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Article
A PDE-informed optimization algorithm for river flow predictions
An optimization-based tool for flow predictions in natural rivers is introduced assuming that some physical characteristics of a river within a spatial-time domain
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Article
Safeguarded augmented Lagrangian algorithms with scaled stop** criterion for the subproblems
At each iteration of the safeguarded augmented Lagrangian algorithm Algencan, a bound-constrained subproblem consisting of the minimization of the Powell–Hestenes–Rockafellar augmented Lagrangian function is c...
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Article
Levenberg-marquardt revisited and parameter tuning of river regression models
The Levenberg-Marquardt method is well known for solving nonlinear least squares problems. This method is mostly used in the context of overdetermined systems. In this paper it is shown that suitable implement...
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Article
Inexact-restoration modelling with monotone interpolation and parameter estimation
Complex real-life problems may be simplified in many possible ways. In several recent papers exactness requirements were considered as constraints of optimization problems and were handled with the tools of in...
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Article
On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization
Coordinate descent methods have considerable impact in global optimization because global (or, at least, almost global) minimization is affordable for low-dimensional problems. Coordinate descent methods with ...
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Article
Block coordinate descent for smooth nonconvex constrained minimization
At each iteration of a block coordinate descent method one minimizes an approximation of the objective function with respect to a generally small set of variables subject to constraints in which these variable...
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Article
Accelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients
A general framework for solving nonlinear least squares problems without the employment of derivatives is proposed in the present paper together with a new general global convergence theory. With the aim to co...
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Article
On large-scale unconstrained optimization and arbitrary regularization
We present a new algorithm for large-scale unconstrained minimization that, at each iteration, minimizes, approximately, a quadratic model of the objective function plus a regularization term, not necessarily ...
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Article
On the solution of linearly constrained optimization problems by means of barrier algorithms
Many practical problems require the solution of large-scale constrained optimization problems for which preserving feasibility is a key issue, and the evaluation of the objective function is very expensive. In...
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Article
On constrained optimization with nonconvex regularization
In many engineering applications, it is necessary to minimize smooth functions plus penalty (or regularization) terms that violate smoothness and convexity. Specific algorithms for this type of problems are av...
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Article
Open AccessRelation of the average interaction field with the coercive and interaction field distributions in First order reversal curve diagrams of nanowire arrays
First-order reversal curve diagrams, or FORC diagrams, have been studied to determine if the widths of their distributions along the interaction and coercivity axes can be related to the mean-field magnetizati...
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Article
On the use of third-order models with fourth-order regularization for unconstrained optimization
In a recent paper (Birgin et al. in Math Program 163(1):359–368, 2017), it was shown that, for the smooth unconstrained optimization problem, worst-case evaluation complexity \(O(\epsilon ^{-(p+1)/p})\)O(ϵ-(p+1)/
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Article
Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization
We present a new algorithm for solving large-scale unconstrained optimization problems that uses cubic models, matrix-free subspace minimization, and secant-type parameters for defining the cubic terms. We als...
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Article
Open AccessMulticenter prospective clinical study to evaluate children short-term neurodevelopmental outcome in congenital heart disease (children NEURO-HEART): study protocol
Congenital heart disease (CHD) is the most prevalent congenital malformation affecting 1 in 100 newborns. While advances in early diagnosis and postnatal management have increased survival in CHD children, wor...
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Article
Open AccessMathematical analysis to optimize crystal growth
For the production of sodium sulfate, a brine is crystallized and crystals of glauber salt are generated by this process. The phase data related to the most common sodium sulfate minerals are as follows: mirab...
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Article
Open AccessCause-specific mortality after a breast cancer diagnosis: a cohort study of 10,195 women in Girona and Tarragona
Evidence suggests an excess of long-term mortality due to cardiovascular diseases, second tumours and other causes in patients diagnosed with invasive breast cancer (BC). Our aim was to assess this risk of dea...
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Article
A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization
A Newton-like method for unconstrained minimization is introduced in the present work. While the computer work per iteration of the best-known implementations may need several factorizations or may use rather ...
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Article
Fast convergence of an inexact interior point method for horizontal complementarity problems
In Andreani et al. (Numer. Algorithms 57:457–485, 2011), an interior point method for the horizontal nonlinear complementarity problem was introduced. This method was based on inexact Newton directions and safegu...
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Article
Open AccessLong-term crude probabilities of death among breast cancer patients by age and stage: a population-based survival study in Northeastern Spain (Girona–Tarragona 1985–2004)
We provide population-based long-term survival indicators of breast cancer patients by quantifying the observed survival, and the probabilities of death due to breast cancer and to other causes by age and tumo...
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Article
On the minimization of possibly discontinuous functions by means of pointwise approximations
A general approach for the solution of possibly discontinuous optimization problems by means of pointwise (perhaps smooth) approximations will be proposed. It will be proved that sequences generated by pointwi...
