Found 124 Documents (Results 1–100)
Global convergence of a curvilinear search for non-convex optimization. (English) Zbl 07669761
MSC:
65-XX
On the stationary distribution of reflected Brownian motion in a non-convex wedge. (English) Zbl 1539.60105
A modified HZ conjugate gradient algorithm without gradient Lipschitz continuous condition for non convex functions. (English) Zbl 1502.65035
A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. (English) Zbl 07575573
Large deviations of convex hulls of planar random walks and Brownian motions. (Grandes déviations pour l’enveloppe convexe de marches aléatoires et de mouvements Browniens dans le plan.) (English. French summary) Zbl 1483.60015
Polynomials associated to non-convex bodies. (English) Zbl 1499.32050
Reviewer: Zoltán Finta (Cluj-Napoca)
Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates. (English) Zbl 1483.49013
Reviewer: Costică Moroşanu (Iaşi)
Towards a general interpolation scheme. (English) Zbl 1506.65026
MSC:
65D05
Local regularity result for an optimal transportation problem with rough measures in the plane. (English) Zbl 1462.35158
MSC:
35J96
A note on the lattice structure for subalgebras of the algebra of truth values of type-2 fuzzy sets. (English) Zbl 1465.03094
\(\Gamma\)-convergence of non-local, non-convex functionals in one dimension. (English) Zbl 1447.49022
Reviewer: Stepan Agop Tersian (Rousse)
Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle. (English) Zbl 1444.26011
Necessary and sufficient KKT optimality conditions in non-convex multi-objective optimization problems with cone constraints. (English) Zbl 1454.90063
Generating \(\alpha \)-dense curves in non-convex sets to solve a class of non-smooth constrained global optimization. (English) Zbl 1458.90527
MSC:
90C26
A convex-nonconvex variational method for the additive decomposition of functions on surfaces. (English) Zbl 1468.94016
Regularization with metric double integrals of functions with values in a set of vectors. (English) Zbl 1451.49038
A Lyapunov function construction for a non-convex Douglas-Rachford iteration. (English) Zbl 1440.47052
Non-local functionals related to the total variation and connections with image processing. (English) Zbl 1398.49042
Reviewer: Sorin-Mihai Grad (Vienna)
On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation. (Sur le facteur de forme des lois d’interaction pour une approximation non locale de la norme de Sobolev et de la variation totale.) (English. French summary) Zbl 1400.28007
Reviewer: Krishnan Balachandran (Coimbatore)
Existence of solutions in non-convex dynamic programming and optimal investment. (English) Zbl 1401.90255
Reviewer: Tatiana Mamedova (Saransk)
Computing tight bounds via piecewise linear functions through the example of circle cutting problems. (English) Zbl 1396.90051
Rellich type inequalities in domains of the Euclidean space. (English. Russian original) Zbl 1356.46023
Russ. Math. 60, No. 1, 60-63 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 1, 69-73 (2016).
MSC:
46E35
Generalized SOS-convexity and strong duality with SDP dual programs in polynomial optimization. (English) Zbl 1334.26024
Reviewer: Sorin-Mihai Grad (Chemnitz)
Reconstruction of polygonal shapes from sparse Fourier samples. (English) Zbl 1362.94012
Reviewer: Manfred Tasche (Rostock)
Sharp constants in Hardy type inequalities. (English. Russian original) Zbl 1336.26027
Russ. Math. 59, No. 10, 53-56 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 10, 61-65 (2015).
Reviewer: Peter S. Bullen (Vancouver)
Hardy type \(L_p\)-inequalities in \(r\)-close-to-convex domains. (English. Russian original) Zbl 1325.26044
Russ. Math. 59, No. 1, 71-74 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 1, 84-88 (2015).
New approximations of the total variation and filters in imaging. (English) Zbl 1325.26036
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 2, 223-240 (2015).
Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming. (English) Zbl 1312.49013
Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions. (English) Zbl 1310.26005
Extension of convex function. (English) Zbl 1312.26027
Reviewer: Sorin-Mihai Grad (Chemnitz)
A geometric description of domains whose Hardy constant is equal to 1/4. (English. Russian original) Zbl 1315.26012
Izv. Math. 78, No. 5, 855-876 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 5, 3-26 (2014).
Reviewer: József Sándor (Cluj-Napoca)
On Hermite-Hadamard type integral inequalities for preinvex and log-preinvex functions. (English) Zbl 1296.26099
MSC:
26D15
Optimal uncertainty quantification for legacy data observations of Lipschitz functions. (English) Zbl 1307.90147
Reviewer: Wolfgang Näther (Freiberg)
The Aizenberg formula in nonconvex domains and some of its applications. (English. Russian original) Zbl 1257.32005
J. Math. Sci., New York 182, No. 5, 699-713 (2012); translation from Zap. Nauchn. Semin. POMI 389, 206-231 (2011).
MSC:
32A26
\(L^2\)-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes. (English) Zbl 1224.65252
Radial epiderivatives and set-valued optimization. (English) Zbl 1175.90316
Reviewer: Rainer E. Burkard (Graz)
G-coupling functions. (English) Zbl 1158.90394
MSC:
90C26
Lagrange multiplier necessary conditions for global optimality for non-convex minimization over a quadratic constraint via S-lemma. (English) Zbl 1154.90574
Zero duality and saddle points of a class of augmented Lagrangian functions in constrained non-convex optimization. (English) Zbl 1152.90611
Differentiable non-convex functions and general variational inequalities. (English) Zbl 1147.65047
Reviewer: Hans Benker (Merseburg)
Control of inventories under non-convex polynomial cost functions. (English) Zbl 1151.90311
MSC:
90B05
Biconvex sets and optimization with biconvex functions: a survey and extensions. (English) Zbl 1146.90495
MSC:
90C26
Particle swarm and ant colony algorithms hybridized for improved continuous optimization. (English) Zbl 1114.65334
Phase transitions in a slender cylinder composed of an incompressible elastic material. II: Analytical solutions for two boundary-value problems. (English) Zbl 1149.74382
Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. (English) Zbl 1149.74384
MSC:
74N99
Semistrictly quasiconvex mappings and non-convex vector optimization. (English) Zbl 1099.90056
Reviewer: Stefan Nickel (Saarbrücken)
Function-valued Korovkin systems without quasiconcavity and set-valued Korovkin systems without convexity. (English) Zbl 1074.41014
Reviewer: Vijay Gupta (Auburn)
Solving pseudo-convex mixed integer optimization problems by cutting plane techniques. (English) Zbl 1035.90051
Convergence of Toland’s critical points for sequences of D. C. functions and application to the resolution of semilinear elliptic problems. (English) Zbl 1005.90048
MSC:
90C26
On primal lower-nice property. (English) Zbl 0984.49009
Reviewer: Angela Slavova (Sofia)
Set-valued force laws. Dynamics of non-smooth systems. (English) Zbl 0979.70001
Lecture Notes in Applied Mechanics. 1. Berlin: Springer. ix, 222 p. (2001).
Reviewer: Franz Selig (Bronxville)
Newton’s problem of the body of minimal resistance in the class of convex developable functions. (English) Zbl 1048.49011
A non-convex analogue to Fenchel duality. (English) Zbl 1001.46001
Reviewer: Babban Prasad Mishra (Gorakhpur)
Scalarization methods for vector variational inequality. (English) Zbl 0991.49014
Giannessi, Franco (ed.), Vector variational inequalities and vector equilibria. Mathematical theories. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 38, 217-232 (2000).
Comparison of public-domain software for black box global optimization. (English) Zbl 0963.90062
Reviewer: D.Nowack (Berlin)
Variational methods for structural optimization. (English) Zbl 0956.74001
Applied Mathematical Sciences. 140. New York, NY: Springer. xxvi, 545 p. DM 149.00; öS 1088.00; sFr 136.00; £51.50; $ 79.95 (2000).
Reviewer: A.Žilinskas (Vilnius)
Sub-gradient algorithms for computation of extreme eigenvalues of a real symmetric matrix. (English) Zbl 0956.90062
Existence of minimizers for some non convex one-dimensional integrals. (English) Zbl 0912.49015
Reviewer: J.-P.Raymond (Toulouse)
An application of the Lefschetz fixed-point theorem to non-convex differential inclusions on manifolds. (English) Zbl 0924.58088
Existence in undiscounted non-stationary non-convex multisector environments. (English) Zbl 0881.90027
MSC:
91B62
Proper efficiency and duality for a class of constrained multiobjective fractional optimal control problems containing arbitrary norms. (English) Zbl 0890.49016
Reviewer: R.N.Kaul (Delhi)
Continuous approximations of multifunctions, fixed points and coincidences. (English) Zbl 0851.47036
Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 69-97 (1995).
Reviewer: J.Appell (Würzburg)
On the performance of a discriminant function. (English) Zbl 0755.62049
MSC:
62H30
An application of the duality theory of Toland to a problem of optimal control. (English) Zbl 0718.49027
Reviewer: H.Dietrich
Some variational problems with lack of convexity and some partial differential inequalities. (English) Zbl 0716.49010
Methods of nonconvex analysis, Lect. 1st Sess. CIME, Varenna/Italy 1989, Lect. Notes Math. 1446, 58-83 (1990).
Reviewer: A.Marino
The calculus of variations and some semilinear variational inequalities of elliptic and parabolic type. (English) Zbl 0689.49011
Partial differential equations and the calculus of variations. Essays in Honor of Ennio De Giorgi, 787-822 (1989).
Reviewer: A.Marino
Direct methods in the calculus of variations. (English) Zbl 0703.49001
Applied Mathematical Sciences, 78. Berlin etc.: Springer-Verlag. ix, 308 p. DM 120.00/hbk (1989).
Reviewer: E.G.Al’brekht
On the convergence of the DFP algorithm. (Chinese. English summary) Zbl 0678.90070
Reviewer: Du Dig-Zhu
Some remarks on non-convex problems. (English) Zbl 0664.49007
Material instabilities in continuous mechanics, Proc. Symp. Edinburgh/Scotl. 1985/86, 269-286 (1988).
Reviewer: R.Schianchi
Duality theorems of extremal problems for a class of non-convex functions. (Russian) Zbl 0711.49056
MSC:
49N15
Note on contractivity of the Neumann operator. (English) Zbl 0657.31010
MSC:
31B20
Nonconvex theorems of the alternative and minimization. (English) Zbl 0613.49026
Reviewer: K.Zimmermann
An elementary partial regularity proof for vector-valued obstacle problems. (English) Zbl 0609.35011
\(\Phi\)-conjugation and nonconvex optimization. A survey. III. (English) Zbl 0605.90104
Reviewer: I.Zolezzi
Smoothing of the Pareto optimal solutions set in linear multiobjective optimization problems. (English) Zbl 0582.90090
Annu. Rev. Autom. Program. 12, part 1, 230-235 (1985).
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