Sparse Support Vector Machines in Reproducing Kernel Banach Spaces

DOI10.1007/978-3-319-72456-0_38zbMath1405.65080OpenAlexW2804685622MaRDI QIDQ4611831

Yuesheng Xu, Qi Ye, Zheng Li

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_38

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Learning and adaptive systems in artificial intelligence (68T05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Sparse regularized learning in the reproducing kernel Banach spaces with the \(\ell^1\) norm ⋮ Sparse machine learning in Banach spaces ⋮ Unnamed Item ⋮ A two-step fixed-point proximity algorithm for a class of non-differentiable optimization models in machine learning

Uses Software

• PDCO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sampling in reproducing kernel Banach spaces
• Solving support vector machines in reproducing kernel Banach spaces with positive definite functions
• Proximity algorithms for the L1/TV image denoising model
• Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing
• Two-step fixed-point proximity algorithms for multi-block separable convex problems
• Atomic Decomposition by Basis Pursuit
• On the mathematical foundations of learning
• Proximity algorithms for image models: denoising
• A proximity algorithm accelerated by Gauss–Seidel iterations for L1/TV denoising models
• Kernel techniques: From machine learning to meshless methods
• Support Vector Machines
• From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
• 10.1162/1532443041827925
• Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
• Theory of Reproducing Kernels

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