{"cells":[{"metadata":{},"cell_type":"markdown","source":"# SSA (pca-like) dimensionality reduction of LANL data (toy example)\n\n**Assumption**: the acoustic waveform data is very sparse. Therefore, we play with the SSA transform to hopely get a dense data manifold; we aim to feed the most representative SSA coefficients to the model, instead of the full continuous waveform.  \n\nPlease refer to this [kernel](https://www.kaggle.com/jdarcy/introducing-ssa-for-time-series-decomposition) for a comprehensive introduction to SSA. All credit to [pymssa package](https://github.com/kieferk/pymssa)."},{"metadata":{},"cell_type":"markdown","source":"# Load packages\n\nClone multivariate SSA python repo."},{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import numpy as np\nimport pandas as pd\n\nimport matplotlib.pyplot as plt\n%matplotlib inline\n\nimport seaborn as sns\nsns.set()\nsns.set_style('whitegrid')\n\nfrom pymssa import MSSA","execution_count":1,"outputs":[{"output_type":"stream","text":"/opt/conda/lib/python3.6/site-packages/tqdm/autonotebook/__init__.py:14: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n  \" (e.g. in jupyter console)\", TqdmExperimentalWarning)\n","name":"stderr"}]},{"metadata":{},"cell_type":"markdown","source":"# Read 20k train rows\n\nWe read just 20k rows, since SVD matrix decomposition is very memory hungry."},{"metadata":{"trusted":true},"cell_type":"code","source":"# Read 20k rows and keep only acoustic data\ndf = pd.read_csv(\"../input/train.csv\", nrows=20000, dtype={'acoustic_data': np.int16, \n                                                           'time_to_failure': np.float64})[['acoustic_data']]\n# Zero-center data\ndf['acoustic_data'] -= df['acoustic_data'].mean()\ndf.head(5)","execution_count":2,"outputs":[{"output_type":"execute_result","execution_count":2,"data":{"text/plain":"   acoustic_data\n0         6.9503\n1         0.9503\n2         2.9503\n3        -0.0497\n4         2.9503","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>acoustic_data</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>6.9503</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.9503</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2.9503</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>-0.0497</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>2.9503</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"FIGSIZE = (16, 16)\n\nfig, ax = plt.subplots(2, 1, figsize=FIGSIZE)\ng = sns.lineplot(x=df.index[::2], y=df['acoustic_data'][::2], ax=ax[0])\nax[0].ticklabel_format(useOffset=False)\nax[0].set_title('Waveform');\nax[0].set_xlabel('Time')\nax[0].set_ylabel('Amplitude')\ng = sns.lineplot(x=df.index[:100], y=df['acoustic_data'][:100], ax=ax[1])\nax[1].ticklabel_format(useOffset=False)\nax[1].set_title('Waveform 100 samples zoom');\nax[1].set_xlabel('Time')\nax[1].set_ylabel('Amplitude')\nplt.show()","execution_count":3,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1152x1152 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Fit SSA transform\n\nFit SSA transform using only 16 components and a window size of 4096 samples ([recording data bins](https://www.kaggle.com/c/LANL-Earthquake-Prediction/discussion/77526))."},{"metadata":{"trusted":true},"cell_type":"code","source":"N_COMPONENTS = 16\nmssa = MSSA(n_components=N_COMPONENTS, window_size=4096, verbose=True)","execution_count":4,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"mssa.fit(df)","execution_count":null,"outputs":[{"output_type":"stream","text":"Constructing trajectory matrix\nTrajectory matrix shape: (4096, 15905)\nDecomposing trajectory covariance matrix with SVD\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"# Plot reconstruction\n\nPlot waveform, each SSA component and the cumulative sum of the components."},{"metadata":{},"cell_type":"markdown","source":"### 20k samples reconstruction"},{"metadata":{"trusted":true},"cell_type":"code","source":"waveform = df['acoustic_data'].values\ncumulative_recon = np.zeros_like(waveform)\n\nfor comp in range(N_COMPONENTS):  \n    fig, ax = plt.subplots(figsize=(18, 7))\n    current_component = mssa.components_[0, :, comp]\n    cumulative_recon = cumulative_recon + current_component\n    \n    ax.plot(df.index, waveform, lw=3, alpha=0.2, c='k', label='waveform')\n    ax.plot(df.index, cumulative_recon, lw=3, c='darkgoldenrod', alpha=0.6, label='cumulative'.format(comp))\n    ax.plot(df.index, current_component, lw=3, c='steelblue', alpha=0.8, label='component={}'.format(comp))\n    \n    ax.legend()\n    plt.show()","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"### 100 first samples reconstruction"},{"metadata":{"trusted":true},"cell_type":"code","source":"waveform = df['acoustic_data'].values[:100]\ncumulative_recon = np.zeros_like(waveform)\n\nfor comp in range(N_COMPONENTS):  \n    fig, ax = plt.subplots(figsize=(18, 7))\n    current_component = mssa.components_[0, :100, comp]\n    cumulative_recon = cumulative_recon + current_component\n    \n    ax.plot(df.index[:100], waveform, lw=3, alpha=0.2, c='k', label='Waveform 100 samples zoom')\n    ax.plot(df.index[:100], cumulative_recon, lw=3, c='darkgoldenrod', alpha=0.6, label='cumulative'.format(comp))\n    ax.plot(df.index[:100], current_component, lw=3, c='steelblue', alpha=0.8, label='component={}'.format(comp))\n    \n    ax.legend()\n    plt.show()","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# Conclusions\n\nDespite not being a perfect fit (well using only 16 coeff), SSA is quite effective for reducing the dimensionality of the waveform data (int16 continuous values) in a few coefficients. However, we need a lighter SVD decomposition to fit the whole dataset, we think that it can be done by using an online method, such as [Incremental PCA](https://scikit-learn.org/stable/auto_examples/decomposition/plot_incremental_pca.html).\n\nNontheless, we don't know if this is the way to go... Is it worth to implement the online approach for the SSA package? What do kagglers think?"}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"name":"python","version":"3.6.4","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":1}