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#include <cmath>
#include <iostream>
#include <memory>
#include <string>
#include <QApplication>
#include <QtQml>
#include <QQmlApplicationEngine>
#include <QSurfaceFormat>
#include "main.h"
#include "mp.h"
#include "continuouscolorscale.h"
#include "scatterplot.h"
#include "historygraph.h"
#include "interactionhandler.h"
#include "selectionhandler.h"
#include "effectivenessobserver.h"
#include "distortionobserver.h"
#include "npdistortion.h"
static QObject *mainProvider(QQmlEngine *engine, QJSEngine *scriptEngine)
{
Q_UNUSED(engine)
Q_UNUSED(scriptEngine)
return Main::instance();
}
static inline double hBeta(const arma::rowvec &Di, double beta, arma::rowvec &Pi) {
Pi = arma::exp(-Di * beta);
double sumPi = arma::accu(Pi);
double h = log(sumPi) + beta * arma::accu(Di % Pi) / sumPi;
Pi /= sumPi;
return h;
}
static void calcP(const arma::mat &X, arma::mat &P, double perplexity = 30, double tol = 1e-5) {
arma::colvec sumX = arma::sum(X % X, 1);
arma::mat D = -2 * (X * X.t());
D.each_col() += sumX;
arma::inplace_trans(D);
D.each_col() += sumX;
D.diag() *= 0;
double logU = log(perplexity);
arma::rowvec beta(X.n_rows, arma::fill::ones);
arma::rowvec Pi(X.n_rows);
for (arma::uword i = 0; i < X.n_rows; i++) {
double betaMin = -arma::datum::inf;
double betaMax = arma::datum::inf;
arma::rowvec Di = D.row(i);
double h = hBeta(Di, beta[i], Pi);
double hDiff = h - logU;
for (int tries = 0; fabs(hDiff) > tol && tries < 50; tries++) {
if (hDiff > 0) {
betaMin = beta[i];
if (betaMax == arma::datum::inf || betaMax == -arma::datum::inf) {
beta[i] *= 2;
} else {
beta[i] = (beta[i] + betaMax) / 2.;
}
} else {
betaMax = beta[i];
if (betaMin == arma::datum::inf || betaMin == -arma::datum::inf) {
beta[i] /= 2;
} else {
beta[i] = (beta[i] + betaMin) / 2.;
}
}
h = hBeta(Di, beta[i], Pi);
hDiff = h - logU;
}
P.row(i) = Pi;
}
}
arma::uvec relevanceSampling(const arma::mat &X, int subsampleSize)
{
arma::mat P(X.n_rows, X.n_rows);
calcP(X, P);
P = (P + P.t());
P /= arma::accu(P);
P.transform([](double p) { return std::max(p, 1e-12); });
arma::uvec indices = arma::sort_index(arma::sum(P));
return indices(arma::span(0, subsampleSize - 1));
}
int main(int argc, char **argv)
{
QApplication app(argc, argv);
app.setApplicationName("pm");
app.setApplicationVersion("1.0");
QCommandLineParser parser;
parser.setApplicationDescription("Interactive multidimensional projections.");
parser.addHelpOption();
parser.addVersionOption();
parser.addPositionalArgument("dataset", "Dataset filename (.tbl)");
QCommandLineOption indicesFileOutputOption(QStringList() << "i" << "indices",
"Filename to store the subsample indices. Omitting this option disables saving indices.",
"filename");
parser.addOption(indicesFileOutputOption);
QCommandLineOption subsampleFileOutputOption(QStringList() << "s" << "subsample",
"Filename to store subsample mapping. Omitting this option disables saving subsamples.",
"filename");
parser.addOption(subsampleFileOutputOption);
parser.process(app);
QStringList args = parser.positionalArguments();
if (args.size() != 1) {
parser.showHelp(1);
}
Main *m = Main::instance();
m->loadDataset(args[0].toStdString());
arma::mat X = m->X();
arma::vec labels = m->labels();
arma::uword n = X.n_rows;
int subsampleSize = (int) (3 * sqrt(n));
arma::uvec sampleIndices;
arma::mat Ys;
if (parser.isSet(indicesFileOutputOption)) {
const QString &indicesFilename = parser.value(indicesFileOutputOption);
m->setIndicesSavePath(indicesFilename);
QFile indicesFile(indicesFilename);
if (indicesFile.exists()) {
sampleIndices.load(indicesFilename.toStdString(), arma::raw_ascii);
subsampleSize = sampleIndices.n_elem;
} else {
// sampleIndices = relevanceSampling(X, subsampleSize);
sampleIndices = arma::randi<arma::uvec>(subsampleSize, arma::distr_param(0, n-1));
}
}
if (parser.isSet(subsampleFileOutputOption)) {
const QString &subsampleFilename = parser.value(subsampleFileOutputOption);
m->setSubsampleSavePath(subsampleFilename);
QFile subsampleFile(subsampleFilename);
if (subsampleFile.exists()) {
Ys.load(subsampleFilename.toStdString(), arma::raw_ascii);
} else {
Ys.set_size(subsampleSize, 2);
mp::forceScheme(mp::dist(X.rows(sampleIndices)), Ys);
}
}
m->setSubsampleIndices(sampleIndices);
m->setSubsample(Ys);
qmlRegisterType<Scatterplot>("PM", 1, 0, "Scatterplot");
qmlRegisterType<HistoryGraph>("PM", 1, 0, "HistoryGraph");
qmlRegisterSingletonType<Main>("PM", 1, 0, "Main", mainProvider);
// Set up multisampling
QSurfaceFormat fmt;
fmt.setSamples(16);
QSurfaceFormat::setDefaultFormat(fmt);
QQmlApplicationEngine engine(QUrl("qrc:///main_view.qml"));
ColorScale colorScale{
QColor("#1f77b4"),
QColor("#ff7f0e"),
QColor("#2ca02c"),
QColor("#d62728"),
QColor("#9467bd"),
QColor("#8c564b"),
QColor("#e377c2"),
QColor("#17becf"),
QColor("#7f7f7f"),
};
colorScale.setExtents(labels.min(), labels.max());
//ContinuousColorScale colorScale = ContinuousColorScale::builtin(ContinuousColorScale::RED_GRAY_BLUE);
//colorScale.setExtents(-1, 1);
Scatterplot *subsamplePlot = engine.rootObjects()[0]->findChild<Scatterplot *>("subsamplePlot");
subsamplePlot->setAcceptedMouseButtons(Qt::LeftButton | Qt::MiddleButton | Qt::RightButton);
// subsamplePlot->setColorData(arma::zeros<arma::vec>(subsampleSize));
subsamplePlot->setColorScale(&colorScale);
Scatterplot *plot = engine.rootObjects()[0]->findChild<Scatterplot *>("plot");
// Keep track of the current subsample (in order to save them later, if requested)
QObject::connect(subsamplePlot, SIGNAL(xyChanged(const arma::mat &)),
m, SLOT(setSubsample(const arma::mat &)));
QObject::connect(subsamplePlot, SIGNAL(xyInteractivelyChanged(const arma::mat &)),
m, SLOT(setSubsample(const arma::mat &)));
// Update LAMP projection as the subsample is modified
InteractionHandler interactionHandler(X, sampleIndices);
interactionHandler.setTechnique(InteractionHandler::TECHNIQUE_LAMP);
QObject::connect(subsamplePlot, SIGNAL(xyChanged(const arma::mat &)),
&interactionHandler, SLOT(setSubsample(const arma::mat &)));
QObject::connect(subsamplePlot, SIGNAL(xyInteractivelyChanged(const arma::mat &)),
&interactionHandler, SLOT(setSubsample(const arma::mat &)));
QObject::connect(&interactionHandler, SIGNAL(subsampleChanged(const arma::mat &)),
plot, SLOT(setXY(const arma::mat &)));
// Linking between selections in subsample plot and full dataset plot
SelectionHandler selectionHandler(sampleIndices);
QObject::connect(subsamplePlot, SIGNAL(selectionChanged(const QSet<int> &)),
&selectionHandler, SLOT(setSelection(const QSet<int> &)));
QObject::connect(&selectionHandler, SIGNAL(selectionChanged(const QSet<int> &)),
plot, SLOT(setSelection(const QSet<int> &)));
// Connections between history graph and subsample plot
HistoryGraph *history = engine.rootObjects()[0]->findChild<HistoryGraph *>("history");
QObject::connect(subsamplePlot, SIGNAL(xyInteractivelyChanged(const arma::mat &)),
history, SLOT(addHistoryItem(const arma::mat &)));
QObject::connect(history, SIGNAL(currentItemChanged(const arma::mat &)),
subsamplePlot, SLOT(setXY(const arma::mat &)));
// Map distortion as the glyph color
//DistortionObserver distortionObs(X, sampleIndices);
//std::unique_ptr<DistortionMeasure> distortionMeasure(new NPDistortion());
//distortionObs.setMeasure(distortionMeasure.get());
//QObject::connect(&interactionHandler, SIGNAL(subsampleChanged(const arma::mat &)),
// &distortionObs, SLOT(setMap(const arma::mat &)));
//QObject::connect(&distortionObs, SIGNAL(mapChanged(const arma::vec &)),
// plot, SLOT(setColorData(const arma::vec &)));
//EffectiveInteractionEnforcer enforcer(sampleIndices);
//QObject::connect(subsamplePlot, SIGNAL(selectionChanged(const QSet<int> &)),
// &enforcer, SLOT(setSelection(const QSet<int> &)));
//QObject::connect(plot, SIGNAL(colorDataChanged(const arma::vec &)),
// &enforcer, SLOT(setMeasureDifference(const arma::vec &)));
//QObject::connect(&enforcer, SIGNAL(effectivenessChanged(const arma::vec &)),
// subsamplePlot, SLOT(setColorData(const arma::vec &)));
history->addHistoryItem(Ys);
subsamplePlot->setXY(Ys);
subsamplePlot->setColorData(labels(sampleIndices));
plot->setColorScale(&colorScale);
plot->setColorData(labels);
return app.exec();
}
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