A Support Vector Machine MUSIC Algorithm

Time-Delay Estimation Using Ground-Penetrating Radar With a Support Vector Regression-Based Linear Prediction Method

“…We can see that (5) is a typical form of SVR in complex domain. In this paper, SVR is directly formulated in complex domain to deal with complex data in a natural way [19], [20]. The research in [20] deals with complex-valued nonlinear regression problems by exploiting the widely linear estimation method in complex domain, which is very instructive in finding the solution of (5).…”

“…Since the empirical errors are complex-valued, the residuals should be minimized both in their real and imaginary parts. Therefore, the optimization task can be expressed as [19], [20], [30]:…”

“…Based on the principle of structural risk minimization, SVR has fantastic generalization ability. It is originally used only in the real domain and later extended into complex form [7], [19], [20]. In the literature, SVR has been integrated with several linear signal processing algorithms.…”

DOA Finding with Support Vector Regression Based Forward–Backward Linear Prediction

“…In Equation (11), $\mathit{\alpha }$ and $\widetilde{\mathrm{bold-italic\alpha }}$ are the coefficients vectors maximizing the quadratic objective function, which can be found using any quadratic programming (QP) solvers [20]. A small identity term $\gamma \mathrm{boldI}$ is added in the dual objective function in case of ill-conditional matrix of $\overline{\mathbf{X}}{\overline{\mathrm{boldX}}}^T$ in Equation (11) [18].…”

Methodologies for assessing costs of rail transit systems based on small sample data

“…Chaudhuri and De [31] applied fuzzy VSM to solve bankruptcy prediction problems. El Gonnouni et al [32] proposed a theoretical relationship between the minimum variance distortionless response and the multiple signal characterization methods for the direction of arrival estimation. Farquad and Bose [33] discussed the application of SVM to deal with the class imbalance problem.…”