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	<title>Christopher Olah&#039;s Blog</title>
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		<title>Christopher Olah&#039;s Blog</title>
		<link>http://christopherolah.wordpress.com</link>
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		<item>
		<title>Topology Notes</title>
		<link>http://christopherolah.wordpress.com/2013/06/14/topology-book/</link>
		<comments>http://christopherolah.wordpress.com/2013/06/14/topology-book/#comments</comments>
		<pubDate>Fri, 14 Jun 2013 19:37:23 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[criticism]]></category>
		<category><![CDATA[education]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[topology]]></category>
		<category><![CDATA[visual math]]></category>
		<category><![CDATA[writing]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1625</guid>
		<description><![CDATA[I&#8217;ve been talking about writing a topology textbook introductory notes on topology for years. Basically since I wrote my Rethinking Topology (or a Personal Topologodicy) post 2 years ago &#8212; it&#8217;s hard to believe it&#8217;s been that long! In any case, I finally started writing it. I&#8217;ve done a mild review of existing introductions to general topology (ie. I [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1625&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/06/14/topology-book/feed/</wfw:commentRss>
		<slash:comments>6</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/06/setanatomy.png?w=450" medium="image">
			<media:title type="html">Topological Anatomy: Closure, Interior, and Boundary</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/06/indiscreteclosureonlattice.png?w=450" medium="image">
			<media:title type="html">Arrows represent closure and lines superset in a visualization of the indiscrete closure operator on {1,2}.</media:title>
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		<item>
		<title>How My Neural Net Sees Blackboards (Part 2)</title>
		<link>http://christopherolah.wordpress.com/2013/06/09/how-my-neural-net-sees-blackboards-part-2/</link>
		<comments>http://christopherolah.wordpress.com/2013/06/09/how-my-neural-net-sees-blackboards-part-2/#comments</comments>
		<pubDate>Sun, 09 Jun 2013 17:27:53 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[blackboards]]></category>
		<category><![CDATA[neural nets]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1618</guid>
		<description><![CDATA[Previously, I discussed training a neural net to clean up images. I&#8217;m pleased to say that, using more sophisticated techniques, I&#8217;ve since achieved much better results. My latest approach is a four layer convolutional network. Sadly, the convolution throws away the sides of the images, so we get a black margin. In any case, compare [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1618&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/06/09/how-my-neural-net-sees-blackboards-part-2/feed/</wfw:commentRss>
		<slash:comments>6</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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			<media:title type="html">Original Image -- dirty blackboard image to be cleaned with neural net</media:title>
		</media:content>

		<media:content url="http://christopherolah.files.wordpress.com/2013/05/etingof-130323-110039-result21.jpg?w=450" medium="image">
			<media:title type="html">Blackboard image after being cleaned by 3 layer neural net.</media:title>
		</media:content>

		<media:content url="http://christopherolah.files.wordpress.com/2013/06/etingof-130323-110039-conv9.jpg?w=450" medium="image">
			<media:title type="html">Blackboard image cleaned by 4 layer convolutional network.</media:title>
		</media:content>

		<media:content url="http://christopherolah.files.wordpress.com/2013/06/main-qimg-87833c78a604ff07a82ff7787574e197-scale2.jpg?w=450" medium="image">
			<media:title type="html">Feynman&#039;s blackboard at time of death.</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/06/main-qimg-87833c78a604ff07a82ff7787574e197-scale2-conv9.jpg?w=450" medium="image">
			<media:title type="html">Cleaned version of Feynman&#039;s blackboard</media:title>
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	</item>
		<item>
		<title>I&#8217;m Sick and Tired of 3D Printed Guns</title>
		<link>http://christopherolah.wordpress.com/2013/05/29/im-sick-and-tired-of-3d-printed-guns/</link>
		<comments>http://christopherolah.wordpress.com/2013/05/29/im-sick-and-tired-of-3d-printed-guns/#comments</comments>
		<pubDate>Wed, 29 May 2013 01:25:06 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[3d printing]]></category>
		<category><![CDATA[rant]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1612</guid>
		<description><![CDATA[For the last few months, every time someone hears that I work with 3D printers they bring up 3D printed guns. I can&#8217;t say how many times it has happened in this month alone. And I&#8217;m getting really really tired of it. &#8220;They&#8217;re the killer app of 3D printers.&#8221; What a great pun. You don&#8217;t know [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1612&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/05/29/im-sick-and-tired-of-3d-printed-guns/feed/</wfw:commentRss>
		<slash:comments>3</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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	</item>
		<item>
		<title>How My Neural Net Sees Blackboards</title>
		<link>http://christopherolah.wordpress.com/2013/05/11/how-my-neural-net-sees-blackboards/</link>
		<comments>http://christopherolah.wordpress.com/2013/05/11/how-my-neural-net-sees-blackboards/#comments</comments>
		<pubDate>Sat, 11 May 2013 00:11:21 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[blackboards]]></category>
		<category><![CDATA[image filters]]></category>
		<category><![CDATA[neural nets]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1596</guid>
		<description><![CDATA[For the last few weeks, I&#8217;ve been taking part in a small weekly neural net study group run by Michael Nielsen. It&#8217;s been really awesome! Neural nets are very very cool! They&#8217;re so cool, I had to use them somehow. Having been interested in mathematical handwriting recognition for a long time, I decided to train [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1596&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/05/11/how-my-neural-net-sees-blackboards/feed/</wfw:commentRss>
		<slash:comments>3</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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			<media:title type="html">Etingof-130323-110039</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/etingof-130323-110039-result21.jpg?w=220" medium="image">
			<media:title type="html">Etingof-130323-110039</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/halacheva-120911-173618.jpg?w=220" medium="image">
			<media:title type="html">Etingof-130323-110039</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/halacheva-120911-173618-result21.jpg?w=220" medium="image">
			<media:title type="html">Etingof-130323-110039</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/rasmussen-130111-123135.jpg?w=220" medium="image">
			<media:title type="html">Etingof-130323-110039</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/rasmussen-130111-123135-result21.jpg?w=220" medium="image">
			<media:title type="html">Etingof-130323-110039</media:title>
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	</item>
		<item>
		<title>Singularity Summit Talk</title>
		<link>http://christopherolah.wordpress.com/2013/05/07/singularity-summit-talk/</link>
		<comments>http://christopherolah.wordpress.com/2013/05/07/singularity-summit-talk/#comments</comments>
		<pubDate>Tue, 07 May 2013 01:47:02 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[geometric derivatives]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[singularity summit]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1593</guid>
		<description><![CDATA[As readers of this blog are probably aware, I&#8217;m a rather big fan of multiplicative calculus, an obscure mathematical tool that is very useful in reasoning about quasi-exponential trends. And I&#8217;m rather sad that I get few occasions to apply it. So, it should come as no surprise that when I was given an opportunity [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1593&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/05/07/singularity-summit-talk/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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		<media:content url="http://christopherolah.files.wordpress.com/2013/05/colah-singularity-summit.jpg?w=450" medium="image">
			<media:title type="html">Chris Olah speaking at singularity summit</media:title>
		</media:content>
	</item>
		<item>
		<title>Parsec Patterns</title>
		<link>http://christopherolah.wordpress.com/2013/05/07/parsec-patterns/</link>
		<comments>http://christopherolah.wordpress.com/2013/05/07/parsec-patterns/#comments</comments>
		<pubDate>Tue, 07 May 2013 01:23:04 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[haskell]]></category>
		<category><![CDATA[parsec]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1591</guid>
		<description><![CDATA[At a meeting of the Toronto Haskell User Group a few months back (Jan 9, 2013), after going over the basics of the combinatoric parsing library Parsec, I talked about some clever tricks that made my work with it much cleaner. (See also Alber Lai&#8217;s write up of his talk, Parsec Generally.) Note that I [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1591&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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	</item>
		<item>
		<title>Misunderstanding Romantic Attraction</title>
		<link>http://christopherolah.wordpress.com/2013/05/03/misunderstanding-romantic-attraction/</link>
		<comments>http://christopherolah.wordpress.com/2013/05/03/misunderstanding-romantic-attraction/#comments</comments>
		<pubDate>Fri, 03 May 2013 13:14:27 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[neuroscience]]></category>
		<category><![CDATA[romance]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1588</guid>
		<description><![CDATA[One thing I&#8217;ve realized in the last year is that I really deeply misunderstood what romantic attraction was. Most people I&#8217;ve tried to describe this to have been incredulous, since the things I misunderstood seem trivial to them. Nevertheless, I think that for a certain type of person this may actually be a really difficult [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1588&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/05/03/misunderstanding-romantic-attraction/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
		</media:content>
	</item>
		<item>
		<title>Monads For The Terrified</title>
		<link>http://christopherolah.wordpress.com/2013/03/20/monads-for-the-terrified/</link>
		<comments>http://christopherolah.wordpress.com/2013/03/20/monads-for-the-terrified/#comments</comments>
		<pubDate>Wed, 20 Mar 2013 04:20:26 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[CS]]></category>
		<category><![CDATA[haskell]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[monads]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1586</guid>
		<description><![CDATA[It seems like everyone writes a monad tutorial in the Haskell community&#8230; Well, here&#8217;s mine. People learning Haskell generally seem to get tripped up about monads. There are good reasons for this. Monads are, really, needed to write a serious Haskell program. As a consequence, people generally try to learn them fairly shortly after beginning [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1586&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/03/20/monads-for-the-terrified/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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		<item>
		<title>Math Notation Experiment &#8220;Paper&#8221;</title>
		<link>http://christopherolah.wordpress.com/2013/03/20/math-notation-experiment-paper/</link>
		<comments>http://christopherolah.wordpress.com/2013/03/20/math-notation-experiment-paper/#comments</comments>
		<pubDate>Wed, 20 Mar 2013 03:58:11 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[notation]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1575</guid>
		<description><![CDATA[A while back, I wrote a post on some unusual math notation I was playing with. I actually took it much further than that and drafted up a paper full of different ideas over the following months. At the time, I was hoping it might be publishable but then got discouraged and never did anything [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1575&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://christopherolah.wordpress.com/2013/03/20/math-notation-experiment-paper/feed/</wfw:commentRss>
		<slash:comments>4</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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		<item>
		<title>Europe Trip (Summer 2011)</title>
		<link>http://christopherolah.wordpress.com/2013/01/02/europe-trip-summer-2011/</link>
		<comments>http://christopherolah.wordpress.com/2013/01/02/europe-trip-summer-2011/#comments</comments>
		<pubDate>Wed, 02 Jan 2013 02:11:06 +0000</pubDate>
		<dc:creator>colah</dc:creator>
				<category><![CDATA[review]]></category>
		<category><![CDATA[Berlin]]></category>
		<category><![CDATA[europe]]></category>
		<category><![CDATA[hackerspaces]]></category>
		<category><![CDATA[Paris]]></category>
		<category><![CDATA[Rome]]></category>
		<category><![CDATA[travel]]></category>

		<guid isPermaLink="false">http://christopherolah.wordpress.com/?p=1439</guid>
		<description><![CDATA[Last summer (2011), I had an opportunity to go to Europe and jumped at the chance: we went to Paris in celebration of my sister&#8217;s 16th birthday, and I stayed behind for a while longer and traveled around by train. I&#8217;ve had a draft post about it floating around for a while, and, well, now I&#8217;m finishing [&#8230;]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=christopherolah.wordpress.com&#038;blog=6132008&#038;post=1439&#038;subd=christopherolah&#038;ref=&#038;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>2</slash:comments>
	
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			<media:title type="html">christopherolah</media:title>
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