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@cjnolet
Last active May 18, 2022 22:49
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{
"cells": [
{
"cell_type": "markdown",
"id": "9bad6846-d28a-42bf-ac91-3160bc735747",
"metadata": {},
"source": [
"# Clustering and Visualizing Embeddings with HDBSCAN & UMAP\n",
"\n",
"In this notebook, we use a dataset of word embeddings to extract areas that could be associated with meaningful topics. We use HDBSCAN to find the meaningful topics since it can account for noise when labeling regions of high density without explicitly requiring a distance as input. We also use UMAP to visualize the resulting topic clusters.\n",
"\n",
"This notebook requires the [GoogleNews Word2Vec dataset](https://code.google.com/archive/p/word2vec/), which can be downloaded from https://drive.google.com/file/d/0B7XkCwpI5KDYNlNUTTlSS21pQmM/edit?usp=sharing. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "6ed03e17-0e25-41c3-9bcc-f45f41ba0bb7",
"metadata": {},
"outputs": [],
"source": [
"from gensim import models\n",
"import cupy as cp\n",
"\n",
"from cuml.manifold import UMAP\n",
"from cuml.preprocessing import normalize\n",
"from cuml.cluster import HDBSCAN\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.pyplot import figure"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e85def2f-2a0c-431e-b611-046fc82785d9",
"metadata": {},
"outputs": [],
"source": [
"w = models.KeyedVectors.load_word2vec_format(\"GoogleNews-vectors-negative300.bin\", binary=True)"
]
},
{
"cell_type": "markdown",
"id": "e9bdd4c2-2399-4d4c-9f50-6b4021c261b9",
"metadata": {},
"source": [
"We can use `min_samples` to control the radius of the core distances. A smaller setting leads to more clusters and less points being treated as noise. `min_cluster_size` and `max_cluster_size` bound the number of clusters by only allowing points to form a cluster when they are > `min_cluster_cluster` and splitting a single cluster into multiple smaller clusters when it is > `max_cluster_size`"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "32538f02-91e6-4465-8e99-8fda4552eb09",
"metadata": {},
"outputs": [],
"source": [
"n_points = 100000\n",
"\n",
"umap_n_neighbors=100\n",
"umap_min_dist=1e-3\n",
"umap_spread=2.0\n",
"umap_n_epochs=500\n",
"umap_random_state=42\n",
"\n",
"hdbscan_min_samples=25\n",
"hdbscan_min_cluster_size=5\n",
"hdbscan_max_cluster_size=1000\n",
"hdbscan_cluster_selection_method=\"leaf\""
]
},
{
"cell_type": "markdown",
"id": "03ec4fd8-01fc-452e-8e7f-2973335a2c81",
"metadata": {},
"source": [
"L2 normalize the vectors so that the Euclidean distance between them will give the angular distance."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "de954cf6-b06c-4985-8258-4fe8c7eca405",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 4.17 s, sys: 4.57 s, total: 8.73 s\n",
"Wall time: 8.76 s\n"
]
}
],
"source": [
"%%time\n",
"X = normalize(cp.array(w.vectors))[:n_points]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "cc3c6db5-a44c-421f-bd90-ccc32ca158b2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(100000, 300)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.shape"
]
},
{
"cell_type": "markdown",
"id": "b104dba7-ef96-4fd8-941d-a41de0951522",
"metadata": {},
"source": [
"First, we can use manifold learning to convert the neighborhoods of points in the angular distance space to a 2-dimensional Euclidean space so that we can better virualize the clusters."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d2de82bb-3ac5-4df9-81f2-30da475bb697",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1.71 s, sys: 910 ms, total: 2.62 s\n",
"Wall time: 2.62 s\n"
]
}
],
"source": [
"%%time\n",
"umap = UMAP(n_neighbors=umap_n_neighbors, \n",
" min_dist=umap_min_dist, \n",
" spread=umap_spread, \n",
" n_epochs=umap_n_epochs, \n",
" random_state=umap_random_state)\n",
"\n",
"embeddings = umap.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "fa98f4fd-32b5-4a0e-89af-bfaf34623e4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Label prop iterations: 23\n",
"Label prop iterations: 10\n",
"Label prop iterations: 6\n",
"Label prop iterations: 5\n",
"Iterations: 4\n",
"17663,114,1077,12,218,1603\n",
"CPU times: user 5.6 s, sys: 933 ms, total: 6.53 s\n",
"Wall time: 6.51 s\n"
]
}
],
"source": [
"%%time\n",
"hdbscan = HDBSCAN(min_samples=hdbscan_min_samples, \n",
" min_cluster_size=hdbscan_min_cluster_size, \n",
" max_cluster_size=hdbscan_max_cluster_size,\n",
" cluster_selection_method=hdbscan_cluster_selection_method)\n",
"\n",
"labels = hdbscan.fit_predict(X)"
]
},
{
"cell_type": "markdown",
"id": "db951ea3-5cee-407e-94c6-86b656fb0271",
"metadata": {},
"source": [
"Percentage of points were labeled as meaningful topics"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "68ca407c-4e5f-41fd-898d-0d8421f6e9b4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.04558"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(labels[labels!=-1]) / embeddings.shape[0]"
]
},
{
"cell_type": "markdown",
"id": "4626a0ad-c522-4a1a-9e7d-8046e2e298e2",
"metadata": {},
"source": [
"How many labels are there?"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c453b26b-25ac-422b-beea-d68f8113705f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"151"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(cp.unique(labels))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "78e557c8-3572-4f50-bb38-032013403c67",
"metadata": {},
"outputs": [],
"source": [
"x = embeddings[:,0]\n",
"y = embeddings[:,1]\n",
"\n",
"x = x[labels>-1]\n",
"y = y[labels>-1]\n",
"\n",
"labels_nonoise = labels[labels>-1]\n",
"\n",
"x_noise = embeddings[:,0]\n",
"y_noise = embeddings[:,1]\n",
"\n",
"x_noise = x_noise[labels==-1]\n",
"y_noise = y_noise[labels==-1]"
]
},
{
"cell_type": "markdown",
"id": "4aa95d9b-a98d-4210-b4db-86cc7609f727",
"metadata": {},
"source": [
"We observe that the regions of high density where points are collected closely together have filled out nicely into clusters of various different shapes and sizes. We interpret the distances of points within their local neighborhoods in the following plot as being more similar than points in disconnected neighborhoods. It's not uncommon for UMAP to split neighborhoods that into multiple clusters even though HDBSCAN labeled them as a single cluster. This just implies that the neighborhoods of the points which are split are more similar to each other internally than they are across their multiple separated components."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "989bed81-51f3-4841-bc1c-80d3b9638c34",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe843d60410>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 800x560 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(10, 7), dpi=80)\n",
"plt.scatter(x.get(), y.get(), c=labels_nonoise.get(), s=0.1, cmap='gist_ncar')"
]
},
{
"cell_type": "markdown",
"id": "2321c511-c24e-489c-a084-5acfdb79b66f",
"metadata": {},
"source": [
"We can also visualize the noise"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "9f9c25e3-9740-4492-adcf-94284c64bcef",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe843cbd290>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x560 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(10, 7), dpi=80)\n",
"plt.scatter(x_noise.get(), y_noise.get(), s=0.001, cmap=\"gray\", alpha=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "4c9fc605-84be-4af3-99af-073ccbf4f84f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fe84237bfd0>]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"label_dist = cp.histogram(labels, bins=cp.unique(labels))\n",
"plt.plot(label_dist[1][:len(label_dist[0])-1].get(), label_dist[0][1:].get())"
]
},
{
"cell_type": "markdown",
"id": "c97fe24a-18c9-4ddc-a03e-65d2889c8e73",
"metadata": {},
"source": [
"Let's look at a few groups of terms that clustered together"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "9e13a190-908e-457d-b4b5-0c08c6ce39b6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cluster: 0, ['##th', 'fourth', 'fifth', 'sixth', 'seventh', 'eighth', 'ninth', '###th', '##st', '##nd']\n",
"Cluster: 1, ['miles', 'north', 'south', 'west', 'east', 'kilometers', 'km', 'northwest', 'northeast', 'southwest']\n",
"Cluster: 2, ['petitioner', 'Defendant', 'Plaintiff', 'Appellant', 'Petitioner', 'appellants', 'Id.']\n",
"Cluster: 3, ['memorial', 'cemetery', 'burial', 'graves', 'remembrance']\n",
"Cluster: 4, ['FPL', 'AEP', 'Progress_Energy', 'TXU', 'FirstEnergy', 'Ameren', 'ComEd', 'NIPSCO']\n",
"Cluster: 5, ['Officials', 'Students', 'Residents', 'Customers', 'Businesses', 'Activists']\n",
"Cluster: 6, ['gay', 'gay_marriage', 'gays', 'lesbian', 'homosexual', 'LGBT', 'lesbians', 'homosexuals']\n",
"Cluster: 7, ['borrowings', 'Common_Stock', 'Common_Shares', 'Senior_Notes', 'senior_unsecured', 'debentures', 'convertible_notes', 'Preferred_Stock', 'Debentures', 'convertible_debentures']\n",
"Cluster: 8, ['-#.#', '-1', '-2', '-3', '-4']\n",
"Cluster: 9, ['Supreme_Court', 'justices', 'Alito', 'appellate_court', 'Samuel_Alito']\n"
]
}
],
"source": [
"for c in range(0, 10):\n",
" print(\"Cluster: %s, %s\" % (c, [w.index_to_key[i] for i in cp.argwhere(labels==c)[:10,0].get()]))"
]
},
{
"cell_type": "markdown",
"id": "1a74728c-7e44-4a41-8855-50a1c5b25669",
"metadata": {},
"source": [
"We can also order them according to their probabilities (notice most probabilities are fairly large because the regions are already pretty dense)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "a9013c29-021f-4596-8465-878d42911c49",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cluster: 0, ['##th', 'fourth', 'fifth', 'sixth', 'seventh', 'eighth', 'ninth', '###th', '##st', '##nd']\n",
"Cluster: 1, ['miles', 'north', 'south', 'west', 'east', 'kilometers', 'km', 'northwest', 'northeast', 'southwest']\n",
"Cluster: 2, ['petitioner', 'Defendant', 'Plaintiff', 'Appellant', 'Petitioner', 'appellants', 'Id.']\n",
"Cluster: 3, ['memorial', 'cemetery', 'burial', 'graves', 'remembrance']\n",
"Cluster: 4, ['FPL', 'AEP', 'Progress_Energy', 'TXU', 'FirstEnergy', 'Ameren', 'ComEd', 'NIPSCO']\n",
"Cluster: 5, ['Officials', 'Students', 'Residents', 'Customers', 'Businesses', 'Activists']\n",
"Cluster: 6, ['gay', 'gay_marriage', 'gays', 'lesbian', 'homosexual', 'LGBT', 'lesbians', 'homosexuals']\n",
"Cluster: 7, ['borrowings', 'Common_Stock', 'Common_Shares', 'Senior_Notes', 'senior_unsecured', 'debentures', 'convertible_notes', 'Preferred_Stock', 'Debentures', 'convertible_debentures']\n",
"Cluster: 8, ['-#.#', '-1', '-2', '-3', '-4']\n",
"Cluster: 9, ['Supreme_Court', 'justices', 'Alito', 'appellate_court', 'Samuel_Alito']\n",
"Cluster: 10, ['Citigroup', 'Goldman_Sachs', 'Morgan_Stanley', 'UBS', 'Merrill_Lynch', 'Deutsche_Bank', 'HSBC', 'Credit_Suisse', 'JPMorgan', 'JP_Morgan']\n",
"Cluster: 11, ['CEO', 'chairman', 'vice_president', 'Director', 'Vice_President', 'managing_director', 'Executive_Director', 'Managing_Director', 'Senior_Vice', 'Executive_Vice']\n",
"Cluster: 12, ['Wal_Mart', 'Walmart', 'Kmart', 'Kroger', 'Costco', 'Nordstrom', 'JC_Penney']\n",
"Cluster: 13, ['drilling', 'mineralization', 'intersected', 'g_t_Au', 'drill_holes', 'g_t_gold', 'g_t', 'mineralized', 'molybdenum', 'gold_mineralization']\n",
"Cluster: 14, ['JB', 'JM', 'ML', 'JS', 'JL', 'JH']\n",
"Cluster: 15, ['Warner_Bros.', 'Lionsgate', 'DreamWorks', 'Paramount_Pictures', 'Sony_Pictures']\n",
"Cluster: 16, ['artist', 'painting', 'paintings', 'painter', 'sculptures', 'artworks', 'watercolors', 'Paintings', 'canvases']\n",
"Cluster: 17, ['loans', 'mortgage', 'lenders', 'mortgages', 'borrowers', 'foreclosures', 'subprime', 'mortgage_lenders']\n",
"Cluster: 18, ['plane', 'aircraft', 'planes', 'airplane', 'jets', 'Airbus_A###', 'aircrafts']\n",
"Cluster: 19, ['apartments', 'condo', 'condominium', 'condos', 'Apartments', 'condominiums', 'townhouse', 'townhomes', 'Condominiums', 'townhome']\n",
"Cluster: 20, ['fell', 'jumped', 'climbed', 'slipped', 'risen', 'surged', 'plunged', 'slid', 'soared', 'dipped']\n",
"Cluster: 21, ['school', 'students', 'teachers', 'elementary', 'Elementary', 'kindergarten', 'preschool', 'elementary_schools', 'eighth_grade', 'eighth_graders']\n",
"Cluster: 22, ['professor', 'Professor', 'scientist', 'researcher', 'Ph.D.', 'associate_professor', 'master_degree', 'PhD', 'assistant_professor', 'bachelor_degree']\n",
"Cluster: 23, ['gun', 'firearm', 'rifle', 'handgun', 'pistol', 'pistols', 'assault_rifle', '.##_caliber', '.##_caliber_handgun', 'gauge_shotgun']\n",
"Cluster: 24, ['#.####', 'yen', 'greenback', 'EUR_USD', 'downtrend', 'USD_JPY', '#.####/##', 'GBP_USD', 'EURUSD', 'Japanese_Yen']\n"
]
}
],
"source": [
"for c in range(0, 25):\n",
" indices = list(cp.argwhere(labels==c).get()[:,0])\n",
" sorted(indices, key=lambda x: 1 - hdbscan.probabilities_[x])\n",
" print(\"Cluster: %s, %s\" % (c, [w.index_to_key[i] for i in indices[:10]]))"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "feef9f85-bd3b-4fc8-8bd4-13d74505a5fa",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (rapidgenomics_090221)",
"language": "python",
"name": "rapidgenomics_090221"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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