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Merge pull request #1 from jygrinberg/patch-1
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Fixing minor typo in introduction/index.html.
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aditya-grover authored Jan 11, 2017
2 parents 5307405 + 9269627 commit 97c072b
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2 changes: 1 addition & 1 deletion docs/preliminaries/introduction/index.html
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Expand Up @@ -95,7 +95,7 @@ <h2 id="probabilistic-modeling">Probabilistic modeling</h2>
y = \beta^T x,
</script></div>

<p>where <script type="math/tex">y</script> is an outcome variable that we want to predict, and <script type="math/tex">x</script> are known (given) variables that affect the outcome. For example, <script type="math/tex">y</script> may be the price of a house, and <script type="math/tex">x</script> are a series of factors that affect this price, e.g. the location, the number of bedrooms, the age of the house, etc. We assume that <script type="math/tex">y</script> is a linear function of this inputs (parametrized by <script type="math/tex">\beta</script>).</p>
<p>where <script type="math/tex">y</script> is an outcome variable that we want to predict, and <script type="math/tex">x</script> are known (given) variables that affect the outcome. For example, <script type="math/tex">y</script> may be the price of a house, and <script type="math/tex">x</script> are a series of factors that affect this price, e.g. the location, the number of bedrooms, the age of the house, etc. We assume that <script type="math/tex">y</script> is a linear function of this input (parametrized by <script type="math/tex">\beta</script>).</p>

<p>Often, the real world that we are trying to model is very complicated; in particular, it often involves a significant amount of <em>uncertainty</em> (e.g., the price of a house has a certain chance of going up if a new subway station opens within a certain distance). It is therefore very natural to deal with this uncertainty by modeling the world in the form a probability distribution<label for="2" class="margin-toggle sidenote-number"></label><input type="checkbox" id="2" class="margin-toggle" /><span class="sidenote">For a more philosophical discussion of why one should use probability theory as opposed to something else, see the <a href="http://plato.stanford.edu/entries/dutch-book/">Dutch book argument</a> for probabilism. </span></p>

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