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  <section id="optics">
<h1>OPTICS<a class="headerlink" href="#optics" title="Link to this heading">#</a></h1>
<dl class="py class">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS">
<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">sklearn.cluster.</span></span><span class="sig-name descname"><span class="pre">OPTICS</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">min_samples</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">5</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">max_eps</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">inf</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">metric</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">'minkowski'</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">2</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">metric_params</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">cluster_method</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">'xi'</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">eps</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">xi</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">0.05</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">predecessor_correction</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">min_cluster_size</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">algorithm</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">'auto'</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">leaf_size</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">30</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">memory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">n_jobs</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/cluster/_optics.py#L33"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS" title="Link to this definition">#</a></dt>
<dd><p>Estimate clustering structure from vector array.</p>
<p>OPTICS (Ordering Points To Identify the Clustering Structure), closely
related to DBSCAN, finds core sample of high density and expands clusters
from them <a class="reference internal" href="#r2c55e37003fe-1" id="id1">[1]</a>. Unlike DBSCAN, keeps cluster hierarchy for a variable
neighborhood radius. Better suited for usage on large datasets than the
current sklearn implementation of DBSCAN.</p>
<p>Clusters are then extracted using a DBSCAN-like method
(cluster_method = ‘dbscan’) or an automatic
technique proposed in <a class="reference internal" href="#r2c55e37003fe-1" id="id2">[1]</a> (cluster_method = ‘xi’).</p>
<p>This implementation deviates from the original OPTICS by first performing
k-nearest-neighborhood searches on all points to identify core sizes, then
computing only the distances to unprocessed points when constructing the
cluster order. Note that we do not employ a heap to manage the expansion
candidates, so the time complexity will be O(n^2).</p>
<p>Read more in the <a class="reference internal" href="../clustering.html#optics"><span class="std std-ref">User Guide</span></a>.</p>
<dl class="field-list">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl>
<dt><strong>min_samples</strong><span class="classifier">int &gt; 1 or float between 0 and 1, default=5</span></dt><dd><p>The number of samples in a neighborhood for a point to be considered as
a core point. Also, up and down steep regions can’t have more than
<code class="docutils literal notranslate"><span class="pre">min_samples</span></code> consecutive non-steep points. Expressed as an absolute
number or a fraction of the number of samples (rounded to be at least
2).</p>
</dd>
<dt><strong>max_eps</strong><span class="classifier">float, default=np.inf</span></dt><dd><p>The maximum distance between two samples for one to be considered as
in the neighborhood of the other. Default value of <code class="docutils literal notranslate"><span class="pre">np.inf</span></code> will
identify clusters across all scales; reducing <code class="docutils literal notranslate"><span class="pre">max_eps</span></code> will result
in shorter run times.</p>
</dd>
<dt><strong>metric</strong><span class="classifier">str or callable, default=’minkowski’</span></dt><dd><p>Metric to use for distance computation. Any metric from scikit-learn
or scipy.spatial.distance can be used.</p>
<p>If metric is a callable function, it is called on each
pair of instances (rows) and the resulting value recorded. The callable
should take two arrays as input and return one value indicating the
distance between them. This works for Scipy’s metrics, but is less
efficient than passing the metric name as a string. If metric is
“precomputed”, <code class="docutils literal notranslate"><span class="pre">X</span></code> is assumed to be a distance matrix and must be
square.</p>
<p>Valid values for metric are:</p>
<ul class="simple">
<li><p>from scikit-learn: [‘cityblock’, ‘cosine’, ‘euclidean’, ‘l1’, ‘l2’,
‘manhattan’]</p></li>
<li><p>from scipy.spatial.distance: [‘braycurtis’, ‘canberra’, ‘chebyshev’,
‘correlation’, ‘dice’, ‘hamming’, ‘jaccard’, ‘kulsinski’,
‘mahalanobis’, ‘minkowski’, ‘rogerstanimoto’, ‘russellrao’,
‘seuclidean’, ‘sokalmichener’, ‘sokalsneath’, ‘sqeuclidean’,
‘yule’]</p></li>
</ul>
<p>Sparse matrices are only supported by scikit-learn metrics.
See the documentation for scipy.spatial.distance for details on these
metrics.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p><code class="docutils literal notranslate"><span class="pre">'kulsinski'</span></code> is deprecated from SciPy 1.9 and will be removed in SciPy 1.11.</p>
</div>
</dd>
<dt><strong>p</strong><span class="classifier">float, default=2</span></dt><dd><p>Parameter for the Minkowski metric from
<a class="reference internal" href="sklearn.metrics.pairwise_distances.html#sklearn.metrics.pairwise_distances" title="sklearn.metrics.pairwise_distances"><code class="xref py py-class docutils literal notranslate"><span class="pre">pairwise_distances</span></code></a>. When p = 1, this is
equivalent to using manhattan_distance (l1), and euclidean_distance
(l2) for p = 2. For arbitrary p, minkowski_distance (l_p) is used.</p>
</dd>
<dt><strong>metric_params</strong><span class="classifier">dict, default=None</span></dt><dd><p>Additional keyword arguments for the metric function.</p>
</dd>
<dt><strong>cluster_method</strong><span class="classifier">str, default=’xi’</span></dt><dd><p>The extraction method used to extract clusters using the calculated
reachability and ordering. Possible values are “xi” and “dbscan”.</p>
</dd>
<dt><strong>eps</strong><span class="classifier">float, default=None</span></dt><dd><p>The maximum distance between two samples for one to be considered as
in the neighborhood of the other. By default it assumes the same value
as <code class="docutils literal notranslate"><span class="pre">max_eps</span></code>.
Used only when <code class="docutils literal notranslate"><span class="pre">cluster_method='dbscan'</span></code>.</p>
</dd>
<dt><strong>xi</strong><span class="classifier">float between 0 and 1, default=0.05</span></dt><dd><p>Determines the minimum steepness on the reachability plot that
constitutes a cluster boundary. For example, an upwards point in the
reachability plot is defined by the ratio from one point to its
successor being at most 1-xi.
Used only when <code class="docutils literal notranslate"><span class="pre">cluster_method='xi'</span></code>.</p>
</dd>
<dt><strong>predecessor_correction</strong><span class="classifier">bool, default=True</span></dt><dd><p>Correct clusters according to the predecessors calculated by OPTICS
<a class="reference internal" href="#r2c55e37003fe-2" id="id3">[2]</a>. This parameter has minimal effect on most datasets.
Used only when <code class="docutils literal notranslate"><span class="pre">cluster_method='xi'</span></code>.</p>
</dd>
<dt><strong>min_cluster_size</strong><span class="classifier">int &gt; 1 or float between 0 and 1, default=None</span></dt><dd><p>Minimum number of samples in an OPTICS cluster, expressed as an
absolute number or a fraction of the number of samples (rounded to be
at least 2). If <code class="docutils literal notranslate"><span class="pre">None</span></code>, the value of <code class="docutils literal notranslate"><span class="pre">min_samples</span></code> is used instead.
Used only when <code class="docutils literal notranslate"><span class="pre">cluster_method='xi'</span></code>.</p>
</dd>
<dt><strong>algorithm</strong><span class="classifier">{‘auto’, ‘ball_tree’, ‘kd_tree’, ‘brute’}, default=’auto’</span></dt><dd><p>Algorithm used to compute the nearest neighbors:</p>
<ul class="simple">
<li><p>‘ball_tree’ will use <a class="reference internal" href="sklearn.neighbors.BallTree.html#sklearn.neighbors.BallTree" title="sklearn.neighbors.BallTree"><code class="xref py py-class docutils literal notranslate"><span class="pre">BallTree</span></code></a>.</p></li>
<li><p>‘kd_tree’ will use <a class="reference internal" href="sklearn.neighbors.KDTree.html#sklearn.neighbors.KDTree" title="sklearn.neighbors.KDTree"><code class="xref py py-class docutils literal notranslate"><span class="pre">KDTree</span></code></a>.</p></li>
<li><p>‘brute’ will use a brute-force search.</p></li>
<li><p>‘auto’ (default) will attempt to decide the most appropriate
algorithm based on the values passed to <a class="reference internal" href="#sklearn.cluster.OPTICS.fit" title="sklearn.cluster.OPTICS.fit"><code class="xref py py-meth docutils literal notranslate"><span class="pre">fit</span></code></a> method.</p></li>
</ul>
<p>Note: fitting on sparse input will override the setting of
this parameter, using brute force.</p>
</dd>
<dt><strong>leaf_size</strong><span class="classifier">int, default=30</span></dt><dd><p>Leaf size passed to <a class="reference internal" href="sklearn.neighbors.BallTree.html#sklearn.neighbors.BallTree" title="sklearn.neighbors.BallTree"><code class="xref py py-class docutils literal notranslate"><span class="pre">BallTree</span></code></a> or
<a class="reference internal" href="sklearn.neighbors.KDTree.html#sklearn.neighbors.KDTree" title="sklearn.neighbors.KDTree"><code class="xref py py-class docutils literal notranslate"><span class="pre">KDTree</span></code></a>. This can affect the speed of the
construction and query, as well as the memory required to store the
tree. The optimal value depends on the nature of the problem.</p>
</dd>
<dt><strong>memory</strong><span class="classifier">str or object with the joblib.Memory interface, default=None</span></dt><dd><p>Used to cache the output of the computation of the tree.
By default, no caching is done. If a string is given, it is the
path to the caching directory.</p>
</dd>
<dt><strong>n_jobs</strong><span class="classifier">int, default=None</span></dt><dd><p>The number of parallel jobs to run for neighbors search.
<code class="docutils literal notranslate"><span class="pre">None</span></code> means 1 unless in a <a class="reference external" href="https://joblib.readthedocs.io/en/latest/generated/joblib.parallel_backend.html#joblib.parallel_backend" title="(in joblib v1.5.dev0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">joblib.parallel_backend</span></code></a> context.
<code class="docutils literal notranslate"><span class="pre">-1</span></code> means using all processors. See <a class="reference internal" href="../../glossary.html#term-n_jobs"><span class="xref std std-term">Glossary</span></a>
for more details.</p>
</dd>
</dl>
</dd>
<dt class="field-even">Attributes<span class="colon">:</span></dt>
<dd class="field-even"><dl>
<dt><strong>labels_</strong><span class="classifier">ndarray of shape (n_samples,)</span></dt><dd><p>Cluster labels for each point in the dataset given to fit().
Noisy samples and points which are not included in a leaf cluster
of <code class="docutils literal notranslate"><span class="pre">cluster_hierarchy_</span></code> are labeled as -1.</p>
</dd>
<dt><strong>reachability_</strong><span class="classifier">ndarray of shape (n_samples,)</span></dt><dd><p>Reachability distances per sample, indexed by object order. Use
<code class="docutils literal notranslate"><span class="pre">clust.reachability_[clust.ordering_]</span></code> to access in cluster order.</p>
</dd>
<dt><strong>ordering_</strong><span class="classifier">ndarray of shape (n_samples,)</span></dt><dd><p>The cluster ordered list of sample indices.</p>
</dd>
<dt><strong>core_distances_</strong><span class="classifier">ndarray of shape (n_samples,)</span></dt><dd><p>Distance at which each sample becomes a core point, indexed by object
order. Points which will never be core have a distance of inf. Use
<code class="docutils literal notranslate"><span class="pre">clust.core_distances_[clust.ordering_]</span></code> to access in cluster order.</p>
</dd>
<dt><strong>predecessor_</strong><span class="classifier">ndarray of shape (n_samples,)</span></dt><dd><p>Point that a sample was reached from, indexed by object order.
Seed points have a predecessor of -1.</p>
</dd>
<dt><strong>cluster_hierarchy_</strong><span class="classifier">ndarray of shape (n_clusters, 2)</span></dt><dd><p>The list of clusters in the form of <code class="docutils literal notranslate"><span class="pre">[start,</span> <span class="pre">end]</span></code> in each row, with
all indices inclusive. The clusters are ordered according to
<code class="docutils literal notranslate"><span class="pre">(end,</span> <span class="pre">-start)</span></code> (ascending) so that larger clusters encompassing
smaller clusters come after those smaller ones. Since <code class="docutils literal notranslate"><span class="pre">labels_</span></code> does
not reflect the hierarchy, usually
<code class="docutils literal notranslate"><span class="pre">len(cluster_hierarchy_)</span> <span class="pre">&gt;</span> <span class="pre">np.unique(optics.labels_)</span></code>. Please also
note that these indices are of the <code class="docutils literal notranslate"><span class="pre">ordering_</span></code>, i.e.
<code class="docutils literal notranslate"><span class="pre">X[ordering_][start:end</span> <span class="pre">+</span> <span class="pre">1]</span></code> form a cluster.
Only available when <code class="docutils literal notranslate"><span class="pre">cluster_method='xi'</span></code>.</p>
</dd>
<dt><strong>n_features_in_</strong><span class="classifier">int</span></dt><dd><p>Number of features seen during <a class="reference internal" href="../../glossary.html#term-fit"><span class="xref std std-term">fit</span></a>.</p>
<div class="versionadded">
<p><span class="versionmodified added">Added in version 0.24.</span></p>
</div>
</dd>
<dt><strong>feature_names_in_</strong><span class="classifier">ndarray of shape (<code class="docutils literal notranslate"><span class="pre">n_features_in_</span></code>,)</span></dt><dd><p>Names of features seen during <a class="reference internal" href="../../glossary.html#term-fit"><span class="xref std std-term">fit</span></a>. Defined only when <code class="docutils literal notranslate"><span class="pre">X</span></code>
has feature names that are all strings.</p>
<div class="versionadded">
<p><span class="versionmodified added">Added in version 1.0.</span></p>
</div>
</dd>
</dl>
</dd>
</dl>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<dl class="simple">
<dt><a class="reference internal" href="sklearn.cluster.DBSCAN.html#sklearn.cluster.DBSCAN" title="sklearn.cluster.DBSCAN"><code class="xref py py-obj docutils literal notranslate"><span class="pre">DBSCAN</span></code></a></dt><dd><p>A similar clustering for a specified neighborhood radius (eps). Our implementation is optimized for runtime.</p>
</dd>
</dl>
</div>
<p class="rubric">References</p>
<div role="list" class="citation-list">
<div class="citation" id="r2c55e37003fe-1" role="doc-biblioentry">
<span class="label"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></span>
<span class="backrefs">(<a role="doc-backlink" href="#id1">1</a>,<a role="doc-backlink" href="#id2">2</a>)</span>
<p>Ankerst, Mihael, Markus M. Breunig, Hans-Peter Kriegel,
and Jörg Sander. “OPTICS: ordering points to identify the clustering
structure.” ACM SIGMOD Record 28, no. 2 (1999): 49-60.</p>
</div>
<div class="citation" id="r2c55e37003fe-2" role="doc-biblioentry">
<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id3">2</a><span class="fn-bracket">]</span></span>
<p>Schubert, Erich, Michael Gertz.
“Improving the Cluster Structure Extracted from OPTICS Plots.” Proc. of
the Conference “Lernen, Wissen, Daten, Analysen” (LWDA) (2018): 318-329.</p>
</div>
</div>
<p class="rubric">Examples</p>
<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span><span class="w"> </span><span class="nn">sklearn.cluster</span><span class="w"> </span><span class="kn">import</span> <span class="n">OPTICS</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span><span class="w"> </span><span class="nn">numpy</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">X</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">5</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">6</span><span class="p">],</span>
<span class="gp">... </span>              <span class="p">[</span><span class="mi">8</span><span class="p">,</span> <span class="mi">7</span><span class="p">],</span> <span class="p">[</span><span class="mi">8</span><span class="p">,</span> <span class="mi">8</span><span class="p">],</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">3</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">clustering</span> <span class="o">=</span> <span class="n">OPTICS</span><span class="p">(</span><span class="n">min_samples</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">X</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">clustering</span><span class="o">.</span><span class="n">labels_</span>
<span class="go">array([0, 0, 0, 1, 1, 1])</span>
</pre></div>
</div>
<p>For a more detailed example see
<a class="reference internal" href="../../auto_examples/cluster/plot_optics.html#sphx-glr-auto-examples-cluster-plot-optics-py"><span class="std std-ref">Demo of OPTICS clustering algorithm</span></a>.</p>
<p>For a comparison of OPTICS with other clustering algorithms, see
<a class="reference internal" href="../../auto_examples/cluster/plot_cluster_comparison.html#sphx-glr-auto-examples-cluster-plot-cluster-comparison-py"><span class="std std-ref">Comparing different clustering algorithms on toy datasets</span></a></p>
<dl class="py method">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS.fit">
<span class="sig-name descname"><span class="pre">fit</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">X</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">y</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/cluster/_optics.py#L299"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS.fit" title="Link to this definition">#</a></dt>
<dd><p>Perform OPTICS clustering.</p>
<p>Extracts an ordered list of points and reachability distances, and
performs initial clustering using <code class="docutils literal notranslate"><span class="pre">max_eps</span></code> distance specified at
OPTICS object instantiation.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl class="simple">
<dt><strong>X</strong><span class="classifier">{ndarray, sparse matrix} of shape (n_samples, n_features), or                 (n_samples, n_samples) if metric=’precomputed’</span></dt><dd><p>A feature array, or array of distances between samples if
metric=’precomputed’. If a sparse matrix is provided, it will be
converted into CSR format.</p>
</dd>
<dt><strong>y</strong><span class="classifier">Ignored</span></dt><dd><p>Not used, present for API consistency by convention.</p>
</dd>
</dl>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><dl class="simple">
<dt><strong>self</strong><span class="classifier">object</span></dt><dd><p>Returns a fitted instance of self.</p>
</dd>
</dl>
</dd>
</dl>
</dd></dl>

<dl class="py method">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS.fit_predict">
<span class="sig-name descname"><span class="pre">fit_predict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">X</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">y</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/base.py#L695"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS.fit_predict" title="Link to this definition">#</a></dt>
<dd><p>Perform clustering on <code class="docutils literal notranslate"><span class="pre">X</span></code> and returns cluster labels.</p>
<dl class="field-list">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl>
<dt><strong>X</strong><span class="classifier">array-like of shape (n_samples, n_features)</span></dt><dd><p>Input data.</p>
</dd>
<dt><strong>y</strong><span class="classifier">Ignored</span></dt><dd><p>Not used, present for API consistency by convention.</p>
</dd>
<dt><strong>**kwargs</strong><span class="classifier">dict</span></dt><dd><p>Arguments to be passed to <code class="docutils literal notranslate"><span class="pre">fit</span></code>.</p>
<div class="versionadded">
<p><span class="versionmodified added">Added in version 1.4.</span></p>
</div>
</dd>
</dl>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><dl class="simple">
<dt><strong>labels</strong><span class="classifier">ndarray of shape (n_samples,), dtype=np.int64</span></dt><dd><p>Cluster labels.</p>
</dd>
</dl>
</dd>
</dl>
</dd></dl>

<dl class="py method">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS.get_metadata_routing">
<span class="sig-name descname"><span class="pre">get_metadata_routing</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/utils/_metadata_requests.py#L1500"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS.get_metadata_routing" title="Link to this definition">#</a></dt>
<dd><p>Get metadata routing of this object.</p>
<p>Please check <a class="reference internal" href="../../metadata_routing.html#metadata-routing"><span class="std std-ref">User Guide</span></a> on how the routing
mechanism works.</p>
<dl class="field-list simple">
<dt class="field-odd">Returns<span class="colon">:</span></dt>
<dd class="field-odd"><dl class="simple">
<dt><strong>routing</strong><span class="classifier">MetadataRequest</span></dt><dd><p>A <a class="reference internal" href="sklearn.utils.metadata_routing.MetadataRequest.html#sklearn.utils.metadata_routing.MetadataRequest" title="sklearn.utils.metadata_routing.MetadataRequest"><code class="xref py py-class docutils literal notranslate"><span class="pre">MetadataRequest</span></code></a> encapsulating
routing information.</p>
</dd>
</dl>
</dd>
</dl>
</dd></dl>

<dl class="py method">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS.get_params">
<span class="sig-name descname"><span class="pre">get_params</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">deep</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/base.py#L231"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS.get_params" title="Link to this definition">#</a></dt>
<dd><p>Get parameters for this estimator.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl class="simple">
<dt><strong>deep</strong><span class="classifier">bool, default=True</span></dt><dd><p>If True, will return the parameters for this estimator and
contained subobjects that are estimators.</p>
</dd>
</dl>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><dl class="simple">
<dt><strong>params</strong><span class="classifier">dict</span></dt><dd><p>Parameter names mapped to their values.</p>
</dd>
</dl>
</dd>
</dl>
</dd></dl>

<dl class="py method">
<dt class="sig sig-object py" id="sklearn.cluster.OPTICS.set_params">
<span class="sig-name descname"><span class="pre">set_params</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">params</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/scikit-learn/scikit-learn/blob/b54e4deea/sklearn/base.py#L255"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sklearn.cluster.OPTICS.set_params" title="Link to this definition">#</a></dt>
<dd><p>Set the parameters of this estimator.</p>
<p>The method works on simple estimators as well as on nested objects
(such as <a class="reference internal" href="sklearn.pipeline.Pipeline.html#sklearn.pipeline.Pipeline" title="sklearn.pipeline.Pipeline"><code class="xref py py-class docutils literal notranslate"><span class="pre">Pipeline</span></code></a>). The latter have
parameters of the form <code class="docutils literal notranslate"><span class="pre">&lt;component&gt;__&lt;parameter&gt;</span></code> so that it’s
possible to update each component of a nested object.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><dl class="simple">
<dt><strong>**params</strong><span class="classifier">dict</span></dt><dd><p>Estimator parameters.</p>
</dd>
</dl>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><dl class="simple">
<dt><strong>self</strong><span class="classifier">estimator instance</span></dt><dd><p>Estimator instance.</p>
</dd>
</dl>
</dd>
</dl>
</dd></dl>

</dd></dl>

<section id="gallery-examples">
<h2>Gallery examples<a class="headerlink" href="#gallery-examples" title="Link to this heading">#</a></h2>
<div class="sphx-glr-thumbnails"><div class="sphx-glr-thumbcontainer" tooltip="This example shows characteristics of different clustering algorithms on datasets that are &quot;interesting&quot; but still in 2D. With the exception of the last dataset, the parameters of each of these dataset-algorithm pairs has been tuned to produce good clustering results. Some algorithms are more sensitive to parameter values than others."><img alt="" src="../../_images/sphx_glr_plot_cluster_comparison_thumb.png" />
<p><a class="reference internal" href="../../auto_examples/cluster/plot_cluster_comparison.html#sphx-glr-auto-examples-cluster-plot-cluster-comparison-py"><span class="std std-ref">Comparing different clustering algorithms on toy datasets</span></a></p>
  <div class="sphx-glr-thumbnail-title">Comparing different clustering algorithms on toy datasets</div>
</div><div class="sphx-glr-thumbcontainer" tooltip="Finds core samples of high density and expands clusters from them. This example uses data that is generated so that the clusters have different densities."><img alt="" src="../../_images/sphx_glr_plot_optics_thumb.png" />
<p><a class="reference internal" href="../../auto_examples/cluster/plot_optics.html#sphx-glr-auto-examples-cluster-plot-optics-py"><span class="std std-ref">Demo of OPTICS clustering algorithm</span></a></p>
  <div class="sphx-glr-thumbnail-title">Demo of OPTICS clustering algorithm</div>
</div></div></section>
</section>


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<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS"><code class="docutils literal notranslate"><span class="pre">OPTICS</span></code></a><ul class="nav section-nav flex-column visible">
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS.fit"><code class="docutils literal notranslate"><span class="pre">fit</span></code></a></li>
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS.fit_predict"><code class="docutils literal notranslate"><span class="pre">fit_predict</span></code></a></li>
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS.get_metadata_routing"><code class="docutils literal notranslate"><span class="pre">get_metadata_routing</span></code></a></li>
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS.get_params"><code class="docutils literal notranslate"><span class="pre">get_params</span></code></a></li>
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#sklearn.cluster.OPTICS.set_params"><code class="docutils literal notranslate"><span class="pre">set_params</span></code></a></li>
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