pyFTS/benchmarks/benchmarks.py

import numpy as np
import pandas as pd
import matplotlib as plt
import matplotlib.colors as pltcolors
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from sklearn.cross_validation import KFold
import Measures
from pyFTS.partitioners import Grid
from pyFTS.common import Membership,FuzzySet,FLR,Transformations

def Teste(par):
	x = np.arange(1,par)
	y = [ yy**yy for yyy in x]
	plt.plot(x,y)


def getIntervalStatistics(original,models):
	ret = "Model		& RMSE		& MAPE		& Sharpness		& Resolution		& Coverage	\\ \n"
	for fts in models:
		forecasts = fts.forecast(original)
		ret = ret + fts.shortname + "		& " 
		ret = ret + str( round(Measures.rmse_interval(original[fts.order-1 :],forecasts),2)) + "		& "
		ret = ret + str( round(Measures.mape_interval(original[fts.order-1 :],forecasts),2)) + "		& "
		ret = ret + str( round(Measures.sharpness(forecasts),2)) + "		& "
		ret = ret + str( round(Measures.resolution(forecasts),2)) + "		& "
		ret = ret + str( round(Measures.coverage(original[fts.order-1 :],forecasts),2)) + "	\\ \n"
	return ret
	
def plotDistribution(dist):
	for k in dist.index:
		alpha = np.array([dist[x][k] for x in dist])*100
		x = [k for x in np.arange(0,len(alpha))]
		y = dist.columns
		plt.scatter(x,y,c=alpha,marker='s',linewidths=0,cmap='Oranges',norm=pltcolors.Normalize(vmin=0,vmax=1),vmin=0,vmax=1,edgecolors=None)

def plotComparedSeries(original,models, colors):
	fig = plt.figure(figsize=[25,10])
	ax = fig.add_subplot(111)
	
	mi = []
	ma = []
	
	ax.plot(original,color='black',label="Original")
	count = 0
	for fts in models:
		forecasted = fts.forecast(original)
		
		if fts.isInterval:
			lower = [kk[0] for kk in forecasted]
			upper = [kk[1] for kk in forecasted]
			mi.append(min(lower))
			ma.append(max(upper))
			for k in np.arange(0,fts.order):
				lower.insert(0,None)
				upper.insert(0,None)
			ax.plot(lower,color=colors[count],label=fts.shortname)
			ax.plot(upper,color=colors[count])
			
		else:
			mi.append(min(forecasted))
			ma.append(max(forecasted))
			forecasted.insert(0,None)
			ax.plot(forecasted,color=colors[count],label=fts.shortname)
			
		handles0, labels0 = ax.get_legend_handles_labels()
		ax.legend(handles0,labels0)
		count = count + 1
	#ax.set_title(fts.name)
	ax.set_ylim([min(mi),max(ma)])
	ax.set_ylabel('F(T)')
	ax.set_xlabel('T')
	ax.set_xlim([0,len(original)])


def plotComparedIntervalsAhead(original,models, colors, distributions, time_from, time_to):
	fig = plt.figure(figsize=[25,10])
	ax = fig.add_subplot(111)
	
	mi = []
	ma = []
	
	count = 0
	for fts in models:
		if fts.isDensity and distributions[count]:
			density = fts.forecastDistributionAhead(original[:time_from],time_to,25)
			for k in density.index:
				alpha = np.array([density[x][k] for x in density])*100
				x = [time_from + fts.order + k for x in np.arange(0,len(alpha))]
				y = density.columns
				ax.scatter(x,y,c=alpha,marker='s',linewidths=0,cmap='Oranges',
					norm=pltcolors.Normalize(vmin=0,vmax=1),vmin=0,vmax=1,edgecolors=None)
		
		if fts.isInterval:
			forecasts = fts.forecastAhead(original[:time_from],time_to)
			lower = [kk[0] for kk in forecasts]
			upper = [kk[1] for kk in forecasts]
			mi.append(min(lower))
			ma.append(max(upper))
			for k in np.arange(0,time_from):
				lower.insert(0,None)
				upper.insert(0,None)
			ax.plot(lower,color=colors[count],label=fts.shortname)
			ax.plot(upper,color=colors[count])
			
		else:
			forecasts = fts.forecast(original)
			mi.append(min(forecasts))
			ma.append(max(forecasts))
			for k in np.arange(0,time_from):
				forecasts.insert(0,None)
			ax.plot(forecasts,color=colors[count],label=fts.shortname)
			
		handles0, labels0 = ax.get_legend_handles_labels()
		ax.legend(handles0,labels0)
		count = count + 1
	ax.plot(original,color='black',label="Original")
	#ax.set_title(fts.name)
	ax.set_ylim([min(mi),max(ma)])
	ax.set_ylabel('F(T)')
	ax.set_xlabel('T')
	ax.set_xlim([0,len(original)])


def plotCompared(original,forecasts,labels,title):
	fig = plt.figure(figsize=[13,6])
	ax = fig.add_subplot(111)
	ax.plot(original,color='k',label="Original")
	for c in range(0,len(forecasted)):
		ax.plot(forecasted[c],label=labels[c])
	handles0, labels0 = ax.get_legend_handles_labels()
	ax.legend(handles0,labels0)
	ax.set_title(title)
	ax.set_ylabel('F(T)')
	ax.set_xlabel('T')
	ax.set_xlim([0,len(original)])
	ax.set_ylim([min(original),max(original)])
	
def SelecaoKFold_MenorRMSE(original,parameters,modelo):
	nfolds = 5
	ret = []
	errors = np.array([[0 for k in parameters] for z in np.arange(0,nfolds)])
	forecasted_best = []
	print("Série Original")
	fig = plt.figure(figsize=[18,10])
	fig.suptitle("Comparação de modelos ")
	ax0 = fig.add_axes([0, 0.5, 0.65, 0.45]) #left, bottom, width, height
	ax0.set_xlim([0,len(original)])
	ax0.set_ylim([min(original),max(original)])
	ax0.set_title('Série Temporal')
	ax0.set_ylabel('F(T)')
	ax0.set_xlabel('T')
	ax0.plot(original,label="Original")
	min_rmse_fold = 100000.0
	best = None
	fc = 0 #Fold count
	kf = KFold(len(original), n_folds=nfolds)
	for train_ix, test_ix in kf:
		train = original[train_ix]
		test = original[test_ix]
		min_rmse = 100000.0
		best_fold = None
		forecasted_best_fold = []
		errors_fold = []
		pc = 0 #Parameter count
		for p in parameters:
			sets = Grid.GridPartitionerTrimf(train,p)
			fts = modelo(str(p)+ " particoes")
			fts.train(train,sets)
			forecasted = [fts.forecast(xx) for xx in test]
			error = Measures.rmse(np.array(forecasted),np.array(test))
			errors_fold.append(error)
			print(fc, p, error)
			errors[fc,pc] = error
			if error < min_rmse:
				min_rmse = error
				best_fold = fts
				forecasted_best_fold = forecasted
			pc = pc + 1
		forecasted_best_fold = [best_fold.forecast(xx) for xx in original]
		ax0.plot(forecasted_best_fold,label=best_fold.name)
		if np.mean(errors_fold) < min_rmse_fold:
			min_rmse_fold = np.mean(errors)
			best = best_fold
			forecasted_best = forecasted_best_fold 
		fc = fc + 1
	handles0, labels0 = ax0.get_legend_handles_labels()
	ax0.legend(handles0, labels0)
	ax1 = Axes3D(fig, rect=[0.7, 0.5, 0.3, 0.45], elev=30, azim=144)
	#ax1 = fig.add_axes([0.6, 0.0, 0.45, 0.45], projection='3d')
	ax1.set_title('Comparação dos Erros Quadráticos Médios')
	ax1.set_zlabel('RMSE')
	ax1.set_xlabel('K-fold')
	ax1.set_ylabel('Partições')
	X,Y = np.meshgrid(np.arange(0,nfolds),parameters)
	surf = ax1.plot_surface(X, Y, errors.T, rstride=1, cstride=1, antialiased=True)
	ret.append(best)
	ret.append(forecasted_best)

    # Modelo diferencial
	print("\nSérie Diferencial")
	errors = np.array([[0 for k in parameters] for z in np.arange(0,nfolds)])
	forecastedd_best = []
	ax2 = fig.add_axes([0, 0, 0.65, 0.45]) #left, bottom, width, height
	ax2.set_xlim([0,len(original)])
	ax2.set_ylim([min(original),max(original)])
	ax2.set_title('Série Temporal')
	ax2.set_ylabel('F(T)')
	ax2.set_xlabel('T')
	ax2.plot(original,label="Original")
	min_rmse = 100000.0
	min_rmse_fold = 100000.0
	bestd = None
	fc = 0
	diff = Transformations.differential(original)
	kf = KFold(len(original), n_folds=nfolds)
	for train_ix, test_ix in kf:
		train = diff[train_ix]
		test = diff[test_ix]
		min_rmse = 100000.0
		best_fold = None
		forecasted_best_fold = []
		errors_fold = []
		pc = 0
		for p in parameters:
			sets = Grid.GridPartitionerTrimf(train,p)
			fts = modelo(str(p)+ " particoes")
			fts.train(train,sets)
			forecasted = [fts.forecastDiff(test,xx) for xx in np.arange(len(test))]
			error = Measures.rmse(np.array(forecasted),np.array(test))
			print(fc, p,error)
			errors[fc,pc] = error
			errors_fold.append(error)
			if error < min_rmse:
				min_rmse = error
				best_fold = fts
			pc = pc + 1
		forecasted_best_fold = [best_fold.forecastDiff(original, xx) for xx in np.arange(len(original))]
		ax2.plot(forecasted_best_fold,label=best_fold.name)
		if np.mean(errors_fold) < min_rmse_fold:
			min_rmse_fold = np.mean(errors)
			best = best_fold
			forecasted_best = forecasted_best_fold
		fc = fc + 1
	handles0, labels0 = ax2.get_legend_handles_labels()
	ax2.legend(handles0, labels0)
	ax3 = Axes3D(fig, rect=[0.7, 0, 0.3, 0.45], elev=30, azim=144)
	#ax1 = fig.add_axes([0.6, 0.0, 0.45, 0.45], projection='3d')
	ax3.set_title('Comparação dos Erros Quadráticos Médios')
	ax3.set_zlabel('RMSE')
	ax3.set_xlabel('K-fold')
	ax3.set_ylabel('Partições')
	X,Y = np.meshgrid(np.arange(0,nfolds),parameters)
	surf = ax3.plot_surface(X, Y, errors.T, rstride=1, cstride=1, antialiased=True)
	ret.append(best)
	ret.append(forecasted_best)
	return ret
	
def SelecaoSimples_MenorRMSE(original,parameters,modelo):
	ret = []
	errors = []
	forecasted_best = []
	print("Série Original")
	fig = plt.figure(figsize=[20,12])
	fig.suptitle("Comparação de modelos ")
	ax0 = fig.add_axes([0, 0.5, 0.65, 0.45]) #left, bottom, width, height
	ax0.set_xlim([0,len(original)])
	ax0.set_ylim([min(original),max(original)])
	ax0.set_title('Série Temporal')
	ax0.set_ylabel('F(T)')
	ax0.set_xlabel('T')
	ax0.plot(original,label="Original")
	min_rmse = 100000.0
	best = None
	for p in parameters:
		sets = Grid.GridPartitionerTrimf(original,p)
		fts = modelo(str(p)+ " particoes")
		fts.train(original,sets)
		#print(original)
		forecasted = fts.forecast(original)
		forecasted.insert(0,original[0])
		#print(forecasted)
		ax0.plot(forecasted,label=fts.name)
		error = Measures.rmse(np.array(forecasted),np.array(original))
		print(p,error)
		errors.append(error)
		if error < min_rmse:
			min_rmse = error
			best = fts
			forecasted_best = forecasted
	handles0, labels0 = ax0.get_legend_handles_labels()
	ax0.legend(handles0, labels0)
	ax1 = fig.add_axes([0.7, 0.5, 0.3, 0.45]) #left, bottom, width, height
	ax1.set_title('Comparação dos Erros Quadráticos Médios')
	ax1.set_ylabel('RMSE')
	ax1.set_xlabel('Quantidade de Partições')
	ax1.set_xlim([min(parameters),max(parameters)])
	ax1.plot(parameters,errors)
	ret.append(best)
	ret.append(forecasted_best)
    # Modelo diferencial
	print("\nSérie Diferencial")
	difffts = Transformations.differential(original)
	errors = []
	forecastedd_best = []
	ax2 = fig.add_axes([0, 0, 0.65, 0.45]) #left, bottom, width, height
	ax2.set_xlim([0,len(difffts)])
	ax2.set_ylim([min(difffts),max(difffts)])
	ax2.set_title('Série Temporal')
	ax2.set_ylabel('F(T)')
	ax2.set_xlabel('T')
	ax2.plot(difffts,label="Original")
	min_rmse = 100000.0
	bestd = None
	for p in parameters:
		sets = Grid.GridPartitionerTrimf(difffts,p)
		fts = modelo(str(p)+ " particoes")
		fts.train(difffts,sets)
		forecasted = fts.forecast(difffts)
		forecasted.insert(0,difffts[0])
		ax2.plot(forecasted,label=fts.name)
		error = Measures.rmse(np.array(forecasted),np.array(difffts))
		print(p,error)
		errors.append(error)
		if error < min_rmse:
			min_rmse = error
			bestd = fts
			forecastedd_best = forecasted
	handles0, labels0 = ax2.get_legend_handles_labels()
	ax2.legend(handles0, labels0)
	ax3 = fig.add_axes([0.7, 0, 0.3, 0.45]) #left, bottom, width, height
	ax3.set_title('Comparação dos Erros Quadráticos Médios')
	ax3.set_ylabel('RMSE')
	ax3.set_xlabel('Quantidade de Partições')
	ax3.set_xlim([min(parameters),max(parameters)])
	ax3.plot(parameters,errors)
	ret.append(bestd)
	ret.append(forecastedd_best)
	return ret
	
def compareModelsPlot(original,models_fo,models_ho):
    fig = plt.figure(figsize=[13,6])
    fig.suptitle("Comparação de modelos ")
    ax0 = fig.add_axes([0, 0, 1, 1]) #left, bottom, width, height
    rows = []
    for model in models_fo:
        fts = model["model"]
        ax0.plot(model["forecasted"], label=model["name"])
    for model in models_ho:
        fts = model["model"]
        ax0.plot(model["forecasted"], label=model["name"])
    handles0, labels0 = ax0.get_legend_handles_labels()
    ax0.legend(handles0, labels0)
    
def compareModelsTable(original,models_fo,models_ho):
    fig = plt.figure(figsize=[12,4])
    fig.suptitle("Comparação de modelos ")
    columns = ['Modelo','Ordem','Partições','RMSE','MAPE (%)']
    rows = []
    for model in models_fo:
        fts = model["model"]
        error_r = Measures.rmse(model["forecasted"],original)
        error_m = round(Measures.mape(model["forecasted"],original)*100,2)
        rows.append([model["name"],fts.order,len(fts.sets),error_r,error_m])
    for model in models_ho:
        fts = model["model"]
        error_r = Measures.rmse(model["forecasted"][fts.order:],original[fts.order:])
        error_m = round(Measures.mape(model["forecasted"][fts.order:],original[fts.order:])*100,2)
        rows.append([model["name"],fts.order,len(fts.sets),error_r,error_m])
    ax1 = fig.add_axes([0, 0, 1, 1]) #left, bottom, width, height
    ax1.set_xticks([])
    ax1.set_yticks([])
    ax1.table(cellText=rows,
                      colLabels=columns,
                      cellLoc='center',
                      bbox=[0,0,1,1])
    sup = "\\begin{tabular}{"
    header = ""
    body = ""
    footer = ""

    for c in columns:
        sup = sup + "|c"
        if len(header) > 0:
            header = header + " & "
        header = header + "\\textbf{" + c + "} "
    sup = sup + "|} \\hline\n"
    header = header + "\\\\ \\hline \n"    
    
    for r in rows:
        lin = ""
        for c in r:
            if len(lin) > 0:
                lin = lin + " & "
            lin = lin + str(c)
        
        body = body + lin + "\\\\ \\hline \n" 
        
    return sup + header + body + "\\end{tabular}"

from pyFTS import hwang

def HOSelecaoSimples_MenorRMSE(original,parameters,orders):
	ret = []
	errors = np.array([[0 for k in range(len(parameters))] for kk in range(len(orders))])
	forecasted_best = []
	print("Série Original")
	fig = plt.figure(figsize=[20,12])
	fig.suptitle("Comparação de modelos ")
	ax0 = fig.add_axes([0, 0.5, 0.6, 0.45]) #left, bottom, width, height
	ax0.set_xlim([0,len(original)])
	ax0.set_ylim([min(original),max(original)])
	ax0.set_title('Série Temporal')
	ax0.set_ylabel('F(T)')
	ax0.set_xlabel('T')
	ax0.plot(original,label="Original")
	min_rmse = 100000.0
	best = None
	pc = 0
	for p in parameters:
		oc = 0
		for o in orders:
			sets = Grid.GridPartitionerTrimf(original,p)
			fts = hwang.HighOrderFTS(o,"k = " + str(p)+ " w = " + str(o))
			fts.train(original,sets)
			forecasted = [fts.forecast(original, xx) for xx in range(o,len(original))]
			error = Measures.rmse(np.array(forecasted),np.array(original[o:]))
			for kk in range(o):
				forecasted.insert(0,None)
			ax0.plot(forecasted,label=fts.name)
			print(o,p,error)
			errors[oc,pc] = error
			if error < min_rmse:
				min_rmse = error
				best = fts
				forecasted_best = forecasted
			oc = oc + 1
		pc = pc + 1
		handles0, labels0 = ax0.get_legend_handles_labels()
	ax0.legend(handles0, labels0)
	ax1 = Axes3D(fig, rect=[0.6, 0.5, 0.45, 0.45], elev=30, azim=144)
	#ax1 = fig.add_axes([0.6, 0.5, 0.45, 0.45], projection='3d')
	ax1.set_title('Comparação dos Erros Quadráticos Médios por tamanho da janela')
	ax1.set_ylabel('RMSE')
	ax1.set_xlabel('Quantidade de Partições')
	ax1.set_zlabel('W')
	X,Y = np.meshgrid(parameters,orders)
	surf = ax1.plot_surface(X, Y, errors, rstride=1, cstride=1, antialiased=True)
	ret.append(best)
	ret.append(forecasted_best)

    # Modelo diferencial
	print("\nSérie Diferencial")
	errors = np.array([[0 for k in range(len(parameters))] for kk in range(len(orders))])
	forecastedd_best = []
	ax2 = fig.add_axes([0, 0, 0.6, 0.45]) #left, bottom, width, height
	ax2.set_xlim([0,len(original)])
	ax2.set_ylim([min(original),max(original)])
	ax2.set_title('Série Temporal')
	ax2.set_ylabel('F(T)')
	ax2.set_xlabel('T')
	ax2.plot(original,label="Original")
	min_rmse = 100000.0
	bestd = None
	pc = 0
	for p in parameters:
		oc = 0
		for o in orders:
			sets = Grid.GridPartitionerTrimf(Transformations.differential(original),p)
			fts = hwang.HighOrderFTS(o,"k = " + str(p)+ " w = " + str(o))
			fts.train(original,sets)
			forecasted = [fts.forecastDiff(original, xx) for xx in range(o,len(original))]
			error = Measures.rmse(np.array(forecasted),np.array(original[o:]))
			for kk in range(o):
				forecasted.insert(0,None)
			ax2.plot(forecasted,label=fts.name)
			print(o,p,error)
			errors[oc,pc] = error
			if error < min_rmse:
				min_rmse = error
				bestd = fts
				forecastedd_best = forecasted
			oc = oc + 1
		pc = pc + 1
	handles0, labels0 = ax2.get_legend_handles_labels()
	ax2.legend(handles0, labels0)
	ax3 = Axes3D(fig, rect=[0.6, 0.0, 0.45, 0.45], elev=30, azim=144)
	#ax3 = fig.add_axes([0.6, 0.0, 0.45, 0.45], projection='3d')
	ax3.set_title('Comparação dos Erros Quadráticos Médios')
	ax3.set_ylabel('RMSE')
	ax3.set_xlabel('Quantidade de Partições')
	ax3.set_zlabel('W')
	X,Y = np.meshgrid(parameters,orders)
	surf = ax3.plot_surface(X, Y, errors, rstride=1, cstride=1, antialiased=True)
	ret.append(bestd)
	ret.append(forecastedd_best)
	return ret