update py requirements

python/exampleUsage.py

@@ -23,8 +23,7 @@
 
 # learn state model parameters A & Gamma from Eq. (2.1b)
 A0 = np.linalg.lstsq(z_train[1:,], z_train[:-1,])[0]
-resids = z_train[:-1,].T - np.matmul(A0, z_train[1:,].T)
-Gamma0 = np.matmul(resids, resids.T) / n_train
+Gamma0 = np.mat(np.cov(z_train[1:,] - np.matmul(z_train[:-1,],A0), rowvar=False))
 
 # split training set in order to train f() and Q() from Eq. (2.2) separately
 x_train_mean, x_train_covariance, z_train_mean, z_train_covariance = skl_tt_split(

python/readme.md

@@ -1,3 +1,3 @@
-Runs on Python 3.8.5 with requirements as outlined in `requirements.txt`.
+Runs on Python 3.9.9 with requirements as outlined in `requirements.txt`.
 
-Three separate runs produced normalized rmse of 0.6883, 0.6651, and 0.6720.
+Three separate runs produced normalized rmse of 0.6659, 0.6922, and 0.7110.

python/requirements.txt

@@ -1,55 +1,3 @@
-absl-py==0.10.0
-appdirs==1.4.4
-astunparse==1.6.3
-black==20.8b1
-cachetools==4.1.1
-certifi==2020.6.20
-chardet==3.0.4
-click==7.1.2
-colorama==0.4.3
-future==0.18.2
-gast==0.3.3
-google-auth==1.22.1
-google-auth-oauthlib==0.4.1
-google-pasta==0.2.0
-grpcio==1.32.0
-h5py==2.10.0
-idna==2.10
-joblib==0.17.0
-Keras-Preprocessing==1.1.2
-keras-tuner==1.0.1
-lightgbm==3.0.0
-Markdown==3.3
-mypy-extensions==0.4.3
-numpy==1.18.5
-oauthlib==3.1.0
-opt-einsum==3.3.0
-pandas==1.1.3
-pathspec==0.8.0
-protobuf==3.13.0
-pyasn1==0.4.8
-pyasn1-modules==0.2.8
-python-dateutil==2.8.1
-pytz==2020.1
-regex==2020.9.27
-requests==2.24.0
-requests-oauthlib==1.3.0
-rsa==4.6
-scikit-learn==0.23.2
-scipy==1.5.2
-six==1.15.0
-tabulate==0.8.7
-tensorboard==2.3.0
-tensorboard-plugin-wit==1.7.0
-tensorflow==2.3.1
-tensorflow-estimator==2.3.0
-termcolor==1.1.0
-terminaltables==3.1.0
-threadpoolctl==2.1.0
-toml==0.10.1
-tqdm==4.50.1
-typed-ast==1.4.1
-typing-extensions==3.7.4.3
-urllib3==1.25.10
-Werkzeug==1.0.1
-wrapt==1.12.1
+numpy==1.21.4
+scikit-learn==1.0.1
+tensorflow==2.7.0