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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.
123 lines
3.5 KiB
C#
123 lines
3.5 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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using System;
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using Accord.Compat;
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/// <summary>
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/// Logarithm Kernel.
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/// </summary>
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///
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/// <remarks>
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/// The Log kernel seems to be particularly interesting for
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/// images, but is only conditionally positive definite.
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/// </remarks>
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///
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[Serializable]
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public sealed class Log : KernelBase, IRadialBasisKernel, IKernel, ICloneable
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{
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private double degree;
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/// <summary>
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/// Constructs a new Log Kernel
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/// </summary>
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///
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/// <param name="degree">The kernel's degree.</param>
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///
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public Log(int degree)
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{
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this.degree = degree;
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}
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/// <summary>
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/// Constructs a new Log Kernel
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/// </summary>
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///
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/// <param name="degree">The kernel's degree.</param>
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///
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public Log(double degree)
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{
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this.degree = degree;
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}
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/// <summary>
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/// Gets or sets the kernel's degree.
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/// </summary>
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///
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public double Degree
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{
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get { return degree; }
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set { degree = value; }
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}
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/// <summary>
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/// Log Kernel function.
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/// </summary>
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///
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/// <param name="x">Vector <c>x</c> in input space.</param>
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/// <param name="y">Vector <c>y</c> 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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public override double Function(double[] x, double[] y)
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{
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double norm = 0.0;
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for (int k = 0; k < x.Length; k++)
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{
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double d = x[k] - y[k];
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norm += d * d;
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}
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return -System.Math.Log(System.Math.Pow(norm, degree / 2.0) + 1);
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}
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/// <summary>
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/// Log Kernel function.
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/// </summary>
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///
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/// <param name="z">Distance <c>z</c> 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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public double Function(double z)
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{
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return -System.Math.Log(System.Math.Pow(z, degree) + 1);
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}
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/// <summary>
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/// Creates a new object that is a copy of the current instance.
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/// </summary>
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///
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/// <returns>
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/// A new object that is a copy of this instance.
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/// </returns>
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///
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public object Clone()
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{
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return MemberwiseClone();
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}
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}
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}
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