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JOURNAL OF CONVEX ANALYSIS, ISSN 0944-6532, 2019, Volume 26, Issue 2, pp. 617 - 633
The concepts of phi-convexity and prox-regularity for sets are studied in the framework of finite-dimensional Riemannian manifolds. We prove that the two... 
MATHEMATICS | NONSMOOTH ANALYSIS | Riemannian manifolds | prox-regular sets | Phi-convex sets | sets with the unique footpoint property | non-smooth analysis | METRIC PROJECTION
Journal Article
Croatian Operational Research Review, ISSN 1848-9931, 12/2019, Volume 10, Issue 2, pp. 289 - 314
This paper deals with the dimensionality reduction approach to study multi-dimensional constrained global optimization problems where the objective function is... 
Computational geometry | Global optimization | Algorithms | Convexity | Nonlinear programming | Concrete construction | non-smooth non-convex functions | constrained global optimization | α$-dense curves | Piyavskii’s algorithm | H\"{o}lder condition
Journal Article
Optimization Letters, ISSN 1862-4472, 2018, Volume 13, Issue 4, pp. 645 - 655
Proximal gradient methods have been found to be highly effective for solving minimization problems with non-negative constraints or 1-regularization. Under... 
Active-set complexity | Convex optimization | Active-set identification | Non-smooth optimization | Proximal gradient method | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Mathematics - Optimization and Control
Journal Article
Communications on Pure and Applied Analysis, ISSN 1534-0392, 05/2014, Volume 13, Issue 3, pp. 1187 - 1202
Journal Article
Optimization, ISSN 0233-1934, 11/2010, Volume 59, Issue 8, pp. 1199 - 1210
In this article we consider a separation technique proposed in J. Grzybowski, D. Pallaschke, and R. Urbański (A pre-classification and the separation law for... 
convex analysis | data classification | non-smooth optimization | Data classification | Convex analysis | Non-smooth optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Origins | Separation | Law | Mathematical analysis | Optimization | Images
Journal Article
JOURNAL OF GEOMETRIC ANALYSIS, ISSN 1050-6926, 07/2013, Volume 23, Issue 3, pp. 1085 - 1139
We consider repulsive potential energies , whose integrand measures tangent-point interactions, on a large class of non-smooth m-dimensional sets I pound in... 
Repulsive potentials | MATHEMATICS | Curvature energies | GLOBAL CURVATURE | Geometric Sobolev-Morrey theorem | MENGER CURVATURE | Non-smooth sets | THICKNESS | KNOTS | FLOW
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 7/2013, Volume 23, Issue 3, pp. 1085 - 1139
Journal Article
Automatica, ISSN 0005-1098, 06/2016, Volume 68, pp. 209 - 215
We study a distributed optimal consensus problem of continuous-time multi-agent systems with a common state set constraint. Each agent is assigned with an... 
Non-smooth analysis | Optimal consensus | Set constraint | Convex analysis | Multi-agent systems | Multiagent systems | Constraints | Aggregates | Cost function | Projection | Communication networks | Gain | Optimization
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 2011, Volume 61, Issue 4, pp. 428 - 442
We consider the numerical simulation of contact problems in elasticity with large deformations. The non-penetration condition is described by means of a signed... 
Contact problems | Non-linear elasticity | Level set methods | Multigrid methods | Non-smooth optimization | Large deformations | MATHEMATICS, APPLIED | STRATEGY | ALGORITHM | EQUATIONS | ELASTICITY | MECHANICS | SCHEMES | Approximation | Deformation | Mathematical analysis | Solvers | Mathematical models | Boundaries | Contact | Multiscale methods
Journal Article
Kovove Materialy, ISSN 0023-432X, 2018, Volume 56, Issue 3, pp. 199 - 204
Journal Article
Pattern Recognition, ISSN 0031-3203, 05/2016, Volume 53, pp. 12 - 24
This paper introduces an algorithm for solving the minimum sum-of-squares clustering problems using their difference of convex representations. A non-smooth... 
Cluster analysis | Non-convex optimization | Incremental clustering algorithms | Non-smooth optimization | SEARCH | K-MEANS ALGORITHM | POINT | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Data sets | Programming | Pattern recognition | Representations | Clustering | Optimization | Design optimization
Journal Article
Optimization Methods and Software, ISSN 1055-6788, 01/2019, Volume 34, Issue 1, pp. 150 - 171
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2018, Volume 26, Issue 2, pp. 405 - 429
Journal Article
Zeitschrift für Naturforschung A, ISSN 0932-0784, 04/2016, Volume 71, Issue 4, pp. 381 - 386
In this study we applied the fuzzy logic approach in order to model the energy depending on the two torsion angles for the threonine (C NO ) molecule. The... 
Decision Making | Fuzzy Sets | Gaussian | Non-Smooth Modelling | DFT | Threonine | Fuzzy sets | Decision making | Non-smooth modelling | PHYSICS, MULTIDISCIPLINARY | FILLED FUNCTION-METHOD | CHEMISTRY, PHYSICAL | SYSTEMS | Fuzzy logic | Usage | Analysis | Density functionals | Fuzzy algorithms | Fuzzy systems
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2015, Volume 259, Issue 11, pp. 6368 - 6398
We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type λu−n(x)uρ. An... 
Blow up | Logistic nonlinearity | Fractal dimension | Non-smooth sets | Asymptotic behavior | Boundedness | REACTION-DIFFUSION EQUATIONS | POSITIVE SOLUTIONS | NONLINEARITIES | UNIQUENESS | MATHEMATICS | GROWTH | ELLIPTIC-EQUATIONS | BLOW-UP | INFINITY OCCURS | BIFURCATION
Journal Article
Computers and Chemical Engineering, ISSN 0098-1354, 04/2014, Volume 63, pp. 108 - 139
Journal Article
Mathematical Control and Related Fields, ISSN 2156-8472, 03/2018, Volume 8, Issue 1, pp. 247 - 276
Journal Article
Neural Processing Letters, ISSN 1370-4621, 8/2019, Volume 50, Issue 1, pp. 933 - 955
Classical support vector regression (C-SVR) is a powerful function approximation method, which is robust against noise and performs a good generalization,... 
Computational Intelligence | Artificial Intelligence | Complex Systems | Sequential minimal optimization | Computer Science | Support vector regression | Working set selection | Non-smooth optimization | Least squares support vector regression
Journal Article
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