Everything about Radial basis function kernel

🧭 Start here: a 6-step reading path

1. Read the overview: Radial basis function kernelA 5-minute orientation
2. Skim a recent paper: Calculation of exact Shapley values for explaining support vector machine models using the radial basis function kernelInfluential work since 2022
3. Pick up a classic book: The Elements of Statistical LearningThe most-reprinted book on the subject
4. Read the landmark paper: Random radial basis function kernel-based support vector machineCited 168 times
5. Go sideways: Random featureA closely related topic
6. Go sideways: Low-rank matrix approximationA closely related topic

🏆 Landmark papers (most cited)

• Random radial basis function kernel-based support vector machine

  Xiaojian Ding, Jian Liu, Fan Yang · 2021 · Journal of the Franklin Institute · 168 citations

• Data Classification With Radial Basis Function Networks Based on a Novel Kernel Density Estimation Algorithm

  Y.-J. Oyang, S.-C. Hwang, Y.-Y. Ou · 2005 · IEEE Transactions on Neural Networks · 136 citations

• On the Kernel Widths in Radial-Basis Function Networks

  Nabil Benoudjit, Michel Verleysen · 2003 · Neural Processing Letters · 113 citations

• Kernel orthonormalization in radial basis function neural networks

  W. Kaminski, P. Strumillo · 1997 · IEEE Transactions on Neural Networks · 85 citations

• An active learning reliability method with multiple kernel functions based on radial basis function

  Lingjian Shi, Beibei Sun, Dauda Sh. Ibrahim · 2019 · Structural and Multidisciplinary Optimization · 58 citations

• Multi-layer radial basis function neural network based on multi-scale kernel learning

  Yang Zhao, Jihong Pei, Hao Chen · 2019 · Applied Soft Computing · 34 citations

• Quadratic-radial-basis-function-kernel for classifying multi-class agricultural datasets with continuous attributes

  K. Aditya Shastry, H.A. Sanjay, G. Deexith · 2017 · Applied Soft Computing · 33 citations

• Reservoir rock permeability prediction using SVR based on radial basis function kernel

  Majid Bagheri, Hadi Rezaei · 2019 · Carbonates and Evaporites · 30 citations

🆕 Influential since 2022

• Calculation of exact Shapley values for explaining support vector machine models using the radial basis function kernel

  Andrea Mastropietro, Christian Feldmann, Jürgen Bajorath · 2023 · Scientific Reports · 56 citations

• Imbalance classification in a scaled-down wind turbine using radial basis function kernel and support vector machines

  Tiago de Oliveira Nogueira, Gilderlânio Barbosa Alves Palacio, Fabrício Damasceno Braga · 2022 · Energy · 37 citations

• Machine Learning Application of Generalized Gaussian Radial Basis Function and Its Reproducing Kernel Theory

  Himanshu Singh · 2024 · Mathematics · 17 citations

• RBFleX-NAS: Training-Free Neural Architecture Search Using Radial Basis Function Kernel and Hyperparameter Detection

  Tomomasa Yamasaki, Zhehui Wang, Tao Luo · 2025 · IEEE Transactions on Neural Networks and Learning Systems · 11 citations

• Carbon sink price prediction based on radial basis kernel function support vector machine regression model

  Xing Yang, Jun-long Mi, Jin Jiang · 2022 · International Journal of Low-Carbon Technologies · 7 citations

📚 Books worth reading

• The Elements of Statistical LearningTrevor Hastie, Robert Tibshirani · 2001
• Gaussian processes for machine learningCarl Edward Rasmussen · 2005
• Neural networksSimon S. Haykin · 1994

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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• Least-squares support vector machine Least-squares support-vector machines (LS-SVM) for statistics and in statistical modeling, are least-squares versions of support-vector machines (SVM)…
• Kernel method In machine learning, kernel machines are a class of algorithms for pattern analysis, whose best known member is the support-vector machine (SVM). These…
• Polynomial kernel In machine learning, the polynomial kernel is a kernel function commonly used with support vector machines (SVMs) and other kernelized models, that represents…
• Radial basis function network In the field of mathematical modeling, a radial basis function network is an artificial neural network that uses radial basis functions as activation functions…
• Bayesian interpretation of kernel regularization Bayesian interpretation of kernel regularization examines how kernel methods in machine learning can be understood through the lens of Bayesian statistics…
• Radial basis function In mathematics a radial basis function (RBF) is a real-valued function φ {\textstyle \varphi } whose value depends only on the distance between the input…