diff --git a/.bumpversion.cfg b/.bumpversion.cfg index bed785b..283b36b 100644 --- a/.bumpversion.cfg +++ b/.bumpversion.cfg @@ -4,3 +4,4 @@ commit = True tag = True [bumpversion:file:setup.cfg] +[bumpversion:file:k_means_constrained/__init__.py] \ No newline at end of file diff --git a/README.md b/README.md index 2663991..86443f6 100644 --- a/README.md +++ b/README.md @@ -80,3 +80,38 @@ clf.labels_ ``` + +# Time complexity and runtime + +k-means-constrained is a more complex algorithm than vanilla k-means and therefore will take longer to execute and has worse scaling characteristics. + +Given a number of data points $n$ and clusters $c$, the time complexity of: +* k-means: $\mathcal{O}(nc)$ +* k-means-constrained1: $\mathcal{O}((n^3c+n^2c^2+nc^3)\log(n+c)))$ + +This assumes a constant number of algorithm iterations and data-point features/dimensions. + +If you consider the case where $n$ is the same order as $c$ ($n \backsim c$) then: +* k-means: $\mathcal{O}(n^2)$ +* k-means-constrained1: $\mathcal{O}(n^4\log(n)))$ + +Below is a runtime comparison between k-means and k-means-constrained whereby the number of iterations, initializations, multi-process pool size and dimension size are fixed. The number of clusters is also always one-tenth the number of data points $n=10c$. It is shown above that the runtime is independent of the minimum or maximum cluster size, and so none is included below. + +![Data-points vs execution time for k-means vs k-means-constrained. Data-points=10*clusters. No min/max constraints](https://raw.githubusercontent.com/joshlk/k-means-constrained/master/ect/execution_time.png) + +
+ System details + +* OS: Linux-5.15.0-75-generic-x86_64-with-glibc2.35 +* CPU: AMD EPYC 7763 64-Core Processor +* CPU cores: 120 +* k-means-constrained version: 0.7.3 +* numpy version: 1.24.2 +* scipy version: 1.11.1 +* ortools version: 9.6.2534 +* joblib version: 1.3.1 +* sklearn version: 1.3.0 +
+--- + +1: [Ortools notes](https://developers.google.com/optimization/reference/graph/min_cost_flow) states the time complexity of their cost-scaling push-relabel algorithm for the min-cost flow problem as $\mathcal{O}(n^2m\log(nC))$ where $n$ is the number of nodes, $m$ is the number of edges and $C$ is the maximum absolute edge cost. diff --git a/etc/benchmark.ipynb b/etc/benchmark.ipynb new file mode 100644 index 0000000..9b7cd81 --- /dev/null +++ b/etc/benchmark.ipynb @@ -0,0 +1,369 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import psutil\n", + "from subprocess import PIPE\n", + "import shlex\n", + "from time import sleep\n", + "import regex\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def run_km_constrained(n, d, k, min_clusters=None, max_clusters=None):\n", + " cmd = f'./benchmark_k_means_constrained.py -n {n} -d {d} -K {k}'\n", + " if min_clusters:\n", + " cmd += f' -ge {min_clusters}'\n", + " if max_clusters:\n", + " cmd += f' -le {max_clusters}'\n", + " p = psutil.Popen(shlex.split(cmd), stdout=PIPE)\n", + " peak_mem = 0\n", + " output = \"\"\n", + " while p.is_running():\n", + " sleep(0.1) # Sample frequency\n", + " # \"Resident Set Size\"/physical memory used in bytes\n", + " peak_mem = max(p.memory_info().rss, peak_mem)\n", + " output += str(p.communicate()[0])\n", + "\n", + " # Time\n", + " time = regex.search(r'Total time: (\\d*\\.\\d*) seconds', output)\n", + " try:\n", + " time = float(time.groups()[0])\n", + " except AttributeError:\n", + " print('k-means-constrained failed:', cmd)\n", + " return None, float(peak_mem)\n", + " return time, float(peak_mem)\n", + "\n", + "def run_km(n, d, k):\n", + " cmd = f'./benchmark_k_means.py -n {n} -d {d} -K {k}'\n", + " p = psutil.Popen(shlex.split(cmd), stdout=PIPE)\n", + " peak_mem = 0\n", + " output = \"\"\n", + " while p.is_running():\n", + " sleep(0.1) # Sample frequency\n", + " # \"Resident Set Size\"/physical memory used in bytes\n", + " peak_mem = max(p.memory_info().rss, peak_mem)\n", + " output += str(p.communicate()[0])\n", + "\n", + " # Time\n", + " \n", + " time = regex.search(r'Total time: (\\d*\\.\\d*) seconds', output)\n", + " try:\n", + " time = float(time.groups()[0])\n", + " except AttributeError:\n", + " print('k-means failed:', cmd)\n", + " return None, float(peak_mem)\n", + " return time, float(peak_mem)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.34, 21581824.0)" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "run_km_constrained(10, 2, 4, min_clusters=1, max_clusters=8)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.03, 21663744.0)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "run_km(10, 2, 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "k-means: 10it [00:27, 2.73s/it]\n", + "k-means-constrained: 10it [04:26, 26.64s/it]\n" + ] + } + ], + "source": [ + "# Fixed x and d. Increase cluster size (no min or max)\n", + "k = [1, 10, 25, 50, 75, 100, 250, 500, 750, 1000]\n", + "x = [10*ki for ki in k]\n", + "d = 10\n", + "min_clusters = None\n", + "max_clusters = None\n", + "km_time, km_mem = list(zip(*[run_km(xi, d, ki) for ki, xi in tqdm(zip(k, x), desc='k-means')]))\n", + "con_time, con_mem = list(zip(*[run_km_constrained(xi, d, ki) for ki, xi in tqdm(zip(k, x), desc='k-means-constrained')]))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots(1, 1, figsize=(5, 5), dpi=130)\n", + "\n", + "ax1.plot(x, km_time, label='k-means')\n", + "ax1.plot(x, con_time, label='k-means-constrained')\n", + "\n", + "ax1.set_xlabel('x: number of data-points')\n", + "ax1.set_ylabel('Time (s)')\n", + "ax1.set_title('Data-points vs execution time.\\nData-points=10*clusters. No min/max constraints')\n", + "ax1.legend()\n", + "\n", + "plt.tight_layout()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", + "\n", + "ax1.plot(x, km_time, label='k-means')\n", + "ax1.plot(x, con_time, label='k-means-constrained')\n", + "\n", + "ax1.set_xlabel('x: number of data-points')\n", + "ax1.set_ylabel('Time (s)')\n", + "#ax1.set_title('First Plot')\n", + "ax1.legend()\n", + "\n", + "ax2.plot(x, km_mem, label='k-means')\n", + "ax2.plot(x, con_mem, label='k-means-constrained')\n", + "\n", + "ax2.set_xlabel('x: number of data-points')\n", + "ax2.set_ylabel('Peak memory (bytes)')\n", + "#ax2.set_title('Second Plot')\n", + "ax2.legend()\n", + "\n", + "plt.tight_layout()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "k-means-constrained: 100%|██████████| 8/8 [03:26<00:00, 25.77s/it]\n" + ] + } + ], + "source": [ + "# Fixed x, d, k. Increase min_cluster\n", + "x = 10000\n", + "d = 10\n", + "k = 10 #list(range(1, x//2, 10))\n", + "min_clusters = [1, 10, 50, 100, 250, 500, 750, 1000]\n", + "max_clusters = None\n", + "#km_time, km_mem = list(zip(*[run_km(x, d, k)]))\n", + "con_time, con_mem = list(zip(*[run_km_constrained(x, d, k, min_clusters=mc) for mc in tqdm(min_clusters, desc='k-means-constrained')]))" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", + "\n", + "ax1.plot(min_clusters, con_time, label='k-means-constrained')\n", + "\n", + "ax1.set_xlabel('Min cluster size')\n", + "ax1.set_ylabel('Time (s)')\n", + "#ax1.set_title('First Plot')\n", + "ax1.legend()\n", + "\n", + "ax2.plot(min_clusters, con_mem, label='k-means-constrained')\n", + "\n", + "ax2.set_xlabel('Min cluster size')\n", + "ax2.set_ylabel('Peak memory (bytes)')\n", + "#ax2.set_title('Second Plot')\n", + "ax2.legend()\n", + "\n", + "plt.tight_layout()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "k-means-constrained: 100%|██████████| 9/9 [13:45<00:00, 91.77s/it] \n" + ] + } + ], + "source": [ + "# Fixed x, d, k. Increase max_cluster\n", + "x = 10000\n", + "d = 10\n", + "k = 100 #list(range(1, x//2, 10))\n", + "min_clusters = None\n", + "max_clusters = [100, 250, 500, 750, 1000, 2500, 5000, 7500, 10000]\n", + "#km_time, km_mem = list(zip(*[run_km(x, d, k)]))\n", + "con_time, con_mem = list(zip(*[run_km_constrained(x, d, k, max_clusters=mc) for mc in tqdm(max_clusters, desc='k-means-constrained')]))" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", + "\n", + "ax1.plot(max_clusters, con_time, label='k-means-constrained')\n", + "\n", + "ax1.set_xlabel('Max cluster size')\n", + "ax1.set_ylabel('Time (s)')\n", + "#ax1.set_title('First Plot')\n", + "ax1.legend()\n", + "\n", + "ax2.plot(max_clusters, con_mem, label='k-means-constrained')\n", + "\n", + "ax2.set_xlabel('Max cluster size')\n", + "ax2.set_ylabel('Peak memory (bytes)')\n", + "#ax2.set_title('Second Plot')\n", + "ax2.legend()\n", + "\n", + "plt.tight_layout()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.10.6" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/etc/benchmark_k_means.py b/etc/benchmark_k_means.py new file mode 100755 index 0000000..5383f5a --- /dev/null +++ b/etc/benchmark_k_means.py @@ -0,0 +1,53 @@ +#!/usr/bin/env python3 + +from argparse import ArgumentParser +from sklearn.cluster import KMeans +import numpy as np +import time +import os + +p = ArgumentParser() +p.add_argument("-n", "--data-points", required=True, type=int, help="Number of data-points") +p.add_argument("-d", "--dimensions", required=True, type=int, help="Number of dimensions/features each data-point has") +p.add_argument("-K", "--clusters", required=True, type=int, help="Number of clusters") +p.add_argument("-ge", "--min-cluster-size", default=None, help="Minimum number of clusters assigned to each data-point") +p.add_argument("-le", "--max-cluster-size", default=None, help="Maximum number of clusters assigned to each data-point") +p.add_argument("-s", "--seed", type=int, default=42, help="Random state seed") +p.add_argument("-i", "--info", action='store_true', default=False , help="Print system info. `cpuinfo` is required to be installed.") +args = p.parse_args() + +print(f"K-means benchmark: data-points={args.data_points}, dimensions={args.dimensions}, clusters={args.clusters}, min-cluster-size={args.min_cluster_size}, max-cluster-size={args.max_cluster_size}, seed={args.seed}") + +if args.info: + import scipy, ortools, joblib, platform, cpuinfo, sklearn, k_means_constrained + print(f"OS: {platform.platform()}") + print(f"CPU: {cpuinfo.get_cpu_info()['brand_raw']}") + print(f"CPU cores: {cpuinfo.get_cpu_info()['count']}") + print(f"k-means-constrained version: {k_means_constrained.__version__}") + print(f"numpy version: {np.__version__}") + print(f"scipy version: {scipy.__version__}") + print(f"ortools version: {ortools.__version__}") + print(f"joblib version: {joblib.__version__}") + print(f"sklearn version: {sklearn.__version__}") + +np.random.seed(args.seed) + +X = np.random.rand(args.data_points, args.dimensions) + +os.environ['OMP_NUM_THREADS'] = '10' # Used instead of joblib/n_jobs in latest version of sklearn + +t = time.perf_counter() +clf = KMeans( + n_clusters=args.clusters, + random_state=args.seed+1, + algorithm='lloyd', + init='k-means++', + n_init=10, + max_iter=300, + tol=0.0001, + ) +clf.fit_predict(X) + +total_time = time.perf_counter() - t +print(f"Total time: {total_time:.2f} seconds") + diff --git a/etc/benchmark_k_means_constrained.py b/etc/benchmark_k_means_constrained.py new file mode 100755 index 0000000..09073d5 --- /dev/null +++ b/etc/benchmark_k_means_constrained.py @@ -0,0 +1,60 @@ +#!/usr/bin/env python3 + +from argparse import ArgumentParser +import k_means_constrained +import numpy as np +import time +import logging +import os + +p = ArgumentParser() +p.add_argument("-n", "--data-points", required=True, type=int, help="Number of data-points") +p.add_argument("-d", "--dimensions", required=True, type=int, help="Number of dimensions/features each data-point has") +p.add_argument("-K", "--clusters", required=True, type=int, help="Number of clusters") +p.add_argument("-ge", "--min-cluster-size", default=None, help="Minimum number of clusters assigned to each data-point") +p.add_argument("-le", "--max-cluster-size", default=None, help="Maximum number of clusters assigned to each data-point") +p.add_argument("-s", "--seed", type=int, default=42, help="Random state seed") +p.add_argument("-i", "--info", action='store_true', default=False , help="Print system info. `cpuinfo` is required to be installed.") +args = p.parse_args() + + +logging.basicConfig( + level=os.environ.get('LOGLEVEL', 'DEBUG').upper() +) + +print(f"K-mean-constrained benchmark: data-points={args.data_points}, dimensions={args.dimensions}, clusters={args.clusters}, min-cluster-size={args.min_cluster_size}, max-cluster-size={args.max_cluster_size}, seed={args.seed}") + +if args.info: + import scipy, ortools, joblib, platform, cpuinfo, sklearn, k_means_constrained + print(f"OS: {platform.platform()}") + print(f"CPU: {cpuinfo.get_cpu_info()['brand_raw']}") + print(f"CPU cores: {cpuinfo.get_cpu_info()['count']}") + print(f"k-means-constrained version: {k_means_constrained.__version__}") + print(f"numpy version: {np.__version__}") + print(f"scipy version: {scipy.__version__}") + print(f"ortools version: {ortools.__version__}") + print(f"joblib version: {joblib.__version__}") + print(f"sklearn version: {sklearn.__version__}") + +np.random.seed(args.seed) + +X = np.random.rand(args.data_points, args.dimensions) + +t = time.perf_counter() +clf = k_means_constrained.KMeansConstrained( + n_clusters=args.clusters, + size_min=int(args.min_cluster_size) if args.min_cluster_size else None, + size_max=int(args.max_cluster_size) if args.max_cluster_size else None, + random_state=args.seed+1, + #algorithm='lloyd', # implied + init='k-means++', + n_init=10, + max_iter=300, + tol=0.0001, + n_jobs=10, + ) +clf.fit_predict(X) + +total_time = time.perf_counter() - t +print(f"Total time: {total_time:.2f} seconds") + diff --git a/ect/cython_benchmark.ipynb b/etc/cython_benchmark.ipynb similarity index 100% rename from ect/cython_benchmark.ipynb rename to etc/cython_benchmark.ipynb diff --git a/etc/execution_time.png b/etc/execution_time.png new file mode 100644 index 0000000..25e49b1 Binary files /dev/null and b/etc/execution_time.png differ diff --git a/k_means_constrained/__init__.py b/k_means_constrained/__init__.py index 1352bfd..16f166b 100644 --- a/k_means_constrained/__init__.py +++ b/k_means_constrained/__init__.py @@ -1,5 +1,6 @@ __all__ = ['KMeansConstrained'] +__version__ = '0.7.3' from .k_means_constrained_ import KMeansConstrained diff --git a/k_means_constrained/k_means_constrained_.py b/k_means_constrained/k_means_constrained_.py index 81333e4..46e7e0e 100644 --- a/k_means_constrained/k_means_constrained_.py +++ b/k_means_constrained/k_means_constrained_.py @@ -483,8 +483,7 @@ def solve_min_cost_flow_graph(edges, costs, capacities, supplies, n_C, n_X): min_cost_flow.add_arcs_with_capacity_and_unit_cost(edges[:, 0], edges[:, 1], capacities, costs) # Add node supplies - for count, supply in enumerate(supplies): - min_cost_flow.set_node_supply(count, supply) + min_cost_flow.set_nodes_supplies(np.arange(len(supplies)), supplies) # Find the minimum cost flow between node 0 and node 4. if min_cost_flow.solve() != min_cost_flow.OPTIMAL: