Radial Basis Function Approximation with Distributively Stored Data on Spheres

2021-12-05 · Han Feng, Shao-Bo Lin, Ding-Xuan Zhou

This paper proposes a distributed weighted regularized least squares algorithm (DWRLS) based on spherical radial basis functions and spherical quadrature rules to tackle spherical data that are stored across numerous local servers and cannot be shared with each other. Via developing a novel integral operator approach, we succeed in deriving optimal approximation rates for DWRLS and theoretically demonstrate that DWRLS performs similarly as running a weighted regularized least squares algorithm with the whole data on a large enough machine. This interesting finding implies that distributed learning is capable of sufficiently exploiting potential values of distributively stored spherical data, even though every local server cannot access all the data.

📄 PDF Abstract BibTeX arXiv:2112.02499

Code (0)

등록된 구현이 없습니다.

Hierarchical RBF-KAN and RBF-SKAN Architectures for Multidimensional Function Approximation and Random Field Learning

2026-06-01 · Mingtao Xia, Qijing Shen arxiv

In this manuscript, we propose and analyze hierarchical Kolmogorov--Arnold neural network architectures employing radial basis functions as activation functions for approximating deterministic functions and random field …

On the universal approximation property of radial basis function neural networks

2023-04-05 · Aysu Ismayilova, Muhammad Ismayilov

In this paper we consider a new class of RBF (Radial Basis Function) neural networks, in which smoothing factors are replaced with shifts. We prove under certain conditions on the activation function that these networks …

Deep Radial-Basis Value Functions for Continuous Control

2020-02-05 · Kavosh Asadi, Neev Parikh, Ronald E. Parr, George D. Konidaris 외

A core operation in reinforcement learning (RL) is finding an action that is optimal with respect to a learned value function. This operation is often challenging when the learned value function takes continuous actions …

continuous-control Continuous Control Reinforcement Learning Reinforcement Learning (RL)

Data classification by quantum radial basis function networks

2019-10-19 · Changpeng Shao

Radial basis function (RBF) network is a third layered neural network that is widely used in function approximation and data classification. Here we propose a quantum model of the RBF network. Similar to the classical ca…

Binary Classification Classification General Classification

Face Detection Using Radial Basis Functions Neural Networks With Fixed Spread

2014-08-07 · K. A. A. Aziz, S. S. Abdullah

This paper presented a face detection system using Radial Basis Function Neural Networks With Fixed Spread Value. Face detection is the first step in face recognition system. The purpose is to localize and extract the fa…

Face Detection Face Recognition