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machine learning procedures. It aims to quantify the generalizability of a trained classifier to unseen data. Here we also see how to get a baseline reference in terms of accuracy. \n", "\n", @@ -48,6 +48,16 @@ "mpl.rc('font', **font)\n" ] }, + { + "cell_type": "markdown", + "id": "687e9515-5422-47f0-92d5-358b7d9aeed4", + "metadata": {}, + "source": [ + "## Generate samples to classify\n", + "\n", + "We first generate synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features." + ] + }, { "cell_type": "code", "execution_count": null, @@ -109,7 +119,7 @@ "m = 10 # input dimensionality\n", "s0 = 100 # number of samples for class 0\n", "s1 = 100 # number of samples for class 1\n", - "scaling = 0.7 # class contrast\n", + "scaling = 0.0 # class contrast\n", "\n", "# generate inputs\n", "X, y = gen_inputs(m, s0, s1, scaling)\n", @@ -146,7 +156,6 @@ "plt.title('input {}'.format(i), loc='left')\n", "plt.xlabel('X values')\n", "plt.tight_layout()\n", - "plt.savefig('ex_contrast_X')\n", "plt.show()" ] }, @@ -165,6 +174,7 @@ " mat_rgb[i,:,0] = np.histogram(X[:s0,i], bins=vbins)[0]\n", " mat_rgb[i,:,2] = np.histogram(X[s0:,i], bins=vbins)[0]\n", "mat_rgb /= mat_rgb.max() / 2.0\n", + "mat_rgb = np.clip(mat_rgb, 0.0, 1.0)\n", "\n", "plt.figure(figsize=[6,7])\n", "plt.imshow(mat_rgb)\n", @@ -213,7 +223,7 @@ }, "outputs": [], "source": [ - "acc = pd.DataFrame(columns=['score'])\n", + "acc = pd.DataFrame()\n", "\n", "# repetitions\n", "n_rep = 20\n", @@ -228,7 +238,7 @@ " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", "\n", "# plot\n", - "sb.violinplot(data=acc, y='score', scale='width', palette=['brown'])\n", + "sb.violinplot(data=acc, y='score', density_norm='width', palette=['brown'])\n", "plt.text(0, 1.05, str(acc['score'].mean())[:4], horizontalalignment='center')\n", "plt.yticks([0,1])\n", "plt.axis(ymax=1.02)\n", @@ -249,7 +259,7 @@ "# theoretical chance level\n", "chance_level = 1.0 / 2\n", "\n", - "sb.violinplot(data=acc, y='score', scale='width', palette=['brown'])\n", + "sb.violinplot(data=acc, y='score', density_norm='width', palette=['brown'])\n", "plt.plot([-1,1], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.axis(ymax=1.02)\n", @@ -275,7 +285,7 @@ }, "outputs": [], "source": [ - "acc = pd.DataFrame(columns=['score'])\n", + "acc = pd.DataFrame()\n", "\n", "# change contrast\n", "scaling = 0.0 # try 0.2, 0.1, 0.0\n", @@ -293,7 +303,7 @@ " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", "\n", "# plot\n", - "sb.violinplot(data=acc, y='score', scale='width', palette=['brown']) # cut=0\n", + "sb.violinplot(data=acc, y='score', density_norm='width', palette=['brown'])\n", "plt.text(0, 1.05, str(acc['score'].mean())[:4], horizontalalignment='center')\n", "plt.plot([-1,1], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", @@ -310,7 +320,7 @@ "source": [ "Even for `scaling=0.0`, the classification accuracy is above the expected chance level $0.5$...\n", "\n", - "Let's try with similar (i.e. with same scaling), but new data." + "Let's try with similar (i.e. with same scaling), but new generated data." ] }, { @@ -336,7 +346,7 @@ }, "outputs": [], "source": [ - "acc = pd.DataFrame(columns=['type','score'])\n", + "acc = pd.DataFrame()\n", "\n", "# input dimensionality (number of features)\n", "m = 10 # try 5, 20\n", @@ -363,7 +373,7 @@ " 'score': [clf.score(X_new, y_new)]}\n", " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", " \n", - "sb.violinplot(data=acc, x='type', y='score', scale='width', palette=['brown','orange'])\n", + "sb.violinplot(data=acc, x='type', y='score', hue='type', density_norm='width', palette=['brown','orange'])\n", "plt.text(0, 1.05, str(acc[acc['type']=='training']['score'].mean())[:4], horizontalalignment='center')\n", "plt.text(1, 1.05, str(acc[acc['type']=='new']['score'].mean())[:4], horizontalalignment='center')\n", "plt.plot([-1,2], [chance_level]*2, '--k')\n", @@ -454,7 +464,7 @@ "# wrapper to test cross-validation scheme (cvs) \n", "def test_cvs(cvs, cvs_lbl):\n", " \n", - " acc = pd.DataFrame(columns=['type', 'cv', 'score'])\n", + " acc = pd.DataFrame()\n", " \n", " for train_ind, test_ind in cvs.split(X, y):\n", " \n", @@ -487,16 +497,16 @@ "m = 10 # input dimensionality\n", "s0 = 100 # number of samples for class 0\n", "s1 = 100 # number of samples for class 1\n", - "scaling = 0.7 # class contrast\n", + "scaling = 0.5 # class contrast\n", "X, y = gen_inputs(m, s0, s1, scaling)\n", "\n", "# evaluate classification accuracy on train and test sets\n", "acc = test_cvs(cvs0, 'no strat')\n", "\n", "# theoretical chance level\n", - "chance_level = 0.5\n", + "chance_level = 0.7\n", "\n", - "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, scale='width', palette=['brown','orange'])\n", + "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, density_norm='width', palette=['brown','orange'])\n", "plt.plot([-1,2], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", @@ -561,8 +571,9 @@ "# evaluate classification accuracy on train and test sets\n", "acc = pd.concat((acc, test_cvs(cvs1, 'strat')))\n", "\n", - "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, scale='width', palette=['brown','orange'])\n", + "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, density_norm='width', palette=['brown','orange'])\n", "plt.plot([-1,2], [chance_level]*2, '--k')\n", + "plt.legend(loc='lower center')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", "plt.axis(ymax=1.02)\n", @@ -591,7 +602,7 @@ "# wrapper to test cross-validation scheme (cvs) \n", "def test_cvs(cvs, cvs_lbl):\n", " \n", - " acc = pd.DataFrame(columns=['type', 'cv', 'score'])\n", + " acc = pd.DataFrame()\n", " \n", " for train_ind, test_ind in cvs.split(X, y):\n", " \n", @@ -629,7 +640,7 @@ "# theoretical chance level\n", "chance_level = 0.5\n", "\n", - "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, scale='width', palette=['orange','gray'])\n", + "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, density_norm='width', palette=['orange','gray'])\n", "plt.plot([-1,2], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", @@ -688,7 +699,7 @@ "naive_chance_level = 1.0 / 2 # equal probability for each category\n", "greedy_chance_level = max(s0,s1) / (s0+s1) # always predict the larger class\n", "\n", - "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, scale='width', palette=['orange','gray'])\n", + "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, density_norm='width', palette=['orange','gray'])\n", "plt.plot([-1,2], [naive_chance_level]*2, ':k')\n", "plt.plot([-1,2], [greedy_chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", @@ -807,7 +818,7 @@ "cvs_lbl = ['no strat', 'strat', 'loo']\n", "\n", "# accuracy\n", - "acc = pd.DataFrame(columns=['type', 'cv', 'score'])\n", + "acc = pd.DataFrame()\n", "\n", "# loop over cross-validation schemes\n", "for lbl, cvs in zip(cvs_lbl, cvs_list):\n", @@ -823,7 +834,7 @@ "mean_small_test = acc[sel_df]['score'].mean()\n", "\n", "# plot\n", - "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, scale='width', palette=['orange','gray'], cut=0)\n", + "sb.violinplot(data=acc, x='cv', y='score', hue='type', split=True, density_norm='width', palette=['orange','gray'], cut=0)\n", "plt.plot([-1,3], [naive_chance_level]*2, ':k')\n", "plt.plot([-1,3], [greedy_chance_level]*2, '--k')\n", "plt.plot([2.5], [mean_small_test], marker='x', markersize=16, color='k', ls='')\n", @@ -831,7 +842,7 @@ "plt.ylabel('accuracy')\n", "plt.legend(loc='lower left')\n", "plt.tight_layout()\n", - "plt.savefig('acc_cv')\n", + "\n", "plt.show()" ] }, @@ -910,7 +921,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.13" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/sup_lrn/nb_suplearn2_nested_cv.ipynb b/sup_lrn/nb2_hyperparam_optimization.ipynb similarity index 94% rename from sup_lrn/nb_suplearn2_nested_cv.ipynb rename to sup_lrn/nb2_hyperparam_optimization.ipynb index b92b130..0f1d6bd 100644 --- a/sup_lrn/nb_suplearn2_nested_cv.ipynb +++ b/sup_lrn/nb2_hyperparam_optimization.ipynb @@ -5,6 +5,8 @@ "id": "00cde4c7", "metadata": {}, "source": [ + "author: Mat Gilson, https://etulab.univ-amu.fr/gilson.m/compneuro_course/\n", + "\n", "# 2) Nested cross-validation \n", "\n", "This notebook shows the use of cross-validation to tune hyperparameters for classifiers\n", @@ -49,7 +51,7 @@ "source": [ "## Generate samples to classify\n", "\n", - "We first generate synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features." + "As before, we use the same synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features." ] }, { @@ -151,7 +153,7 @@ "Cs = np.array([0.01,0.1,1.0,10.0,100.0])\n", "n_C = Cs.size\n", "\n", - "acc = pd.DataFrame(columns=['type', 'C', 'score'])\n", + "acc = pd.DataFrame()\n", "\n", "coefs = np.zeros([n_C,m])\n", "\n", @@ -178,7 +180,8 @@ "\n", "\n", "# plot\n", - "sb.violinplot(data=acc, x='C', y='score', hue='type', split=True, scale='width', palette=['brown','orange'])\n", + "sb.violinplot(data=acc, x='C', y='score', hue='type', split=True,\n", + " density_norm='width', palette=['brown','orange'])\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", "plt.xlabel('reg hyperparam C')\n", @@ -198,7 +201,20 @@ "plt.figure()\n", "for i_C in range(n_C):\n", " plt.plot(range(m),coefs[i_C,:], label=Cs[i_C])\n", - "plt.legend()" + "plt.legend(fontsize=9)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "35706eb0-b2a6-4183-bb8b-dd8cf1ac304d", + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure()\n", + "for i_C in range(n_C):\n", + " plt.plot(range(m),coefs[i_C,:]/max(coefs[i_C,:]), label=Cs[i_C])\n", + "plt.legend(fontsize=9)" ] }, { @@ -424,7 +440,7 @@ "source": [ "scalings = [0.1,0.2,0.3,0.4]\n", "\n", - "acc = pd.DataFrame(columns=['scaling', 'type', 'log C', 'score'])\n", + "acc = pd.DataFrame()\n", "\n", "for scaling in scalings:\n", " # generate inputs\n", @@ -477,7 +493,7 @@ "\n", "plt.figure()\n", "sb.violinplot(data=acc2, x='scaling', y='score', hue='type', split=True, \n", - " palette=['brown','orange'], scale='width')\n", + " palette=['brown','orange'], density_norm='width')\n", "plt.plot([-1,4], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", @@ -490,7 +506,7 @@ "\n", "plt.figure()\n", "sb.violinplot(data=acc2, x='scaling', y='score', hue='type', hue_order=('shuf','test'),\n", - " split=True, palette=['gray','orange'], scale='width')\n", + " split=True, palette=['gray','orange'], density_norm='width')\n", "plt.plot([-1,4], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", @@ -501,7 +517,7 @@ "\n", "plt.figure()\n", "sb.violinplot(data=acc2, x='scaling', y='log C', hue='type', \n", - " palette=['orange','gray'], scale='width')\n", + " palette=['orange','gray'], density_norm='width')\n", "plt.legend(loc='lower right')\n", "plt.tight_layout()\n", "plt.title('best C (log$_{10}$ scale)')\n", @@ -543,7 +559,7 @@ " {'C': Cs},\n", " cv=cv_nest)\n", "\n", - "acc = pd.DataFrame(columns=['scaling', 'type', 'log C', 'score'])\n", + "acc = pd.DataFrame()\n", "\n", "for scaling in scalings:\n", " # generate inputs\n", @@ -585,7 +601,7 @@ "source": [ "plt.figure()\n", "sb.violinplot(data=acc, x='scaling', y='score', hue='type', hue_order=['shuf','test'], split=True, \n", - " palette=['gray','orange'], scale='width')\n", + " palette=['gray','orange'], density_norm='width')\n", "plt.plot([-1,4], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.ylabel('accuracy')\n", @@ -598,7 +614,7 @@ "\n", "plt.figure()\n", "sb.violinplot(data=acc2, x='scaling', y='log C', hue='type', \n", - " palette=['orange'], scale='width')\n", + " palette=['orange'], density_norm='width')\n", "plt.legend(loc='upper right')\n", "plt.tight_layout()\n", "plt.title('best C (log$_{10}$ scale)')\n", @@ -623,7 +639,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.13" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/sup_lrn/nb_suplearn3_classifiers.ipynb b/sup_lrn/nb3_compare_classifiers.ipynb similarity index 96% rename from sup_lrn/nb_suplearn3_classifiers.ipynb rename to sup_lrn/nb3_compare_classifiers.ipynb index 0aaa751..6464aeb 100644 --- a/sup_lrn/nb_suplearn3_classifiers.ipynb +++ b/sup_lrn/nb3_compare_classifiers.ipynb @@ -5,9 +5,9 @@ "id": "2628a7ec", "metadata": {}, "source": [ - "# 3) Comparing classifiers \n", + "author: Mat Gilson, https://etulab.univ-amu.fr/gilson.m/compneuro_course/\n", "\n", - "author: Mat Gilson, https://github.com/MatthieuGilson\n", + "# 3) Comparing classifiers \n", "\n", "This notebook compares different classifiers for a synthetic dataset. It includes nested cross-validation to optimize hyperparameters.\n", "\n", @@ -190,7 +190,7 @@ "outputs": [], "source": [ "# to store result accuracies\n", - "acc = pd.DataFrame(columns=['type', 'clf', 'score'])\n", + "acc = pd.DataFrame()\n", "\n", "# loop over classifiers\n", "for i, (k, param_name) in enumerate(zip(dict_clf,dict_params)):\n", @@ -247,7 +247,8 @@ "# theoretical chance level\n", "chance_level = 0.5\n", "\n", - "sb.violinplot(data=acc2, x='clf', y='score', hue='type', split=True, scale='width', palette=['brown','orange']) # cut=0\n", + "sb.violinplot(data=acc2, x='clf', y='score', hue='type', split=True,\n", + " density_norm='width', palette=['brown','orange'])\n", "plt.plot([-1,4], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.xlabel('classifier')\n", @@ -268,7 +269,7 @@ "acc2 = acc[np.logical_or(acc['type']=='shuf',acc['type']=='test')]\n", "\n", "sb.violinplot(data=acc2, x='clf', y='score', hue='type', hue_order=['shuf','test'], \n", - " split=True, scale='width', palette=['gray','orange'])\n", + " split=True, density_norm='width', palette=['gray','orange'])\n", "plt.plot([-1,4], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", "plt.xlabel('classifier')\n", @@ -295,7 +296,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.13" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/sup_lrn/nb_suplearn4_feature_selection.ipynb b/sup_lrn/nb4_feature_selection.ipynb similarity index 91% rename from sup_lrn/nb_suplearn4_feature_selection.ipynb rename to sup_lrn/nb4_feature_selection.ipynb index f106e2a..4529727 100644 --- a/sup_lrn/nb_suplearn4_feature_selection.ipynb +++ b/sup_lrn/nb4_feature_selection.ipynb @@ -5,6 +5,8 @@ "id": "00cde4c7", "metadata": {}, "source": [ + "author: Mat Gilson, https://etulab.univ-amu.fr/gilson.m/compneuro_course/\n", + "\n", "# 4) Recursive feature elimination (RFE)\n", "\n", "This notebook shows the use of RFE to identify informative features for the classification\n", @@ -49,7 +51,7 @@ "source": [ "## Generate samples to classify\n", "\n", - "We first generate synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features. " + "We generate synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features. " ] }, { @@ -125,6 +127,7 @@ " mat_rgb[i,:,0] = np.histogram(X[:s0,i], bins=vbins)[0]\n", " mat_rgb[i,:,2] = np.histogram(X[s0:,i], bins=vbins)[0]\n", "mat_rgb /= mat_rgb.max() / 2.0\n", + "mat_rgb = np.clip(mat_rgb,0.0,1.0)\n", "\n", "plt.figure(figsize=[6,7])\n", "plt.imshow(mat_rgb)\n", @@ -251,6 +254,7 @@ " mat_rgb[i,:,0] = np.histogram(X[:s0,i], bins=vbins)[0]\n", " mat_rgb[i,:,2] = np.histogram(X[s0:,i], bins=vbins)[0]\n", "mat_rgb /= mat_rgb.max() / 2.0\n", + "mat_rgb = np.clip(mat_rgb,0.0,1.0)\n", "\n", "plt.figure(figsize=[6,7])\n", "plt.imshow(mat_rgb)\n", @@ -366,6 +370,7 @@ " mat_rgb[i,:,0] = np.histogram(X[:s0,i], bins=vbins)[0]\n", " mat_rgb[i,:,2] = np.histogram(X[s0:,i], bins=vbins)[0]\n", "mat_rgb /= mat_rgb.max() / 2.0\n", + "mat_rgb = np.clip(mat_rgb,0.0,1.0)\n", "\n", "plt.figure(figsize=[6,7])\n", "plt.imshow(mat_rgb)\n", @@ -440,7 +445,7 @@ " {'mlr__C': Cs},\n", " cv=cv_nest)\n", "\n", - "acc = pd.DataFrame(columns=['type', 'log C', 'score', 'ranking'])\n", + "df_rfe = pd.DataFrame()\n", "\n", "# repeat classification\n", "for train_ind, test_ind in cvs.split(X, y):\n", @@ -465,7 +470,7 @@ " 'log C': [np.log10(best_C)], \n", " 'score': [score],\n", " 'ranking': [ranking]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", + " df_rfe = pd.concat((df_rfe, pd.DataFrame(data=d)), ignore_index=True)\n", "\n", " # shuffling\n", " train_ind_rand = np.random.permutation(train_ind)\n", @@ -480,7 +485,7 @@ " 'log C': [np.log10(best_C)], \n", " 'score': [score],\n", " 'ranking': [ranking]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)" + " df_rfe = pd.concat((df_rfe, pd.DataFrame(data=d)), ignore_index=True)" ] }, { @@ -501,7 +506,7 @@ "chance_level = 0.5\n", "\n", "plt.figure()\n", - "sb.violinplot(data=acc, y='score', x='type', hue='type',\n", + "sb.violinplot(data=df_rfe, y='score', x='type', hue='type',\n", " palette=['brown','orange'], density_norm='width')\n", "plt.plot([-1,2], [chance_level]*2, '--k')\n", "plt.yticks([0,1])\n", @@ -510,10 +515,10 @@ "plt.title('train-test accuracies')\n", "\n", "\n", - "acc2 = acc[acc['type']=='test']\n", + "acc = df_rfe[df_rfe['type']=='test']\n", "\n", "plt.figure()\n", - "sb.violinplot(data=acc2, y='log C', x='type', hue='type', \n", + "sb.violinplot(data=acc, y='log C', x='type', hue='type', \n", " palette=['orange'], density_norm='width')\n", "plt.tight_layout()\n", "plt.title('best C (log$_{10}$ scale)')\n", @@ -534,18 +539,23 @@ { "cell_type": "code", "execution_count": null, - "id": "e96d2aa6", + "id": "9b67aa9b-97ee-46bd-aee6-50c1cbdf3a36", "metadata": {}, "outputs": [], "source": [ - "sel_test = acc['type']=='test'\n", - "sel_shuf = acc['type']=='shuf'\n", + "# reshape dataframe to extract ranking for each input index\n", + "rkg = pd.DataFrame()\n", + "for i in range(df_rfe.shape[0]):\n", + " r = df_rfe.iloc[i]\n", + " for j in range(m):\n", + " d_tmp = {'type': r['type'],\n", + " 'input index': [j],\n", + " 'ranking': r['ranking'][j]}\n", + " rkg = pd.concat((rkg, pd.DataFrame(d_tmp)), ignore_index=True)\n", "\n", "plt.figure()\n", - "plt.plot(acc[sel_test]['ranking'].mean(), label='test')\n", - "plt.plot(acc[sel_shuf]['ranking'].mean(), label='shuf')\n", - "plt.xlabel('input index')\n", - "plt.ylabel('mean ranking across CV splits')\n", + "sb.lineplot(data=rkg, x='input index', y='ranking', hue='type')\n", + "plt.legend(fontsize=12)\n", "plt.tight_layout()\n", "plt.title('ranking of informative features')\n", "\n", @@ -557,7 +567,9 @@ "id": "9468ad24-29f5-4688-92cb-4821854051ef", "metadata": {}, "source": [ - "The ranking estimated from classification can be compared to the \"ground truth\", which is in theory the order of input indices. Note that the randomness in the generation of the inputs adds some noise that affects the precision of the estimated ranking." + "The ranking estimated from classification can be compared to the \"ground truth\", which is in theory the order of input indices. Note that the randomness in the generation of the inputs adds some noise that affects the precision of the estimated ranking.\n", + "\n", + "The ranking for the shuffle case also indicates a level of randomness of the ranking, reflecting the number of inputs, the number of samples, etc. From this we can evaluate a (e.g. via the standard deviation)" ] }, { @@ -567,7 +579,8 @@ "metadata": {}, "outputs": [], "source": [ - "print(np.argsort(acc[sel_test]['ranking'].mean()))" + "sel_test = df_rfe['type']=='test'\n", + "print(np.argsort(df_rfe[sel_test]['ranking'].mean()))" ] } ], diff --git a/sup_lrn/nb_suplearn_exercise.ipynb b/sup_lrn/nb_suplearn_exercise.ipynb deleted file mode 100644 index 6ea27b7..0000000 --- a/sup_lrn/nb_suplearn_exercise.ipynb +++ /dev/null @@ -1,712 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "00cde4c7", - "metadata": {}, - "source": [ - "This notebook presents the essential basics for classifying simulated and real data (time series)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8c9c8432", - "metadata": {}, - "outputs": [], - "source": [ - "# import librairies\n", - "\n", - "import numpy as np\n", - "import scipy.signal as spsg\n", - "import pandas as pd\n", - "\n", - "from sklearn.model_selection import StratifiedShuffleSplit\n", - "from sklearn.linear_model import LogisticRegression\n", - "from sklearn.preprocessing import StandardScaler\n", - "from sklearn.pipeline import Pipeline, make_pipeline\n", - "\n", - "%matplotlib inline\n", - "import matplotlib as mpl\n", - "import matplotlib.pyplot as plt\n", - "import seaborn as sb\n", - "\n", - "font = {'family' : 'DejaVu Sans',\n", - " 'weight' : 'regular',\n", - " 'size' : 18}\n", - "mpl.rc('font', **font)" - ] - }, - { - "cell_type": "markdown", - "id": "0d12a052", - "metadata": {}, - "source": [ - "## Generate synthetic data to classify\n", - "\n", - "We first generate synthetic data with 2 classes to separate (`s0` and `s1` samples, respectively). The input dimensionality corresponds `m` features. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4673d31d", - "metadata": {}, - "outputs": [], - "source": [ - "# create synthetic dataset where 2 classes of s0+s1 samples of m-dimensional inputs with controlled contrast\n", - "def gen_inputs(m, # input dimensionality\n", - " s0, # number of samples for class 0\n", - " s1, # number of samples for class 1\n", - " scaling): # scaling factor to separate classes\n", - "\n", - " # labels\n", - " lbl = np.zeros([s0+s1], dtype=int)\n", - " # inputs\n", - " X = np.zeros([s0+s1,m])\n", - "\n", - " # create s0 and s1 samples for the 2 classes\n", - " for i in range(s0+s1):\n", - " # label\n", - " lbl[i] = int(i<s0)\n", - " # inputs are random noise plus a shift\n", - " for j in range(m):\n", - " # positive/negative shift for 1st/2nd class, only for indices j larger than m/2\n", - " if j>=m/2:\n", - " if i<s0:\n", - " a = -scaling\n", - " else:\n", - " a = scaling\n", - " else:\n", - " a = 0.0\n", - " # the shift linearly depends on the feature index j\n", - " X[i,j] = a + np.random.randn()\n", - " \n", - " return X, lbl" - ] - }, - { - "cell_type": "markdown", - "id": "2052e9ec-c51e-429a-8ec0-d67eb9ec24ed", - "metadata": {}, - "source": [ - "Let's have a first look at the data. For features with indices smaller than $m/2$, there is no contrast between the two classes (in red and blue). For indices larger than $m/2$, the contrast is determined by the scaling parameters (separation between the two disributions). Each feature involve independent noise in teh generation of the samples." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "970d0a6e-d894-45f5-a1a0-5752ee222688", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# input properties\n", - "m = 10 # input dimensionality\n", - "s0 = 50 # number of samples for class 0\n", - "s1 = 50 # number of samples for class 1\n", - "scaling = 0.5 # class contrast\n", - "\n", - "# generate inputs\n", - "X, y = gen_inputs(m, s0, s1, scaling)\n", - "\n", - "# bins for istograms\n", - "vbins = np.linspace(-3,3,30)\n", - "\n", - "# plot\n", - "plt.figure(figsize=[6,7])\n", - "plt.subplot(411)\n", - "i = 0\n", - "plt.hist(X[:s0,i], histtype='step', bins=vbins, color='r')\n", - "plt.hist(X[s0:,i], histtype='step', bins=vbins, color='b')\n", - "plt.axis(xmin=-3, xmax=3)\n", - "plt.legend(['class 0', 'class 1'], fontsize=10)\n", - "plt.title('input {}'.format(i), loc='left')\n", - "plt.subplot(412)\n", - "i = int((m-1)*0.33)\n", - "plt.hist(X[:s0,i], histtype='step', bins=vbins, color='r')\n", - "plt.hist(X[s0:,i], histtype='step', bins=vbins, color='b')\n", - "plt.axis(xmin=-3, xmax=3)\n", - "plt.title('input {}'.format(i), loc='left')\n", - "plt.subplot(413)\n", - "i = int((m-1)*0.66)\n", - "plt.hist(X[:s0,i], histtype='step', bins=vbins, color='r')\n", - "plt.hist(X[s0:,i], histtype='step', bins=vbins, color='b')\n", - "plt.axis(xmin=-3, xmax=3)\n", - "plt.title('input {}'.format(i), loc='left')\n", - "plt.subplot(414)\n", - "i = m-1\n", - "plt.hist(X[:s0,i], histtype='step', bins=vbins, color='r')\n", - "plt.hist(X[s0:,i], histtype='step', bins=vbins, color='b')\n", - "plt.axis(xmin=-3, xmax=3)\n", - "plt.title('input {}'.format(i), loc='left')\n", - "plt.xlabel('X values')\n", - "plt.tight_layout()\n", - "plt.savefig('ex_contrast_X')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "6a2acd15-fd80-4c3a-89ea-fb54b95f15a7", - "metadata": {}, - "source": [ - "We can also generate a different representation for all inputs with colors to indicate the two distributions, red versus blue. Here, purple indicates that the two distirbutions overlap." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c6b6143f-6c02-49ec-b7dc-ca3793c70bc7", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# create matrix rgb\n", - "mat_rgb = np.zeros([m, vbins.size-1, 3])\n", - "for i in range(m):\n", - " mat_rgb[i,:,0] = np.histogram(X[:s0,i], bins=vbins)[0]\n", - " mat_rgb[i,:,2] = np.histogram(X[s0:,i], bins=vbins)[0]\n", - "mat_rgb /= mat_rgb.max() / 2.0\n", - "\n", - "plt.figure(figsize=[6,7])\n", - "plt.imshow(mat_rgb)\n", - "plt.xlabel('values')\n", - "plt.ylabel('input index')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "a2b44140-a4fb-4f9c-9fd1-ff3934a61c3c", - "metadata": {}, - "source": [ - "We see that low indices (first half from $0$ to $4$) correspond to overlapping distributions between the two classes. In contrast, high indices (second half from $5$ to $9$) correspond to separate distributions, meaning they are potentially informative to discriminate the classes in a classification context.\n", - "\n", - "As shown below, the left half of vertical columns in the matrix (sample, feature) have similar values for the red and blue classes (top and bottom half of rows, respectively). However, the right columns show differentiated values for the two classes: lower values for the red class than for the blue class. Importantly, note that these data involve noise: for each sample, not the same input feature (among high indices) allows for a clear prediction of the class of the sample. The goal of classification is to extract the relevant information to perform the classification." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e1d2470e-44a2-4fbd-834e-e898eb7f649b", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "plt.figure(figsize=[8,6])\n", - "plt.axes([0.2,0.2,0.55,0.7])\n", - "plt.imshow(X, aspect=0.2, interpolation='nearest')\n", - "plt.xlabel('feature')\n", - "plt.ylabel('sample')\n", - "plt.axes([0.6,0.2,0.3,0.7])\n", - "plt.imshow(y.reshape([s0+s1,1]), aspect=0.2, interpolation='nearest', cmap='bwr')\n", - "plt.xticks([0],[' '])\n", - "plt.xlabel('label')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "9089a6d5-ff78-4c1c-9bd0-add0f7997e43", - "metadata": {}, - "source": [ - "## Cross-validation and train-test splitting\n", - "\n", - "Cross-validation consists in separating the whole dataset in two sets: a training set that is used to train the classifier, a testing set to evaluate the performance of the classifier. In essence, this amounts to dividing the sample indices in two subsets. Typically, when enough samples are available, the test set can be set to 20% of the whole dataset, while the 80% remaining samples are used for training." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1187b5f5-1078-4241-83d3-1717edac5ee1", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# number of split repetitions\n", - "n_rep = 10\n", - "\n", - "# outer cross-validation scheme\n", - "cvs = StratifiedShuffleSplit(n_splits=n_rep, test_size=0.2)\n", - "\n", - "# repeat classification\n", - "cnt = 0\n", - "for train_ind, test_ind in cvs.split(X, y):\n", - " print('split {}:\\n train indices: {} \\n test indices: {} \\n'.format(cnt, train_ind, test_ind))\n", - " cnt += 1" - ] - }, - { - "cell_type": "markdown", - "id": "0024c6aa", - "metadata": {}, - "source": [ - "## Classifier, parameterization and training\n", - "\n", - "We build a pipeline for the classifier, here the [logistic regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html). As many classifiers, the logistic regression takes some parameters involved in its design and training. Here we just set the value for `C` that governs the regularization of the training, meaning how many features are going to be retained for the classification: lower values implies a sparser distribution of weights after training, that is many weights close to zero and only a few non-weights that correspond to informative features efficively used by the classificier.\n", - "\n", - "To assess whether the classifier is efficient, one can shuffle the labels for training such as to train the classifier with \"noise\" and obtain random prediction on the test set, resulting in chance-level accuracy perform by a \"random\" classifier.\n", - "\n", - "In practice, we store all those accuracies in a dataframe from the `pandas` library, which is useful to later plot them using the `seaborn` library." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6f2a4e24", - "metadata": {}, - "outputs": [], - "source": [ - "# default value fhyperparameter for regularization\n", - "C = 1.0\n", - "\n", - "# classifier in pipeline and wrapper for RFE\n", - "clf = Pipeline([('scl',StandardScaler()),\n", - " ('mlr',LogisticRegression(C=C))])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07cdf8f2", - "metadata": {}, - "outputs": [], - "source": [ - "# results: accuracy and trained weights\n", - "acc = pd.DataFrame(columns=['type', 'score'])\n", - "weights = pd.DataFrame(columns=['type', 'feat_idx', 'value'])\n", - "\n", - "# repeat classification\n", - "for train_ind, test_ind in cvs.split(X, y):\n", - " \n", - " # train the classifier\n", - " clf.fit(X[train_ind,:], y[train_ind])\n", - " # accuracy on train set\n", - " score = clf.score(X[train_ind,:], y[train_ind])\n", - " d = {'type': ['train'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", - " # accuracy on test set\n", - " score = clf.score(X[test_ind,:], y[test_ind])\n", - " d = {'type': ['test'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", - " # trained weights\n", - " for idx in range(m):\n", - " d = {'type': ['train'],\n", - " 'feat_idx': [idx],\n", - " 'value': [clf[-1].coef_[0,idx]]}\n", - " weights = pd.concat((weights, pd.DataFrame(data=d)), ignore_index=True)\n", - " \n", - " # shuffling labels to evaluate the chance-level classification, retrain and test\n", - " train_ind_rand = np.random.permutation(train_ind)\n", - " clf.fit(X[train_ind,:], y[train_ind_rand])\n", - " score = clf.score(X[test_ind,:], y[test_ind])\n", - " d = {'type': ['shuf'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", - " # trained weights\n", - " for idx in range(m):\n", - " d = {'type': ['shuf'],\n", - " 'feat_idx': [idx],\n", - " 'value': [clf[-1].coef_[0,idx]]}\n", - " weights = pd.concat((weights, pd.DataFrame(data=d)), ignore_index=True)\n" - ] - }, - { - "cell_type": "markdown", - "id": "2702e677", - "metadata": {}, - "source": [ - "When plotting the accuracy results, we see that the classifier performs very well on the training set as illustrated by the accuracy in brown. In comparison the accuracy on the testing set in orange is lower, but still way above the chance level in gray (for the scaling factor of $0.7$ used in generating the samples). The comparison between these three accuracy distributions (because we use several repetitions of the splitting scheme) provides a quantitative manner to understand whether the classifier training is successful. A more complete check-up would consider the evolution of these accuracies during the iterative training of the classifier.\n", - "\n", - "Here we have two classes with the same number of samples in each, so the chance-level is in theory 50%. The point of evaluating the chance level from the data is to quantify the variability of the corresponding accuracy." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "03237341", - "metadata": {}, - "outputs": [], - "source": [ - "chance_level = 0.5\n", - "\n", - "plt.figure()\n", - "sb.violinplot(data=acc, y='score', x='type', hue='type', cut=1.0,\n", - " palette=['brown','orange','gray'], density_norm='width', inner=None, legend=False)\n", - "sb.swarmplot(data=acc, y='score', x='type', hue='type',\n", - " palette=['black','black','black'])\n", - "plt.plot([-1,3], [chance_level]*2, '--k')\n", - "plt.yticks([0,1])\n", - "plt.xlabel('')\n", - "plt.ylabel('accuracy')\n", - "plt.tight_layout()\n", - "plt.title('train-test accuracies')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "4dead486-aa61-42fe-af61-12862fce1100", - "metadata": {}, - "source": [ - "The `weights` dataframe has to the trained weights for the classifier in the two conditions ('train' and 'shuf'), together with the index of the feature. We can plot them to see which features are used by the trained classifier, indicating informative features.\n", - "\n", - "We indeed see large weights (in absolute value) for high features indices and small weights for low feature indices for the trained classifier. In contrast, the classifier trained with shuffled labels has all weights close to zero, indicating an absence of specialization." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0427e876-3a2d-4df4-9c7f-3105e8ca339d", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "plt.figure()\n", - "sb.lineplot(data=weights, y='value', x='feat_idx', hue='type')\n", - "plt.xlabel('feature index')\n", - "plt.ylabel('weight value')\n", - "plt.tight_layout()\n", - "plt.title('trained weights', fontsize=16)\n", - "plt.legend(fontsize=14, loc='lower left')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "c0f55fdc-d11a-4188-9e3a-3d793431ed54", - "metadata": {}, - "source": [ - "## Exercices:\n", - "- modify the values of the scaling factor that determines the contrast between the two classes in order to see the effect on the accuracies\n", - "- modify the value of the regularization parameter to see the effect of the trained weights" - ] - }, - { - "cell_type": "markdown", - "id": "4c1a21e3-2c50-4b45-822b-d24d3625995a", - "metadata": {}, - "source": [ - "## Application to real data: fMRI time series\n", - "\n", - "We load the data: fMRI/BOLD signals that are proxies for the neuronal activity of (large) brain regions over time." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "dbc3ff80-ab06-4a75-826c-e5a0525f59d1", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "ts = np.load('ts_fMRI_movie.npy')\n", - "\n", - "print('shape of data array:', ts.shape)\n", - "print('order of dimensions: run, region, time')\n", - "\n", - "n = ts.shape[0] # number of samples\n", - "N = ts.shape[1] # number of regions\n", - "T = ts.shape[2] # number of time points" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2166814f-b38d-4cdc-a6bb-8f77204b67b6", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# claening data\n", - "\n", - "# time resolution for fMRI signals (in seconds)\n", - "TR = 2.0\n", - "\n", - "# filter the fMRI/BOLD signals between 0.01 and 0.2 Hz (for detrending)\n", - "n_order = 3\n", - "Nyquist_freq = 0.5 / TR\n", - "low_f = 0.01 / Nyquist_freq\n", - "high_f = 0.2 / Nyquist_freq\n", - "b,a = spsg.iirfilter(n_order, [low_f,high_f], btype='bandpass', ftype='butter')\n", - "\n", - "filtered_ts = spsg.filtfilt(b,a,ts, axis=-1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6f453b1c-0c4f-4a2f-9a90-a12bdbb347eb", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# index of fMRI run (or session)\n", - "i_run = 0\n", - "\n", - "# visualise the BOLD signals\n", - "plt.figure()\n", - "plt.plot(range(T),ts[i_run,:,:].T)\n", - "plt.xlabel('time')\n", - "plt.ylabel('region activity')\n", - "plt.title('unfiltered BOLD signals')\n", - "\n", - "plt.figure()\n", - "plt.plot(range(T),filtered_ts[i_run,:,:].T)\n", - "plt.xlabel('time')\n", - "plt.ylabel('region activity')\n", - "plt.title('filtered BOLD signals')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "0ed14a58-15f5-4417-89de-684e65e198bf", - "metadata": {}, - "source": [ - "There are 110 runs in the dataset: 5 runs for 22 subjects. For each subject, the first two runs are resting state, the three others are passive movie viewing. Let's see if we can disriminate the two types of behavioral sessions from the recorded brain activity. For this, we need to define labels for the classification. Labels are integers that represent a class, here $0$ for resting state and $1$ for movie viewing." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "33de711c-f950-4d04-862f-c6ece5649d83", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "n_sub = 22 # number of subjects\n", - "n_run = 5 # number of fMRI runs\n", - "\n", - "labels = np.zeros([n_sub,n_run], dtype=int)\n", - "for i_sub in range(n_sub):\n", - " for i_run in range(n_run):\n", - " labels[i_sub,i_run] = int(i_run>=2)\n", - " \n", - "# vectorize the labels to match the 110 samples: careful, the order of the dimensions of the matrix (subjects,runs) is important here; doing the same with (runs,subjects) would fail\n", - "labels = labels.flatten()\n", - "print(labels.shape)" - ] - }, - { - "cell_type": "markdown", - "id": "594f9b80-31eb-49e8-bc0e-aa96fad95d58", - "metadata": {}, - "source": [ - "To feed the classifier, we need to transform our data in a vector of features. We try three manners:\n", - "- we concatenate all times series, meaning that the activity at each time point for a region has different values in the two conditions\n", - "- we calculate the mean activity value over time for each region, meaning that regions may have higher activity on average during the run in one of the two conditions\n", - "- we calculate the correlation over time for all pairs of regions, meaning that regions are more or less \"synchronized\" in the two conditions" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f3565bec-0949-42b8-9a88-d9b6ac33d314", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# concatenate the time series by reshaping the array: this converts the two dimensions (region, time) into a single one\n", - "concat_feat = filtered_ts.reshape([n,-1])\n", - "\n", - "# calculate the mean activity over time\n", - "mean_feat = np.mean(filtered_ts, axis=2)\n", - "\n", - "# calculate the correlation over time; here we only retain half of the correlation matrix (the lower triangle) for each sample because the matrix is symmetric\n", - "mask_tri = np.tri(N,N,-1,dtype=bool)\n", - "corr_feat = np.zeros([n,mask_tri.sum()])\n", - "# loop over all samples: we calculate the correlation matrix of the times series and vectorize using the boolean mask\n", - "for i in range(n):\n", - " tmp_corr = np.corrcoef(filtered_ts[i,:,:], rowvar=True)\n", - " corr_feat[i,:] = tmp_corr[mask_tri]\n", - " \n", - "# print the shapes of the data for each transformation: note the disctint number of features\n", - "print(concat_feat.shape)\n", - "print(mean_feat.shape)\n", - "print(corr_feat.shape)" - ] - }, - { - "cell_type": "markdown", - "id": "8ea1e8a2-3bc9-46d8-8a0e-35792512bc87", - "metadata": {}, - "source": [ - "Let's plot for example the matrix with mean activity as features. We see that some regions (columns) have modulation of mean activity. We can reorder the samples to see it more clearly." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b4ac6135-2e53-4630-9029-6566536e1a9a", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "plt.figure(figsize=[8,6])\n", - "plt.axes([0.2,0.2,0.55,0.7])\n", - "plt.imshow(mean_feat, aspect=1.0, interpolation='nearest')\n", - "plt.xlabel('feature')\n", - "plt.ylabel('sample')\n", - "plt.axes([0.6,0.2,0.3,0.7])\n", - "plt.imshow(labels.reshape([n,1]), aspect=0.2, interpolation='nearest', cmap='bwr')\n", - "plt.xticks([0],[' '])\n", - "plt.xlabel('label')\n", - "\n", - "# reordering of samples\n", - "rest_idx = labels==0\n", - "movie_idx = labels==1\n", - "reorder_mean_feat = np.vstack((mean_feat[rest_idx,:],mean_feat[movie_idx,:]))\n", - "reorder_labels = np.hstack((labels[rest_idx],labels[movie_idx]))\n", - "\n", - "plt.figure(figsize=[8,6])\n", - "plt.axes([0.2,0.2,0.55,0.7])\n", - "plt.imshow(reorder_mean_feat, aspect=1.0, interpolation='nearest')\n", - "plt.xlabel('feature')\n", - "plt.ylabel('sample')\n", - "plt.axes([0.6,0.2,0.3,0.7])\n", - "plt.imshow(reorder_labels.reshape([n,1]), aspect=0.2, interpolation='nearest', cmap='bwr')\n", - "plt.xticks([0],[' '])\n", - "plt.xlabel('label')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "e6c68c00-3c81-4497-a37e-02ddbd8bdd4f", - "metadata": {}, - "source": [ - "Now we are ready to try the classification on each type of feature." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5ef08949-71b6-4445-afcb-f5b824bb950b", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# results: accuracy and trained weights\n", - "acc = pd.DataFrame(columns=['feature', 'score'])\n", - "\n", - "# get labels\n", - "y = labels\n", - "\n", - "# repeat classification\n", - "for train_ind, test_ind in cvs.split(y, y): # here note that only the number of samples is used for the splitting, so we can use the labels y only for the splitting\n", - " \n", - " # get concatenated time series as features\n", - " X = concat_feat\n", - " # train the classifier and evaluate accuracy on test set\n", - " clf.fit(X[train_ind,:], y[train_ind])\n", - " score = clf.score(X[test_ind,:], y[test_ind])\n", - " d = {'feature': ['concat'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", - " \n", - " # get mean activity as features\n", - " X = mean_feat\n", - " # train the classifier and evaluate accuracy on test set\n", - " clf.fit(X[train_ind,:], y[train_ind])\n", - " score = clf.score(X[test_ind,:], y[test_ind])\n", - " d = {'feature': ['mean'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)\n", - " \n", - " # get vectorized correlations as features\n", - " X = corr_feat\n", - " # train the classifier and evaluate accuracy on test set\n", - " clf.fit(X[train_ind,:], y[train_ind])\n", - " score = clf.score(X[test_ind,:], y[test_ind])\n", - " d = {'feature': ['corr'],\n", - " 'score': [score]}\n", - " acc = pd.concat((acc, pd.DataFrame(data=d)), ignore_index=True)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7125acea-740a-4f0c-84f4-ef031fc1dd24", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "plt.figure()\n", - "sb.violinplot(data=acc, y='score', x='feature', hue='feature', cut=0.0,\n", - " palette=['cyan','blue','purple'], density_norm='width', legend=False)\n", - "sb.swarmplot(data=acc, y='score', x='feature', hue='feature',\n", - " palette=['gray','gray','gray'])\n", - "plt.yticks([0,1])\n", - "plt.axis(ymax=1.05)\n", - "plt.ylabel('accuracy')\n", - "plt.tight_layout()\n", - "plt.title('train-test accuracies')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "0798acd1-08fd-4f48-bd1f-4a4e8f2bda0d", - "metadata": {}, - "source": [ - "These results indicate that the time series have reliable profiles across time, which comes from the fact that specific visual scenes during the movie induce similar transient activity patterns in all subjects. The mean activity is less informative, but the correlation yields perfect classification.\n", - "\n", - "Now we have'nt defined the chance level here, so we don't have a reference to compare each classification type to its own reference as before with teh synthetic data." - ] - }, - { - "cell_type": "markdown", - "id": "d18f6bbd-d53e-49ba-858c-44c72bc8bf25", - "metadata": {}, - "source": [ - "## Exercises:\n", - "- evaluate the chance-level accuracy for each feature type\n", - "- check the profile of informative weights\n", - "- try to predict the subject identity instead of the behavioral conditions (modify the labels)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.13" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tm_srs/environment.yml b/tm_srs/environment.yml deleted file mode 100644 index 6e9cabe..0000000 --- a/tm_srs/environment.yml +++ /dev/null @@ -1,8 +0,0 @@ -name: sktime -channels: - - conda-forge -dependencies: - - jupyterlab - - sktime - - matplotlib - -- GitLab