{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Scalability\n", "\n", "The solution and estimation of finite-horizon discrete choice dynamic programming model appears straightforward. However, it entails a considerable computational burden due to the well known curse of dimensionality (Bellman and Dreyfus, 1962). The figure below illustrates how the total number of states increases exponentially with each period. The size of the state space is shown for Keane and Wolpin (1994) (all models have the same state space) and the base and extended model of Keane and Wolpin (1997). The latter two models are different because the state space of the base parameterization does not include information on the previous activity which significantly reduces the complexity of the model. Note that the y-axis us log-scaled to compensate for the loss in readability due to exponential growth." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "%matplotlib agg\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import respy as rp" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "plt.style.use(\"docs/_static/respy.mplstyle\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "def _get_states_per_period(model):\n", " params, options, _ = rp.get_example_model(model)\n", "\n", " # This is not the official API, but we do only need the state space.\n", " state_space = rp.state_space.StateSpace(params, options)\n", "\n", " states_per_period = [\n", " len(range(slice_.start, slice_.stop))\n", " for slice_ in state_space.slices_by_periods\n", " ]\n", "\n", " return states_per_period" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "nbsphinx": "hidden" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/data/homes/iza25808/respy/respy/pre_processing/model_processing.py:157: UserWarning: The shares of initial experiences for choice 'edu' do not sum to one. Shares are divided by their sum for normalization.\n", " category=UserWarning,\n" ] } ], "source": [ "models = [\"kw_94_one\", \"kw_97_base\", \"kw_97_extended\"]\n", "\n", "container = {}\n", "\n", "for model in models:\n", " container[model] = _get_states_per_period(model)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "labels = [\n", " \"Keane and Wolpin (1994)\",\n", " \"Keane and Wolpin (1997) - Base\",\n", " \"Keane and Wolpin (1997) - Extended\"\n", "]\n", "\n", "fig, ax = plt.subplots()\n", "\n", "for label, states_per_period in zip(labels, container.values()):\n", " n_states = sum(states_per_period)\n", " ax.semilogy(range(0, len(states_per_period)), states_per_period, label=label)\n", " \n", "ax.set_ylim(1e0, 1e7)\n", "\n", "ax.grid(which=\"both\", axis=\"y\")\n", "\n", "ax.set_xlabel(\"Period\")\n", "ax.set_ylabel(\"Number of states\")\n", "\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In total there are 317,367 states in Keane and Wolpin (1994), 12,991,208 states in Keane and Wolpin (1997) - Base and 59,306,140 states in Keane and Wolpin (1997) - Extended.\n", "\n", "During an estimation, thousands of different candidate parameterizations of the model are appraised with respect to the sample likelihood. For each evaluation of the likelihood the $n$-dimensional integral of $E\\max$ (where $n$ is the number of choices) needs to be approximated at all states. Below, we show the total computation time required for 1,000 evaluations of the criterion function as we increase the number of threads from two to twelve." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "data = \"\"\"\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 2, \"start\": \"2019-08-26 17:38:29.779205\", \"end\": \"2019-08-26 17:39:50.248813\", \"duration\": \"0:01:20.469608\"}\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 4, \"start\": \"2019-08-26 17:40:12.377112\", \"end\": \"2019-08-26 17:41:07.376235\", \"duration\": \"0:00:54.999123\"}\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 6, \"start\": \"2019-08-26 17:41:29.312806\", \"end\": \"2019-08-26 17:42:20.699365\", \"duration\": \"0:00:51.386559\"}\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 8, \"start\": \"2019-08-26 17:42:42.730035\", \"end\": \"2019-08-26 17:43:29.568749\", \"duration\": \"0:00:46.838714\"}\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 10, \"start\": \"2019-08-26 17:43:52.496852\", \"end\": \"2019-08-26 17:44:39.377107\", \"duration\": \"0:00:46.880255\"}\n", "{\"model\": \"kw_94_one\", \"maxfun\": 50, \"n_threads\": 12, \"start\": \"2019-08-26 17:45:01.743654\", \"end\": \"2019-08-26 17:45:44.754300\", \"duration\": \"0:00:43.010646\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 2, \"start\": \"2019-08-26 17:53:53.999918\", \"end\": \"2019-08-26 17:56:09.303005\", \"duration\": \"0:02:15.303087\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 4, \"start\": \"2019-08-26 17:59:03.115069\", \"end\": \"2019-08-26 18:00:26.045647\", \"duration\": \"0:01:22.930578\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 6, \"start\": \"2019-08-26 18:03:18.388000\", \"end\": \"2019-08-26 18:04:26.720110\", \"duration\": \"0:01:08.332110\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 8, \"start\": \"2019-08-26 18:07:14.577545\", \"end\": \"2019-08-26 18:08:12.402948\", \"duration\": \"0:00:57.825403\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 10, \"start\": \"2019-08-26 18:10:57.492809\", \"end\": \"2019-08-26 18:11:49.910569\", \"duration\": \"0:00:52.417760\"}\n", "{\"model\": \"kw_97_base\", \"maxfun\": 3, \"n_threads\": 12, \"start\": \"2019-08-26 18:14:32.824227\", \"end\": \"2019-08-26 18:15:22.644604\", \"duration\": \"0:00:49.820377\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 2, \"start\": \"2019-08-26 18:38:02.674008\", \"end\": \"2019-08-26 18:48:22.217274\", \"duration\": \"0:10:19.543266\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 4, \"start\": \"2019-08-26 19:05:13.122038\", \"end\": \"2019-08-26 19:11:25.247955\", \"duration\": \"0:06:12.125917\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 6, \"start\": \"2019-08-26 19:27:25.682803\", \"end\": \"2019-08-26 19:32:28.615169\", \"duration\": \"0:05:02.932366\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 8, \"start\": \"2019-08-26 19:48:37.839972\", \"end\": \"2019-08-26 19:53:05.588380\", \"duration\": \"0:04:27.748408\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 10, \"start\": \"2019-08-26 20:08:56.899445\", \"end\": \"2019-08-26 20:12:43.769137\", \"duration\": \"0:03:46.869692\"}\n", "{\"model\": \"kw_97_extended\", \"maxfun\": 3, \"n_threads\": 12, \"start\": \"2019-08-26 20:27:47.747498\", \"end\": \"2019-08-26 20:31:26.824969\", \"duration\": \"0:03:39.077471\"}\n", "\"\"\"" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "df = pd.read_json(data, lines=True, convert_dates=[\"start\", \"end\"])\n", "\n", "# Get duration for 1000 evaluations.\n", "df[\"duration\"] = df.end - df.start\n", "df[\"duration_1000_eval\"] = 1000 / df[\"maxfun\"] * df[\"duration\"]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "fig, ax = plt.subplots()\n", "\n", "for label, group in df.groupby(\"model\"):\n", " ax.semilogy(group.n_threads, group.duration_1000_eval.dt.total_seconds() / 60, label=label)\n", " \n", "ax.set_ylim(1e1, 1e4)\n", " \n", "ax.grid(which=\"both\", axis=\"y\")\n", "\n", "ax.set_xlabel(\"Number of threads\")\n", "ax.set_ylabel(\"Runtime (in Minutes)\")\n", " \n", "ax.legend([\n", " \"Keane and Wolpin (1994)\",\n", " \"Keane and Wolpin (1997) - Base\",\n", " \"Keane and Wolpin (1997) - Extended\",\n", "]);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding even more threads, however, does not lead to any further improvements.\n", "\n", "For more details, see the script [online](https://github.com/OpenSourceEconomics/respy/blob/main/development/documentation/scalability/scalability_setup.py) or the complete Jupyter notebook in the repository under ``docs/software/scalability.ipynb``." ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }