From 891785dd4f141086ac5e8fb1ce9c1c94d64cf2d8 Mon Sep 17 00:00:00 2001 From: ngow210 Date: Fri, 26 Jul 2024 11:01:19 +1200 Subject: [PATCH 1/5] ensemble methods code errors fixed --- _episodes/04-ensemble-methods.md | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/_episodes/04-ensemble-methods.md b/_episodes/04-ensemble-methods.md index f261bbd..10631aa 100644 --- a/_episodes/04-ensemble-methods.md +++ b/_episodes/04-ensemble-methods.md @@ -119,8 +119,7 @@ forest = RandomForestClassifier(n_estimators=100, max_depth=7, min_samples_leaf= # train our model forest.fit(X_train, y_train) -# compare our models -print(tree.score(X_test, y_test)) +# Score our model print(forest.score(X_test, y_test)) ~~~ {: .language-python} @@ -153,10 +152,16 @@ We can see the first 5 (of 100) trees that were fitted as part of the forest. If we train the random forest estimator using the same two parameters used to plot the classification space for the decision tree classifier what do we think the plot will look like? ~~~ +# lets train a random forest for only two features (body mass and bill length) +from sklearn.inspection import DecisionBoundaryDisplay +f1 = feature_names[0] +f2 = feature_names[3] + # plot classification space for body mass and bill length with random forest forest_2d = RandomForestClassifier(n_estimators=100, max_depth=7, min_samples_leaf=1, random_state=5) forest_2d.fit(X_train[[f1, f2]], y_train) +# Lets plot the decision boundaries made by the model for the two trained features d = DecisionBoundaryDisplay.from_estimator(forest_2d, X_train[[f1, f2]]) sns.scatterplot(X_train, x=f1, y=f2, hue=y_train, palette="husl") From ca8ee6317e8ddba8e0f59708d9e69f3ec0dad758 Mon Sep 17 00:00:00 2001 From: ngow210 Date: Fri, 26 Jul 2024 11:40:39 +1200 Subject: [PATCH 2/5] Dimensionality reduction changes in code and figures --- _episodes/06-dimensionality-reduction.md | 18 +++++++++++------- fig/pca_clustered.png | Bin 83179 -> 84556 bytes fig/pca_labelled.png | Bin 116873 -> 118440 bytes fig/pca_unlabelled.png | Bin 76989 -> 79147 bytes fig/tsne_clustered.png | Bin 45942 -> 47702 bytes fig/tsne_labelled.png | Bin 60034 -> 62871 bytes fig/tsne_unlabelled.png | Bin 49547 -> 51513 bytes 7 files changed, 11 insertions(+), 7 deletions(-) diff --git a/_episodes/06-dimensionality-reduction.md b/_episodes/06-dimensionality-reduction.md index 2070ae3..27381fc 100644 --- a/_episodes/06-dimensionality-reduction.md +++ b/_episodes/06-dimensionality-reduction.md @@ -40,10 +40,10 @@ def plots(x_manifold): # without labels fig = plt.figure(1, figsize=(4, 4)) - plt.scatter(tx, ty, edgecolor='k',label=labels) + plt.scatter(tx, ty, edgecolor='k') plt.show() -def plot_clusters(x_manifold, clusters): +def plot_clusters(x_manifold, clusters, Kmean): tx = x_manifold[:, 0] ty = x_manifold[:, 1] fig = plt.figure(1, figsize=(4, 4)) @@ -62,7 +62,11 @@ def plot_clusters_labels(x_manifold, labels): edgecolor='k', label=labels) plt.colorbar(boundaries=np.arange(11)-0.5).set_ticks(np.arange(10)) plt.show() +~~~ +{: .language-python} +Next lets load in the digits datasets, +~~~ # load in dataset as a Pandas Dataframe, return X and Y features, labels = datasets.load_digits(return_X_y=True, as_frame=True) @@ -160,8 +164,8 @@ We now have a 2D representation of our 64D dataset that we can work with instead ~~~ Kmean = skl_cluster.KMeans(n_clusters=10) Kmean.fit(x_pca) -clusters = Kmean.predict(x_pca,labels) -plot_clusters(x_pca, clusters) +clusters = Kmean.predict(x_pca) +plot_clusters(x_pca, clusters, Kmean) ~~~ {: .language-python} @@ -184,7 +188,7 @@ It's worth noting that PCA does not handle outlier data well primarily due to gl t-SNE is a powerful example of manifold learning - a non-deterministic non-linear approach to dimensionality reduction. Manifold learning tasks are based on the idea that the dimension of many datasets is artificially high. This is likely the case for our MNIST dataset, as the corner pixels of our images are unlikely to contain digit data, and thus those dimensions are almost negligable compared with others. -The versatility of the algorithm in transforming the underlying structural information into lower-order projections makes t-SNE applicable to a wide range of research domains. +The versatility of the algorithm in transforming the underlying structural information into lower-order projections makes t-SNE applicable to a wide range of research domains. For more in depth explanations of t-SNE and manifold learning please see the following links which also contain som very nice visual examples of manifold learning in action: * [https://thedatafrog.com/en/articles/visualizing-datasets/](https://thedatafrog.com/en/articles/visualizing-datasets/) @@ -210,9 +214,9 @@ It looks like t-SNE has done a much better job of splitting our data up into clu Kmean = skl_cluster.KMeans(n_clusters=10) Kmean.fit(x_tsne) -clusters = Kmean.predict(x_tsne,labels) +clusters = Kmean.predict(x_tsne) -plot_clusters(x_tsne, clusters) +plot_clusters(x_tsne, clusters, Kmean) plot_clusters_labels(x_tsne, labels) ~~~ {: .language-python} diff --git a/fig/pca_clustered.png b/fig/pca_clustered.png index ea699bcb02540aa057abe7cc75ba96a07309e090..0444bcc450a290c56fe0b366dfeb8397aae639b2 100644 GIT binary patch literal 84556 zcmeFYRZv{r7d_ZO10A&S0Kp+ZfC%o;xCCh2B?Nc(AkBxnySoRMpa~Wr?af@=KRKC#6h65)*x0++SQ=BinL0UJ+S_rw<$3#omD<9^#le~X-8_1S?vi>468>*Zxlj}RzTlKCsQGLrYtjSL 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z^E$({AW7K?ZGCMJFcAf~*8*`)!NAa0FinXIO2p|FH~VV4<>tebHMMH@Gc#!CdNkX3 zv#1{?IbRH@gmP4whd>+~0s~|%p7K7S^?D^^Y5Wn!kutRIK!hl?qJjgw83sVJuiQlc z^~=Jx({tfw!GG`nMBN&2X`uDVfpimG66pjWulV17d+oD}R`;-ly3qvzA9B(PugfJ3 G{QnEd!*PHB From d3b582c8e648fe76407e89acbd6f7b6062fb7a41 Mon Sep 17 00:00:00 2001 From: ngow210 Date: Fri, 26 Jul 2024 15:40:56 +1200 Subject: [PATCH 3/5] ep 05-06 code consistancy and refactor --- _episodes/05-clustering.md | 50 +++++++++++++++-------- _episodes/06-dimensionality-reduction.md | 30 +++++++------- fig/kmeans_concentric_circle.png | Bin 51717 -> 32103 bytes fig/kmeans_overlapping_clusters.png | Bin 62889 -> 63637 bytes fig/random_clusters.png | Bin 8923 -> 47962 bytes fig/random_clusters_centre.png | Bin 18505 -> 26801 bytes 6 files changed, 47 insertions(+), 33 deletions(-) diff --git a/_episodes/05-clustering.md b/_episodes/05-clustering.md index 8d12850..4d548d7 100644 --- a/_episodes/05-clustering.md +++ b/_episodes/05-clustering.md @@ -75,9 +75,31 @@ Now lets create some random blobs using the `make_blobs` function. The `n_sample ~~~ import matplotlib.pyplot as plt +#Lets define some functions here to avoid repetitive code +def plots_labels(data, labels): + tx = data[:, 0] + ty = data[:, 1] + + fig = plt.figure(1, figsize=(4, 4)) + plt.scatter(tx, ty, edgecolor='k', c=labels) + plt.show() + +def plot_clusters(data, clusters, Kmean): + tx = data[:, 0] + ty = data[:, 1] + fig = plt.figure(1, figsize=(4, 4)) + plt.scatter(tx, ty, s=5, linewidth=0, c=clusters) + for cluster_x, cluster_y in Kmean.cluster_centers_: + plt.scatter(cluster_x, cluster_y, s=100, c='r', marker='x') + plt.show() +~~~ +{: .language-python} + +Lets create the clusters. + +~~~ data, cluster_id = skl_datasets.make_blobs(n_samples=400, cluster_std=0.75, centers=4, random_state=1) -plt.scatter(data[:,0], data[:,1], s=5, linewidth=0) -plt.show() +plots_labels(data, cluster_id) ~~~ {: .language-python} @@ -95,15 +117,14 @@ clusters = Kmean.predict(data) The data can now be plotted to show all the points we randomly generated. To make it clearer which cluster points have been classified we can set the colours (the c parameter) to use the `clusters` list that was returned by the `predict` function. The Kmeans algorithm also lets us know where it identified the centre of each cluster. These are stored as a list called 'cluster_centers_' inside the `Kmean` object. Let's plot the points from the clusters, colouring them by the output from the K-means algorithm, and also plot the centres of each cluster as a red X. ~~~ -plt.scatter(data[:, 0], data[:, 1], s=5, linewidth=0, c=clusters) -for cluster_x, cluster_y in Kmean.cluster_centers_: - plt.scatter(cluster_x, cluster_y, s=100, c='r', marker='x') -plt.show() +plot_clusters(data, clusters, Kmean) ~~~ {: .language-python} ![Plot of the fitted random clusters](../fig/random_clusters_centre.png) +Here is the code all in a single block. + ~~~ import sklearn.cluster as skl_cluster import sklearn.datasets as skl_datasets @@ -115,10 +136,7 @@ Kmean = skl_cluster.KMeans(n_clusters=4) Kmean.fit(data) clusters = Kmean.predict(data) -plt.scatter(data[:, 0], data[:, 1], s=5, linewidth=0, c=clusters) -for cluster_x, cluster_y in Kmean.cluster_centers_: - plt.scatter(cluster_x, cluster_y, s=100, c='r', marker='x') -plt.show() +plot_clusters(data, clusters, Kmean) ~~~ {: .language-python} @@ -207,8 +225,7 @@ Lets try out using Scikit-Learn's spectral clustering. To make the concentric ci import sklearn.datasets as skl_data circles, circles_clusters = skl_data.make_circles(n_samples=400, noise=.01, random_state=0) -plt.scatter(circles[:, 0], circles[:, 1], s=15, linewidth=0) -plt.show() +plots_labels(circles, circles_clusters) ~~~ {: .language-python} @@ -222,8 +239,7 @@ The SpectralClustering class combines the fit and predict functions into a singl ~~~ labels = model.fit_predict(circles) -plt.scatter(circles[:, 0], circles[:, 1], s=15, linewidth=0, c=labels, cmap='flag') -plt.show() +plots_labels(circles, labels) ~~~ {: .language-python} @@ -241,14 +257,12 @@ Kmean.fit(circles) clusters = Kmean.predict(circles) # plot the data, colouring it by cluster -plt.scatter(circles[:, 0], circles[:, 1], s=15, linewidth=0.1, c=clusters,cmap='flag') -plt.show() +plot_clusters(circles, clusters, Kmean) # cluster with spectral clustering model = skl_cluster.SpectralClustering(n_clusters=2, affinity='nearest_neighbors', assign_labels='kmeans') labels = model.fit_predict(circles) -plt.scatter(circles[:, 0], circles[:, 1], s=15, linewidth=0, c=labels, cmap='flag') -plt.show() +plots_labels(circles, labels) ~~~ {: .language-python} diff --git a/_episodes/06-dimensionality-reduction.md b/_episodes/06-dimensionality-reduction.md index 27381fc..ab57dcd 100644 --- a/_episodes/06-dimensionality-reduction.md +++ b/_episodes/06-dimensionality-reduction.md @@ -34,27 +34,26 @@ import sklearn.cluster as skl_cluster from sklearn import manifold, decomposition, datasets # Let's define these here to avoid repetitive code -def plots(x_manifold): - tx = x_manifold[:, 0] - ty = x_manifold[:, 1] - - # without labels +def plots_labels(data, labels): + tx = data[:, 0] + ty = data[:, 1] + fig = plt.figure(1, figsize=(4, 4)) - plt.scatter(tx, ty, edgecolor='k') + plt.scatter(tx, ty, edgecolor='k', c=labels) plt.show() -def plot_clusters(x_manifold, clusters, Kmean): - tx = x_manifold[:, 0] - ty = x_manifold[:, 1] +def plot_clusters(data, clusters, Kmean): + tx = data[:, 0] + ty = data[:, 1] fig = plt.figure(1, figsize=(4, 4)) plt.scatter(tx, ty, s=5, linewidth=0, c=clusters) for cluster_x, cluster_y in Kmean.cluster_centers_: plt.scatter(cluster_x, cluster_y, s=100, c='r', marker='x') plt.show() -def plot_clusters_labels(x_manifold, labels): - tx = x_manifold[:, 0] - ty = x_manifold[:, 1] +def plot_clusters_labels(data, labels): + tx = data[:, 0] + ty = data[:, 1] # with labels fig = plt.figure(1, figsize=(5, 4)) @@ -65,7 +64,7 @@ def plot_clusters_labels(x_manifold, labels): ~~~ {: .language-python} -Next lets load in the digits datasets, +Next lets load in the digits dataset, ~~~ # load in dataset as a Pandas Dataframe, return X and Y features, labels = datasets.load_digits(return_X_y=True, as_frame=True) @@ -153,7 +152,8 @@ print(x_pca.shape) This returns us an array of 1797x2 where the 2 remaining columns(our new "features" or "dimensions") contain vector representations of the first principle components (column 0) and second principle components (column 1) for each of the images. We can plot these two new features against each other: ~~~ -plots(x_pca) +# We are passing None becuase it is an unlabelled plot +plots_labels(x_pca, None) ~~~ {: .language-python} @@ -202,7 +202,7 @@ Scikit-Learn allows us to apply t-SNE in a relatively simple way. 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