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6.8 kB
| /// ------------------------------------------------------ | |
| /// SwarmOps - Numeric and heuristic optimization for C# | |
| /// Copyright (C) 2003-2011 Magnus Erik Hvass Pedersen. | |
| /// Please see the file license.txt for license details. | |
| /// SwarmOps on the internet: http://www.Hvass-Labs.org/ | |
| /// ------------------------------------------------------ | |
| using System.Diagnostics; | |
| namespace SwarmOps.Optimizers | |
| { | |
| /// <summary> | |
| /// Gradient Descent (GD), follows the gradient of | |
| /// the problem in small steps. | |
| /// </summary> | |
| public class GD : Optimizer | |
| { | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| public GD() | |
| : base() | |
| { | |
| } | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| /// <param name="problem">Problem to optimize.</param> | |
| public GD(Problem problem) | |
| : base(problem) | |
| { | |
| } | |
| /// <summary> | |
| /// Get parameter, Stepsize. | |
| /// </summary> | |
| /// <param name="parameters">Optimizer parameters.</param> | |
| public double GetStepsize(double[] parameters) | |
| { | |
| return parameters[0]; | |
| } | |
| /// <summary> | |
| /// Name of the optimizer. | |
| /// </summary> | |
| public override string Name | |
| { | |
| get { return "GD"; } | |
| } | |
| /// <summary> | |
| /// Number of control parameters for optimizer. | |
| /// </summary> | |
| public override int Dimensionality | |
| { | |
| get { return 1; } | |
| } | |
| string[] _parameterName = { "Stepsize" }; | |
| /// <summary> | |
| /// Control parameter names. | |
| /// </summary> | |
| public override string[] ParameterName | |
| { | |
| get { return _parameterName ; } | |
| } | |
| static readonly double[] _defaultParameters = { 0.05 }; | |
| /// <summary> | |
| /// Default control parameters. | |
| /// </summary> | |
| public override double[] DefaultParameters | |
| { | |
| get { return _defaultParameters; } | |
| } | |
| static readonly double[] _lowerBound = { 0 }; | |
| /// <summary> | |
| /// Lower search-space boundary for control parameters. | |
| /// </summary> | |
| public override double[] LowerBound | |
| { | |
| get { return _lowerBound; } | |
| } | |
| static readonly double[] _upperBound = { 2.0 }; | |
| /// <summary> | |
| /// Upper search-space boundary for control parameters. | |
| /// </summary> | |
| public override double[] UpperBound | |
| { | |
| get { return _upperBound; } | |
| } | |
| /// <summary> | |
| /// Perform one optimization run and return the best found solution. | |
| /// </summary> | |
| /// <param name="parameters">Control parameters for the optimizer.</param> | |
| public override Result Optimize(double[] parameters) | |
| { | |
| Debug.Assert(parameters != null && parameters.Length == Dimensionality); | |
| // Signal beginning of optimization run. | |
| Problem.BeginOptimizationRun(); | |
| // Retrieve parameter specific to GD method. | |
| double stepsize = GetStepsize(parameters); | |
| // Get problem-context. | |
| double[] lowerBound = Problem.LowerBound; | |
| double[] upperBound = Problem.UpperBound; | |
| double[] lowerInit = Problem.LowerInit; | |
| double[] upperInit = Problem.UpperInit; | |
| int n = Problem.Dimensionality; | |
| // Allocate agent position and search-range. | |
| double[] x = new double[n]; // Current position. | |
| double[] v = new double[n]; // Gradient/velocity. | |
| double[] g = new double[n]; // Best-found position. | |
| // Initialize agent-position in search-space. | |
| Tools.InitializeUniform(ref x, lowerInit, upperInit); | |
| // Enforce constraints and evaluate feasibility. | |
| bool feasible = Problem.EnforceConstraints(ref x); | |
| // Compute fitness of initial position. | |
| // This counts as an iteration below. | |
| double fitness = Problem.Fitness(x, feasible); | |
| // This is the best-found position. | |
| x.CopyTo(g, 0); | |
| // Trace fitness of best found solution. | |
| Trace(0, fitness, feasible); | |
| int i; | |
| for (i = 1; Problem.Continue(i, fitness, feasible); i++) | |
| { | |
| // Compute gradient. | |
| int gradientIterations = Problem.Gradient(x, ref v); | |
| // Compute norm of gradient-vector. | |
| double gradientNorm = Tools.Norm(v); | |
| // Compute current stepsize. | |
| double normalizedStepsize = stepsize / gradientNorm; | |
| // Move in direction of steepest descent. | |
| for (int j = 0; j < n; j++) | |
| { | |
| x[j] -= normalizedStepsize * v[j]; | |
| } | |
| // Enforce constraints and evaluate feasibility. | |
| bool newFeasible = Problem.EnforceConstraints(ref x); | |
| // Compute fitness if feasibility (constraint satisfaction) is same or better. | |
| if (Tools.BetterFeasible(feasible, newFeasible)) | |
| { | |
| // Compute new fitness. | |
| double newFitness = Problem.Fitness(x, fitness, feasible, newFeasible); | |
| // Update best position and fitness found in this run. | |
| if (Tools.BetterFeasibleFitness(feasible, newFeasible, fitness, newFitness)) | |
| { | |
| // Update this run's best known position. | |
| x.CopyTo(g, 0); | |
| // Update this run's best know fitness. | |
| fitness = newFitness; | |
| } | |
| } | |
| // Trace fitness of best found solution. | |
| Trace(i, fitness, feasible); | |
| // Add iterations for gradient computation. | |
| // This is incompatible with FitnessTrace. | |
| //i += gradientIterations; | |
| } | |
| // Signal end of optimization run. | |
| Problem.EndOptimizationRun(); | |
| // Return best-found solution and fitness. | |
| return new Result(g, fitness, feasible, i); | |
| } | |
| } | |
| } |