private static ReconstructionInfo ReconstructSimple(Data input, float[,] fullPsf, string folder, int cutFactor, int maxMajor, string dirtyPrefix, string xImagePrefix, StreamWriter writer, double objectiveCutoff, float epsilon, bool startWithFullPSF)
{
var info = new ReconstructionInfo();
var psfCut = PSF.Cut(fullPsf, cutFactor);
var maxSidelobe = PSF.CalcMaxSidelobe(fullPsf, cutFactor);
var totalSize = new Rectangle(0, 0, input.c.GridSize, input.c.GridSize);
var psfBMap = startWithFullPSF ? fullPsf : psfCut;
var bMapCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfBMap, totalSize), new Rectangle(0, 0, psfBMap.GetLength(0), psfBMap.GetLength(1)));
var fastCD = new FastSerialCD(totalSize, psfCut);
if (startWithFullPSF)
{
fastCD.ResetLipschitzMap(fullPsf);
}
var referenceCD = new FastSerialCD(totalSize, psfCut);
referenceCD.ResetLipschitzMap(fullPsf);
FitsIO.Write(psfCut, folder + cutFactor + "psf.fits");
var lambda = (float)(LAMBDA_GLOBAL * PSF.CalcMaxLipschitz(psfBMap));
var lambdaTrue = (float)(LAMBDA_GLOBAL * PSF.CalcMaxLipschitz(fullPsf));
var xImage = new float[input.c.GridSize, input.c.GridSize];
var residualVis = input.visibilities;
DeconvolutionResult lastResult = null;
for (int cycle = 0; cycle < maxMajor; cycle++)
{
Console.WriteLine("cycle " + cycle);
var dirtyGrid = IDG.GridW(input.c, input.metadata, residualVis, input.uvw, input.frequencies);
var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, input.c.VisibilitiesCount);
FFT.Shift(dirtyImage);
FitsIO.Write(dirtyImage, folder + dirtyPrefix + cycle + ".fits");
//calc data and reg penalty
var dataPenalty = Residuals.CalcPenalty(dirtyImage);
var regPenalty = ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
var regPenaltyCurrent = ElasticNet.CalcPenalty(xImage, lambda, alpha);
info.lastDataPenalty = dataPenalty;
info.lastRegPenalty = regPenalty;
var maxDirty = Residuals.GetMax(dirtyImage);
bMapCalculator.ConvolveInPlace(dirtyImage);
FitsIO.Write(dirtyImage, folder + dirtyPrefix + "bmap_" + cycle + ".fits");
var maxB = Residuals.GetMax(dirtyImage);
var correctionFactor = Math.Max(maxB / (maxDirty * fastCD.MaxLipschitz), 1.0f);
var currentSideLobe = maxB * maxSidelobe * correctionFactor;
var currentLambda = Math.Max(currentSideLobe / alpha, lambda);
writer.Write(cycle + ";" + currentLambda + ";" + currentSideLobe + ";" + referenceCD.GetAbsMaxDiff(xImage, dirtyImage, lambdaTrue, alpha) + ";" + dataPenalty + ";" + regPenalty + ";" + regPenaltyCurrent + ";");
writer.Flush();
//check wether we can minimize the objective further with the current psf
var objectiveReached = (dataPenalty + regPenalty) < objectiveCutoff;
var minimumReached = (lastResult != null && referenceCD.GetAbsMaxDiff(xImage, dirtyImage, lambdaTrue, alpha) < MAJOR_EPSILON && lastResult.Converged);
if (!objectiveReached & !minimumReached)
{
info.totalDeconv.Start();
lastResult = fastCD.Deconvolve(xImage, dirtyImage, currentLambda, alpha, 30000, epsilon);
info.totalDeconv.Stop();
FitsIO.Write(xImage, folder + xImagePrefix + cycle + ".fits");
writer.Write(lastResult.Converged + ";" + lastResult.IterationCount + ";" + lastResult.ElapsedTime.TotalSeconds + "\n");
writer.Flush();
FFT.Shift(xImage);
var xGrid = FFT.Forward(xImage);
FFT.Shift(xImage);
var modelVis = IDG.DeGridW(input.c, input.metadata, xGrid, input.uvw, input.frequencies);
residualVis = Visibilities.Substract(input.visibilities, modelVis, input.flags);
}
else
{
writer.Write(false + ";0;0");
writer.Flush();
break;
}
}
bMapCalculator.Dispose();
return(info);
}
public bool DeconvolveGreedy(float[,] xImage, float[,] residuals, float[,] psf, float lambda, float alpha, Random random, int blockSize, int threadCount, int maxIteration = 100, float epsilon = 1e-4f)
{
var xExplore = Copy(xImage);
var xCorrection = new float[xImage.GetLength(0), xImage.GetLength(1)];
var PSFCorr = PSF.CalcPaddedFourierCorrelation(psf, new Rectangle(0, 0, residuals.GetLength(0), residuals.GetLength(1)));
//calculate gradients for each pixel
var gExplore = Residuals.CalcGradientMap(residuals, PSFCorr, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var gCorrection = new float[residuals.GetLength(0), residuals.GetLength(1)];
var psf2 = PSF.CalcPSFSquared(psf);
FitsIO.Write(gExplore, "gExplore.fits");
yBlockSize = blockSize;
xBlockSize = blockSize;
degreeOfSeperability = CountNonZero(psf);
tau = threadCount; //number of processors
var maxLipschitz = (float)PSF.CalcMaxLipschitz(psf);
var theta = Greedy(xExplore, xCorrection, gExplore, gCorrection, psf2, maxLipschitz, lambda, alpha, random, maxIteration, epsilon);
//decide which version should be taken#
var CONVKernel = PSF.CalcPaddedFourierConvolution(psf, new Rectangle(0, 0, residuals.GetLength(0), residuals.GetLength(1)));
var residualsCalculator = new PaddedConvolver(CONVKernel, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var theta0 = tau / (float)(xExplore.Length / (yBlockSize * xBlockSize));
var tmpTheta = theta < 1.0f ? ((theta * theta) / (1.0f - theta)) : theta0;
//calculate residuals
var residualsExplore = Copy(xExplore);
var residualsAccelerated = Copy(xExplore);
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
residualsExplore[i, j] -= xImage[i, j];
residualsAccelerated[i, j] += tmpTheta * xCorrection[i, j] - xImage[i, j];
xCorrection[i, j] = tmpTheta * xCorrection[i, j] + xExplore[i, j];
}
}
FitsIO.Write(xExplore, "xExplore.fits");
FitsIO.Write(xCorrection, "xAcc.fits");
residualsCalculator.ConvolveInPlace(residualsExplore);
residualsCalculator.ConvolveInPlace(residualsAccelerated);
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
residualsExplore[i, j] -= residuals[i, j];
residualsAccelerated[i, j] -= residuals[i, j];
}
}
var objectiveExplore = Residuals.CalcPenalty(residualsExplore) + ElasticNet.CalcPenalty(xExplore, lambda, alpha);
var objectiveAcc = Residuals.CalcPenalty(residualsAccelerated) + ElasticNet.CalcPenalty(xCorrection, lambda, alpha);
if (objectiveAcc < objectiveExplore)
{
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
xImage[i, j] = xCorrection[i, j];
}
}
}
else
{
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
xImage[i, j] = xExplore[i, j];
}
}
}
return(objectiveAcc < objectiveExplore);
}
private static void ReconstructMinorCycle(MeasurementData input, GriddingConstants c, int cutFactor, float[,] fullPsf, string folder, string file, int minorCycles, float searchPercent, bool useAccelerated = true, int blockSize = 1, int maxCycle = 6)
{
var metadata = Partitioner.CreatePartition(c, input.UVW, input.Frequencies);
var totalSize = new Rectangle(0, 0, c.GridSize, c.GridSize);
var psfCut = PSF.Cut(fullPsf, cutFactor);
var maxSidelobe = PSF.CalcMaxSidelobe(fullPsf, cutFactor);
var sidelobeHalf = PSF.CalcMaxSidelobe(fullPsf, 2);
var random = new Random(123);
var approx = new ApproxFast(totalSize, psfCut, 8, blockSize, 0.1f, searchPercent, false, useAccelerated);
using (var bMapCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfCut, totalSize), new Rectangle(0, 0, psfCut.GetLength(0), psfCut.GetLength(1))))
using (var bMapCalculator2 = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(fullPsf, totalSize), new Rectangle(0, 0, fullPsf.GetLength(0), fullPsf.GetLength(1))))
using (var residualsConvolver = new PaddedConvolver(totalSize, fullPsf))
{
var currentBMapCalculator = bMapCalculator;
var maxLipschitz = PSF.CalcMaxLipschitz(psfCut);
var lambda = (float)(LAMBDA * maxLipschitz);
var lambdaTrue = (float)(LAMBDA * PSF.CalcMaxLipschitz(fullPsf));
var alpha = ALPHA;
ApproxFast.LAMBDA_TEST = lambdaTrue;
ApproxFast.ALPHA_TEST = alpha;
var switchedToOtherPsf = false;
var writer = new StreamWriter(folder + "/" + file + "_lambda.txt");
var data = new ApproxFast.TestingData(new StreamWriter(folder + "/" + file + ".txt"));
var xImage = new float[c.GridSize, c.GridSize];
var residualVis = input.Visibilities;
for (int cycle = 0; cycle < maxCycle; cycle++)
{
Console.WriteLine("cycle " + cycle);
var dirtyGrid = IDG.GridW(c, metadata, residualVis, input.UVW, input.Frequencies);
var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, c.VisibilitiesCount);
FFT.Shift(dirtyImage);
FitsIO.Write(dirtyImage, folder + "/dirty" + cycle + ".fits");
var minLambda = 0.0f;
var dirtyCopy = Copy(dirtyImage);
var xCopy = Copy(xImage);
var currentLambda = 0f;
//var residualsConvolver = new PaddedConvolver(PSF.CalcPaddedFourierConvolution(fullPsf, totalSize), new Rectangle(0, 0, fullPsf.GetLength(0), fullPsf.GetLength(1)));
for (int minorCycle = 0; minorCycle < minorCycles; minorCycle++)
{
FitsIO.Write(dirtyImage, folder + "/dirtyMinor_" + minorCycle + ".fits");
var maxDirty = Residuals.GetMax(dirtyImage);
var bMap = currentBMapCalculator.Convolve(dirtyImage);
var maxB = Residuals.GetMax(bMap);
var correctionFactor = Math.Max(maxB / (maxDirty * maxLipschitz), 1.0f);
var currentSideLobe = maxB * maxSidelobe * correctionFactor;
currentLambda = (float)Math.Max(currentSideLobe / alpha, lambda);
if (minorCycle == 0)
{
minLambda = (float)(maxB * sidelobeHalf * correctionFactor / alpha);
}
if (currentLambda < minLambda)
{
currentLambda = minLambda;
}
writer.WriteLine(cycle + ";" + minorCycle + ";" + currentLambda + ";" + minLambda);
writer.Flush();
approx.DeconvolveTest(data, cycle, minorCycle, xImage, dirtyImage, psfCut, fullPsf, currentLambda, alpha, random, 15, 1e-5f);
FitsIO.Write(xImage, folder + "/xImageMinor_" + minorCycle + ".fits");
if (currentLambda == lambda | currentLambda == minLambda)
{
break;
}
Console.WriteLine("resetting residuals!!");
//reset dirtyImage with full PSF
var residualsUpdate = new float[xImage.GetLength(0), xImage.GetLength(1)];
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
residualsUpdate[i, j] = xImage[i, j] - xCopy[i, j];
}
});
residualsConvolver.ConvolveInPlace(residualsUpdate);
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
dirtyImage[i, j] = dirtyCopy[i, j] - residualsUpdate[i, j];
}
});
}
if (currentLambda == lambda & !switchedToOtherPsf)
{
approx.ResetAMap(fullPsf);
currentBMapCalculator = bMapCalculator2;
lambda = lambdaTrue;
switchedToOtherPsf = true;
writer.WriteLine("switched");
writer.Flush();
}
FitsIO.Write(xImage, folder + "/xImage_" + cycle + ".fits");
FFT.Shift(xImage);
var xGrid = FFT.Forward(xImage);
FFT.Shift(xImage);
var modelVis = IDG.DeGridW(c, metadata, xGrid, input.UVW, input.Frequencies);
residualVis = Visibilities.Substract(input.Visibilities, modelVis, input.Flags);
}
writer.Close();
}
}
public static bool Deconvolve2(double[,] xImage, double[,] residuals, double[,] psf, double lambda, double alpha, int blockSize, int maxIteration = 100, double epsilon = 1e-4)
{
var xImage2 = ToFloatImage(xImage);
var PSFConvolution = CommonDeprecated.PSF.CalcPaddedFourierConvolution(psf, residuals.GetLength(0), residuals.GetLength(1));
var PSFCorrelation = CommonDeprecated.PSF.CalculateFourierCorrelation(psf, residuals.GetLength(0), residuals.GetLength(1));
var PSFSquared = Fourier2D.Multiply(PSFConvolution, PSFCorrelation);
var bMapCalculator = new PaddedConvolver(PSFCorrelation, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var resUpdateCalculator = new PaddedConvolver(PSFConvolution, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var bMapUpdateCalculator = new PaddedConvolver(PSFSquared, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var yBlockSize = blockSize;
var xBlockSize = blockSize;
var bMap = ToFloatImage(residuals);
bMapCalculator.ConvolveInPlace(bMap);
var xDiff = new float[xImage.GetLength(0), xImage.GetLength(1)];
var startL2 = NaiveGreedyCD.CalcDataObjective(residuals);
var theta = 2; //theta, also number of processors.
var degreeOfSep = RandomCD.CountNonZero(psf);
var blockCount = xImage.Length / (yBlockSize * xBlockSize);
var beta = 1.0 + (degreeOfSep - 1.0) * (theta - 1.0) / (Math.Max(1.0, (blockCount - 1))); //arises from E.S.O of theta-nice sampling. Look at the original PCDM Paper for the explanation
//Theta-nice sampling: take theta number of random pixels
var lipschitz = RandomBlockCD2.ApproximateLipschitz(psf, yBlockSize, xBlockSize);
lipschitz *= beta;
lambda = lambda / (yBlockSize * xBlockSize * beta);
var iter = 0;
while (iter < maxIteration)
{
bool containsNonZero = false;
var maxBlocks = GetMaxBlocks(bMap, xImage2, lipschitz, (float)lambda, (float)alpha, yBlockSize, xBlockSize, theta);
foreach (var b in maxBlocks)
{
var yBlock = b.Item1;
var xBlock = b.Item2;
var block = RandomBlockCD2.CopyFrom(bMap, yBlock, xBlock, yBlockSize, xBlockSize);
var update = block / lipschitz;
var xOld = RandomBlockCD2.CopyFrom(xImage2, yBlock, xBlock, yBlockSize, xBlockSize);
var optimized = xOld + update;
//shrink
for (int j = 0; j < optimized.Count; j++)
{
optimized[j] = CommonDeprecated.ShrinkElasticNet(optimized[j], lambda, alpha);
containsNonZero |= (optimized[j] - xOld[j]) != 0.0;
}
var optDiff = optimized - xOld;
RandomBlockCD2.AddInto(xDiff, optDiff, yBlock, xBlock, yBlockSize, xBlockSize);
RandomBlockCD2.AddInto(xImage2, optDiff, yBlock, xBlock, yBlockSize, xBlockSize);
}
if (containsNonZero)
{
//FitsIO.Write(xImage2, "xImageBlock.fits");
//FitsIO.Write(xDiff, "xDiff.fits");
//update b-map
bMapUpdateCalculator.ConvolveInPlace(xDiff);
//FitsIO.Write(xDiff, "bMapUpdate.fits");
for (int i = 0; i < xDiff.GetLength(0); i++)
{
for (int j = 0; j < xDiff.GetLength(1); j++)
{
bMap[i, j] -= xDiff[i, j];
xDiff[i, j] = 0;
}
}
//FitsIO.Write(bMap, "bMap2.fits");
//calc residuals for debug purposes
/*if (maxBlock.Item3 < epsilon)
* break;*/
//Console.WriteLine(maxBlock.Item3 + "\t yB = " + yB + "\t xB =" + xB);
}
iter++;
}
var elasticNet = 0.0;
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
xDiff[i, j] = xImage2[i, j] - (float)xImage[i, j];
xImage[i, j] = xImage2[i, j];
elasticNet += lambda * 2 * lipschitz * GreedyBlockCD.ElasticNetPenalty(xImage2[i, j], (float)alpha);
}
}
resUpdateCalculator.ConvolveInPlace(xDiff);
//FitsIO.Write(xDiff, "residualsUpdate.fits");
for (int i = 0; i < xDiff.GetLength(0); i++)
{
for (int j = 0; j < xDiff.GetLength(1); j++)
{
residuals[i, j] -= xDiff[i, j];
xDiff[i, j] = 0;
}
}
var l2Penalty = NaiveGreedyCD.CalcDataObjective(residuals);
Console.WriteLine("-------------------------");
Console.WriteLine((l2Penalty + elasticNet));
var io = System.IO.File.AppendText("penalty" + yBlockSize + ".txt");
io.WriteLine("l2: " + l2Penalty + "\telastic: " + elasticNet + "\t " + (l2Penalty + elasticNet));
io.Close();
Console.WriteLine("-------------------------");
return(false);
}
/// <summary>
/// Major cycle implemnentation for the parallel coordinate descent algorithm
/// </summary>
/// <param name="data"></param>
/// <param name="c"></param>
/// <param name="psfCutFactor"></param>
/// <param name="maxMajorCycle"></param>
/// <param name="maxMinorCycle"></param>
/// <param name="lambda"></param>
/// <param name="alpha"></param>
/// <param name="deconvIterations"></param>
/// <param name="deconvEpsilon"></param>
public static void ReconstructPCDM(string obsName, MeasurementData data, GriddingConstants c, int psfCutFactor, int maxMajorCycle, int maxMinorCycle, float lambda, float alpha, int deconvIterations, float deconvEpsilon)
{
var metadata = Partitioner.CreatePartition(c, data.UVW, data.Frequencies);
var psfVis = new Complex[data.UVW.GetLength(0), data.UVW.GetLength(1), data.Frequencies.Length];
for (int i = 0; i < data.Visibilities.GetLength(0); i++)
{
for (int j = 0; j < data.Visibilities.GetLength(1); j++)
{
for (int k = 0; k < data.Visibilities.GetLength(2); k++)
{
if (!data.Flags[i, j, k])
{
psfVis[i, j, k] = new Complex(1.0, 0);
}
else
{
psfVis[i, j, k] = new Complex(0, 0);
}
}
}
}
Console.WriteLine("gridding psf");
var psfGrid = IDG.Grid(c, metadata, psfVis, data.UVW, data.Frequencies);
var psf = FFT.BackwardFloat(psfGrid, c.VisibilitiesCount);
FFT.Shift(psf);
var totalWatch = new Stopwatch();
var currentWatch = new Stopwatch();
var totalSize = new Rectangle(0, 0, c.GridSize, c.GridSize);
var psfCut = PSF.Cut(psf, psfCutFactor);
var maxSidelobe = PSF.CalcMaxSidelobe(psf, psfCutFactor);
var sidelobeHalf = PSF.CalcMaxSidelobe(psf, 2);
var pcdm = new ParallelCoordinateDescent(totalSize, psfCut, Environment.ProcessorCount, 1000);
using (var gCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfCut, totalSize), new Rectangle(0, 0, psfCut.GetLength(0), psfCut.GetLength(1))))
using (var gCalculator2 = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psf, totalSize), new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1))))
using (var residualsConvolver = new PaddedConvolver(totalSize, psf))
{
var currentGCalculator = gCalculator;
var maxLipschitz = PSF.CalcMaxLipschitz(psfCut);
var lambdaLipschitz = (float)(lambda * maxLipschitz);
var lambdaTrue = (float)(lambda * PSF.CalcMaxLipschitz(psf));
var switchedToOtherPsf = false;
var xImage = new float[c.GridSize, c.GridSize];
var residualVis = data.Visibilities;
ParallelCoordinateDescent.PCDMStatistics lastResult = null;
for (int cycle = 0; cycle < maxMajorCycle; cycle++)
{
Console.WriteLine("Beginning Major cycle " + cycle);
var dirtyGrid = IDG.GridW(c, metadata, residualVis, data.UVW, data.Frequencies);
var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, c.VisibilitiesCount);
FFT.Shift(dirtyImage);
FitsIO.Write(dirtyImage, obsName + "_dirty_pcdm_majorCycle" + cycle + ".fits");
currentWatch.Restart();
totalWatch.Start();
var breakMajor = false;
var minLambda = 0.0f;
var dirtyCopy = Copy(dirtyImage);
var xCopy = Copy(xImage);
var currentLambda = 0f;
var currentObjective = 0.0;
var absMax = 0.0f;
for (int minorCycle = 0; minorCycle < maxMinorCycle; minorCycle++)
{
Console.WriteLine("Beginning Minor Cycle " + minorCycle);
var maxDirty = Residuals.GetMax(dirtyImage);
var bMap = currentGCalculator.Convolve(dirtyImage);
var maxB = Residuals.GetMax(bMap);
var correctionFactor = Math.Max(maxB / (maxDirty * maxLipschitz), 1.0f);
var currentSideLobe = maxB * maxSidelobe * correctionFactor;
currentLambda = (float)Math.Max(currentSideLobe / alpha, lambdaLipschitz);
if (minorCycle == 0)
{
minLambda = (float)(maxB * sidelobeHalf * correctionFactor / alpha);
}
if (currentLambda < minLambda)
{
currentLambda = minLambda;
}
currentObjective = Residuals.CalcPenalty(dirtyImage) + ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
absMax = pcdm.GetAbsMax(xImage, bMap, lambdaTrue, alpha);
if (absMax < MAJOR_EPSILON)
{
breakMajor = true;
break;
}
lastResult = pcdm.Deconvolve(xImage, bMap, currentLambda, alpha, 40, deconvEpsilon);
if (currentLambda == lambda | currentLambda == minLambda)
{
break;
}
var residualsUpdate = new float[xImage.GetLength(0), xImage.GetLength(1)];
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
residualsUpdate[i, j] = xImage[i, j] - xCopy[i, j];
}
});
residualsConvolver.ConvolveInPlace(residualsUpdate);
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
dirtyImage[i, j] = dirtyCopy[i, j] - residualsUpdate[i, j];
}
});
}
currentWatch.Stop();
totalWatch.Stop();
if (breakMajor)
{
break;
}
if (currentLambda == lambda & !switchedToOtherPsf)
{
pcdm.ResetAMap(psf);
currentGCalculator = gCalculator2;
lambda = lambdaTrue;
switchedToOtherPsf = true;
}
FitsIO.Write(xImage, obsName + "_model_pcdm_majorCycle" + cycle + ".fits");
FFT.Shift(xImage);
var xGrid = FFT.Forward(xImage);
FFT.Shift(xImage);
var modelVis = IDG.DeGridW(c, metadata, xGrid, data.UVW, data.Frequencies);
residualVis = Visibilities.Substract(data.Visibilities, modelVis, data.Flags);
}
Console.WriteLine("Reconstruction finished in (seconds): " + totalWatch.Elapsed.TotalSeconds);
}
}
public static bool Deconvolve2(double[,] xImage, double[,] residuals, double[,] psf, double lambda, double alpha, int blockSize, int maxIteration = 100, double epsilon = 1e-4)
{
var xImage2 = ToFloatImage(xImage);
var PSFConvolution = CommonDeprecated.PSF.CalcPaddedFourierConvolution(psf, residuals.GetLength(0), residuals.GetLength(1));
var PSFCorrelation = CommonDeprecated.PSF.CalculateFourierCorrelation(psf, residuals.GetLength(0), residuals.GetLength(1));
var PSFSquared = Fourier2D.Multiply(PSFConvolution, PSFCorrelation);
var bMapCalculator = new PaddedConvolver(PSFCorrelation, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var resUpdateCalculator = new PaddedConvolver(PSFConvolution, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var bMapUpdateCalculator = new PaddedConvolver(PSFSquared, new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1)));
var yBlockSize = blockSize;
var xBlockSize = blockSize;
lambda = lambda / (yBlockSize * xBlockSize);
var bMap = ToFloatImage(residuals);
bMapCalculator.ConvolveInPlace(bMap);
FitsIO.Write(bMap, "bmapFirst.fits");
var xDiff = new float[xImage.GetLength(0), xImage.GetLength(1)];
var lipschitz = ApproximateLipschitz(psf, yBlockSize, xBlockSize);
var startL2 = NaiveGreedyCD.CalcDataObjective(residuals);
var iter = 0;
while (iter < maxIteration)
{
var maxBlock = GetMaxBlock(bMap, xImage2, lipschitz, (float)lambda, (float)alpha, yBlockSize, xBlockSize);
var yB = maxBlock.Item1;
var xB = maxBlock.Item2;
//yB = 64 / yBlockSize;
//xB = 64 / xBlockSize;
var block = CopyFrom(bMap, yB, xB, yBlockSize, xBlockSize);
//var optimized = block * blockInversion;
var update = block / lipschitz;
var xOld = CopyFrom(xImage2, yB, xB, yBlockSize, xBlockSize);
var optimized = xOld + update;
//shrink
bool containsNonZero = false;
for (int i = 0; i < optimized.Count; i++)
{
optimized[i] = CommonDeprecated.ShrinkElasticNet(optimized[i], lambda, alpha);
containsNonZero |= (optimized[i] - xOld[i]) != 0.0;
}
var optDiff = optimized - xOld;
if (containsNonZero)
{
AddInto(xDiff, optDiff, yB, xB, yBlockSize, xBlockSize);
AddInto(xImage2, optDiff, yB, xB, yBlockSize, xBlockSize);
//FitsIO.Write(xImage2, "xImageBlock.fits");
//FitsIO.Write(xDiff, "xDiff.fits");
//update b-map
bMapUpdateCalculator.ConvolveInPlace(xDiff);
//FitsIO.Write(xDiff, "bMapUpdate.fits");
for (int i = 0; i < xDiff.GetLength(0); i++)
{
for (int j = 0; j < xDiff.GetLength(1); j++)
{
bMap[i, j] -= xDiff[i, j];
xDiff[i, j] = 0;
}
}
//FitsIO.Write(bMap, "bMap2.fits");
//calc residuals for debug purposes
/*if (maxBlock.Item3 < epsilon)
* break;*/
Console.WriteLine(maxBlock.Item3 + "\t yB = " + yB + "\t xB =" + xB);
}
iter++;
}
var elasticNet = 0.0;
for (int i = 0; i < xImage.GetLength(0); i++)
{
for (int j = 0; j < xImage.GetLength(1); j++)
{
xDiff[i, j] = xImage2[i, j] - (float)xImage[i, j];
xImage[i, j] = xImage2[i, j];
elasticNet += lambda * 2 * lipschitz * ElasticNetPenalty(xImage2[i, j], (float)alpha);
}
}
resUpdateCalculator.ConvolveInPlace(xDiff);
//FitsIO.Write(xDiff, "residualsUpdate.fits");
for (int i = 0; i < xDiff.GetLength(0); i++)
{
for (int j = 0; j < xDiff.GetLength(1); j++)
{
residuals[i, j] -= xDiff[i, j];
xDiff[i, j] = 0;
}
}
var l2Penalty = NaiveGreedyCD.CalcDataObjective(residuals);
Console.WriteLine("-------------------------");
Console.WriteLine((l2Penalty + elasticNet));
var io = System.IO.File.AppendText("penalty" + yBlockSize + ".txt");
io.WriteLine("l2: " + l2Penalty + "\telastic: " + elasticNet + "\t " + (l2Penalty + elasticNet));
io.Close();
Console.WriteLine("-------------------------");
return(false);
}
private static ReconstructionInfo Reconstruct(Data input, float fullLipschitz, float[,] maskedPsf, string folder, float maskFactor, int maxMajor, string dirtyPrefix, string xImagePrefix, StreamWriter writer, double objectiveCutoff, float epsilon, bool maskPsf2)
{
var info = new ReconstructionInfo();
var totalSize = new Rectangle(0, 0, input.c.GridSize, input.c.GridSize);
var bMapCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(maskedPsf, totalSize), new Rectangle(0, 0, maskedPsf.GetLength(0), maskedPsf.GetLength(1)));
var maskedPsf2 = PSF.CalcPSFSquared(maskedPsf);
if (maskPsf2)
{
Mask(maskedPsf2, 1e-5f);
}
writer.WriteLine((CountNonZero(maskedPsf2) - maskedPsf2.Length) / (double)maskedPsf2.Length);
var fastCD = new FastSerialCD(totalSize, totalSize, maskedPsf, maskedPsf2);
FitsIO.Write(maskedPsf, folder + maskFactor + "psf.fits");
var lambda = 0.4f * fastCD.MaxLipschitz;
var lambdaTrue = 0.4f * fullLipschitz;
var alpha = 0.1f;
var xImage = new float[input.c.GridSize, input.c.GridSize];
var residualVis = input.visibilities;
DeconvolutionResult lastResult = null;
for (int cycle = 0; cycle < maxMajor; cycle++)
{
Console.WriteLine("cycle " + cycle);
var dirtyGrid = IDG.GridW(input.c, input.metadata, residualVis, input.uvw, input.frequencies);
var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, input.c.VisibilitiesCount);
FFT.Shift(dirtyImage);
FitsIO.Write(dirtyImage, folder + dirtyPrefix + cycle + ".fits");
//calc data and reg penalty
var dataPenalty = Residuals.CalcPenalty(dirtyImage);
var regPenalty = ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
var regPenaltyCurrent = ElasticNet.CalcPenalty(xImage, lambda, alpha);
info.lastDataPenalty = dataPenalty;
info.lastRegPenalty = regPenalty;
bMapCalculator.ConvolveInPlace(dirtyImage);
//FitsIO.Write(dirtyImage, folder + dirtyPrefix + "bmap_" + cycle + ".fits");
var currentLambda = lambda;
writer.Write(cycle + ";" + currentLambda + ";" + Residuals.GetMax(dirtyImage) + ";" + dataPenalty + ";" + regPenalty + ";" + regPenaltyCurrent + ";");
writer.Flush();
//check wether we can minimize the objective further with the current psf
var objectiveReached = (dataPenalty + regPenalty) < objectiveCutoff;
var minimumReached = (lastResult != null && lastResult.IterationCount < 100 && lastResult.Converged);
if (!objectiveReached & !minimumReached)
{
info.totalDeconv.Start();
lastResult = fastCD.Deconvolve(xImage, dirtyImage, currentLambda, alpha, 50000, epsilon);
info.totalDeconv.Stop();
FitsIO.Write(xImage, folder + xImagePrefix + cycle + ".fits");
writer.Write(lastResult.Converged + ";" + lastResult.IterationCount + ";" + lastResult.ElapsedTime.TotalSeconds + "\n");
writer.Flush();
FFT.Shift(xImage);
var xGrid = FFT.Forward(xImage);
FFT.Shift(xImage);
var modelVis = IDG.DeGridW(input.c, input.metadata, xGrid, input.uvw, input.frequencies);
residualVis = Visibilities.Substract(input.visibilities, modelVis, input.flags);
}
else
{
writer.Write(false + ";0;0");
writer.Flush();
break;
}
}
return(info);
}
private static void ReconstructPCDM(MeasurementData input, GriddingConstants c, float[,] fullPsf, string folder, string file, int minorCycles, float searchPercent, int processorCount)
{
var totalWatch = new Stopwatch();
var currentWatch = new Stopwatch();
var totalSize = new Rectangle(0, 0, c.GridSize, c.GridSize);
var psfCut = PSF.Cut(fullPsf, CUT_FACTOR_PCDM);
var maxSidelobe = PSF.CalcMaxSidelobe(fullPsf, CUT_FACTOR_PCDM);
var sidelobeHalf = PSF.CalcMaxSidelobe(fullPsf, 2);
var random = new Random(123);
var pcdm = new ParallelCoordinateDescent(totalSize, psfCut, 1, 1000, searchPercent);
var metadata = Partitioner.CreatePartition(c, input.UVW, input.Frequencies);
using (var bMapCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfCut, totalSize), new Rectangle(0, 0, psfCut.GetLength(0), psfCut.GetLength(1))))
using (var bMapCalculator2 = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(fullPsf, totalSize), new Rectangle(0, 0, fullPsf.GetLength(0), fullPsf.GetLength(1))))
using (var residualsConvolver = new PaddedConvolver(totalSize, fullPsf))
{
var currentBMapCalculator = bMapCalculator;
var maxLipschitz = PSF.CalcMaxLipschitz(psfCut);
var lambda = (float)(LAMBDA * maxLipschitz);
var lambdaTrue = (float)(LAMBDA * PSF.CalcMaxLipschitz(fullPsf));
var alpha = ALPHA;
var switchedToOtherPsf = false;
var writer = new StreamWriter(folder + "/" + file + ".txt");
var xImage = new float[c.GridSize, c.GridSize];
var residualVis = input.Visibilities;
ParallelCoordinateDescent.PCDMStatistics lastResult = null;
for (int cycle = 0; cycle < 6; cycle++)
{
Console.WriteLine("Beginning Major cycle " + cycle);
var dirtyGrid = IDG.GridW(c, metadata, residualVis, input.UVW, input.Frequencies);
var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, c.VisibilitiesCount);
FFT.Shift(dirtyImage);
FitsIO.Write(dirtyImage, folder + "/dirty" + cycle + ".fits");
currentWatch.Restart();
totalWatch.Start();
var breakMajor = false;
var minLambda = 0.0f;
var dirtyCopy = Copy(dirtyImage);
var xCopy = Copy(xImage);
var currentLambda = 0f;
var currentObjective = 0.0;
var absMax = 0.0f;
for (int minorCycle = 0; minorCycle < minorCycles; minorCycle++)
{
Console.WriteLine("Beginning Minor Cycle " + minorCycle);
var maxDirty = Residuals.GetMax(dirtyImage);
var bMap = currentBMapCalculator.Convolve(dirtyImage);
var maxB = Residuals.GetMax(bMap);
var correctionFactor = Math.Max(maxB / (maxDirty * maxLipschitz), 1.0f);
var currentSideLobe = maxB * maxSidelobe * correctionFactor;
currentLambda = (float)Math.Max(currentSideLobe / alpha, lambda);
if (minorCycle == 0)
{
minLambda = (float)(maxB * sidelobeHalf * correctionFactor / alpha);
}
if (currentLambda < minLambda)
{
currentLambda = minLambda;
}
currentObjective = Residuals.CalcPenalty(dirtyImage) + ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
absMax = pcdm.GetAbsMax(xImage, bMap, lambdaTrue, alpha);
if (absMax < MAJOR_STOP)
{
breakMajor = true;
break;
}
lastResult = pcdm.Deconvolve(xImage, bMap, currentLambda, alpha, 100, 1e-5f);
if (currentLambda == lambda | currentLambda == minLambda)
{
break;
}
var residualsUpdate = new float[xImage.GetLength(0), xImage.GetLength(1)];
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
residualsUpdate[i, j] = xImage[i, j] - xCopy[i, j];
}
});
residualsConvolver.ConvolveInPlace(residualsUpdate);
Parallel.For(0, xCopy.GetLength(0), (i) =>
{
for (int j = 0; j < xCopy.GetLength(1); j++)
{
dirtyImage[i, j] = dirtyCopy[i, j] - residualsUpdate[i, j];
}
});
}
currentWatch.Stop();
totalWatch.Stop();
writer.WriteLine(cycle + ";" + currentLambda + ";" + currentObjective + ";" + absMax + ";" + lastResult.IterationCount + ";" + totalWatch.Elapsed.TotalSeconds + ";" + currentWatch.Elapsed.TotalSeconds);
writer.Flush();
FitsIO.Write(xImage, folder + "/xImage_pcdm_" + cycle + ".fits");
if (breakMajor)
{
break;
}
if (currentLambda == lambda & !switchedToOtherPsf)
{
pcdm.ResetAMap(fullPsf);
currentBMapCalculator = bMapCalculator2;
lambda = lambdaTrue;
switchedToOtherPsf = true;
writer.WriteLine("switched");
writer.Flush();
}
FFT.Shift(xImage);
var xGrid = FFT.Forward(xImage);
FFT.Shift(xImage);
var modelVis = IDG.DeGridW(c, metadata, xGrid, input.UVW, input.Frequencies);
residualVis = Visibilities.Substract(input.Visibilities, modelVis, input.Flags);
}
writer.Close();
}
}
