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src/teaching/cse-562/2021sp/index.erb
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@ -92,6 +92,8 @@ schedule:
count_min_sketch: https://ieeexplore-ieee-org.gate.lib.buffalo.edu/document/6042851
- date: "Mar. 30"
topic: "Streaming Queries"
materials:
slides: slide/2021-03-30-StreamingQueries.html
- date: "Apr. 1"
topic: "Data Updates + Incremental View Maintenance"
due: "Checkpoint 2"

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src/teaching/cse-562/2021sp/slide/2021-03-30-StreamingQueries.erb Normal file
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---
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>

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