- On the Kolmogorov neural networks
2023/10/31 by Aysu Ismayilova, Vugar Ismailov, Ismayilova, Aysu +2 · 1 voice · 7 citations
Computer Science · Mathematics · #Activation function #Artificial intelligence #Artificial neural network #Biology #Bounded function #Computer science #Continuous function (set theory) #Face and Expression Recognition #Function (biology) #Kolmogorov equations (Markov jump process) #Layer (electronics) #Machine Learning and ELM #Materials science #Mathematical analysis #Mathematics #Multivariate statistics #Neural Networks and Applications #Pure mathematics #Statistics #cs.LG #cs.NE #math.FA #stat.ML
- Irregular sets, the 𝛽-transformation and the almost specification property
2012/05/08 by Daniel J. Thompson, Daniel Thompson · 17 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topology and Set Theory #Caveolin-1 and cellular processes #Combinatorics #Compact space #Continuous function (set theory) #Continuous map #Discrete mathematics #Function (biology) #Geometry #Hausdorff dimension #Hausdorff space #Mathematical Dynamics and Fractals #Mathematics #Metric space #Product (mathematics) #Pure mathematics #Topological entropy #Transformation (genetics)
- Livšic Theorem for matrix cocycles
2011/03/01 by Boris Kalinin · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Continuous function (set theory) #Function (biology) #Hölder condition #Lyapunov exponent #Materials science #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Periodic point #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #advanced mathematical theories
- A note on Fréchet-Montel spaces
1990/01/01 by Mikael Lindstr{öm · 1 citation
Mathematics · #Advanced Banach Space Theory #Fixed Point Theorems Analysis #Approximation Theory and Sequence Spaces #Mathematics #Bounded function #Zero (linguistics) #Sequence (biology) #Space (punctuation) #Regular polygon #Uniform boundedness #Combinatorics #Locally convex topological vector space #Uniform continuity #Continuous function (set theory) #Function (biology) #Pure mathematics #Discrete mathematics #Mathematical analysis #Geometry #Computer science #Metric space
- Extension of 𝐶∞ functions defined in a half space
1964/08/01 by R. Seeley · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Functional Equations Stability Results #Extension (predicate logic) #Mathematics #Closure (psychology) #Boundary (topology) #Connection (principal bundle) #Space (punctuation) #Topology (electrical circuits) #Function (biology) #Function space #Continuous function (set theory) #Pure mathematics #Mathematical analysis #Transformation (genetics) #Combinatorics #Geometry #Computer science
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
1934/01/01 by Hassler Whitney · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Functional Equations Stability Results #Advanced Optimization Algorithms Research #Mathematics #Differentiable function #Extension (predicate logic) #Bounded function #Monotone polygon #Continuous function (set theory) #Combinatorics #Function (biology) #Discrete mathematics #Pure mathematics #Mathematical analysis #Geometry