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System Model Parameter Sweep
==
Parametrization of a System Model configuration that produces multiple configurations.
##### Set Parameters
```python
params = {
'alpha': [1],
'beta': [2, 5],
'gamma': [3, 4],
'omega': [7]
}
```
The parameters above produce 2 simulations.
* Simulation 1:
* `alpha = 1`
* `beta = 2`
* `gamma = 3`
* `omega = 7`
* Simulation 2:
* `alpha = 1`
* `beta = 5`
* `gamma = 4`
* `omega = 7`
All parameters can also be set to include a single parameter each, which will result in a single simulation.
##### Example State Updates
Previous State:
`y = 0`
```python
def state_update(_params, step, sH, s, _input):
y = 'state'
x = s['state'] + _params['alpha'] + _params['gamma']
return y, x
```
* Updated State:
* Simulation 1: `y = 4 = 0 + 1 + 3`
* Simulation 2: `y = 5 = 0 + 1 + 4`
##### Example Policy Updates
```python
# Internal States per Mechanism
def policies(_params, step, sH, s):
return {'beta': _params['beta'], 'gamma': _params['gamma']}
```
* Simulation 1: `{'beta': 2, 'gamma': 3]}`
* Simulation 2: `{'beta': 5, 'gamma': 4}`
##### Configure Simulation
```python
from cadCAD.configuration.utils import config_sim
g = {
'alpha': [1],
'beta': [2, 5],
'gamma': [3, 4],
'omega': [7]
}
sim_config = config_sim(
{
"N": 2,
"T": range(5),
"M": g,
}
)
```
#### Example
##### * [System Model Configuration](https://github.com/BlockScience/cadCAD-Tutorials/blob/master/Documentation/examples/param_sweep.py)
##### * Simulation Results: