# Plot response 1D

by: Kevin Broløs and Chris Cave

(Feyn version 3.0 or newer)

A `Model`

is a mathematical function from the inputs to the output. If there are more than two inputs in a `Model`

then it is difficult to visualise how the inputs affect the output.

One way to overcome this is to simplifiy the `Model`

by fixing all the inputs except for one. This simplified `Model`

now has one input and one output. This can be visualised by plotting the single input against the output. `plot_response_1d`

enables you to choose and plot simplified models.

## Example

```
import feyn
from sklearn.datasets import load_diabetes
import pandas as pd
from feyn.tools import split
# Load diabetes dataset into a pandas dataframe
dataset = load_diabetes()
df_diabetes = pd.DataFrame(dataset.data, columns=dataset.feature_names)
df_diabetes['response'] = dataset.target
# Train/test split
train, test = split(df_diabetes, ratio=[0.6, 0.4], random_state=42)
# Instantiate a QLattice
ql = feyn.QLattice(random_seed=42)
models = ql.auto_run(
data=train,
output_name='response'
)
# Select the best Model
best = models[0]
best
```

### Plotting the model response

`# Plot simplified model with only 'bp' manually fixed`

best.plot_response_1d(

data = train,

by = 'bmi',

input_constraints = {'bp': train.bmi.quantile(0.25)}

)

`# Plot simplified model with only 'bp' manually fixed`

best.interactive_response_1d(

data = train,

input_constraints = {'bp': train.bmi.quantile(0.25)}

)

This mode that is available only for IPython kernels allows you to select the variable you want to evaluate the response as a function of. This requires installing `ipywidgets`

and enabling the extension in `jupyter notebook`

:

`$ jupyter nbextension enable --py widgetsnbextension`

or in `jupyter lab`

:

`$ jupyter labextension install @jupyter-widgets/jupyterlab-manager`

The continuous line is the plot of the simplified function. The scatter points are the values (`data[by]`

, `data[output]`

). The histogram on the top is of `data[by]`

and the histogram to the side is of `data[output]`

.

### Saving the plot

You can save the plot using the `filename`

parameter. The plot is saved in the current working directory unless another path specifed.

```
best.plot_response_1d(
data = train,
by = 'bmi',
input_constraints = {'bp': train.bmi.quantile(0.25)},
filename="feyn-plot"
)
```

If the extension is not specified then it is saved as a png file.

`plot_response_1d`

Parameters of ### data

A `pd.DataFrame`

of your data. This parameter is passed to determine the range of the non-fixed input to plot. All input names of the `Model`

should be the name of columns in the data.

The data is also used to plot the scatter points. This is useful to visualise if the `Model`

has had enough data points to say with confidence the output value of particular inputs.

### by

The input name that is not fixed and is the single input of the simplified `Model`

.

### input_constraints

A dictionary where the keys are the names of all fixed inputs and the values are what to fix the `Model`

at. If None and there are fewer than three inputs then 25%, 50% and 75% quartiles of each fixed input is passed. If there are more than three inputs then only the median is passed for each fixed input. Default is None.

`Feyn`

Location in This function can also be found in `feyn.plots`

module.

```
from feyn.plots import plot_model_response_1d
plot_model_response_1d(best, train, 'bmi')
```