Constraint-based reconstruction and analysis (COBRA) provides a molecular mechanistic
framework for integrative analysis of experimental molecular systems biology data and …

In this work, we propose a modified inexact Levenberg–Marquardt method with the descent
property for solving nonlinear equations. A novel feature of the proposed method is that one …

We introduce Bella, a locally superlinearly convergent Bregman forward-backward splitting
method for minimizing the sum of two nonconvex functions, one of which satisfies a relative …

In this paper, a modified Levenberg-Marquardt algorithm (MLMA) is proposed to localize the
'point of burst'of an explosive sound source over the range of (0.5–2500) m. The objective …

We introduce a subspace inertial line search algorithm (SILSA), for finding solutions of
nonlinear monotone equations (NME). At each iteration, a new point is generated in a …

How can we determine the optimal number of neurons when constructing an artificial neural
network? This is one of the most frequently asked questions when working with this type of …

We propose in this paper New Q-Newton's method. The update rule is conceptually very
simple, using the projections to the vector subspaces generated by eigenvectors of positive …

We propose a multi-step training method for designing generalized linear classifiers. First,
an initial multi-class linear classifier is found through regression. Then validation error is …

In this paper, by combining the algorithm New Q-Newton's method-developed in previous
joint work of the author-with Armijo's Backtracking line search, we resolve convergence …

This paper pursues a twofold goal. First, we introduce and study in detail a new notion of
variational analysis called generalized metric subregularity, which is a far-going extension of …