Tuesday Slides
|
@ -92,6 +92,8 @@ schedule:
|
||||||
count_min_sketch: https://ieeexplore-ieee-org.gate.lib.buffalo.edu/document/6042851
|
count_min_sketch: https://ieeexplore-ieee-org.gate.lib.buffalo.edu/document/6042851
|
||||||
- date: "Mar. 30"
|
- date: "Mar. 30"
|
||||||
topic: "Streaming Queries"
|
topic: "Streaming Queries"
|
||||||
|
materials:
|
||||||
|
slides: slide/2021-03-30-StreamingQueries.html
|
||||||
- date: "Apr. 1"
|
- date: "Apr. 1"
|
||||||
topic: "Data Updates + Incremental View Maintenance"
|
topic: "Data Updates + Incremental View Maintenance"
|
||||||
due: "Checkpoint 2"
|
due: "Checkpoint 2"
|
||||||
|
|
|
@ -0,0 +1,272 @@
|
||||||
|
---
|
||||||
|
template: templates/cse4562_2021_slides.erb
|
||||||
|
title: Streaming Queries
|
||||||
|
date: March 30, 2021
|
||||||
|
textbook:
|
||||||
|
---
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>Sequential Data</h3>
|
||||||
|
<ul>
|
||||||
|
<li>Temporal Data (today's focus)</li>
|
||||||
|
<li>Bi-Temporal (time the event happened + time the event was recorded)</li>
|
||||||
|
<li>Spatial (2d data, 3d data)</li>
|
||||||
|
<li>Spatio-Temporal Data (Spatial + Time)</li>
|
||||||
|
</ul>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>Example Queries</h3>
|
||||||
|
|
||||||
|
<p style="font-weight: bold;">Find the % change in monthly sales, each month</p>
|
||||||
|
|
||||||
|
<pre class="fragment"><code class="sql">
|
||||||
|
SELECT A.Month, (A.Sales-B.Sales) / B.Sales
|
||||||
|
FROM (SELECT … AS Month, SUM(…) AS Sales FROM …) A,
|
||||||
|
(SELECT … AS Month, SUM(…) AS Sales FROM …) B
|
||||||
|
WHERE A.Month = B.Month + 1
|
||||||
|
</code></pre>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>Example Queries</h3>
|
||||||
|
|
||||||
|
<p style="font-weight: bold;">Find the % change in monthly sales, each month</p>
|
||||||
|
|
||||||
|
<svg data-src="2021-03-30/OffsetJoin.svg" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>Example Queries</h3>
|
||||||
|
|
||||||
|
<p style="font-weight: bold;">Find the daily top-5 products by sales in the last week</p>
|
||||||
|
|
||||||
|
<pre class="fragment"><code class="sql">
|
||||||
|
SELECT Product, SUM(…) AS Sales FROM … WHERE date = today - 1
|
||||||
|
ORDER BY Sales Desc LIMIT 5 UNION ALL
|
||||||
|
SELECT Product, SUM(…) AS Sales FROM … WHERE date = today - 2
|
||||||
|
ORDER BY Sales Desc LIMIT 5 UNION ALL …
|
||||||
|
</code></pre>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>Example Queries</h3>
|
||||||
|
|
||||||
|
<p style="font-weight: bold;">Find the trailing n-day moving average of sales</p>
|
||||||
|
|
||||||
|
<p class="fragment" style="margin-top: 100px;">… almost impossible to express if n is a parameter<br/>(i.e., query size depends on N)</p>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>The <code>WINDOW</code> Operator</h3>
|
||||||
|
<ol>
|
||||||
|
<li class="fragment">Define a Sequence (i.e., sort the relation)</li>
|
||||||
|
<li class="fragment">Compute all subsequences<ul>
|
||||||
|
<li>Fixed <u>Physical</u> Size: N records exactly.</li>
|
||||||
|
<li>Fixed <u>Logical</u> Size: Records within N units of time.</li>
|
||||||
|
</ul></li>
|
||||||
|
<li class="fragment">Compute an aggregate for each subsequence (one output row per subsequence)</li>
|
||||||
|
</ol>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<pre><code class="sql">
|
||||||
|
SELECT L.state, T.month,
|
||||||
|
AVG(S.sales) OVER W as movavg
|
||||||
|
FROM Sales S, Times T, Locations L
|
||||||
|
WHERE S.timeid = T.timeid
|
||||||
|
AND S.locid = L.locid
|
||||||
|
WINDOW W AS (
|
||||||
|
PARTITION BY L.state
|
||||||
|
ORDER BY T.month
|
||||||
|
RANGE BETWEEN INTERVAL ‘1’ MONTH PRECEDING
|
||||||
|
AND INTERVAL ‘1’ MONTH FOLLOWING
|
||||||
|
)
|
||||||
|
</code></pre>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/Windows.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<dl>
|
||||||
|
<div>
|
||||||
|
<dt><code>PARTITION BY</code></dt>
|
||||||
|
<dd class="fragment">Like <code>GROUP BY</code></dd>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div>
|
||||||
|
<dt><code>ORDER BY</code></dt>
|
||||||
|
<dd class="fragment">The sequence to create. The output has one row for each value of this column.</dd>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div>
|
||||||
|
<dt><code>RANGE BETWEEN ... AND ...</code></dt>
|
||||||
|
<dd class="fragment">Physical/Logical size of the window</dd>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div>
|
||||||
|
<dt><code>[Aggregate] OVER [WindowName]</code></dt>
|
||||||
|
<dd class="fragment">A single query can have multiple windows.</dd>
|
||||||
|
</div>
|
||||||
|
</dl>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<dl>
|
||||||
|
<dt>OLAP</dt>
|
||||||
|
<dd>Changing Queries, Fixed Data</dd>
|
||||||
|
|
||||||
|
<dt>OLTP</dt>
|
||||||
|
<dd>Changing Data, Minimal Queries</dd>
|
||||||
|
|
||||||
|
<div class="fragment">
|
||||||
|
<dt>Streaming</dt>
|
||||||
|
<dd>Changing Data, Fixed Queries</dd>
|
||||||
|
</div>
|
||||||
|
</dl>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<p><b>Challenge: </b> Need to react to new data <u>as it arrives</u></p>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>Streaming Queries</h3>
|
||||||
|
<ul>
|
||||||
|
<li class="fragment">Push vs Pull Data Flow</li>
|
||||||
|
<li class="fragment">Revisit Joins</li>
|
||||||
|
<li class="fragment">Revisit Indexing</li>
|
||||||
|
<li class="fragment">Revisit Aggregation</li>
|
||||||
|
</ul>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/PushVsPull.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<ul>
|
||||||
|
<li class="fragment">Each operator operates independently</li>
|
||||||
|
<li class="fragment">Each operator buffers input</li>
|
||||||
|
<li class="fragment">Operators are scheduled <span class="fragment">(possibly in different threads)</span></li>
|
||||||
|
</ul>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>Stream Joins</h3>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/StreamJoin.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<ul>
|
||||||
|
<li><b>Problem 1: </b> Eventually run out of buffer!</li>
|
||||||
|
<li><b>Problem 2: </b> Looping over all buffer entries is slow</li>
|
||||||
|
</ul>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<p><b>Idea 1: </b> Mandate ONLY <code>WINDOW</code> queries</p>
|
||||||
|
<p class="fragment" style="margin-top: 50px;"><b>Idea 2: </b> Index the buffer!</p>
|
||||||
|
|
||||||
|
<p class="fragment" style="margin-top: 100px;"><b>Challenge: </b> Maintaining the index as tuples fall out of the buffer</p>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>Streaming Indexes</h3>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<img src="2021-03-30/Windows.svg" />
|
||||||
|
<p class="fragment">Tuples always enter from one side and exit out the other</p>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<img src="2021-03-30/StreamJoin.svg" height="400px;" />
|
||||||
|
<p class="fragment">Lots of lookups for active tuples.</p>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<h3>What is the best layout?</h3>
|
||||||
|
<dl>
|
||||||
|
<div class="fragment">
|
||||||
|
<dt>Queue/Linked List</dt>
|
||||||
|
<dd>Insert/remove in (nearly) temporal order</dd>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div class="fragment">
|
||||||
|
<dt>Hash/Tree</dt>
|
||||||
|
<dd>Lookup (randomly ordered) Join Key</dd>
|
||||||
|
</div>
|
||||||
|
</dl>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/LinkedIndex.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<p>$O(1 + log(|W|))$ insertions.</p>
|
||||||
|
<p>$O(1 + log(|W|))$ expiration.</p>
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>Streaming Aggregation</h3>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/Window-Sum.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/Window-Max.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<dl>
|
||||||
|
<dt>Ring Aggregates (Sum, Count, Average)</dt>
|
||||||
|
<dd>Add new values - $O(|\Delta|)$</dd>
|
||||||
|
<dd>Subtract old values - $O(|\Delta|)$</dd>
|
||||||
|
|
||||||
|
<dt>Semiring Aggregates (Min, Max)</dt>
|
||||||
|
<dd>Rescan for new max - $O(|W|)$</dd>
|
||||||
|
</dl>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<svg data-src="2021-03-30/Window-MaxTree.svg" class="stretch" />
|
||||||
|
</section>
|
||||||
|
</section>
|
||||||
|
|
||||||
|
<section>
|
||||||
|
<section>
|
||||||
|
<h3>Summary</h3>
|
||||||
|
<dl>
|
||||||
|
<dt>Push vs Pull Data Flow</dt>
|
||||||
|
<dd>Push is a better fit because sources produce data at different rates.</dd>
|
||||||
|
<dt>Revisit Joins</dt>
|
||||||
|
<dd>Focus on ripple-style <code>WINDOW</code> joins.</dd>
|
||||||
|
<dt>Revisit Indexing</dt>
|
||||||
|
<dd>Linked Hash/Tree Indexes for efficient windowed indexing.</dd>
|
||||||
|
<dt>Revisit Aggregation</dt>
|
||||||
|
<dd>Sliding window aggregates.</dd>
|
||||||
|
</dl>
|
||||||
|
</section>
|
||||||
|
</section>
|
688
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height="12.962573"
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|
x="46.504894"
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y="40.688522"
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sodipodi:role="line">Feb</tspan></text>
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|
x="85.927147"
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<text
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sodipodi:role="line">Mar</tspan></text>
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<rect
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|
y="59.531021"
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xml:space="preserve"><tspan
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</g>
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<g
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|
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|
y="73.562668"
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|
rx="1.5987259"
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<text
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|
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|
sodipodi:role="line">Jun</tspan></text>
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|
</g>
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|
<g
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id="g981"
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transform="translate(1.3815711,-15.861066)">
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|
x="116.39587"
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|
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<text
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xml:space="preserve"><tspan
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|
x="35.341839"
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|
y="42.566269"
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|
id="text985"><tspan
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|
sodipodi:role="line"
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id="tspan983"
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style="stroke-width:0.264583">5</tspan></text>
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|
<text
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|
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|
<text
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|
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<text
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style="stroke-width:0.264583">4</tspan></text>
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<text
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|
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style="stroke-width:0.264583">5</tspan></text>
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|
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|
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</g>
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<rect
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id="rect876"
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width="22.98518"
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|
y="21.044212"
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<text
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</g>
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|
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</g>
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style="stroke-width:0.26458332">5</tspan></text>
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