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<title>12. Clustering and Unsupervised Learning — Applied Data Analysis and Machine Learning</title>
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About the course
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<p class="caption" role="heading">
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<span class="caption-text">
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Review of Statistics with Resampling Techniques and Linear Algebra
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</span>
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<p class="caption" role="heading">
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<p aria-level="2" class="caption" role="heading">
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<span class="caption-text">
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From Regression to Support Vector Machines
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</span>
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</a>
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<p class="caption" role="heading">
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<p aria-level="2" class="caption" role="heading">
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<span class="caption-text">
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Decision Trees, Ensemble Methods and Boosting
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</a>
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<p class="caption" role="heading">
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<p aria-level="2" class="caption" role="heading">
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<span class="caption-text">
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Dimensionality Reduction
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<span class="caption-text">
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Deep Learning Methods
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@@ -281,7 +287,7 @@ const thebe_selector_output = ".output, .cell_output"
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data-placement="left">.ipynb</button></a>
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<i class="fas fa-list"></i> Contents
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<h1>Clustering and Unsupervised Learning</h1>
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<h2> Contents </h2>
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12.1. Codes and Approaches
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<div class="cell_output docutils container">
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/jax/_src/lib/__init__.py:33: UserWarning: JAX on Mac ARM machines is experimental and minimally tested. Please see https://github.com/google/jax/issues/5501 in the event of problems.
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warnings.warn("JAX on Mac ARM machines is experimental and minimally tested. "
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<div class="output traceback highlight-ipythontb notranslate"><div class="highlight"><pre><span></span><span class="gt">---------------------------------------------------------------------------</span>
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<span class="ne">ModuleNotFoundError</span><span class="g g-Whitespace"> </span>Traceback (most recent call last)
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<span class="nn">Input In [1],</span> in <span class="ni"><cell line: 5></span><span class="nt">()</span>
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<span class="g g-Whitespace"> </span><span class="mi">3</span> <span class="kn">import</span> <span class="nn">time</span>
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<span class="g g-Whitespace"> </span><span class="mi">4</span> <span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
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<span class="ne">----> </span><span class="mi">5</span> <span class="kn">import</span> <span class="nn">tensorflow</span> <span class="k">as</span> <span class="nn">tf</span>
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<span class="g g-Whitespace"> </span><span class="mi">6</span> <span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">image</span>
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<span class="g g-Whitespace"> </span><span class="mi">7</span> <span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
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<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">51</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
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<span class="g g-Whitespace"> </span><span class="mi">49</span> <span class="kn">from</span> <span class="nn">._api.v2</span> <span class="kn">import</span> <span class="n">autograph</span>
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<span class="g g-Whitespace"> </span><span class="mi">50</span> <span class="kn">from</span> <span class="nn">._api.v2</span> <span class="kn">import</span> <span class="n">bitwise</span>
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<span class="ne">---> </span><span class="mi">51</span> <span class="kn">from</span> <span class="nn">._api.v2</span> <span class="kn">import</span> <span class="n">compat</span>
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<span class="g g-Whitespace"> </span><span class="mi">52</span> <span class="kn">from</span> <span class="nn">._api.v2</span> <span class="kn">import</span> <span class="n">config</span>
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<span class="g g-Whitespace"> </span><span class="mi">53</span> <span class="kn">from</span> <span class="nn">._api.v2</span> <span class="kn">import</span> <span class="n">data</span>
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<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">37</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
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<span class="g g-Whitespace"> </span><span class="mi">3</span> <span class="sd">"""Compatibility functions.</span>
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<span class="g g-Whitespace"> </span><span class="mi">4</span><span class="sd"> </span>
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<span class="g g-Whitespace"> </span><span class="mi">5</span><span class="sd"> The `tf.compat` module contains two sets of compatibility functions.</span>
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<span class="sd"> (...)</span>
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<span class="g g-Whitespace"> </span><span class="mi">32</span><span class="sd"> </span>
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<span class="g g-Whitespace"> </span><span class="mi">33</span><span class="sd"> """</span>
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<span class="g g-Whitespace"> </span><span class="mi">35</span> <span class="kn">import</span> <span class="nn">sys</span> <span class="k">as</span> <span class="nn">_sys</span>
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<span class="ne">---> </span><span class="mi">37</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">v1</span>
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<span class="g g-Whitespace"> </span><span class="mi">38</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">v2</span>
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<span class="g g-Whitespace"> </span><span class="mi">39</span> <span class="kn">from</span> <span class="nn">tensorflow.python.compat.compat</span> <span class="kn">import</span> <span class="n">forward_compatibility_horizon</span>
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<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">30</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
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<span class="g g-Whitespace"> </span><span class="mi">28</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">autograph</span>
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<span class="g g-Whitespace"> </span><span class="mi">29</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">bitwise</span>
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<span class="ne">---> </span><span class="mi">30</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">compat</span>
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<span class="g g-Whitespace"> </span><span class="mi">31</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">config</span>
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<span class="g g-Whitespace"> </span><span class="mi">32</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">data</span>
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<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">37</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
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<span class="g g-Whitespace"> </span><span class="mi">3</span> <span class="sd">"""Compatibility functions.</span>
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<span class="g g-Whitespace"> </span><span class="mi">4</span><span class="sd"> </span>
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<span class="g g-Whitespace"> </span><span class="mi">5</span><span class="sd"> The `tf.compat` module contains two sets of compatibility functions.</span>
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<span class="sd"> (...)</span>
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<span class="g g-Whitespace"> </span><span class="mi">32</span><span class="sd"> </span>
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<span class="g g-Whitespace"> </span><span class="mi">33</span><span class="sd"> """</span>
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<span class="g g-Whitespace"> </span><span class="mi">35</span> <span class="kn">import</span> <span class="nn">sys</span> <span class="k">as</span> <span class="nn">_sys</span>
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<span class="ne">---> </span><span class="mi">37</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">v1</span>
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<span class="g g-Whitespace"> </span><span class="mi">38</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">v2</span>
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<span class="g g-Whitespace"> </span><span class="mi">39</span> <span class="kn">from</span> <span class="nn">tensorflow.python.compat.compat</span> <span class="kn">import</span> <span class="n">forward_compatibility_horizon</span>
|
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<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">47</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
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<span class="g g-Whitespace"> </span><span class="mi">45</span> <span class="kn">from</span> <span class="nn">tensorflow._api.v2.compat.v1</span> <span class="kn">import</span> <span class="n">layers</span>
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<span class="g g-Whitespace"> </span><span class="mi">46</span> <span class="kn">from</span> <span class="nn">tensorflow._api.v2.compat.v1</span> <span class="kn">import</span> <span class="n">linalg</span>
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||||
<span class="ne">---> </span><span class="mi">47</span> <span class="kn">from</span> <span class="nn">tensorflow._api.v2.compat.v1</span> <span class="kn">import</span> <span class="n">lite</span>
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<span class="g g-Whitespace"> </span><span class="mi">48</span> <span class="kn">from</span> <span class="nn">tensorflow._api.v2.compat.v1</span> <span class="kn">import</span> <span class="n">logging</span>
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<span class="g g-Whitespace"> </span><span class="mi">49</span> <span class="kn">from</span> <span class="nn">tensorflow._api.v2.compat.v1</span> <span class="kn">import</span> <span class="n">lookup</span>
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|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">9</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">6</span> <span class="kn">import</span> <span class="nn">sys</span> <span class="k">as</span> <span class="nn">_sys</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">8</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">constants</span>
|
||||
<span class="ne">----> </span><span class="mi">9</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">experimental</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">10</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.lite</span> <span class="kn">import</span> <span class="n">Interpreter</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">11</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.lite</span> <span class="kn">import</span> <span class="n">OpHint</span>
|
||||
|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="n">experimental</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">8</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">3</span> <span class="sd">"""Public API for tf.lite.experimental namespace.</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">4</span><span class="sd"> """</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">6</span> <span class="kn">import</span> <span class="nn">sys</span> <span class="k">as</span> <span class="nn">_sys</span>
|
||||
<span class="ne">----> </span><span class="mi">8</span> <span class="kn">from</span> <span class="nn">.</span> <span class="kn">import</span> <span class="n">authoring</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">9</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.analyzer</span> <span class="kn">import</span> <span class="n">ModelAnalyzer</span> <span class="k">as</span> <span class="n">Analyzer</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">10</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.lite</span> <span class="kn">import</span> <span class="n">OpResolverType</span>
|
||||
|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">_api</span><span class="o">/</span><span class="n">v2</span><span class="o">/</span><span class="n">compat</span><span class="o">/</span><span class="n">v1</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="n">experimental</span><span class="o">/</span><span class="n">authoring</span><span class="o">/</span><span class="fm">__init__</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">8</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">3</span> <span class="sd">"""Public API for tf.lite.experimental.authoring namespace.</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">4</span><span class="sd"> """</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">6</span> <span class="kn">import</span> <span class="nn">sys</span> <span class="k">as</span> <span class="nn">_sys</span>
|
||||
<span class="ne">----> </span><span class="mi">8</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.authoring.authoring</span> <span class="kn">import</span> <span class="n">compatible</span>
|
||||
|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="n">python</span><span class="o">/</span><span class="n">authoring</span><span class="o">/</span><span class="n">authoring</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">43</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">39</span> <span class="kn">import</span> <span class="nn">functools</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">42</span> <span class="c1"># pylint: disable=g-import-not-at-top</span>
|
||||
<span class="ne">---> </span><span class="mi">43</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python</span> <span class="kn">import</span> <span class="n">convert</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">44</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python</span> <span class="kn">import</span> <span class="n">lite</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">45</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.metrics</span> <span class="kn">import</span> <span class="n">converter_error_data_pb2</span>
|
||||
|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="n">python</span><span class="o">/</span><span class="n">convert</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">29</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">26</span> <span class="kn">import</span> <span class="nn">six</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">28</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python</span> <span class="kn">import</span> <span class="n">lite_constants</span>
|
||||
<span class="ne">---> </span><span class="mi">29</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python</span> <span class="kn">import</span> <span class="n">util</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">30</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python</span> <span class="kn">import</span> <span class="n">wrap_toco</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">31</span> <span class="kn">from</span> <span class="nn">tensorflow.lite.python.convert_phase</span> <span class="kn">import</span> <span class="n">Component</span>
|
||||
|
||||
<span class="n">File</span> <span class="o">~/</span><span class="n">miniforge3</span><span class="o">/</span><span class="n">envs</span><span class="o">/</span><span class="n">myenv</span><span class="o">/</span><span class="n">lib</span><span class="o">/</span><span class="n">python3</span><span class="mf">.9</span><span class="o">/</span><span class="n">site</span><span class="o">-</span><span class="n">packages</span><span class="o">/</span><span class="n">tensorflow</span><span class="o">/</span><span class="n">lite</span><span class="o">/</span><span class="n">python</span><span class="o">/</span><span class="n">util</span><span class="o">.</span><span class="n">py</span><span class="p">:</span><span class="mi">26</span><span class="p">,</span> <span class="ow">in</span> <span class="o"><</span><span class="n">module</span><span class="o">></span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">23</span> <span class="kn">import</span> <span class="nn">six</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">24</span> <span class="kn">from</span> <span class="nn">six.moves</span> <span class="kn">import</span> <span class="nb">range</span>
|
||||
<span class="ne">---> </span><span class="mi">26</span> <span class="kn">import</span> <span class="nn">flatbuffers</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">27</span> <span class="kn">from</span> <span class="nn">tensorflow.core.protobuf</span> <span class="kn">import</span> <span class="n">config_pb2</span> <span class="k">as</span> <span class="n">_config_pb2</span>
|
||||
<span class="g g-Whitespace"> </span><span class="mi">28</span> <span class="kn">from</span> <span class="nn">tensorflow.core.protobuf</span> <span class="kn">import</span> <span class="n">graph_debug_info_pb2</span>
|
||||
|
||||
<span class="ne">ModuleNotFoundError</span>: No module named 'flatbuffers'
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
@@ -525,9 +649,6 @@ set up our toy data set.</p>
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
<div class="cell_output docutils container">
|
||||
<img alt="_images/clustering_17_0.png" src="_images/clustering_17_0.png" />
|
||||
</div>
|
||||
</div>
|
||||
<p>With the above dataset we start
|
||||
implementing the <span class="math notranslate nohighlight">\(k\)</span>-means algorithm.</p>
|
||||
@@ -588,9 +709,6 @@ implementing the <span class="math notranslate nohighlight">\(k\)</span>-means a
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
<div class="cell_output docutils container">
|
||||
<img alt="_images/clustering_20_0.png" src="_images/clustering_20_0.png" />
|
||||
</div>
|
||||
</div>
|
||||
<p>So what do we have so far? We have ‘picked’ <span class="math notranslate nohighlight">\(k\)</span> centroids at random from our
|
||||
data points. There are other ways of more intelligently choosing their
|
||||
@@ -651,11 +769,6 @@ or a maximum amount of iterations.</p>
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
<div class="cell_output docutils container">
|
||||
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Converged at iteration 5
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<p>We now have a simple , un-optimized <span class="math notranslate nohighlight">\(k\)</span>-means
|
||||
clustering implementation. Lets plot the final result</p>
|
||||
@@ -677,9 +790,6 @@ clustering implementation. Lets plot the final result</p>
|
||||
</pre></div>
|
||||
</div>
|
||||
</div>
|
||||
<div class="cell_output docutils container">
|
||||
<img alt="_images/clustering_24_0.png" src="_images/clustering_24_0.png" />
|
||||
</div>
|
||||
</div>
|
||||
<div class="cell docutils container">
|
||||
<div class="cell_input docutils container">
|
||||
@@ -780,54 +890,42 @@ clustering implementation. Lets plot the final result</p>
|
||||
|
||||
</div>
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
<div class='prev-next-bottom'>
|
||||
|
||||
<div id="prev">
|
||||
<a class="left-prev" href="chapter8.html" title="previous page">
|
||||
<i class="prevnext-label fas fa-angle-left"></i>
|
||||
<div class="prevnext-info">
|
||||
<p class="prevnext-label">previous</p>
|
||||
<p class="prevnext-title"><span class="section-number">11. </span>Basic ideas of the Principal Component Analysis (PCA)</p>
|
||||
</div>
|
||||
</a>
|
||||
<!-- Previous / next buttons -->
|
||||
<div class='prev-next-area'>
|
||||
<a class='left-prev' id="prev-link" href="chapter8.html" title="previous page">
|
||||
<i class="fas fa-angle-left"></i>
|
||||
<div class="prev-next-info">
|
||||
<p class="prev-next-subtitle">previous</p>
|
||||
<p class="prev-next-title"><span class="section-number">11. </span>Basic ideas of the Principal Component Analysis (PCA)</p>
|
||||
</div>
|
||||
</a>
|
||||
<a class='right-next' id="next-link" href="chapter9.html" title="next page">
|
||||
<div class="prev-next-info">
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||||
<p class="prev-next-subtitle">next</p>
|
||||
<p class="prev-next-title"><span class="section-number">13. </span>Neural networks</p>
|
||||
</div>
|
||||
<div id="next">
|
||||
<a class="right-next" href="chapter9.html" title="next page">
|
||||
<div class="prevnext-info">
|
||||
<p class="prevnext-label">next</p>
|
||||
<p class="prevnext-title"><span class="section-number">13. </span>Neural networks</p>
|
||||
</div>
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||||
<i class="prevnext-label fas fa-angle-right"></i>
|
||||
</a>
|
||||
</div>
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||||
|
||||
<i class="fas fa-angle-right"></i>
|
||||
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|
||||
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|
||||
|
||||
|
||||
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|
||||
</div>
|
||||
<footer class="footer">
|
||||
<div class="container">
|
||||
<p>
|
||||
|
||||
By Morten Hjorth-Jensen<br/>
|
||||
|
||||
© Copyright 2021.<br/>
|
||||
</p>
|
||||
</div>
|
||||
</footer>
|
||||
<p>
|
||||
|
||||
By Morten Hjorth-Jensen<br/>
|
||||
|
||||
© Copyright 2021.<br/>
|
||||
</p>
|
||||
</footer>
|
||||
</main>
|
||||
|
||||
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<script src="_static/js/index.1c5a1a01449ed65a7b51.js"></script>
|
||||
<script src="_static/js/index.be7d3bbb2ef33a8344ce.js"></script>
|
||||
|
||||
|
||||
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|
||||
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|
||||
Reference in New Issue
Block a user