Sentence examples for formulated the regularization from inspiring English sources

Valmadre and Lucey [21] formulated the regularization of the trajectory basis with a temporal filter.

We formulate the regularization framework for information transferring of auxiliary data as follows: begin{array}{*{20}l} &minlimits_{textbf{U}} F textbf{U} =left|textbf{U}^{T}textbf{X}^{(a)}-textbf{T}^{(a)}right|_{F}^{2}+Omega textbf{U}), end{array} (16).

Wilson and Patwari[4 7] formulated the DFL as a radio tomography imaging (RTI) problem and utilized regularization method to solve it.

Dembo and Wang formulated the traction force field from displacement field as a Boussinesq equation 11 and then solved this inverse problem by regularization using Bayesian statistics.

Thus formulated, the argument is valid.

HB formulated the hypothesis.

Based on this sparsity prior, we formulate the sparse representation regularization term and incorporate it into the PR optimization problem.

We formulate the sparse representation regularization term and incorporate it into the PR optimization problem combining with the support and Fourier magnitude constraint.

We incorporated the formulated regularization term into the PR problem, which yields a new non-convex optimization problem.

Our multitask learning method is based on the task regularization framework, which formulates the multitask learning problem as an objective function with two terms: an empirical loss term on the training data of all tasks, and a regularization term that encodes the relationships between tasks.

Besides, there are many approaches to formulate the penalty function, among which the Tikhonov regularization [ 80], Least Absolute Shrinkage and Selection Operator (LASSO) regularization [ 91], the elastic net [ 92] and the entropy based methods [ 90, 93] are the most frequently used.