{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Validation metrics and plots"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Load packages\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import xarray as xr\n",
"\n",
"import poligrain as plg"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Preparing the data sets\n",
"\n",
"So far this notebook only covers the comparison between CML and radar. \n",
"*Note: the functions should in principle be able to handle validation with another (point based) sensor too, provided that the data has been correctly coupled to the CML data before hand.*\n",
"\n",
"### Load CML and radar data\n",
"Following the example from [`Get_grid_at_lines_and_points.ipynb`](https://github.com/OpenSenseAction/poligrain/blob/main/docs/notebooks/Get_grid_at_lines_and_points.ipynb), we use CML data that has already been processed to include path-averaged rainfall rate (see how that is done [here](https://github.com/OpenSenseAction/merging_prototype/blob/9cd018be263a8f5ae38bb28c1f768b353d97ffbc/radar_cml_gauge_merge_prototype.ipynb)). "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Load datasets\n",
"ds_cmls = xr.open_dataset(\"data/openMRG_cmls_20150827_12hours.nc\")\n",
"ds_radar = xr.open_dataset(\"data/openMRG_example_rad_20150827_90minutes.nc\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Resample CML data\n",
"\n",
"*Note: the validation functions used in this notebook often take two arrays as input, one for the reference (radar) and one for the estimates (CMLs). The functions do not ensure that the temporal resolution matches, nor that the temporal alignment between the radar and CMLs is correct.* \n",
"***It is the users responsibility to do this before the data is used in the functions.*** \n",
"*Below we show an example of how to do this for the sample data used in this notebook.* \n",
"\n",
"The radar data is in 5 minute intervals, and the CML data in 1 minute intervals, so we resample the CML data to 5 minutes. \n",
"Both CML and radar rainfall rate are already in mm/hr, so need to do any transformation here. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"ds_cmls_5m = ds_cmls.R.resample(time=\"5min\", label=\"right\").mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Get one radar value for each CML value\n",
"We want to compare the radar estimates along the line with the CML based rainfall estimates on a point to point basis. We therefore need to make sure that we use the same time period. \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"get_grid_at_lines = plg.spatial.GridAtLines(\n",
" da_gridded_data=ds_radar,\n",
" ds_line_data=ds_cmls_5m,\n",
" # we did not reproject the coordinates in this notebook, hence we use lon-lat\n",
" # which gives distoted lengths calculations, but is okay in this example.\n",
" use_lon_lat=True,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"radar_along_cml = get_grid_at_lines(da_gridded_data=ds_radar.rainfall)\n",
"\n",
"ds_cmls_5m = ds_cmls_5m.where(ds_cmls_5m.time.isin(radar_along_cml.time), drop=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we need to make sure that for each sub-link, there is a radar rainfall estimate to compare to. For simplicity we just take the first of the two sub-links (i.e. sub-link 0). Note that there should not be much difference between the two sub-links since they cover the same path, but at slighlty different frequencies. \n",
"\n",
"Finally, for this data set each sublink item has shape cml_id\\*time (364\\*19) whereas the radar\\_along\\_cml data has shape (19\\*364), so we transpose the radar data."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"sublink_0 = ds_cmls_5m.isel(sublink_id=0)\n",
"\n",
"cmls_flattened = sublink_0.to_numpy().flatten()\n",
"\n",
"radar_flattened = radar_along_cml.to_numpy().T.flatten()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we want to use both sub-links in the dataset at the same time to compare to the radar data we can do that as follows: "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"sublink_0 = ds_cmls_5m.isel(sublink_id=0)\n",
"sublink_1 = ds_cmls_5m.isel(sublink_id=1)\n",
"\n",
"cmls_flattened_duo = np.concatenate(\n",
" [sublink_0.to_numpy().flatten(), sublink_1.to_numpy().flatten()]\n",
")\n",
"\n",
"radar_flattened_duo = np.tile(radar_along_cml.to_numpy().T.flatten(), 2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize the validation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we set a threshold. Any value below this is not plotted. This can be the same or different for the reference and estimated rainfall intensities. \n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"threshold = 0.1 # mm/h"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" ax=ax,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By plotting two scatter plots with different thresholds next to each other we can nicely see the effect the threshold has. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Threshold = 5 mm/h')"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened,\n",
" ref_thresh=1,\n",
" est_thresh=1,\n",
" ax=ax[0],\n",
")\n",
"ax[0].set_title(\"Threshold = 1 mm/h\")\n",
"\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened,\n",
" ref_thresh=5,\n",
" est_thresh=5,\n",
" ax=ax[1],\n",
")\n",
"ax[1].set_title(\"Threshold = 5 mm/h\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also adapt the layout of the plot, such as the colorscheme and the labels. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" ax=ax,\n",
")\n",
"\n",
"ax.set_ylabel(\"Different y_label\")\n",
"\n",
"# change colormap and label\n",
"hx.set_cmap(\"Blues\")\n",
"hx.colorbar.set_label(\"Different colorbar label\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Calculate validation metrics\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following functions calculate some rainfall metrics. By setting the thresholds we can ensure we get the metrics corresponding to the data plotted in the scatter density plots above. \n",
"\n",
"Note that the units in the outputted rainfall metrics dictionary will depend on the units of the input array! Most probably mm/h or mm."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'ref_thresh': 0.1,\n",
" 'est_thresh': 0.1,\n",
" 'pearson_correlation_coefficient': np.float64(0.18801729902100803),\n",
" 'coefficient_of_variation': np.float64(3.3112926123357327),\n",
" 'root_mean_square_error': np.float64(8.557064854089502),\n",
" 'mean_absolute_error': np.float64(4.33235119817323),\n",
" 'percent_bias': np.float64(68.03124873073267),\n",
" 'reference_mean_rainfall': np.float64(2.5313343675729216),\n",
" 'estimate_mean_rainfall': np.float64(4.253432747382974),\n",
" 'false_positive_mean_rainfall': np.float64(1.5879088729016786),\n",
" 'false_negative_mean_rainfall': np.float64(1.3919088136037072),\n",
" 'N_all': 6916,\n",
" 'N_nan': np.int64(190),\n",
" 'N_nan_ref': np.int64(0),\n",
" 'N_nan_est': np.int64(190)}"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"threshold = 0.1\n",
"\n",
"rainfall_metrics = plg.validation.calculate_rainfall_metrics(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
")\n",
"\n",
"rainfall_metrics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Just as in the calculation of the rainfall metrics the wet-dry metrics will depend on the threshold given. The default is zero. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'matthews_correlation_coefficient': np.float64(0.4052033743232488),\n",
" 'true_positive_ratio': np.float64(0.6388291003013344),\n",
" 'true_negative_ratio': np.float64(0.7995192307692308),\n",
" 'false_positive_ratio': np.float64(0.20048076923076924),\n",
" 'false_negative_ratio': np.float64(0.3611708996986655),\n",
" 'N_dry_ref': np.int64(2080),\n",
" 'N_wet_ref': np.int64(4646),\n",
" 'N_tp': np.int64(2968),\n",
" 'N_tn': np.int64(1663),\n",
" 'N_fp': np.int64(417),\n",
" 'N_fn': np.int64(1678),\n",
" 'N_all': 6916,\n",
" 'N_nan': np.int64(190),\n",
" 'N_nan_ref': np.int64(0),\n",
" 'N_nan_est': np.int64(190)}"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"wet_dry_metrics = plg.validation.calculate_wet_dry_metrics(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
")\n",
"\n",
"wet_dry_metrics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, combining all the functions we have used so far, we can for example compare the difference in metrics between the two sublinks, and add these to the scatter density plots. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.95, 0.55, 'pearson r: 0.18\\nrmse: 8.44 mm/h\\nbias: 65.57%\\nN points: 6916\\nN nans: 190')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"threshold = 0.1\n",
"\n",
"sublink_1 = ds_cmls_5m.isel(sublink_id=1)\n",
"cmls_flattened_1 = sublink_1.to_numpy().flatten()\n",
"\n",
"rainfall_metrics = plg.validation.calculate_rainfall_metrics(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
")\n",
"\n",
"rainfall_metrics_1 = plg.validation.calculate_rainfall_metrics(\n",
" reference=radar_flattened, # we still compare to the same reference\n",
" estimate=cmls_flattened_1,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
")\n",
"\n",
"# plotting the scatter density plots\n",
"fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" ax=ax[0],\n",
")\n",
"ax[0].set_title(\"Sub-link 0\")\n",
"\n",
"hx = plg.validation.plot_hexbin(\n",
" radar_flattened,\n",
" cmls_flattened_1,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" ax=ax[1],\n",
")\n",
"ax[1].set_title(\"Sub-link 1\")\n",
"\n",
"# adding metrics to the plot for subplot 0\n",
"plotted_metrics = (\n",
" f\"pearson r: {np.round(rainfall_metrics['pearson_correlation_coefficient'], 2)}\\n\"\n",
" f\"rmse: {np.round(rainfall_metrics['root_mean_square_error'], 2)} mm/h\\n\"\n",
" f\"bias: {np.round(rainfall_metrics['percent_bias'], 2)}%\\n\"\n",
" f\"N points: {rainfall_metrics['N_all']}\\n\"\n",
" f\"N nans: {rainfall_metrics['N_nan']}\"\n",
")\n",
"\n",
"ax[0].text(\n",
" 0.95,\n",
" 0.55,\n",
" plotted_metrics,\n",
" fontsize=8,\n",
" transform=ax[0].transAxes,\n",
" verticalalignment=\"center\",\n",
" horizontalalignment=\"right\",\n",
" bbox={\"facecolor\": \"white\", \"alpha\": 0.8},\n",
")\n",
"\n",
"# adding metrics to the plot for subplot 1\n",
"plotted_metrics_1 = (\n",
" f\"pearson r: {np.round(rainfall_metrics_1['pearson_correlation_coefficient'], 2)}\\n\"\n",
" f\"rmse: {np.round(rainfall_metrics_1['root_mean_square_error'], 2)} mm/h\\n\"\n",
" f\"bias: {np.round(rainfall_metrics_1['percent_bias'], 2)}%\\n\"\n",
" f\"N points: {rainfall_metrics_1['N_all']}\\n\"\n",
" f\"N nans: {rainfall_metrics_1['N_nan']}\"\n",
")\n",
"\n",
"ax[1].text(\n",
" 0.95,\n",
" 0.55,\n",
" plotted_metrics_1,\n",
" fontsize=8,\n",
" transform=ax[1].transAxes,\n",
" verticalalignment=\"center\",\n",
" horizontalalignment=\"right\",\n",
" bbox={\"facecolor\": \"white\", \"alpha\": 0.8},\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Print pretty table with verification metrics\n",
"Simply printing the metrics like above looks a little bit messy, so we can call the function ```print_metrics_table``` that prints each of the items from the metrics dictionaries into a prettier table. \n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Verification metrics:\\n\\n+=================================+===============+==========+\\n| Metric | Value | Units |\\n+=================================+===============+==========+\\n| Reference rainfall threshold | 0.1 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Estimate rainfall threshold | 0.1 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Pearson correlation coefficient | 0.188 | [-] |\\n+---------------------------------+---------------+----------+\\n| Coefficient of variation | 3.311 | [-] |\\n+---------------------------------+---------------+----------+\\n| Root mean square error | 8.557 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Mean absolute error | 4.332 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Percent bias | 68.031 | [%] |\\n+---------------------------------+---------------+----------+\\n| Mean reference rainfall | 2.53 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Mean estimated rainfall | 4.25 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| False positive mean rainfall | 1.59 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| False negative mean rainfall | 1.39 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Total data points | 6916 | [-] |\\n+---------------------------------+---------------+----------+\\n| Total nans | 190 | [-] |\\n+---------------------------------+---------------+----------+\\n| Number of nans in reference | 0 | [-] |\\n+---------------------------------+---------------+----------+\\n| Number of nans in estimate | 190 | [-] |\\n+---------------------------------+---------------+----------+'"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plg.validation.print_metrics_table(rainfall_metrics)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Or alternatively, if we only want to print a subset of the rainfall metrics: "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Verification metrics:\\n\\n+=================================+===============+==========+\\n| Metric | Value | Units |\\n+=================================+===============+==========+\\n| Reference rainfall threshold | 0.1 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Estimate rainfall threshold | 0.1 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Pearson correlation coefficient | 0.188 | [-] |\\n+---------------------------------+---------------+----------+\\n| Coefficient of variation | 3.311 | [-] |\\n+---------------------------------+---------------+----------+\\n| Root mean square error | 8.557 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Mean absolute error | 4.332 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Percent bias | 68.031 | [%] |\\n+---------------------------------+---------------+----------+\\n| Mean reference rainfall | 2.53 | [mm/h] |\\n+---------------------------------+---------------+----------+\\n| Mean estimated rainfall | 4.25 | [mm/h] |\\n+---------------------------------+---------------+----------+'"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"metrics_subset = {\n",
" k: v\n",
" for k, v in rainfall_metrics.items()\n",
" if k\n",
" in [\n",
" \"ref_thresh\",\n",
" \"est_thresh\",\n",
" \"pearson_correlation_coefficient\",\n",
" \"coefficient_of_variation\",\n",
" \"root_mean_square_error\",\n",
" \"mean_absolute_error\",\n",
" \"percent_bias\",\n",
" \"reference_mean_rainfall\",\n",
" \"estimate_mean_rainfall\",\n",
" ]\n",
"}\n",
"\n",
"plg.validation.print_metrics_table(metrics_subset)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize the contribution of the different parts of the confusion matrix (TP, FP, FN)\n",
"We essentially plot 3 parts of the confusion matrix, the true positives, false positives, and false negatives, corresponding to the scatter density plots from before. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# set the threshold\n",
"threshold = 0.1 # mm/h"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"steps = plg.validation.plot_confusion_matrix_count(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" normalize_y=1,\n",
" n_bins=101,\n",
" bin_type=\"linear\",\n",
")\n",
"\n",
"\n",
"# to calculate the sum we must add the time interval in minutes as an argument\n",
"_ = plg.validation.plot_confusion_matrix_sum(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" time_interval=5, # minutes\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The default ```bin_type='linear'```. Intuitively this should be more easy to understand as all of the bins have equal width. However, most of the rain falls in the lower bins, with only a few intervals that fall within the higher intensity bins. Accomdating this wide range of rainfall intensities on the x-axis would make the lower bins not very well visible. Therefore, the x-axis is log-scaled by default. \n",
"\n",
"This, however, comes with the downside that when plotting linear bins on a log scale, the lower bins are relatively large. \n",
"\n",
"We can deal with this by setting ```bins='log'```, but be aware that though this may be more visually appealing, it may be more difficult to intuitively understand the distribution of the underlying data, as the bin edges are now not equally spaced anymore. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Example of linear vs. log bins\n",
"fig, ax = plt.subplots(2, 2, figsize=(15, 8))\n",
"\n",
"steps_l = plg.validation.plot_confusion_matrix_count(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" bin_type=\"linear\",\n",
" n_bins=1000, # increase nr. of bins to make bins smaller\n",
" ax=ax[0, 0],\n",
")\n",
"ax[0, 0].set_title(\"Linear bins\")\n",
"\n",
"steps_l = plg.validation.plot_confusion_matrix_count(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" bin_type=\"log\",\n",
" ax=ax[0, 1],\n",
")\n",
"ax[0, 1].set_title(\"Log bins\")\n",
"\n",
"_ = plg.validation.plot_confusion_matrix_sum(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" bin_type=\"linear\",\n",
" time_interval=5, # minutes\n",
" n_bins=1000, # increase nr. of bins to make bins smaller\n",
" ax=ax[1, 0],\n",
")\n",
"\n",
"_ = plg.validation.plot_confusion_matrix_sum(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" bin_type=\"log\",\n",
" time_interval=5, # minutes\n",
" ax=ax[1, 1],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also specify whether to show the plots as totals for the entire data set, or as an average per sub-link, by normalizing the y-axis"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# since we only use the first sublink, this is the same as the number of CMLs\n",
"number_of_links = ds_cmls_5m.sizes.get(\"cml_id\")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[,\n",
" ,\n",
" ]"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plg.validation.plot_confusion_matrix_sum(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" normalize_y=number_of_links,\n",
" time_interval=5, # minutes\n",
" bin_type=\"log\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we can adapt all these plots and add them together in one figure as subplots, for example."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, 1, figsize=(6, 8), sharex=True)\n",
"\n",
"steps_count = plg.validation.plot_confusion_matrix_count(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" normalize_y=1,\n",
" ax=ax[0],\n",
")\n",
"\n",
"steps_sum = plg.validation.plot_confusion_matrix_sum(\n",
" reference=radar_flattened,\n",
" estimate=cmls_flattened,\n",
" ref_thresh=threshold,\n",
" est_thresh=threshold,\n",
" time_interval=5,\n",
" ax=ax[1],\n",
")\n",
"\n",
"# change the colors\n",
"steps_count[2].set_color(\"red\")\n",
"\n",
"# call the first legend to update the colors, and remove legend in the second subplot\n",
"ax[0].legend()\n",
"ax[1].legend().set_visible(False)\n",
"\n",
"# remove xlabel in the first subplot since we share the x-axis\n",
"ax[0].set(xlabel=None)\n",
"\n",
"# add a title\n",
"ax[0].set_title(\"Count and sum of confusion matrix\")\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"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": "3.11.11"
}
},
"nbformat": 4,
"nbformat_minor": 2
}