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The phrase "algorithm to achieve the" is correct and usable in written English.
It can be used when discussing a specific algorithm designed to accomplish a particular goal or outcome.
Example: "We developed an algorithm to achieve the optimal solution for the problem at hand."
Alternatives: "method to attain the" or "procedure to reach the".
Exact(40)
Furthermore, we have proposed an iterative algorithm to achieve the optimal Nash equilibrium of JBPS.
An efficient algorithm to achieve the design criterion is also proposed.
Full overlapping is employed for all the algorithm to achieve the best performance.
Then, we propose the dynamic augmented multi-objective particle swarm optimization algorithm to achieve the solution.
Furthermore, we design an improved algorithm to achieve the FSG model based on generalized adjacency matrix.
In this paper, we employed a matching pursuit (MP) algorithm to achieve the adaptive data acquisition.
Similar(20)
We propose a number of algorithms to achieve the three consistencies.
Besides formal definitions of the E-EGG are provided, steps and algorithms to achieve the bidirectional transformation and to check the correctness of BPMN models' structure are presented.
Different from previous studies, we propose the intelligent driving methods (IDMs), including expert knowledge system and online optimization algorithms, to achieve the multi-objective (safety, punctuality, energy efficient, passengers' riding comfort, and so on) control of HST.
To minimize user effort, Vukicevic et al. [ 6] applied genetic algorithms to achieve the best prognostic performances relevant for clinicians (i.e., correctness, discrimination and calibration).
The mass spectra data in pkl files were compared with the putative protein sequences of PaMx73 using PLGS, OMSSA [ 66] and MASCOT (Version 1.6b9, Matrix Science, London; available at http://www.matrixscience.com) search algorithms to achieve the protein identification.
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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