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href="/UserGuide/V1.0.x/Operators-Functions/User-Defined-Function.html" class="nav-link sidebar-link sidebar-page" aria-label="UDF (User Defined Function)"><!---->UDF (User Defined Function)<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Aggregation.html" class="nav-link sidebar-link sidebar-page" aria-label="Aggregation"><!---->Aggregation<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Mathematical.html" class="nav-link sidebar-link sidebar-page" aria-label="Mathematical"><!---->Mathematical<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Comparison.html" class="nav-link sidebar-link sidebar-page" aria-label="Comparison"><!---->Comparison<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Logical.html" class="nav-link sidebar-link sidebar-page" aria-label="Logical"><!---->Logical<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Conversion.html" class="nav-link sidebar-link sidebar-page" aria-label="Conversion"><!---->Conversion<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Constant.html" class="nav-link sidebar-link sidebar-page" aria-label="Constant"><!---->Constant<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Selection.html" class="nav-link sidebar-link sidebar-page" aria-label="Selection"><!---->Selection<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Continuous-Interval.html" class="nav-link sidebar-link sidebar-page" aria-label="Continuous Interval"><!---->Continuous Interval<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Variation-Trend.html" class="nav-link sidebar-link sidebar-page" aria-label="Variation Trend"><!---->Variation Trend<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Sample.html" class="nav-link sidebar-link sidebar-page" aria-label="Sample"><!---->Sample<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Time-Series.html" class="nav-link sidebar-link sidebar-page" aria-label="Time-Series"><!---->Time-Series<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Lambda.html" class="nav-link sidebar-link sidebar-page" aria-label="Lambda"><!---->Lambda<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Profiling.html" class="nav-link sidebar-link sidebar-page" aria-label="Data Profiling"><!---->Data Profiling<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html" class="router-link-active router-link-exact-active nav-link active sidebar-link sidebar-page active" aria-label="Anomaly Detection"><!---->Anomaly Detection<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#iqr" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="IQR"><!---->IQR<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#ksigma" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="KSigma"><!---->KSigma<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-1" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-1" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#lof" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="LOF"><!---->LOF<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-2" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-2" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#missdetect" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="MissDetect"><!---->MissDetect<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-3" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-3" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#range" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Range"><!---->Range<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-4" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-4" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#twosidedfilter" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="TwoSidedFilter"><!---->TwoSidedFilter<!----></a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-5" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Usage"><!---->Usage<!----></a><ul class="sidebar-sub-headers"></ul></li><li class="sidebar-sub-header"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-5" class="router-link-active router-link-exact-active nav-link sidebar-link heading" aria-label="Examples"><!---->Examples<!----></a><ul class="sidebar-sub-headers"></ul></li></ul></li></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Matching.html" class="nav-link sidebar-link sidebar-page" aria-label="Data Matching"><!---->Data Matching<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Frequency-Domain.html" class="nav-link sidebar-link sidebar-page" aria-label="Frequency Domain"><!---->Frequency Domain<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Quality.html" class="nav-link sidebar-link sidebar-page" aria-label="Data Quality"><!---->Data Quality<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Repairing.html" class="nav-link sidebar-link sidebar-page" aria-label="Data Repairing"><!---->Data Repairing<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li><li><!--[--><a href="/UserGuide/V1.0.x/Operators-Functions/Series-Discovery.html" class="nav-link sidebar-link sidebar-page" aria-label="Series Discovery"><!---->Series Discovery<!----></a><ul class="sidebar-sub-headers"></ul><!--]--></li></ul></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Trigger</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Monitor and Alert</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Administration Management</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Maintenance Tools</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Collaboration of Edge and Cloud</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Ecosystem Integration</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Cluster</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">FAQ</span><span class="arrow end"></span></button><!----></section></li><li><section class="sidebar-group"><button class="sidebar-heading clickable"><!----><span class="title">Reference</span><span class="arrow end"></span></button><!----></section></li></ul><!--[--><!----><!--]--></aside><!--[--><main class="page" id="main-content"><!--[--><!----><nav class="breadcrumb disable"></nav><div class="page-title"><h1><!---->Anomaly Detection</h1><div class="page-info"><!----><!----><!----><!----><span class="page-reading-time-info" aria-label="Reading Time"><svg xmlns="http://www.w3.org/2000/svg" class="icon timer-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="timer icon"><path d="M799.387 122.15c4.402-2.978 7.38-7.897 7.38-13.463v-1.165c0-8.933-7.38-16.312-16.312-16.312H256.33c-8.933 0-16.311 7.38-16.311 16.312v1.165c0 5.825 2.977 10.874 7.637 13.592 4.143 194.44 97.22 354.963 220.201 392.763-122.204 37.542-214.893 196.511-220.2 389.397-4.661 5.049-7.638 11.651-7.638 19.03v5.825h566.49v-5.825c0-7.379-2.849-13.981-7.509-18.9-5.049-193.016-97.867-351.985-220.2-389.527 123.24-37.67 216.446-198.453 220.588-392.892zM531.16 450.445v352.632c117.674 1.553 211.787 40.778 211.787 88.676H304.097c0-48.286 95.149-87.382 213.728-88.676V450.445c-93.077-3.107-167.901-81.297-167.901-177.093 0-8.803 6.99-15.793 15.793-15.793 8.803 0 15.794 6.99 15.794 15.793 0 80.261 63.69 145.635 142.01 145.635s142.011-65.374 142.011-145.635c0-8.803 6.99-15.793 15.794-15.793s15.793 6.99 15.793 15.793c0 95.019-73.789 172.82-165.96 177.093z"></path></svg><span>About 9 min</span><meta property="timeRequired" content="PT9M"></span><!----><!----></div><hr></div><div class="toc-place-holder"><aside id="toc"><!--[--><!----><!--]--><div class="toc-header">On This Page<button class="print-button" title="Print"><svg xmlns="http://www.w3.org/2000/svg" class="icon print-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="print icon"><path d="M819.2 364.8h-44.8V128c0-17.067-14.933-32-32-32H281.6c-17.067 0-32 14.933-32 32v236.8h-44.8C145.067 364.8 96 413.867 96 473.6v192c0 59.733 49.067 108.8 108.8 108.8h44.8V896c0 17.067 14.933 32 32 32h460.8c17.067 0 32-14.933 32-32V774.4h44.8c59.733 0 108.8-49.067 108.8-108.8v-192c0-59.733-49.067-108.8-108.8-108.8zM313.6 160h396.8v204.8H313.6V160zm396.8 704H313.6V620.8h396.8V864zM864 665.6c0 25.6-19.2 44.8-44.8 44.8h-44.8V588.8c0-17.067-14.933-32-32-32H281.6c-17.067 0-32 14.933-32 32v121.6h-44.8c-25.6 0-44.8-19.2-44.8-44.8v-192c0-25.6 19.2-44.8 44.8-44.8h614.4c25.6 0 44.8 19.2 44.8 44.8v192z"></path></svg></button></div><div class="toc-wrapper"><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#iqr" class="router-link-active router-link-exact-active toc-link level2">IQR</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#ksigma" class="router-link-active router-link-exact-active toc-link level2">KSigma</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-1" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-1" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#lof" class="router-link-active router-link-exact-active toc-link level2">LOF</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-2" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-2" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#missdetect" class="router-link-active router-link-exact-active toc-link level2">MissDetect</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-3" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-3" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#range" class="router-link-active router-link-exact-active toc-link level2">Range</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-4" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-4" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#twosidedfilter" class="router-link-active router-link-exact-active toc-link level2">TwoSidedFilter</a></li><ul class="toc-list"><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#usage-5" class="router-link-active router-link-exact-active toc-link level3">Usage</a></li><!----><!--]--><!--[--><li class="toc-item"><a aria-current="page" href="/UserGuide/V1.0.x/Operators-Functions/Anomaly-Detection.html#examples-5" class="router-link-active router-link-exact-active toc-link level3">Examples</a></li><!----><!--]--></ul><!--]--></ul></div><!--[--><!----><!--]--></aside></div><!----><div class="theme-hope-content"><!--

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--><h1 id="anomaly-detection" tabindex="-1"><a class="header-anchor" href="#anomaly-detection" aria-hidden="true">#</a> Anomaly Detection</h1><h2 id="iqr" tabindex="-1"><a class="header-anchor" href="#iqr" aria-hidden="true">#</a> IQR</h2><h3 id="usage" tabindex="-1"><a class="header-anchor" href="#usage" aria-hidden="true">#</a> Usage</h3><p>This function is used to detect anomalies based on IQR. Points distributing beyond 1.5 times IQR are selected.</p><p><strong>Name:</strong> IQR</p><p><strong>Input Series:</strong> Only support a single input series. The type is INT32 / INT64 / FLOAT / DOUBLE.</p><ul><li><code>method</code>: When set to &quot;batch&quot;, anomaly test is conducted after importing all data points; when set to &quot;stream&quot;, it is required to provide upper and lower quantiles. The default method is &quot;batch&quot;.</li><li><code>q1</code>: The lower quantile when method is set to &quot;stream&quot;.</li><li><code>q3</code>: The upper quantile when method is set to &quot;stream&quot;.</li></ul><p><strong>Output Series:</strong> Output a single series. The type is DOUBLE.</p><p><strong>Note:</strong> <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>I</mi><mi>Q</mi><mi>R</mi><mo>=</mo><msub><mi>Q</mi><mn>3</mn></msub><mo>−</mo><msub><mi>Q</mi><mn>1</mn></msub></mrow><annotation encoding="application/x-tex">IQR=Q_3-Q_1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.07847em;">I</span><span class="mord mathnormal" style="margin-right:0.00773em;">QR</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord"><span class="mord mathnormal">Q</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord"><span class="mord mathnormal">Q</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></p><h3 id="examples" tabindex="-1"><a class="header-anchor" href="#examples" aria-hidden="true">#</a> Examples</h3><h4 id="batch-computing" tabindex="-1"><a class="header-anchor" href="#batch-computing" aria-hidden="true">#</a> Batch computing</h4><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+------------+
|                         Time|root.test.s1|
+-----------------------------+------------+
|1970-01-01T08:00:00.100+08:00|         0.0|
|1970-01-01T08:00:00.200+08:00|         0.0|
|1970-01-01T08:00:00.300+08:00|         1.0|
|1970-01-01T08:00:00.400+08:00|        -1.0|
|1970-01-01T08:00:00.500+08:00|         0.0|
|1970-01-01T08:00:00.600+08:00|         0.0|
|1970-01-01T08:00:00.700+08:00|        -2.0|
|1970-01-01T08:00:00.800+08:00|         2.0|
|1970-01-01T08:00:00.900+08:00|         0.0|
|1970-01-01T08:00:01.000+08:00|         0.0|
|1970-01-01T08:00:01.100+08:00|         1.0|
|1970-01-01T08:00:01.200+08:00|        -1.0|
|1970-01-01T08:00:01.300+08:00|        -1.0|
|1970-01-01T08:00:01.400+08:00|         1.0|
|1970-01-01T08:00:01.500+08:00|         0.0|
|1970-01-01T08:00:01.600+08:00|         0.0|
|1970-01-01T08:00:01.700+08:00|        10.0|
|1970-01-01T08:00:01.800+08:00|         2.0|
|1970-01-01T08:00:01.900+08:00|        -2.0|
|1970-01-01T08:00:02.000+08:00|         0.0|
+-----------------------------+------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> iqr<span class="token punctuation">(</span>s1<span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+-----------------+
|                         Time|iqr(root.test.s1)|
+-----------------------------+-----------------+
|1970-01-01T08:00:01.700+08:00|             10.0|
+-----------------------------+-----------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="ksigma" tabindex="-1"><a class="header-anchor" href="#ksigma" aria-hidden="true">#</a> KSigma</h2><h3 id="usage-1" tabindex="-1"><a class="header-anchor" href="#usage-1" aria-hidden="true">#</a> Usage</h3><p>This function is used to detect anomalies based on the Dynamic K-Sigma Algorithm. Within a sliding window, the input value with a deviation of more than k times the standard deviation from the average will be output as anomaly.</p><p><strong>Name:</strong> KSIGMA</p><p><strong>Input Series:</strong> Only support a single input series. The type is INT32 / INT64 / FLOAT / DOUBLE.</p><ul><li><code>k</code>: How many times to multiply on standard deviation to define anomaly, the default value is 3.</li><li><code>window</code>: The window size of Dynamic K-Sigma Algorithm, the default value is 10000.</li></ul><p><strong>Output Series:</strong> Output a single series. The type is same as input series.</p><p><strong>Note:</strong> Only when is larger than 0, the anomaly detection will be performed. Otherwise, nothing will be output.</p><h3 id="examples-1" tabindex="-1"><a class="header-anchor" href="#examples-1" aria-hidden="true">#</a> Examples</h3><h4 id="assigning-k" tabindex="-1"><a class="header-anchor" href="#assigning-k" aria-hidden="true">#</a> Assigning k</h4><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+
|                         Time|root.test.d1.s1|
+-----------------------------+---------------+
|2020-01-01T00:00:02.000+08:00|            0.0|
|2020-01-01T00:00:03.000+08:00|           50.0|
|2020-01-01T00:00:04.000+08:00|          100.0|
|2020-01-01T00:00:06.000+08:00|          150.0|
|2020-01-01T00:00:08.000+08:00|          200.0|
|2020-01-01T00:00:10.000+08:00|          200.0|
|2020-01-01T00:00:14.000+08:00|          200.0|
|2020-01-01T00:00:15.000+08:00|          200.0|
|2020-01-01T00:00:16.000+08:00|          200.0|
|2020-01-01T00:00:18.000+08:00|          200.0|
|2020-01-01T00:00:20.000+08:00|          150.0|
|2020-01-01T00:00:22.000+08:00|          100.0|
|2020-01-01T00:00:26.000+08:00|           50.0|
|2020-01-01T00:00:28.000+08:00|            0.0|
|2020-01-01T00:00:30.000+08:00|            NaN|
+-----------------------------+---------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> ksigma<span class="token punctuation">(</span>s1<span class="token punctuation">,</span><span class="token string">&quot;k&quot;</span><span class="token operator">=</span><span class="token string">&quot;1.0&quot;</span><span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test<span class="token punctuation">.</span>d1 <span class="token keyword">where</span> <span class="token keyword">time</span> <span class="token operator">&lt;=</span> <span class="token number">2020</span><span class="token operator">-</span><span class="token number">01</span><span class="token operator">-</span><span class="token number">01</span> <span class="token number">00</span>:<span class="token number">00</span>:<span class="token number">30</span>
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------------------------+
|Time                         |ksigma(root.test.d1.s1,&quot;k&quot;=&quot;3.0&quot;)|
+-----------------------------+---------------------------------+
|2020-01-01T00:00:02.000+08:00|                              0.0|
|2020-01-01T00:00:03.000+08:00|                             50.0|
|2020-01-01T00:00:26.000+08:00|                             50.0|
|2020-01-01T00:00:28.000+08:00|                              0.0|
+-----------------------------+---------------------------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="lof" tabindex="-1"><a class="header-anchor" href="#lof" aria-hidden="true">#</a> LOF</h2><h3 id="usage-2" tabindex="-1"><a class="header-anchor" href="#usage-2" aria-hidden="true">#</a> Usage</h3><p>This function is used to detect density anomaly of time series. According to k-th distance calculation parameter and local outlier factor (lof) threshold, the function judges if a set of input values is an density anomaly, and a bool mark of anomaly values will be output.</p><p><strong>Name:</strong> LOF</p><p><strong>Input Series:</strong> Multiple input series. The type is INT32 / INT64 / FLOAT / DOUBLE.</p><ul><li><code>method</code>:assign a detection method. The default value is &quot;default&quot;, when input data has multiple dimensions. The alternative is &quot;series&quot;, when a input series will be transformed to high dimension.</li><li><code>k</code>:use the k-th distance to calculate lof. Default value is 3.</li><li><code>window</code>: size of window to split origin data points. Default value is 10000.</li><li><code>windowsize</code>:dimension that will be transformed into when method is &quot;series&quot;. The default value is 5.</li></ul><p><strong>Output Series:</strong> Output a single series. The type is DOUBLE.</p><p><strong>Note:</strong> Incomplete rows will be ignored. They are neither calculated nor marked as anomaly.</p><h3 id="examples-2" tabindex="-1"><a class="header-anchor" href="#examples-2" aria-hidden="true">#</a> Examples</h3><h4 id="using-default-parameters" tabindex="-1"><a class="header-anchor" href="#using-default-parameters" aria-hidden="true">#</a> Using default parameters</h4><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+---------------+
|                         Time|root.test.d1.s1|root.test.d1.s2|
+-----------------------------+---------------+---------------+
|1970-01-01T08:00:00.100+08:00|            0.0|            0.0|
|1970-01-01T08:00:00.200+08:00|            0.0|            1.0|
|1970-01-01T08:00:00.300+08:00|            1.0|            1.0|
|1970-01-01T08:00:00.400+08:00|            1.0|            0.0|
|1970-01-01T08:00:00.500+08:00|            0.0|           -1.0|
|1970-01-01T08:00:00.600+08:00|           -1.0|           -1.0|
|1970-01-01T08:00:00.700+08:00|           -1.0|            0.0|
|1970-01-01T08:00:00.800+08:00|            2.0|            2.0|
|1970-01-01T08:00:00.900+08:00|            0.0|           null|
+-----------------------------+---------------+---------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> lof<span class="token punctuation">(</span>s1<span class="token punctuation">,</span>s2<span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test<span class="token punctuation">.</span>d1 <span class="token keyword">where</span> <span class="token keyword">time</span><span class="token operator">&lt;</span><span class="token number">1000</span>
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+-------------------------------------+
|                         Time|lof(root.test.d1.s1, root.test.d1.s2)|
+-----------------------------+-------------------------------------+
|1970-01-01T08:00:00.100+08:00|                   3.8274824267668244|
|1970-01-01T08:00:00.200+08:00|                   3.0117631741126156|
|1970-01-01T08:00:00.300+08:00|                    2.838155437762879|
|1970-01-01T08:00:00.400+08:00|                   3.0117631741126156|
|1970-01-01T08:00:00.500+08:00|                     2.73518261244453|
|1970-01-01T08:00:00.600+08:00|                    2.371440975708148|
|1970-01-01T08:00:00.700+08:00|                     2.73518261244453|
|1970-01-01T08:00:00.800+08:00|                   1.7561416374270742|
+-----------------------------+-------------------------------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h4 id="diagnosing-1d-timeseries" tabindex="-1"><a class="header-anchor" href="#diagnosing-1d-timeseries" aria-hidden="true">#</a> Diagnosing 1d timeseries</h4><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+
|                         Time|root.test.d1.s1|
+-----------------------------+---------------+
|1970-01-01T08:00:00.100+08:00|            1.0|
|1970-01-01T08:00:00.200+08:00|            2.0|
|1970-01-01T08:00:00.300+08:00|            3.0|
|1970-01-01T08:00:00.400+08:00|            4.0|
|1970-01-01T08:00:00.500+08:00|            5.0|
|1970-01-01T08:00:00.600+08:00|            6.0|
|1970-01-01T08:00:00.700+08:00|            7.0|
|1970-01-01T08:00:00.800+08:00|            8.0|
|1970-01-01T08:00:00.900+08:00|            9.0|
|1970-01-01T08:00:01.000+08:00|           10.0|
|1970-01-01T08:00:01.100+08:00|           11.0|
|1970-01-01T08:00:01.200+08:00|           12.0|
|1970-01-01T08:00:01.300+08:00|           13.0|
|1970-01-01T08:00:01.400+08:00|           14.0|
|1970-01-01T08:00:01.500+08:00|           15.0|
|1970-01-01T08:00:01.600+08:00|           16.0|
|1970-01-01T08:00:01.700+08:00|           17.0|
|1970-01-01T08:00:01.800+08:00|           18.0|
|1970-01-01T08:00:01.900+08:00|           19.0|
|1970-01-01T08:00:02.000+08:00|           20.0|
+-----------------------------+---------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> lof<span class="token punctuation">(</span>s1<span class="token punctuation">,</span> <span class="token string">&quot;method&quot;</span><span class="token operator">=</span><span class="token string">&quot;series&quot;</span><span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test<span class="token punctuation">.</span>d1 <span class="token keyword">where</span> <span class="token keyword">time</span><span class="token operator">&lt;</span><span class="token number">1000</span>
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+--------------------+
|                         Time|lof(root.test.d1.s1)|
+-----------------------------+--------------------+
|1970-01-01T08:00:00.100+08:00|    3.77777777777778|
|1970-01-01T08:00:00.200+08:00|    4.32727272727273|
|1970-01-01T08:00:00.300+08:00|    4.85714285714286|
|1970-01-01T08:00:00.400+08:00|    5.40909090909091|
|1970-01-01T08:00:00.500+08:00|    5.94999999999999|
|1970-01-01T08:00:00.600+08:00|    6.43243243243243|
|1970-01-01T08:00:00.700+08:00|    6.79999999999999|
|1970-01-01T08:00:00.800+08:00|                 7.0|
|1970-01-01T08:00:00.900+08:00|                 7.0|
|1970-01-01T08:00:01.000+08:00|    6.79999999999999|
|1970-01-01T08:00:01.100+08:00|    6.43243243243243|
|1970-01-01T08:00:01.200+08:00|    5.94999999999999|
|1970-01-01T08:00:01.300+08:00|    5.40909090909091|
|1970-01-01T08:00:01.400+08:00|    4.85714285714286|
|1970-01-01T08:00:01.500+08:00|    4.32727272727273|
|1970-01-01T08:00:01.600+08:00|    3.77777777777778|
+-----------------------------+--------------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="missdetect" tabindex="-1"><a class="header-anchor" href="#missdetect" aria-hidden="true">#</a> MissDetect</h2><h3 id="usage-3" tabindex="-1"><a class="header-anchor" href="#usage-3" aria-hidden="true">#</a> Usage</h3><p>This function is used to detect missing anomalies. In some datasets, missing values are filled by linear interpolation. Thus, there are several long perfect linear segments. By discovering these perfect linear segments, missing anomalies are detected.</p><p><strong>Name:</strong> MISSDETECT</p><p><strong>Input Series:</strong> Only support a single input series. The data type is INT32 / INT64 / FLOAT / DOUBLE.</p><p><strong>Parameter:</strong></p><p><code>error</code>: The minimum length of the detected missing anomalies, which is an integer greater than or equal to 10. By default, it is 10.</p><p><strong>Output Series:</strong> Output a single series. The type is BOOLEAN. Each data point which is miss anomaly will be labeled as true.</p><h3 id="examples-3" tabindex="-1"><a class="header-anchor" href="#examples-3" aria-hidden="true">#</a> Examples</h3><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+
|                         Time|root.test.d2.s2|
+-----------------------------+---------------+
|2021-07-01T12:00:00.000+08:00|            0.0|
|2021-07-01T12:00:01.000+08:00|            1.0|
|2021-07-01T12:00:02.000+08:00|            0.0|
|2021-07-01T12:00:03.000+08:00|            1.0|
|2021-07-01T12:00:04.000+08:00|            0.0|
|2021-07-01T12:00:05.000+08:00|            0.0|
|2021-07-01T12:00:06.000+08:00|            0.0|
|2021-07-01T12:00:07.000+08:00|            0.0|
|2021-07-01T12:00:08.000+08:00|            0.0|
|2021-07-01T12:00:09.000+08:00|            0.0|
|2021-07-01T12:00:10.000+08:00|            0.0|
|2021-07-01T12:00:11.000+08:00|            0.0|
|2021-07-01T12:00:12.000+08:00|            0.0|
|2021-07-01T12:00:13.000+08:00|            0.0|
|2021-07-01T12:00:14.000+08:00|            0.0|
|2021-07-01T12:00:15.000+08:00|            0.0|
|2021-07-01T12:00:16.000+08:00|            1.0|
|2021-07-01T12:00:17.000+08:00|            0.0|
|2021-07-01T12:00:18.000+08:00|            1.0|
|2021-07-01T12:00:19.000+08:00|            0.0|
|2021-07-01T12:00:20.000+08:00|            1.0|
+-----------------------------+---------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> missdetect<span class="token punctuation">(</span>s2<span class="token punctuation">,</span><span class="token string">&#39;minlen&#39;</span><span class="token operator">=</span><span class="token string">&#39;10&#39;</span><span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test<span class="token punctuation">.</span>d2
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+------------------------------------------+
|                         Time|missdetect(root.test.d2.s2, &quot;minlen&quot;=&quot;10&quot;)|
+-----------------------------+------------------------------------------+
|2021-07-01T12:00:00.000+08:00|                                     false|
|2021-07-01T12:00:01.000+08:00|                                     false|
|2021-07-01T12:00:02.000+08:00|                                     false|
|2021-07-01T12:00:03.000+08:00|                                     false|
|2021-07-01T12:00:04.000+08:00|                                      true|
|2021-07-01T12:00:05.000+08:00|                                      true|
|2021-07-01T12:00:06.000+08:00|                                      true|
|2021-07-01T12:00:07.000+08:00|                                      true|
|2021-07-01T12:00:08.000+08:00|                                      true|
|2021-07-01T12:00:09.000+08:00|                                      true|
|2021-07-01T12:00:10.000+08:00|                                      true|
|2021-07-01T12:00:11.000+08:00|                                      true|
|2021-07-01T12:00:12.000+08:00|                                      true|
|2021-07-01T12:00:13.000+08:00|                                      true|
|2021-07-01T12:00:14.000+08:00|                                      true|
|2021-07-01T12:00:15.000+08:00|                                      true|
|2021-07-01T12:00:16.000+08:00|                                     false|
|2021-07-01T12:00:17.000+08:00|                                     false|
|2021-07-01T12:00:18.000+08:00|                                     false|
|2021-07-01T12:00:19.000+08:00|                                     false|
|2021-07-01T12:00:20.000+08:00|                                     false|
+-----------------------------+------------------------------------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="range" tabindex="-1"><a class="header-anchor" href="#range" aria-hidden="true">#</a> Range</h2><h3 id="usage-4" tabindex="-1"><a class="header-anchor" href="#usage-4" aria-hidden="true">#</a> Usage</h3><p>This function is used to detect range anomaly of time series. According to upper bound and lower bound parameters, the function judges if a input value is beyond range, aka range anomaly, and a new time series of anomaly will be output.</p><p><strong>Name:</strong> RANGE</p><p><strong>Input Series:</strong> Only support a single input series. The type is INT32 / INT64 / FLOAT / DOUBLE.</p><ul><li><code>lower_bound</code>:lower bound of range anomaly detection.</li><li><code>upper_bound</code>:upper bound of range anomaly detection.</li></ul><p><strong>Output Series:</strong> Output a single series. The type is the same as the input.</p><p><strong>Note:</strong> Only when <code>upper_bound</code> is larger than <code>lower_bound</code>, the anomaly detection will be performed. Otherwise, nothing will be output.</p><h3 id="examples-4" tabindex="-1"><a class="header-anchor" href="#examples-4" aria-hidden="true">#</a> Examples</h3><h4 id="assigning-lower-and-upper-bound" tabindex="-1"><a class="header-anchor" href="#assigning-lower-and-upper-bound" aria-hidden="true">#</a> Assigning Lower and Upper Bound</h4><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+
|                         Time|root.test.d1.s1|
+-----------------------------+---------------+
|2020-01-01T00:00:02.000+08:00|          100.0|
|2020-01-01T00:00:03.000+08:00|          101.0|
|2020-01-01T00:00:04.000+08:00|          102.0|
|2020-01-01T00:00:06.000+08:00|          104.0|
|2020-01-01T00:00:08.000+08:00|          126.0|
|2020-01-01T00:00:10.000+08:00|          108.0|
|2020-01-01T00:00:14.000+08:00|          112.0|
|2020-01-01T00:00:15.000+08:00|          113.0|
|2020-01-01T00:00:16.000+08:00|          114.0|
|2020-01-01T00:00:18.000+08:00|          116.0|
|2020-01-01T00:00:20.000+08:00|          118.0|
|2020-01-01T00:00:22.000+08:00|          120.0|
|2020-01-01T00:00:26.000+08:00|          124.0|
|2020-01-01T00:00:28.000+08:00|          126.0|
|2020-01-01T00:00:30.000+08:00|            NaN|
+-----------------------------+---------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> range<span class="token punctuation">(</span>s1<span class="token punctuation">,</span><span class="token string">&quot;lower_bound&quot;</span><span class="token operator">=</span><span class="token string">&quot;101.0&quot;</span><span class="token punctuation">,</span><span class="token string">&quot;upper_bound&quot;</span><span class="token operator">=</span><span class="token string">&quot;125.0&quot;</span><span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test<span class="token punctuation">.</span>d1 <span class="token keyword">where</span> <span class="token keyword">time</span> <span class="token operator">&lt;=</span> <span class="token number">2020</span><span class="token operator">-</span><span class="token number">01</span><span class="token operator">-</span><span class="token number">01</span> <span class="token number">00</span>:<span class="token number">00</span>:<span class="token number">30</span>
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+------------------------------------------------------------------+
|Time                         |range(root.test.d1.s1,&quot;lower_bound&quot;=&quot;101.0&quot;,&quot;upper_bound&quot;=&quot;125.0&quot;)|
+-----------------------------+------------------------------------------------------------------+
|2020-01-01T00:00:02.000+08:00|                                                             100.0|
|2020-01-01T00:00:28.000+08:00|                                                             126.0|
+-----------------------------+------------------------------------------------------------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="twosidedfilter" tabindex="-1"><a class="header-anchor" href="#twosidedfilter" aria-hidden="true">#</a> TwoSidedFilter</h2><h3 id="usage-5" tabindex="-1"><a class="header-anchor" href="#usage-5" aria-hidden="true">#</a> Usage</h3><p>The function is used to filter anomalies of a numeric time series based on two-sided window detection.</p><p><strong>Name:</strong> TWOSIDEDFILTER</p><p><strong>Input Series:</strong> Only support a single input series. The data type is INT32 / INT64 / FLOAT / DOUBLE</p><p><strong>Output Series:</strong> Output a single series. The type is the same as the input. It is the input without anomalies.</p><p><strong>Parameter:</strong></p><ul><li><p><code>len</code>: The size of the window, which is a positive integer. By default, it&#39;s 5. When <code>len</code>=3, the algorithm detects forward window and backward window with length 3 and calculates the outlierness of the current point.</p></li><li><p><code>threshold</code>: The threshold of outlierness, which is a floating number in (0,1). By default, it&#39;s 0.3. The strict standard of detecting anomalies is in proportion to the threshold.</p></li></ul><h3 id="examples-5" tabindex="-1"><a class="header-anchor" href="#examples-5" aria-hidden="true">#</a> Examples</h3><p>Input series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+------------+
|                         Time|root.test.s0|
+-----------------------------+------------+
|1970-01-01T08:00:00.000+08:00|      2002.0|
|1970-01-01T08:00:01.000+08:00|      1946.0|
|1970-01-01T08:00:02.000+08:00|      1958.0|
|1970-01-01T08:00:03.000+08:00|      2012.0|
|1970-01-01T08:00:04.000+08:00|      2051.0|
|1970-01-01T08:00:05.000+08:00|      1898.0|
|1970-01-01T08:00:06.000+08:00|      2014.0|
|1970-01-01T08:00:07.000+08:00|      2052.0|
|1970-01-01T08:00:08.000+08:00|      1935.0|
|1970-01-01T08:00:09.000+08:00|      1901.0|
|1970-01-01T08:00:10.000+08:00|      1972.0|
|1970-01-01T08:00:11.000+08:00|      1969.0|
|1970-01-01T08:00:12.000+08:00|      1984.0|
|1970-01-01T08:00:13.000+08:00|      2018.0|
|1970-01-01T08:00:37.000+08:00|      1484.0|
|1970-01-01T08:00:38.000+08:00|      1055.0|
|1970-01-01T08:00:39.000+08:00|      1050.0|
|1970-01-01T08:01:05.000+08:00|      1023.0|
|1970-01-01T08:01:06.000+08:00|      1056.0|
|1970-01-01T08:01:07.000+08:00|       978.0|
|1970-01-01T08:01:08.000+08:00|      1050.0|
|1970-01-01T08:01:09.000+08:00|      1123.0|
|1970-01-01T08:01:10.000+08:00|      1150.0|
|1970-01-01T08:01:11.000+08:00|      1034.0|
|1970-01-01T08:01:12.000+08:00|       950.0|
|1970-01-01T08:01:13.000+08:00|      1059.0|
+-----------------------------+------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><p>SQL for query:</p><div class="language-sql line-numbers-mode" data-ext="sql"><pre class="language-sql"><code><span class="token keyword">select</span> TwoSidedFilter<span class="token punctuation">(</span>s0<span class="token punctuation">,</span> <span class="token string">&#39;len&#39;</span><span class="token operator">=</span><span class="token string">&#39;5&#39;</span><span class="token punctuation">,</span> <span class="token string">&#39;threshold&#39;</span><span class="token operator">=</span><span class="token string">&#39;0.3&#39;</span><span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>test
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Output series:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+------------+
|                         Time|root.test.s0|
+-----------------------------+------------+
|1970-01-01T08:00:00.000+08:00|      2002.0|
|1970-01-01T08:00:01.000+08:00|      1946.0|
|1970-01-01T08:00:02.000+08:00|      1958.0|
|1970-01-01T08:00:03.000+08:00|      2012.0|
|1970-01-01T08:00:04.000+08:00|      2051.0|
|1970-01-01T08:00:05.000+08:00|      1898.0|
|1970-01-01T08:00:06.000+08:00|      2014.0|
|1970-01-01T08:00:07.000+08:00|      2052.0|
|1970-01-01T08:00:08.000+08:00|      1935.0|
|1970-01-01T08:00:09.000+08:00|      1901.0|
|1970-01-01T08:00:10.000+08:00|      1972.0|
|1970-01-01T08:00:11.000+08:00|      1969.0|
|1970-01-01T08:00:12.000+08:00|      1984.0|
|1970-01-01T08:00:13.000+08:00|      2018.0|
|1970-01-01T08:01:05.000+08:00|      1023.0|
|1970-01-01T08:01:06.000+08:00|      1056.0|
|1970-01-01T08:01:07.000+08:00|       978.0|
|1970-01-01T08:01:08.000+08:00|      1050.0|
|1970-01-01T08:01:09.000+08:00|      1123.0|
|1970-01-01T08:01:10.000+08:00|      1150.0|
|1970-01-01T08:01:11.000+08:00|      1034.0|
|1970-01-01T08:01:12.000+08:00|       950.0|
|1970-01-01T08:01:13.000+08:00|      1059.0|
+-----------------------------+------------+
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div></div><!----><footer class="page-meta"><div class="meta-item edit-link"><a href="https://github.com/apache/iotdb/edit/rel/1.0/docs/UserGuide/Operators-Functions/Anomaly-Detection.md" rel="noopener noreferrer" target="_blank" aria-label="Found Error? Edit this page on GitHub" class="nav-link label"><!--[--><svg xmlns="http://www.w3.org/2000/svg" class="icon edit-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="edit icon"><path d="M430.818 653.65a60.46 60.46 0 0 1-50.96-93.281l71.69-114.012 7.773-10.365L816.038 80.138A60.46 60.46 0 0 1 859.225 62a60.46 60.46 0 0 1 43.186 18.138l43.186 43.186a60.46 60.46 0 0 1 0 86.373L588.879 565.55l-8.637 8.637-117.466 68.234a60.46 60.46 0 0 1-31.958 11.229z"></path><path d="M728.802 962H252.891A190.883 190.883 0 0 1 62.008 771.98V296.934a190.883 190.883 0 0 1 190.883-192.61h267.754a60.46 60.46 0 0 1 0 120.92H252.891a69.962 69.962 0 0 0-69.098 69.099V771.98a69.962 69.962 0 0 0 69.098 69.098h475.911A69.962 69.962 0 0 0 797.9 771.98V503.363a60.46 60.46 0 1 1 120.922 0V771.98A190.883 190.883 0 0 1 728.802 962z"></path></svg><!--]-->Found Error? Edit this page on GitHub<span><svg class="external-link-icon" xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path><polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg><span class="external-link-icon-sr-only">open in new window</span></span><!----></a></div><div class="meta-item git-info"><!----><!----></div></footer><nav class="page-nav"><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Profiling.html" class="nav-link prev" aria-label="Data Profiling"><div class="hint"><span class="arrow start"></span>Prev</div><div class="link"><!---->Data Profiling</div></a><a href="/UserGuide/V1.0.x/Operators-Functions/Data-Matching.html" class="nav-link next" aria-label="Data Matching"><div class="hint">Next<span class="arrow end"></span></div><div class="link">Data Matching<!----></div></a></nav><!----><!----><!--]--></main><!--]--><footer style="padding-bottom:2rem;"><span id="doc-version" style="display:none;">rel/1.0</span><p style="text-align:center;color:#909399;font-size:12px;margin:0 30px;">Copyright © 2023 The Apache Software Foundation.<br> Apache and the Apache feather logo are trademarks of The Apache Software Foundation</p><p style="text-align:center;margin-top:10px;color:#909399;font-size:12px;margin:0 30px;"><strong>Have a question?</strong> Connect with us on QQ, WeChat, or Slack. <a href="https://github.com/apache/iotdb/issues/1995">Join the community</a> now.</p><p style="text-align:center;margin-top:10px;color:#909399;font-size:12px;margin:0 30px;"> We use <a href="https://analytics.google.com">Google Analytics</a> to collect anonymous, aggregated usage information. </p></footer></div><!--]--><!--]--><!----><!--]--></div>
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