- Deep Learning without Poor Local Minima
2016/05/23 by Kenji Kawaguchi, Kawaguchi, Kenji · 1 voice · 31 citations
Computer Science · Engineering · Mathematics · #Applied mathematics #Artificial intelligence #Artificial neural network #Computer science #Conjecture #Convex analysis #Convex optimization #Convexity #Deep learning #Deep neural networks #Function (biology) #Geometry #Hessian matrix #Machine Learning and Algorithms #Mathematical analysis #Mathematical optimization #Mathematics #Maxima and minima #Pseudoconvex function #Pure mathematics #Regular polygon #Saddle #Saddle point #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #cs.LG #math.OC #stat.ML
- On h-convexity
2006/04/06 by Sanja Varošanec · 14 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
- Boundary Invariants of Pseudoconvex Domains
1984/11/01 by David Catlin · 2 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
- Pseudo-Convex Functions
1965/01/01 by O. L. Mangasarian · 2 citations
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Proper convex function #Mathematics #Subderivative #Convex analysis #Convex set #Pseudoconvex function #Convex combination #Convex function #Duality (order theory) #Convex optimization #Differentiable function #Pure mathematics #Absolutely convex set #Regular polygon #Applied mathematics #Mathematical analysis #Geometry