# mud-games

control systems with MUD points

# installation

```bash
pip install -r requirements.txt
```


# usage

A `data.pkl` file is provided for your convenience with input / output samples.

```bash
python main.py
```

# info

The inputs are the parameters to a `1x4` matrix which is multiplied against the observations of the state in order to make a decision for the next action (push left or right). The output of the vector inner-product is binarized by comparing it to zero as a threshold value.

The parameter space is standard normal.
There is no assumed error in observations; the "data variance" is designed to reflect the acceptable [ranges for the observations](https://www.gymlibrary.ml/pages/environments/classic_control/cart_pole):
- The cart x-position (index 0) can be take values between (-4.8, 4.8), but the episode terminates if the cart leaves the (-2.4, 2.4) range.
- The pole angle can be observed between (-.418, .418) radians (or ±24°), but the episode terminates if the pole angle is not in the range (-.2095, .2095) (or ±12°)


Therefore, since our objective is to stabilize the cart, the target "time series signal" is zero for all four dimensions of the observation space. The presumed "data variance" should actually correspond to the acceptable bands of signal (WIP).

# generate data

You can generate your own data with:
```bash
python data.py
```

Note: if you change the presumed sample space in `data.py`, you should make the corresponding changes to the initial distribution in `main.py`.


# improvements

Using the following presumptions, we can establish better values for the "data variance":
The angular momentum of the pole is the most important thing to stabilize.