The phrase "alternate methods based on" is correct and usable in written English.
You can use it when discussing different approaches or techniques that are derived from a specific foundation or principle.
Example: "Researchers are exploring alternate methods based on traditional practices to improve efficiency in agriculture."
Alternatives: "alternative techniques derived from" or "different approaches grounded in".
Reanalysis of the power spectrum of the data using alternate methods based on the Lomb-Scargle [11] [13] transform, which does not require evenly spaced data and therefore no rebinning, is a robust test of whether binning and interpolation introduced any artifacts.
Lipid-based methods used to transfect plasmid DNA into mammalian cell lines are generally not effective for primary cells, as our assessment of several widely used lipid reagents demonstrated, and alternate methods based on electroporation have been developed.
For the univariate distributions of 3B, we also estimated the divergence using an alternate method based on Szegö's theorem (Ramırez et al., 2009) as implemented by (Szabó, 2014).
To solve the ill-posed and nonlinear inverse problem of ECT image reconstruction, a new ECT image reconstruction method based on fast linearized alternating direction method of multipliers (FLADMM) is proposed in this paper.
Further, to rank the DMUs when both optimistic and pessimistic situations are taken simultaneously as hybrid approach, we propose two alternate ranking methods based on levels of inefficiencies and efficiencies respectively.
In this paper, we propose two descent alternating direction methods based on a logarithmic-quadratic proximal method for structured variational inequalities.
For a low SNR =-5 dB, as shown in the bottom picture in Figure 2, both the methods based on alternating optimization, namely ACDC and ACDC LU +, converge to local minima which are less desirable.
Two methods based on the alternating stress and mean stress in American Society of Mechanical Engineers (ASME) code provide the design codes for multiaxial fatigue evaluation: constant principal stress direction and variation of principal stress direction.
Pahre and collaborators also went a step beyond the infrared classification scheme to propose three quantitative methods, based on the infrared pictures, which are alternate ways to classify the galaxies.
Nevertheless, like all the methods based on line search, trust region strategies, and alternating optimization, they appear to be dependent on initialization, requiring in practice a multi-initialization procedure.
The German coach Karl Adam in the 1950s produced good results when he introduced new training methods based on Fahrtspiel ("speed play"), originally used for training runners, and on interval training (short sprints alternated with long runs).
