From 915e504a5b7f4f55e19a4da9d64c73a94acc53be Mon Sep 17 00:00:00 2001 From: Brian Delhaisse Date: Wed, 13 Nov 2019 20:10:42 +0100 Subject: [PATCH] add 2D letters data + GMR example with 2D letter --- data/2Dletters/A.mat | Bin 0 -> 93754 bytes data/2Dletters/B.mat | Bin 0 -> 111479 bytes data/2Dletters/C.mat | Bin 0 -> 128002 bytes data/2Dletters/D.mat | Bin 0 -> 129855 bytes data/2Dletters/E.mat | Bin 0 -> 140394 bytes data/2Dletters/F.mat | Bin 0 -> 131098 bytes data/2Dletters/G.mat | Bin 0 -> 121105 bytes data/2Dletters/H.mat | Bin 0 -> 121198 bytes data/2Dletters/I.mat | Bin 0 -> 118537 bytes data/2Dletters/J.mat | Bin 0 -> 130061 bytes data/2Dletters/K.mat | Bin 0 -> 103278 bytes data/2Dletters/L.mat | Bin 0 -> 138663 bytes data/2Dletters/M.mat | Bin 0 -> 112069 bytes data/2Dletters/N.mat | Bin 0 -> 120906 bytes data/2Dletters/O.mat | Bin 0 -> 149561 bytes data/2Dletters/P.mat | Bin 0 -> 120435 bytes data/2Dletters/Q.mat | Bin 0 -> 130946 bytes data/2Dletters/R.mat | Bin 0 -> 102731 bytes data/2Dletters/README.md | 2 ++ data/2Dletters/S.mat | Bin 0 -> 139538 bytes data/2Dletters/T.mat | Bin 0 -> 119655 bytes data/2Dletters/U.mat | Bin 0 -> 101808 bytes data/2Dletters/V.mat | Bin 0 -> 129888 bytes data/2Dletters/W.mat | Bin 0 -> 121925 bytes data/2Dletters/X.mat | Bin 0 -> 121866 bytes data/2Dletters/Y.mat | Bin 0 -> 121746 bytes data/2Dletters/Z.mat | Bin 0 -> 101970 bytes examples/models/gmr.py | 75 +++++++++++++++++++++++++++++++++++++++ 28 files changed, 77 insertions(+) create mode 100644 data/2Dletters/A.mat create mode 100644 data/2Dletters/B.mat create mode 100644 data/2Dletters/C.mat create mode 100644 data/2Dletters/D.mat create mode 100644 data/2Dletters/E.mat create mode 100644 data/2Dletters/F.mat create mode 100644 data/2Dletters/G.mat create mode 100644 data/2Dletters/H.mat create mode 100644 data/2Dletters/I.mat create mode 100644 data/2Dletters/J.mat create mode 100644 data/2Dletters/K.mat create mode 100644 data/2Dletters/L.mat create mode 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a/data/2Dletters/README.md b/data/2Dletters/README.md new file mode 100644 index 0000000..94efc57 --- /dev/null +++ b/data/2Dletters/README.md @@ -0,0 +1,2 @@ + +This document contains the data (trajectories) to draw 2D letters. 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In this example, we delve a bit deeper into GMR using 2D letters as training +data. +""" + +import numpy as np +from scipy.io import loadmat +import matplotlib.pyplot as plt + +from pyrobolearn.models.gmm import Gaussian, GMM, plot_gmm, plot_gmr + + +# load the training data +G = loadmat('../../data/2Dletters/G.mat') # dict +demos = G['demos'] # shape (1,N) +n_demos = demos.shape[1] +dim = demos[0, 0][0, 0][0].shape[0] +length = demos[0, 0][0, 0][0].shape[1] + +# plot the training data (x,y) +X = [] +xlim, ylim = [-10, 10], [-10, 10] +plt.xlim(xlim) +plt.ylim(ylim) +for i in range(0, n_demos, 2): + demo = demos[0, i][0, 0][0] # shape (2, 200) + plt.plot(demo[0], demo[1]) + X.append(demo.T) +plt.show() + +# reshape training data (add time in addition to (x,y), thus we now have (t,x,y)) +time_linspace = np.linspace(0, 2., length) +times = np.asarray([time_linspace for _ in range(len(X))]).reshape(-1, 1) +X = np.vstack(X) # shape (N*200, 2) +X = np.hstack((times, X)) # shape (N*200, 3) +print(X.shape) + +# create GMM +dim, num_components = X.shape[1], 7 +gmm = GMM(gaussians=[Gaussian(mean=np.concatenate((np.random.uniform(0, 2., size=1), + np.random.uniform(-8., 8., size=dim-1))), + covariance=0.1*np.identity(dim)) for _ in range(num_components)]) + +# init GMM +init_method = 'k-means' # 'random', 'k-means', 'uniform', 'sklearn', 'curvature' +gmm.init(X, method=init_method) +fig, ax = plt.subplots(1, 1) +plot_gmm(gmm, dims=[1, 2], X=X, ax=ax, title='GMM after ' + init_method.capitalize(), xlim=xlim, ylim=ylim) +plt.show() + +# fit a GMM on it +result = gmm.fit(X, init=None, num_iters=200) + +# plot EM optimization +plt.plot(result['losses']) +plt.title('EM per iteration') +plt.show() + +# plot trained GMM +fig, ax = plt.subplots(1, 1) +plot_gmm(gmm, dims=[1, 2], X=X, label=True, ax=ax, title='Our Trained GMM', option=1, xlim=xlim, ylim=ylim) +plt.show() + +# GMR: condition on the input variable and plot +gaussians = [] +for t in time_linspace: + g = gmm.condition(np.array([t]), idx_out=[1, 2], idx_in=[0]).approximate_by_single_gaussian() + gaussians.append(g) + +# plot figures for GMR +plot_gmr(time_linspace, gaussians=gaussians, xlim=xlim, ylim=ylim) +plt.show()

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