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richard-churchman
cc0a2bee21
Included open-source Accord.net library code natively to the solution given the deprecated state of that project. Accord.net will be supported inside Jube for own needs (such as upgrading to .Net 7+). Accord.net libraries modified to compile to .Net 6. Modified Accord.net libraries to better support Newtonsoft Json.net serialisation. Included annotations in the Accord.net libraries to house important dependency statistics. Serialised json can be used independently of Jube to recall a Neural Network. Removal of Binary Serializer totally as a precursor to the projects support of .Net 7+. Extensive bug fixing in crucial functions of Neural Network training and recall. While this part of the system remains in Alpha, it is substantially more fit for purpose.
83 lines
3.3 KiB
C#
83 lines
3.3 KiB
C#
// Accord Statistics Library
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// The Accord.NET Framework
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// http://accord-framework.net
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//
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// Copyright © César Souza, 2009-2017
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// cesarsouza at gmail.com
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//
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// This library is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 2.1 of the License, or (at your option) any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License along with this library; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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//
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namespace Accord.Statistics.Kernels
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{
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/// <summary>
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/// Interface for Radial Basis Function kernels.
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/// </summary>
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///
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/// <remarks>
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/// <para>
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/// A radial basis function (RBF) is a real-valued function whose value depends only
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/// on the distance from the origin, so that <c>ϕ(x) = ϕ(||x||)</c>; or alternatively
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/// on the distance from some other point <c>c</c>, called a center, so that
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/// <c>ϕ(x,c) = ϕ(||x−c||)</c>. Any function ϕ that satisfies the property
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/// <c>ϕ(x) = ϕ(||x||)</c> is a radial function. The norm is usually Euclidean distance,
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/// although other distance functions are also possible. </para>
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///
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/// <para>
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/// Examples of radial basis kernels include:</para>
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/// <list type="bullet">
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/// <description><see cref="Circular"/></description>
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/// <description><see cref="Gaussian"/></description>
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/// <description><see cref="Log"/></description>
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/// <description><see cref="Multiquadric"/></description>
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/// <description><see cref="Power "/></description>
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/// <description><see cref="RationalQuadratic"/></description>
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/// <description><see cref="Spherical"/></description>
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/// <description><see cref="SquaredSinc"/></description>
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/// <description><see cref="SymmetricTriangle"/></description>
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/// <description><see cref="TStudent"/></description>
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/// <description><see cref="Wave"/></description>
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/// </list>
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///
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/// <para>
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/// References:
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/// <list type="bullet">
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/// <item><description>
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/// Wikipedia, The Free Encyclopedia. Radial basis functions. Available on:
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/// https://en.wikipedia.org/wiki/Radial_basis_function </description></item>
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/// </list></para>
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/// </remarks>
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///
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/// <example>
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/// <code source="Unit Tests\Accord.Tests.Statistics\Kernels\GaussianTest.cs" region="doc_rbf" />
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/// </example>
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///
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public interface IRadialBasisKernel : IKernel
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{
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/// <summary>
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/// The kernel function.
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/// </summary>
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///
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/// <param name="z">Distance <c>z</c> between two vectors in input space.</param>
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///
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/// <returns>Dot product in feature (kernel) space.</returns>
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///
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double Function(double z);
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}
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}
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