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The phrase "and regularized by a" is correct and usable in written English.
It can be used in contexts where you are describing a process that involves standardization or normalization by a specific entity or method.
Example: "The data was cleaned and regularized by a statistical software to ensure accuracy in the analysis."
Alternatives: "and standardized by a" or "and normalized by a".
Exact(1)
This leads to a specific scaling of an approximating elastic adhesive contact problem, discretized by a semi-implicit scheme and regularized by a BV-type gradient term.
Similar(59)
The other is rich in image details and regularized by the nonlocal TV term.
Let H →p,σ) denote the fiber Hamiltonian corresponding to the conserved total momentum →p∈R3 of the electron and the photon field, regularized by a fixed ultraviolet cutoff in the interaction term, and an infrared regularization parametrized by 0<σ≪1.
The axes and radii are fitted to the data by minimizing an energy functional, which is regularized by a smoothness constraint.
Hence, it needs to be regularized by a proper constraint model.
In the context of hybrid formulations, the Poincaré Steklov operator acting on traces of solutions to the vector Helmholtz equation in a heterogeneous interior domain with a smooth boundary is regularized by a well-known boundary integral operator related to the homogeneous exterior domain.
The resulting segmentation is regularized by a level set method.
The proposed encoder is regularized by an extension of previous work on contractive regularization.
Finally, for the regularization properties of dropout, the expectation of the dropout gradient is the gradient of the corresponding approximation ensemble, regularized by an adaptive weight decay term with a propensity for self-consistent variance minimization and sparse representations.
Cox regression regularized by an elastic net penalty from the glmnet package in R (Friedman et al, 2010) was used in order to select the optimal set of genes that are significantly associated with survival.
This constraint is regularized by including a compact and linear operator S to guarantee existence of solutions.
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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