brainsteam.co.uk/brainsteam/content/posts/2018-08-31-.md

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---
title: 'Unhashing LSH: Addressing the gap between theory and practice'
author: James
type: post
date: -001-11-30T00:00:00+00:00
draft: true
url: /?p=308
medium_post:
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categories:
- Uncategorized
---
<p class="graf graf--p">
Ive recently been trying to become intimately familiar with how LSH works in theory and practice in order to solve some prickly comparison problems with O(n²) comparisons.
</p>
<p class="graf graf--p">
For the uninitiated, LSH or Locally Sensitive Hashing is a method frequently used for “sketching” large data structures in a way that allows quick comparison and grouping of similar items without having to compare every item with every other item in the dataset. Its often mentioned in the same breath as “the curse of dimensionality”: the problem of dealing with complex data structures like documents and images that must be represented in terms of the words or pixels that they contain which quickly add up and require enormous amounts of memory and compute time for processing.
</p>
<p class="graf graf--p">
The literature on LSH is factually accurate and mathematically complete but at the same time it&#8217;s really hard going. At the other end of the spectrum are some incredibly helpful blog posts that tell you how LSH works in practice. This post aims to explain the connections between the two.
</p>
## Nearest-Neighbour (NN) Problem
The nearest neighbour problem is the issue of finding data points or items &#8220;most similar&#8221; to a particular starting point or &#8220;query&#8221;. For example, we are building a music recommendation system and we know that the user likes song **q.   **We want to find artists similar to song **q** to recommend to the user. We can represent each song as a vector of their attributes &#8211; let&#8217;s say for simplicity that we&#8217;re using 3 dimensions on a scale 1-10: Tempo of music (slow to fast), Singer Pitch (deep to high) and Heaviness (Pop Rock to Death Metal). If you plot all of the song  in your catalogue in this way, the ones with a similar sound should end up clustered together.<figure style="width: 1137px" class="wp-caption alignnone">
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" alt="" width="1137" height="565" /><figcaption class="wp-caption-text">Steve Tyler, David Lee Roth and Freddie Mercury all have relatively high vices and Aerosmith, Queen and Van Halen are of a similar &#8220;heaviness&#8221; but but Aerosmith&#8217;s DWTMAT is a slow ballad compared to upbeat Jump and most of Boh-Rhap is speedy too.</figcaption></figure>
In order to find the nearest neighbours for a given data point, for example **q is &#8220;Van Halen &#8211; Jump&#8221; **&#8211; we have to loop over all items, find the [euclidean distance][1] between the points and then take the point with the smallest distance as the most similar, in this case, its Queen&#8217;s Boh-rhap! In this case there are 6 songs and therefore only 5 comparisons. What if we have a music library of millions of songs? That&#8217;s an awful lot of comparisons!
It&#8217;s also reasonable to assume that we&#8217;d be interested in comparing more than 3 attributes of a song &#8211; we can&#8217;t render more than 3 dimensions on a diagram but as you can imagine if there are 1000 or even 10,000 attributes then working out the euclidean distance becomes much harder. How can we reduce the number of comparisons needed?
## Approximate Nearest-Neighbour (NN) Problem
In order to speed up the recommendation process, we need to artificially reduce the number of comparisons that our system has to make. What if we had some prior knowledge about which part of the feature space song **q** is in and chose only to compare it with other songs from that space?
Drawing on from the example above, let&#8217;s imagine that we divide our space into two buckets: &#8216;rock&#8217; and &#8216;metal&#8217; &#8211; if we already know that Van Halen &#8211; Jump is a rock song then we can immediately discount Dragonforce, Slipknot and System of a Down as possible nearest neighbours and compare only with Aerosmith and Queen.
You may have already noticed that there&#8217;s a catch here. We&#8217;re at risk of missing potential nearest neighbours that sit on the border of our divisions. Metallica &#8211; Nothing Else Matters is an unusually slow balladic number from the thrash metal heavyweights and many people who don&#8217;t otherwise like Metallica might enjoy it &#8211; especially if they like Aerosmith&#8217;s Don&#8217;t Wanna&#8217; Miss a Thing and other pop-rock ballads. The trade-off here is one of speed versus accuracy. By drawing lines of division down through our collection, we reduce the number of comparisons we usually need to make but risk missing near neighbours that are &#8220;on the edge&#8221; in the process. We can somewhat address this problem that by dividing our collection up into buckets in a few different ways and checking a handful of them. For example Queen &#8211; Bohemian Rhapsody could belong to &#8220;singers with high voices&#8221; and &#8220;rock ballads&#8221;.
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[1]: https://en.wikipedia.org/wiki/Euclidean_distance