cluster using expression profile by many clustering approaches like K- means, hierarchical etc. The hierarchical clustering could be the ...
  • ... of missing value estimation appears in [69], and the problem of data normalization is addressed in [32, 55]. Furthermore, many clustering approaches apply. 3 ...

Alternatives:

  • Numerous clustering approaches
  • Several clustering approaches
  • A variety of clustering approaches
  • Multiple clustering approaches
  • Various clustering approaches

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