Penalty method
View article
A theoretical and empirical assessment of stomatal optimization modeling Open
Summary Optimal stomatal control models have shown great potential in predicting stomatal behavior and improving carbon cycle modeling. Basic stomatal optimality theory posits that stomatal regulation maximizes the carbon gain relative to …
View article
A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem Open
International audience
View article
On the Convergence of Alternating Direction Lagrangian Methods for Nonconvex Structured Optimization Problems Open
Nonconvex and structured optimization problemsarise in many engineering applications that demand scalableand distributed solution methods. The study of the convergenceproperties of these methods is in general difficult due to thenonconvexi…
View article
Improving full-waveform inversion by wavefield reconstruction with the alternating direction method of multipliers Open
Full-waveform inversion (FWI) is an iterative nonlinear waveform matching procedure subject to wave-equation constraint. FWI is highly nonlinear when the wave-equation constraint is enforced at each iteration. To mitigate nonlinearity, wav…
View article
Computationally Efficient Changepoint Detection for a Range of Penalties Open
In the multiple changepoint setting, various search methods have been proposed, which involve optimizing either a constrained or penalized cost function over possible numbers and locations of changepoints using dynamic programming. Recent …
View article
Enhanced Low-Rank Matrix Approximation Open
This letter proposes to estimate low-rank matrices by formulating a convex\noptimization problem with non-convex regularization. We employ parameterized\nnon-convex penalty functions to estimate the non-zero singular values more\naccuratel…
View article
Constrained Iterative Feedback Tuning for Robust Control of a Wafer Stage System Open
Iterative feedback tuning (IFT) enables the data-driven tuning of controller parameters without the explicit need for a parametric model. It is known, however, that IFT can lead to nonrobust solutions. The aim of this paper is to develop a…
View article
Automation and Combination of Linear-Programming Based Stabilization Techniques in Column Generation Open
The convergence of a column generation algorithm can be improved in practice by using stabilization techniques. Smoothing and proximal methods based on penalizing the deviation from the incumbent dual solution have become standards of the …
View article
Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities Open
<p>The primary objective of this paper is to study a large class of di erential variational-hemivariational inequalities involving history-dependent operators and constraints in a Banach space. First, we establish a well-posedne…
View article
Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF Open
Many modern applications of the flexible multibody systems require formulations that can effectively solve problems that include large displacements and deformations having the ability to model nonlinear materials. One method that allows d…
View article
On the Convergence of the Iterative Shrinkage/Thresholding Algorithm With a Weakly Convex Penalty Open
We consider the iterative shrinkage/thresholding algorithm (ISTA) applied to\na cost function composed of a data fidelity term and a penalty term. The\npenalty is non-convex but the concavity of the penalty is accounted for by the\ndata fi…
View article
A Constraint-Handling Technique for Genetic Algorithms using a Violation Factor Open
Over the years, several meta-heuristic algorithms were proposed and are now emerging as common methods for constrained optimization problems. Among them, genetic algorithms (GA’s) shine as popular evolutionary algorithms (EA’s)…
View article
Model Order Selection Based on Information Theoretic Criteria: Design of the Penalty Open
Information theoretic criteria (ITC) have been widely adopted in engineering\nand statistics for selecting, among an ordered set of candidate models, the one\nthat better fits the observed sample data. The selected model minimizes a\npenal…
View article
Detecting Changes in Slope With an <i><i>L</i><sub>0</sub></i> Penalty Open
While there are many approaches to detecting changes in mean for a univariate time series, the problem of detecting multiple changes in slope has comparatively been ignored. Part of the reason for this is that detecting changes in slope is…
View article
A comparison of model selection methods for prediction in the presence of multiply imputed data Open
Many approaches for variable selection with multiply imputed data in the development of a prognostic model have been proposed. However, no method prevails as uniformly best. We conducted a simulation study with a binary outcome and a logis…
View article
Robot Path Planning Based on Genetic Algorithm Fused with Continuous Bezier Optimization Open
In this study, a new method of smooth path planning is proposed based on Bezier curves and is applied to solve the problem of redundant nodes and peak inflection points in the path planning process of traditional algorithms. First, genetic…
View article
Lecture notes on ridge regression Open
The linear regression model cannot be fitted to high-dimensional data, as the high-dimensionality brings about empirical non-identifiability. Penalized regression overcomes this non-identifiability by augmentation of the loss function by a…
View article
Enhanced Sparsity by Non-Separable Regularization Open
This paper develops a convex approach for sparse one-dimensional\ndeconvolution that improves upon L1-norm regularization, the standard convex\napproach. We propose a sparsity-inducing non-separable non-convex bivariate\npenalty function f…
View article
A comparison of three heuristic optimization algorithms for solving the multi-objective land allocation (MOLA) problem Open
Multi-objective land allocation (MOLA) can be regarded as a spatial optimization problem that allocates appropriate use to specific land units concerning some objectives and constraints. Simulating annealing (SA), genetic algorithm (GA), a…
View article
Enhanced Multi-Strategy Particle Swarm Optimization for Constrained Problems with an Evolutionary-Strategies-Based Unfeasible Local Search Operator Open
Nowadays, optimization problems are solved through meta-heuristic algorithms based on stochastic search approaches borrowed from mimicking natural phenomena. Notwithstanding their successful capability to handle complex problems, the No-Fr…
View article
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity Open
In this paper, we study the stability of the nonsymmetric version of the Nitsche method without penalty for compressible and incompressible elasticity. For the compressible case we prove convergence of the error in the $H^1$- and $L^2$-nor…
View article
Penalized Proximal Policy Optimization for Safe Reinforcement Learning Open
Safe reinforcement learning aims to learn the optimal policy while satisfying safety constraints, which is essential in real-world applications. However, current algorithms still struggle for efficient policy updates with hard constraint s…
View article
Fast ADMM Algorithm for Distributed Optimization with Adaptive Penalty Open
We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of conve…
View article
Sequential model based optimization of partially defined functions under unknown constraints Open
This paper presents a sequential model based optimization framework for optimizing a black-box, multi-extremal and expensive objective function, which is also partially defined, that is it is undefined outside the feasible region. Furtherm…
View article
On the design of economic NMPC based on approximate turnpike properties Open
We discuss the design of sampled-data economic nonlinear model predictive control schemes for continuous-time systems based on turnpike properties. In a recent paper we have shown that an exact turnpike property allows establishing finite-…
View article
Adaptive discontinuous Galerkin methods for elliptic interface problems Open
© 2017 American Mathematical Society. An interior-penalty discontinuous Galerkin (dG) method for an elliptic interface problem involving, possibly, curved interfaces, with fluxbalancing interface conditions, e.g., modelling mass transfer o…
View article
New Optimization Algorithm Inspired by Kernel Tricks for the Economic Emission Dispatch Problem With Valve Point Open
With the increasing concern over environment protection, Economic Emission Dispatch (EED) problem has received much attention. It is essentially a Multi-objective Optimization Problem, which minimizes both fuel cost and emission pollution …
View article
Convex Relaxation of Grid-Connected Energy Storage System Models With Complementarity Constraints in DC OPF Open
Including complementarity constraints in energy storage system (ESS) models in optimization problems ensure an optimal solution will not produce a physically unrealizable control strategy where there is simultaneous charging and dischargin…
View article
A machine learning based energy efficient trajectory planning approach for industrial robots Open
Towards an energy efficient trajectory planning of industrial robot (IR), this paper proposes a machine learning based approach. Within the context, the IR's movements are digitalised in joint space first, which allows using data attribute…
View article
An Exact Penalty Method for Binary Optimization Based on MPEC Formulation Open
Binary optimization is a central problem in mathematical optimization and its applications are abundant. To solve this problem, we propose a new class of continuous optimization techniques, which is based on Mathematical Programming with E…