Max-pooling / Pooling: Difference between revisions
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[[file:Studying.png|right|frame|Case study notes<ref>http://www.flaticon.com/</ref>]] | [[file:Studying.png|right|frame|Case study notes<ref>http://www.flaticon.com/</ref>]] | ||
== Introduction == | == Introduction == | ||
Please write a clear, concise description of your topic here.You will likely reference your introduction from somewhere else. Please use the following syntax at the end of each of your ideas. '''IT IS CRITICAL YOU ATTRIBUTE''' others work. Your introduction should be factual. No more than 3 or 4 sentences, please. Because you are not an expert in your topic, I expect you to triangulate your information. LOTS OF LINK TO OTHER RESOURCES PLEASE! | <!-- Please write a clear, concise description of your topic here.You will likely reference your introduction from somewhere else. Please use the following syntax at the end of each of your ideas. '''IT IS CRITICAL YOU ATTRIBUTE''' others work. Your introduction should be factual. No more than 3 or 4 sentences, please. Because you are not an expert in your topic, I expect you to triangulate your information. LOTS OF LINK TO OTHER RESOURCES PLEASE! | ||
<nowiki> | <nowiki> | ||
<ref> the url I cited by material from </ref> | <ref> the url I cited by material from </ref> | ||
</nowiki> | </nowiki> --> | ||
Max pooling is a '''sample-based discretization process'''. The objective is to down-sample an input representation (image, hidden-layer output matrix, etc.), reducing its dimensionality and allowing for assumptions to be made about features contained in the sub-regions binned.<ref>https://www.quora.com/What-is-max-pooling-in-convolutional-neural-networks</ref> | |||
== How does it work and why== | |||
This is done to in part to help over-fitting by providing an abstracted form of the representation. As well, it reduces the computational cost by reducing the number of parameters to learn and provides basic translation invariance to the internal representation. | |||
Max pooling is done by applying a max filter to (usually) non-overlapping subregions of the initial representation. | |||
== Examples == | == Examples == | ||
Please include some example of how your concept is actually used. Your example must include WHERE it is used, and WHAT IS BENEFIT of it being used. | <!-- Please include some example of how your concept is actually used. Your example must include WHERE it is used, and WHAT IS BENEFIT of it being used. | ||
== Pictures, diagrams == | == Pictures, diagrams == | ||
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# [https://www.mediawiki.org/wiki/Help:Managing_files upload a file] | # [https://www.mediawiki.org/wiki/Help:Managing_files upload a file] | ||
# [https://www.mediawiki.org/wiki/Help:Images use the file on a wiki page] | # [https://www.mediawiki.org/wiki/Help:Images use the file on a wiki page] --> | ||
Let's say we have a 4x4 matrix representing our initial input. | |||
Let's say, as well, that we have a 2x2 filter that we'll run over our input. We'll have a '''stride''' of 2 (meaning the (dx, dy) for stepping over our input will be (2, 2)) and won't overlap regions. | |||
For each of the regions represented by the filter, we will take the '''max''' of that region and create a new, output matrix where each element is the max of a region in the original input. | |||
Pictorial representation: | |||
[[File:MaxpoolSample2.png]] | |||
Real-life example: | |||
[[File:MaxpoolSample.png]] | |||
== References == | == References == | ||
Latest revision as of 18:41, 27 February 2018
Case study notes[1]
Introduction[edit]
Max pooling is a sample-based discretization process. The objective is to down-sample an input representation (image, hidden-layer output matrix, etc.), reducing its dimensionality and allowing for assumptions to be made about features contained in the sub-regions binned.[2]
How does it work and why[edit]
This is done to in part to help over-fitting by providing an abstracted form of the representation. As well, it reduces the computational cost by reducing the number of parameters to learn and provides basic translation invariance to the internal representation.
Max pooling is done by applying a max filter to (usually) non-overlapping subregions of the initial representation.
Examples[edit]
Let's say we have a 4x4 matrix representing our initial input. Let's say, as well, that we have a 2x2 filter that we'll run over our input. We'll have a stride of 2 (meaning the (dx, dy) for stepping over our input will be (2, 2)) and won't overlap regions.
For each of the regions represented by the filter, we will take the max of that region and create a new, output matrix where each element is the max of a region in the original input.
Pictorial representation:
Real-life example:
