{ "cells": [ { "cell_type": "markdown", "id": "162b0687", "metadata": {}, "source": [ "# Grama: Model Evaluation\n", "\n", "*Purpose*: Once we've done the hard work of building a grama model, we can use a variety of tools to use the model. The primary way to use a grama model is to *evaluate* the mode to generate data, then use that data as a means to understand the model's behavior. We'll get to understanding soon, but first let's learn how to generate data using evaluation verbs.\n" ] }, { "cell_type": "markdown", "id": "f6b6231a", "metadata": {}, "source": [ "## Setup\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "7fd16122", "metadata": { "collapsed": false }, "outputs": [], "source": [ "import grama as gr\n", "DF = gr.Intention()\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "f3937a79", "metadata": {}, "source": [ "To focus this exercise on using models, let's load up a model to play with:\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "3d09636c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from grama.models import make_plate_buckle\n", "md_plate = make_plate_buckle()" ] }, { "cell_type": "markdown", "id": "bb33b042", "metadata": {}, "source": [ "# Evaluation\n", "\n", "Recall that there are four classes of verb in grama; *evaluation* verbs take a model as an input and produce data as an output. Once we've generated that data, we can use visualization and other data tools to learn something about the model.\n" ] }, { "cell_type": "markdown", "id": "a6f1e46a", "metadata": {}, "source": [ "\n", "![Grama verb class diagram](./images/verb-classes.png)\n" ] }, { "cell_type": "markdown", "id": "10fd442f", "metadata": {}, "source": [ "We'll discuss three \"subtypes\" of evaluations:\n", "\n", "- Manual input values - We specify the values for all of the inputs\n", "- Mixed manual & automatic - We specify values for a *subset* of the inputs; the verb sets the remainder\n", "- Automatic input values - The verb specifies all inputs values\n" ] }, { "cell_type": "markdown", "id": "0b0d5ae3", "metadata": {}, "source": [ "# Manual Input Values\n", "\n", "There are two core evaluations---`ev_df()` and `tf_md()`---that require us to specify all the input values. These are manual but fundamental tools for working with a model.\n", "\n", "## DataFrame evaluation `ev_df()`\n", "\n", "As the prefix implies, `ev_df()` takes a model as an input and returns data as an output. Since we need to specify all model input values, it is most convenient to pair `ev_df()` with the DataFrame constructor `df_make()`. Let's talk about some practical considerations when putting these tools together.\n" ] }, { "cell_type": "markdown", "id": "4b36eeed", "metadata": {}, "source": [ "### __q1__ Set the input values\n", "\n", "Use the `gr.ev_df()` verb with `gr.df_make()` to set input values for all the inputs of `md_plate`.\n", "\n", "*Hint*: Note that there are a lot of variable values to set! Remember that \"executing\" a model on its own prints the model summary; use this to your advantage to get a reminder for what inputs you need, and what values might be reasonable.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "acc840cd", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
mthwLEmuk_crg_buckle
010.0612120.00110000.00.334.00.921591
\n", "
" ], "text/plain": [ " m t h w L E mu k_cr g_buckle\n", "0 1 0.06 12 12 0.001 10000.0 0.33 4.0 0.921591" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# TASK: Complete the following code\n", "(\n", " md_plate\n", " >> gr.ev_df(\n", " df=gr.df_make(\n", " m=1,\n", " t=0.06,\n", " h=12,\n", " w=12,\n", " L=1e-3,\n", " E=1e4,\n", " mu=0.33,\n", " )\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "a60fee18", "metadata": {}, "source": [ "## Evaluation as transformation `tf_md()`\n", "\n", "Evaluations enter into a pipeline in a specific way: an evaluation takes a model and returns a DataFrame. In some cases, it is useful to be able to \"add\" the results of a model to a DataFrame as a transform. The `gr.tf_md()` helper serves this functionality.\n", "\n", "Let's look at an example using the following dataset:\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "df7c5a65", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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thickalloyEmuang
00.022al_24st106000.3210
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20.032al_24st104000.3290
30.032al_24st103000.3190
40.064al_24st105000.3230
50.064al_24st107000.3280
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" ], "text/plain": [ " thick alloy E mu ang\n", "0 0.022 al_24st 10600 0.321 0\n", "1 0.022 al_24st 10600 0.323 0\n", "2 0.032 al_24st 10400 0.329 0\n", "3 0.032 al_24st 10300 0.319 0\n", "4 0.064 al_24st 10500 0.323 0\n", "5 0.064 al_24st 10700 0.328 0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from grama.data import df_stang\n", "df_stang.head(6)" ] }, { "cell_type": "markdown", "id": "6361c233", "metadata": { "tags": [] }, "source": [ "### __q2__ Use a model as a transform\n", "\n", "Use `gr.tf_md()` to add model results to the following dataframe using `md_plate`.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "c6993b13", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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thickalloyEmuangmLthwk_crg_buckle
00.022al_24st106000.321010.0010.0612124.00.970579
10.022al_24st106000.323010.0010.0612124.00.971976
20.032al_24st104000.329010.0010.0612124.00.957800
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40.064al_24st105000.323010.0010.0612124.00.962794
.......................................
710.064al_24st104000.3279010.0010.0612124.00.956391
720.064al_24st105000.3209010.0010.0612124.00.960722
730.081al_24st99000.3149010.0010.0612124.00.901916
740.081al_24st100000.3169010.0010.0612124.00.912317
750.081al_24st99000.3149010.0010.0612124.00.901916
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76 rows × 12 columns

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" ], "text/plain": [ " thick alloy E mu ang m L t h w k_cr g_buckle\n", "0 0.022 al_24st 10600 0.321 0 1 0.001 0.06 12 12 4.0 0.970579\n", "1 0.022 al_24st 10600 0.323 0 1 0.001 0.06 12 12 4.0 0.971976\n", "2 0.032 al_24st 10400 0.329 0 1 0.001 0.06 12 12 4.0 0.957800\n", "3 0.032 al_24st 10300 0.319 0 1 0.001 0.06 12 12 4.0 0.941724\n", "4 0.064 al_24st 10500 0.323 0 1 0.001 0.06 12 12 4.0 0.962794\n", ".. ... ... ... ... ... .. ... ... .. .. ... ...\n", "71 0.064 al_24st 10400 0.327 90 1 0.001 0.06 12 12 4.0 0.956391\n", "72 0.064 al_24st 10500 0.320 90 1 0.001 0.06 12 12 4.0 0.960722\n", "73 0.081 al_24st 9900 0.314 90 1 0.001 0.06 12 12 4.0 0.901916\n", "74 0.081 al_24st 10000 0.316 90 1 0.001 0.06 12 12 4.0 0.912317\n", "75 0.081 al_24st 9900 0.314 90 1 0.001 0.06 12 12 4.0 0.901916\n", "\n", "[76 rows x 12 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " df_stang\n", " >> gr.tf_mutate(\n", " m=1,\n", " L=0.001,\n", " t=0.06,\n", " h=12,\n", " w=12,\n", " )\n", " >> gr.tf_md(md_plate)\n", ")" ] }, { "cell_type": "markdown", "id": "84b9533e", "metadata": {}, "source": [ "Full-manual evaluation is important, but other grama verbs provide useful ways to automatically select input values.\n" ] }, { "cell_type": "markdown", "id": "555eb9fc", "metadata": {}, "source": [ "# Mixed Manual & Automatic\n", "\n", "These verbs require that we set values for some of a model's inputs. This is most commonly split across the deterministic and random variables: We set specific values for the deterministic inputs, and the verb handles the random inputs.\n", "\n", "## Nominal Evaluation\n", "\n", "Sometimes it is useful to just get one set of \"typical\" values from a model. The `gr.ev_nominal()` verb provides this functionality.\n" ] }, { "cell_type": "markdown", "id": "03948a81", "metadata": {}, "source": [ "### __q3__ Evaluate at nominal values\n", "\n", "Use `gr.ev_nominal()` to evaluate `md_plate` at nominal input values.\n", "\n", "*Hint*: Consult the documentation to see how you can make a \"default\" choice for the deterministic inputs.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "abf3a133", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
EmuwmtLhk_crg_buckle
010344.7368420.32136312.03.00.0750.001612.011.1111114.116312
\n", "
" ], "text/plain": [ " E mu w m t L h k_cr g_buckle\n", "0 10344.736842 0.321363 12.0 3.0 0.075 0.0016 12.0 11.111111 4.116312" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " md_plate\n", " >> gr.ev_nominal(df_det=\"nom\")\n", ")" ] }, { "cell_type": "markdown", "id": "a646a94a", "metadata": {}, "source": [ "## Sweeps\n", "\n", "A key way to understand a model's behavior is to *sweep* through values of the inputs and study the effects on the outputs. We can do this manually by specifying a grid of points with `gr.df_grid()`, or automatically with `gr.ev_sinews()`.\n" ] }, { "cell_type": "markdown", "id": "7e9d1cd5", "metadata": {}, "source": [ "### __q4__ Manual sweeps\n", "\n", "Construct a manual sweep over values of `m` and `h`. Provide the values `m = [1, 2, 3]`, and sweep `h` between `6` and `12`.\n", "\n", "*Hint 1*: Remember that in the previous exercise we learned how to use `gr.df_grid()` and `gr.linspace()`. To construct grids of points.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "40637617", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " md_plate\n", " >> gr.ev_nominal(\n", " df_det=gr.df_grid(\n", " w=12,\n", " t=1/32,\n", " L=0.0016,\n", " m=[1, 2, 3],\n", " h=gr.linspace(6, 12, 10)\n", " )\n", " )\n", " \n", " >> gr.ggplot(gr.aes(\"h\", \"g_buckle\"))\n", " + gr.geom_line(gr.aes(color=\"factor(m)\"))\n", ")" ] }, { "cell_type": "markdown", "id": "3b459763", "metadata": {}, "source": [ "Note that you need to write a fair bit of code to produce a manual sweep. However, you also get complete control over which variables to sweep, and what ranges to consider.\n" ] }, { "cell_type": "markdown", "id": "6cd4d7fe", "metadata": {}, "source": [ "### __q5__ Automatic sweeps\n", "\n", "Use `gr.ev_sinews()` with `df_det=\"swp\"` to sweep all the inputs in the model. Visualize the results.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "5800b2e9", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calling plot_sinew_outputs....\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " md_plate\n", " >> gr.ev_sinews(df_det=\"swp\")\n", " >> gr.pt_auto()\n", ")" ] }, { "cell_type": "markdown", "id": "332a7b28", "metadata": {}, "source": [ "Note how little code you need to write with `gr.ev_sinews()`; this is an excellent way to quickly inspect a model's behavior. However, we don't get as much control with this verb as with a manual sweep.\n", "\n", "Automatic sweeps are useful for *exploring* a model, while manual sweeps are useful for getting more *specific* and especially for creating presentation-quality visuals to communicate results to others.\n" ] }, { "cell_type": "markdown", "id": "e110b14f", "metadata": {}, "source": [ "## Random Sampling\n", "\n", "Deterministic and random inputs are fundamentally different; deterministic inputs must be specified, while random inputs are fundamentally unknown in value. The verb `gr.ev_sample()` draws a random sample according to the random inputs, while handling the deterministic inputs according to the user's choice.\n" ] }, { "cell_type": "markdown", "id": "cc68502a", "metadata": {}, "source": [ "### __q6__ Evaluate a simple random sample\n", "\n", "Use `gr.ev_sample()` to draw a sample of size `100`. Use the nominal values for the deterministic inputs.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "dc3bc489", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eval_sample() is rounding n...\n" ] }, { "data": { "text/html": [ "
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EmuwmtLhk_crg_buckle
010445.4106440.32264412.03.00.0750.001612.011.1111114.160216
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410645.0850500.31900912.03.00.0750.001612.011.1111114.228763
..............................
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100 rows × 9 columns

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" ], "text/plain": [ " E mu w m t L h k_cr \\\n", "0 10445.410644 0.322644 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "1 10535.972880 0.327419 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "2 9963.545147 0.318756 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "3 10444.887996 0.321367 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "4 10645.085050 0.319009 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", ".. ... ... ... ... ... ... ... ... \n", "95 10219.180965 0.315176 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "96 10564.800804 0.330628 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "97 10400.542929 0.322074 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "98 10960.709770 0.320350 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "99 10335.834934 0.312982 12.0 3.0 0.075 0.0016 12.0 11.111111 \n", "\n", " g_buckle \n", "0 4.160216 \n", "1 4.210899 \n", "2 3.957197 \n", "3 4.156191 \n", "4 4.228763 \n", ".. ... \n", "95 4.048541 \n", "96 4.232439 \n", "97 4.140640 \n", "98 4.358362 \n", "99 4.088519 \n", "\n", "[100 rows x 9 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " md_plate\n", " >> gr.ev_sample(n=1e2, df_det=\"nom\")\n", ")" ] }, { "cell_type": "markdown", "id": "e1cbaf03", "metadata": {}, "source": [ "Like `gr.ev_sinews()`, the verb `gr.ev_nominal()` works with `gr.pt_auto()` to produce quick visuals of model behavior. Combined with the `skip` keyword, this allows us to study both the input and output behavior of the model.\n" ] }, { "cell_type": "markdown", "id": "a11de6d1", "metadata": {}, "source": [ "### __q7__ Skip evaluation\n", "\n", "Run the code below and inspect the output. Then add the keyword argument `skip=True` and re-run the code. Note the differences between the results. Answer the questions under *observations* below.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "49d93100", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eval_sample() is rounding n...\n", "Design runtime estimates unavailable; model has no timing data.\n", "Calling plot_scattermat....\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Warning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(\n", " md_plate\n", " >> gr.ev_sample(\n", " n=1e2, \n", " df_det=\"nom\",\n", " skip=True,\n", " )\n", " \n", " # NOTE: No need to edit\n", " >> gr.pt_auto()\n", ")" ] }, { "cell_type": "markdown", "id": "6f47098e", "metadata": {}, "source": [ "*Observations*\n", "\n", "- What values does `g_buckle` tend to take?\n", " - `g_buckle` tends to take values between 3.8 and 4.4\n", "- How are the values for inputs `E` and `mu` related?\n", " - `E` and `mu` are positively correlated\n" ] }, { "cell_type": "markdown", "id": "20132da8", "metadata": {}, "source": [ "## Sweep Plus Sampling\n", "\n", "Using `gr.ev_sample()` we can perform sweeps over deterministic inputs while sampling the random inputs. This follows similar code patterns to what we did with `gr.ev_nominal()`.\n" ] }, { "cell_type": "markdown", "id": "ca5da237", "metadata": {}, "source": [ "### __q8__ Sweeps with sampling\n", "\n", "Edit the code below to sweep over deterministic inputs, but sample the random inputs. Answer the questions under *observations* below.\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "4034a237", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eval_sample() is rounding n...\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " md_plate\n", "\n", " >> gr.ev_sample(\n", " n=1e2,\n", " df_det=gr.df_grid(\n", " w=12,\n", " t=1/32,\n", " L=0.0016,\n", " m=[1, 2, 3],\n", " h=gr.linspace(6, 12, 10)\n", " )\n", " )\n", " \n", " ## NOTE: No need to edit below; use to inspect results\n", " # Compute low, middle, high values at each m, h\n", " >> gr.tf_group_by(DF.m, DF.h)\n", " >> gr.tf_summarize(\n", " g_lo=gr.quant(DF.g_buckle, p=0.25),\n", " g_mu=gr.median(DF.g_buckle),\n", " g_hi=gr.quant(DF.g_buckle, p=0.75),\n", " )\n", " # Visualize\n", " >> gr.ggplot(gr.aes(\"h\", \"g_mu\", color=\"factor(m)\"))\n", " + gr.geom_ribbon(gr.aes(ymin=\"g_lo\", ymax=\"g_hi\"), fill=None)\n", " + gr.geom_line()\n", ")" ] }, { "cell_type": "markdown", "id": "06862683", "metadata": {}, "source": [ "*Observations*\n", "\n", "- How does the variability due to the random inputs (shown by width of bands) compare with variability due to the deterministic inputs (the curves).\n", " - The variability due to random inputs is much smaller than the variability due to deterministic inputs, but it is nonzero.\n" ] }, { "cell_type": "markdown", "id": "cc3a552b", "metadata": { "tags": [] }, "source": [ "# Automatic Input Values\n", "\n", "Other grama verbs do not require us to specify any input values. Here are a few examples.\n", "\n", "## Contour Evaluation\n", "\n", "In cases where we have just two inputs, we can construct contour plots of the output quantities. The verb `gr.ev_contour()` generates the data necessary for a contour plot.\n" ] }, { "cell_type": "markdown", "id": "6307f657", "metadata": {}, "source": [ "### __q9__ Visualize function contours\n", "\n", "Complete the arguments for `gr.ev_contour()` to generate contour data for the following model. Make sure to generate contours for both outputs `f` and `g`.\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "d03e70c7", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calling plot_contour....\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# TASK: Complete the contour evaluation arguments\n", "(\n", " # NOTE: No need to edit this model\n", " gr.Model(\"Contour Demo\")\n", " >> gr.cp_vec_function(\n", " fun=lambda df: gr.df_make(\n", " f=df.x**2 + df.y**2,\n", " g=df.x + df.y,\n", " ),\n", " var=[\"x\", \"y\"],\n", " out=[\"f\", \"g\"],\n", " )\n", " >> gr.cp_bounds(\n", " x=(-1, +1),\n", " y=(-1, +1),\n", " )\n", " \n", " # TASK: Complete the arguments for ev_contour()\n", " >> gr.ev_contour(\n", "\n", " var=[\"x\", \"y\"],\n", " out=[\"f\", \"g\"],\n", " )\n", " \n", " # NOTE: No need to edit; use to visualize\n", " >> gr.pt_auto()\n", ")" ] }, { "cell_type": "markdown", "id": "8b6b3572", "metadata": {}, "source": [ "*Note*: Contours are fundamentally two-input constructions. If your model has more than two inputs, you will need to specify manual values for the other inputs.\n" ] }, { "cell_type": "markdown", "id": "de669074", "metadata": {}, "source": [ "### __q10__ Find specific contour levels\n", "\n", "Use `gr.ev_contour()` to find the contour of `g` that is tangent to the contour where `f == 1`. \n", "\n", "You'll need to use the `levels` argument of `gr.ev_contour()` to do this, and it will take a bit of trial-and-error.\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "d3272739", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calling plot_contour....\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# TASK: Find the tangent contour of `g`\n", "df_contour = (\n", " # NOTE: No need to edit this model\n", " gr.Model(\"Contour Demo\")\n", " >> gr.cp_vec_function(\n", " fun=lambda df: gr.df_make(\n", " f=df.x**2 + df.y**2,\n", " g=df.x + df.y,\n", " ),\n", " var=[\"x\", \"y\"],\n", " out=[\"f\", \"g\"],\n", " )\n", " >> gr.cp_bounds(\n", " x=(0, +1),\n", " y=(0, +1),\n", " )\n", " \n", " # TASK: Use specific levels to find the tangent\n", " >> gr.ev_contour(\n", " var=[\"x\", \"y\"],\n", " out=[\"f\", \"g\"],\n", "\n", " levels=dict(\n", " f=[1],\n", " g=[1.25, 1.42, 1.45], # g == 1.42 is approximately correct\n", " )\n", " )\n", ")\n", "\n", "# NOTE: No need to edit; use to visualize\n", "gr.plot_auto(df_contour)" ] }, { "cell_type": "markdown", "id": "fb296b28", "metadata": {}, "source": [ "## Constrained Minimization\n", "\n", "As one last example of verbs that select automatic input values: Grama provides tools for constrained minimization, which determines the input values necessary to minimize an output quantity. The following code demonstrates how this works:\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "7d625f31", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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yxy_0x_0fgsuccessmessagen_iter
00.710.710.50.51.00821.776357e-15TrueOptimization terminated successfully3
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" ], "text/plain": [ " y x y_0 x_0 f g success \\\n", "0 0.71 0.71 0.5 0.5 1.0082 1.776357e-15 True \n", "\n", " message n_iter \n", "0 Optimization terminated successfully 3 " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NOTE: No need to edit\n", "df_opt = (\n", " # Set up a model\n", " gr.Model(\"Contour Demo\")\n", " >> gr.cp_vec_function(\n", " fun=lambda df: gr.df_make(\n", " f=df.x**2 + df.y**2,\n", " g=df.x + df.y - 1.42,\n", " ),\n", " var=[\"x\", \"y\"],\n", " out=[\"f\", \"g\"],\n", " )\n", " >> gr.cp_bounds(\n", " x=(0, +1),\n", " y=(0, +1),\n", " )\n", " \n", " # Minimize the objective with a constraint\n", " >> gr.ev_min(\n", " out_min=\"f\", # Output to minimize\n", " out_geq=[\"g\"], # Output constraint, g >= 0\n", " )\n", ")\n", "\n", "df_opt" ] }, { "cell_type": "markdown", "id": "fff2441a", "metadata": {}, "source": [ "As a brief aside, this minimization is related to the \"tangent\" problem above.\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "2bbdf88f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NOTE: No need to edit; this visualizes the optimization results\n", "# in the context of the contour data\n", "(\n", " df_contour\n", " >> gr.ggplot(gr.aes(\"x\", \"y\"))\n", " + gr.geom_segment(\n", " gr.aes(\n", " xend=\"x_end\", \n", " yend=\"y_end\",\n", " color=\"level\",\n", " linetype=\"out\",\n", " )\n", " )\n", " + gr.geom_point(data=df_opt, size=4)\n", ")" ] }, { "cell_type": "markdown", "id": "7765435b", "metadata": { "jp-MarkdownHeadingCollapsed": true, "tags": [] }, "source": [ "# List of evaluation routines\n", "\n", "For your reference, here are a few of the evaluation verbs, sorted by how they handle input values and with a brief description.\n", "\n", "| Verb | Input values | Description |\n", "|------|-------|-------------|\n", "| `ev_df()` | Manual | DataFrame evaluation |\n", "| `tf_md()` | Manual | Model as transformation |\n", "| `ev_nominal()` | Mixed | Nominal values for random inputs |\n", "| `ev_sample()` | Mixed | Random values for random inputs |\n", "| `ev_conservative()` | Mixed | Conservative values for random inputs |\n", "| `ev_contour()` | Auto | Generate contour plot data |\n", "| `ev_sinews()` | Auto | Generate sinew plot data |\n", "| `ev_min()` | Auto | Constrained minimization |\n" ] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }