1. The asymptotic behavior of the Bergman kernel on pseudoconvex model domains
   2023/08/16 by Joe Kamimoto, Kamimoto, Joe · 1 citation
   Materials Science · Mathematics · #Bergman kernel #Boundary (topology) #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Domain (mathematical analysis) #FOS: Mathematics #Flame retardant materials and properties #Function (biology) #Geology #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Kernel (algebra) #Mathematical analysis #Mathematics #Polyhedron #Pseudoconvex function #Pure mathematics #Subderivative #Type (biology)
2. On domain monotonicity of Neumann eigenvalues of convex domains
   2023/07/13 by Pedro Freitas, James B. Kennedy, Freitas, Pedro +1 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Applied mathematics #Bounded function #Combinatorics #Convex optimization #Convexity #Dimension (graph theory) #Domain (mathematical analysis) #Eigenvalues and eigenvectors #FOS: Mathematics #Geometry #Laplace operator #Mathematical analysis #Mathematics #Monotonic function #Multiplicative function #Nonlinear Partial Differential Equations #Omega #Order (exchange) #Physics #Pure mathematics #Regular polygon #Spectral Theory (math.SP) #Subderivative
3. Every proximal mapping is a resolvent of level proximal subdifferential
   2023/03/04 by Xianfu Wang, Wang, Xianfu, Ziyuan Wang +1 · 1 citation
   Computer Science · Mathematics · #26B25 #47H04 #49J53 #Advanced Banach Space Theory #Convex optimization #FOS: Mathematics #Function (biology) #Geometry #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Primary 49J52 #Pure mathematics #Regular polygon #Representation (politics) #Resolvent #Secondary 47H05 #Subderivative
4. Inner and outer smooth approximation of convex hypersurfaces. When is it possible?
   2022/04/15 by Daniel Azagra, Azagra, Daniel, Dmitriy Stolyarov +1 · 1 citation
   Computer Science · Mathematics · #Absolutely convex set #Advanced Banach Space Theory #Advanced Topology and Set Theory #Artificial intelligence #Boundary (topology) #Class (philosophy) #Classical Analysis and ODEs (math.CA) #Combinatorics #Computer science #Convex analysis #Convex body #Convex combination #Convex function #Convex hull #Convex optimization #Convex set #FOS: Mathematics #Geometry #Hypersurface #Mathematical analysis #Mathematics #Metric Geometry (math.MG) #Open set #Optimization and Variational Analysis #Orthogonal convex hull #Proper convex function #Pure mathematics #Regular polygon #Subderivative
5. A revised sequential quadratic semidefinite programming method for nonlinear semidefinite optimization
   2022/04/01 by Kosuke Okabe, Okabe, Kosuke, Yuya Yamakawa +3 · 2 citations
   Computer Science · Engineering · Mathematics · #90C22 #90C46 #Advanced Optimization Algorithms Research #Complementarity theory #Computer science #Conic optimization #Conic section #Convergence (economics) #Convex optimization #Eigenvalues and eigenvectors #FOS: Mathematics #Mathematical optimization #Mathematics #Nonlinear complementarity problem #Nonlinear programming #Nonlinear system #Optimization and Control (math.OC) #Optimization and Variational Analysis #Positive-definite matrix #Quadratic equation #Quadratic programming #Quadratically constrained quadratic program #Regular polygon #Semidefinite embedding #Semidefinite programming #Sequential quadratic programming #Sparse and Compressive Sensing Techniques #Subderivative #TRACE (psycholinguistics) #Trust region
6. Path Length Bounds for Gradient Descent and Flow
   2019/08/02 by Chirag Gupta, Sivaraman Balakrishnan, Gupta, Chirag +3 · 3 citations
   Computer Science · Engineering · Mathematics · Medicine · #Artificial Intelligence (cs.AI) #Balanced flow #Bone and Joint Diseases #Combinatorics #Computer science #Convex function #Convex optimization #Convexity #FOS: Computer and information sciences #FOS: Mathematics #Geometry #Gradient descent #Iterated function #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematical analysis #Mathematics #Optimization and Control (math.OC) #Path (computing) #Quasiconvex function #Regular polygon #Separable space #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Subderivative #cs.AI #cs.LG #math.OC #stat.ML
7. On closedness of law-invariant convex sets in rearrangement invariant spaces
   2018/10/31 by Made Tantrawan, Denny H. Leung · 1 citation
   Economics, Econometrics and Finance · Mathematics · #Absolutely convex set #Advanced Banach Space Theory #Convex analysis #Convex set #Dual space #Fixed Point Theorems Analysis #Functional Equations Stability Results #Invariant (physics) #Order (exchange) #Quasiconvex function #Regular polygon #Subderivative #math.FA #msc:46A20 #msc:46A55 #msc:46E30 #q-fin.RM
8. Global Non-convex Optimization with Discretized Diffusions
   2018/10/29 by Murat A. Erdogdu, Erdogdu, Murat A., Lester Mackey +3 · 2 citations
   Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Applied mathematics #Complement (music) #Computation (stat.CO) #Computer science #Convex analysis #Convex function #Convex optimization #Discretization #FOS: Computer and information sciences #Geometry #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical optimization #Mathematics #Proper convex function #Regular polygon #Subderivative #Topological and Geometric Data Analysis #cs.LG #stat.CO #stat.ML
9. Distributed Convex Optimization with Many Convex Constraints
   2016/10/07 by Joachim Giesen, Giesen, Joachim, Sören Laue +1 · 1 citation
   Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Computer science #Conic optimization #Convex analysis #Convex combination #Convex optimization #Convex set #Distributed Control Multi-Agent Systems #FOS: Computer and information sciences #FOS: Mathematics #Geometry #Linear matrix inequality #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematical optimization #Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Optimization and Variational Analysis #Proper convex function #Regular polygon #Subderivative
10. A convexity of functions on convex metric spaces of Takahashi and\n applications
    2015/08/30 by Ahmed A. Abdelhakim, Abdelhakim, Ahmed A. · 2 citations
    Computer Science · Mathematics · #Convex analysis #Convex metric space #Convex optimization #Convexity #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Geometry #Mathematics #Metric (unit) #Metric space #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Pure mathematics #Regular polygon #Subderivative #Variety (cybernetics) #math.FA
11. Variational Gram Functions: Convex Analysis and Optimization
    2015/07/16 by Amin Jalali, Jalali, Amin, Maryam Fazel +3 · 1 citation
    Computer Science · Engineering · Mathematics · Medicine · #Artificial intelligence #Computer science #Conic optimization #Convex analysis #Convex optimization #Convexity #Discrete mathematics #Disjoint sets #FOS: Computer and information sciences #FOS: Mathematics #Kernel (algebra) #Kernel method #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Optimization problem #Orthogonality #Proper convex function #Radial basis function kernel #Regular polygon #Representer theorem #Simple (philosophy) #Sparse and Compressive Sensing Techniques #Subderivative #Support vector machine #Systemic Lupus Erythematosus Research #cs.LG #math.OC #stat.ML
12. Necessary optimality conditions in pessimistic bilevel programming
    2012/06/26 by S. Dempe, Stephan Dempe, B.S. Mordukhovich +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Bellman equation #Bilevel optimization #Computer science #Convex optimization #Epistemology #Fixed Point Theorems Analysis #Law #Lipschitz continuity #Mathematical economics #Mathematical optimization #Mathematics #Operations research #Optimization and Mathematical Programming #Optimization and Variational Analysis #Optimization problem #Pessimism #Philosophy #Political science #Pure mathematics #Representation (politics) #Statistics #Subderivative #Value (mathematics)
13. Ball and spindle convexity with respect to a convex body
    2011/10/31 by Zsolt Lángi, Márton Naszódi, István Talata · 1 citation
    Computer Science · Mathematics · #Convex analysis #Convex body #Convex combination #Convex hull #Convex polytope #Convex set #Convexity #Holomorphic and Operator Theory #Optimization and Variational Analysis #Orthogonal convex hull #Point processes and geometric inequalities #Subderivative #math.CO #math.MG #msc:52A30 #msc:52A35 #msc:52C17
14. Subgradients of Minimal Time Functions Under Minimal Requirements
    2010/09/08 by Boris S. Mordukhovich, Boris Mordukhovich, Mordukhovich, Boris +2 · 1 citation
    Computer Science · Mathematics · Medicine · #49J52 #49J53 #90C31 #Applied mathematics #Artificial intelligence #Banach space #Calmness #Class (philosophy) #Computer science #Constant (computer programming) #Convex analysis #Convex function #Convex optimization #FOS: Mathematics #Geometry #Mathematical optimization #Mathematics #Medicine #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Optimization and Variational Analysis #Pure mathematics #Regular polygon #Subderivative #math.OC #msc:49J52 #msc:49J53 #msc:90C31
15. Multiobjective optimization problems with equilibrium constraints
    2007/07/12 by Boris S. Mordukhovich · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Compact space #Convex optimization #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Variational Analysis #Optimization problem #Parameterized complexity #Regular polygon #Spectrum (functional analysis) #Subderivative #Topology Optimization in Engineering #Variational analysis #Vector optimization
16. On h-convexity
    2006/04/06 by Sanja Varošanec · 15 citations
    Mathematics · #Analytic and geometric function theory #Class (philosophy) #Combinatorics #Convex analysis #Convex function #Convex optimization #Convexity #Function (biology) #Functional Equations Stability Results #Geometry #Logarithmically convex function #Mathematical Inequalities and Applications #Mathematics #Proper convex function #Pseudoconvex function #Pure mathematics #Regular polygon #Subderivative
17. Convex Functions and Their Applications
    2006/01/01 by Constantin P. Niculescu, Lars-Erik Persson, Lars‐Erik Persson · 2 citations
    Mathematics · #Advanced Optimization Algorithms Research #Biology #Convex analysis #Convex function #Convex optimization #Function (biology) #Geometry #Mathematics #Proper convex function #Regular polygon #Subderivative
18. Convergence and efficiency of subgradient methods for quasiconvex minimization
    2001/03/01 by Krzysztof C. Kiwiel · 3 citations
    Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Banach space #Bounded function #Constraint (computer-aided design) #Convergence (economics) #Convex function #Convex optimization #Domain (mathematical analysis) #Dykstra's projection algorithm #Epigraph #Hilbert space #Iterated function #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Variational Analysis #Projection (relational algebra) #Projection method #Quasiconvex function #Regular polygon #Sparse and Compressive Sensing Techniques #Subderivative #Subgradient method
19. On Functional Separately Convex Hulls
    1998/01/01 by J Matousek, J. Matoušek, Petr Plecháč +1 · 1 citation
    Computer Science · Mathematics · #Combinatorics #Convex analysis #Convex body #Convex conjugate #Convex hull #Convex optimization #Convex set #Convexity #Dimension (graph theory) #Discrete mathematics #Finite Group Theory Research #Geometry #Intersection (aeronautics) #Mathematics #Matrix Theory and Algorithms #Orthogonal convex hull #Point processes and geometric inequalities #Rank (graph theory) #Regular polygon #Subderivative
20. The quickhull algorithm for convex hulls
    1996/12/01 by C. Bradford Barber, David P. Dobkin, David Dobkin +1 · 142 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Bowyer–Watson algorithm #Computational Geometry and Mesh Generation #Computer science #Convex analysis #Convex body #Convex combination #Convex hull #Convex optimization #Convex polytope #Convex set #Delaunay triangulation #Digital Image Processing Techniques #Geometry #Mathematical optimization #Mathematics #Minimum-weight triangulation #Orthogonal convex hull #Output-sensitive algorithm #Proper convex function #Regular polygon #Robotics and Sensor-Based Localization #Subderivative
21. Fundamentals of Restricted-Orientation Convexity
    1996/07/01 by Eugene Fink, Derick Wood · 3 citations
    Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Convex curve #Convex optimization #Convex set #Convexity #Curvilinear coordinates #Geometry #Hyperplane #Intersection (aeronautics) #Mathematics #Orientation (vector space) #Point processes and geometric inequalities #Regular polygon #Set (abstract data type) #Subderivative
22. Combinatorial representation and convex dimension of convex geometries
    1988/01/01 by PaulH. Edelman, MichaelE. Saks · 2 citations
    Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Graph Theory Research #Combinatorics #Convex analysis #Convex body #Convex combination #Convex geometry #Convex hull #Convex optimization #Convex polytope #Convex set #Dimension (graph theory) #Distributive lattice #Distributive property #Geometry #Graph Labeling and Dimension Problems #Mathematics #Orthogonal convex hull #Partially ordered set #Pure mathematics #Regular polygon #Representation (politics) #Representation theorem #Subderivative
23. Convex programs with an additional reverse convex constraint
    1987/03/01 by Hoàng Tụy, H. Tuy · 4 citations
    Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Combinatorics #Convex analysis #Convex combination #Convex hull #Convex optimization #Convex polytope #Convex set #Geometry #Mathematics #Optimization and Variational Analysis #Polyhedron #Proper convex function #Regular polygon #Subderivative #Theory of computation #Vehicle Routing Optimization Methods
24. An Introduction to the Theory of Nonsmooth Optimization
    1986/01/01 by C. Lemaréchal, Claude Lemaréchal · 1 citation
    Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Applied mathematics #Calculus (dental) #Computer science #Conjugacy class #Convex analysis #Convex function #Convex optimization #Differentiable function #Generalization #Geometry #Mathematical analysis #Mathematics #Optimization and Variational Analysis #Point processes and geometric inequalities #Pseudoconvex function #Pure mathematics #Regular polygon #Section (typography) #Subderivative
25. Boundary Invariants of Pseudoconvex Domains
    1984/11/01 by David Catlin · 3 citations
    Mathematics · #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #Boundary (topology) #Geometry #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Pseudoconvex function #Pure mathematics #Regular polygon #Subderivative
26. On the definition and computation of rectilinear convex hulls
    1984/09/01 by Thomas Ottmann, Eljas Soisalon-Soininen, Derick Wood · 6 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Combinatorics #Computation #Computational Geometry and Mesh Generation #Computer science #Convex analysis #Convex body #Convex combination #Convex hull #Convex optimization #Convex polytope #Convex set #Digital Image Processing Techniques #Engineering #Geometry #Hull #Mathematics #Optimization and Packing Problems #Orthogonal convex hull #Plane (geometry) #Point (geometry) #Regular polygon #Set (abstract data type) #Subderivative
27. Concavity of certain maps on positive definite matrices and applications to Hadamard products
    1979/08/01 by T. Ando, T. Andô · 30 citations
    Computer Science · Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Affine transformation #Combinatorics #Concave function #Convex optimization #Convexity #Function (biology) #Geometry #Hadamard transform #Logarithmically convex function #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Monotone polygon #Order (exchange) #Positive-definite matrix #Pure mathematics #Regular polygon #Subderivative
28. Martingales with values in uniformly convex spaces
    1975/09/01 by Gilles Pisier · 4 citations
    Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Banach space #Convex optimization #Convexity #Discrete mathematics #Eberlein–Šmulian theorem #Functional analysis #Geometry #Interpolation space #Lp space #Mathematical analysis #Mathematics #Norm (philosophy) #Pure mathematics #Reflexive space #Regular polygon #Subderivative #Uniformly convex space
29. Conjugate convex functions in optimal stochastic control
    1973/11/01 by Jean-Michel Bismut, Jean‐Michel Bismut · 89 citations
    Computer Science · Economics, Econometrics and Finance · Mathematics · #Applied mathematics #Conjugate #Convex analysis #Convex conjugate #Convex optimization #Economic theories and models #Fuzzy Systems and Optimization #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Optimal control #Optimization and Variational Analysis #Regular polygon #Subderivative
30. Banach spaces which can be given an equivalent uniformly convex norm
    1972/09/01 by Per Enflo · 4 citations
    Computer Science · Mathematics · #Advanced Banach Space Theory #Banach manifold #Banach space #Convex analysis #Convex optimization #Discrete mathematics #Dual norm #Fixed Point Theorems Analysis #Functional analysis #Geometry #Interpolation space #Lp space #Mathematics #Norm (philosophy) #Optimization and Variational Analysis #Pure mathematics #Reflexive space #Regular polygon #Subderivative #Uniformly convex space

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