Feature Selection using Stochastic Gates (STG) is a method for feature selection in neural network estimation problems. The new procedure is based on probabilistic relaxation of the l0 norm of features, or the count of the number of selected features. The proposed framework simultaneously learns either a nonlinear regression or classification function while selecting a small subset of features.

Top: Each stochastic gate z_d is drawn from the STG approximation of the Bernoulli distribution (shown as the blue histogram on the right). Specifically, z_d is obtained by applying the hard-sigmoid function to a mean-shifted Gaussian random variable. Bottom: The z_d stochastic gate is attached to the x_d input feature, where the trainable parameter ยต_d controls the probability of the gate being active |

### Installation

#### Installation with pip

To install with `pip`

, run the following command:

```
pip install --user stg
```

#### Installation from GitHub

You can also clone the repository and install manually:

```
git clone
cd stg/python
python setup.py install --user
```

### Usage

Once you install the library, you can import `STG`

to create a model instance:

```
from stg import STG
model = STG(task_type='regression',input_dim=X_train.shape[1], output_dim=1, hidden_dims=[500, 50, 10], activation='tanh', optimizer='SGD', learning_rate=0.1, batch_size=X_train.shape[0], feature_selection=True, sigma=0.5, lam=0.1, random_state=1, device="cpu")
model.fit(X_train, y_train, nr_epochs=3000, valid_X=X_valid, valid_y=y_valid, print_interval=1000)
# Start training...
```

For more details, please see our Colab notebooks:

### Acknowledgements and References

We thank Junchen Yang for his help to develop the R wrapper. Some of our codebase and its structure is inspired by https://github.com/vacancy/Jacinle.

If you find our library useful in your research, please consider citing us:

```
@incollection{icml2020_5085,
author = {Yamada, Yutaro and Lindenbaum, Ofir and Negahban, Sahand and Kluger, Yuval},
booktitle = {Proceedings of Machine Learning and Systems 2020},
pages = {8952--8963},
title = {Feature Selection using Stochastic Gates},
year = {2020}
}
```