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math.andrej.com | ||
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www.jeremykun.com
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| | | | | The Blessing of Distance We have often mentioned the idea of a "metric" on this blog, and we briefly described a formal definition for it. Colloquially, a metric is simply the mathematical notion of a distance function, with certain well-behaved properties. Since we're now starting to cover a few more metrics (and things which are distinctly not metrics) in the context of machine learning algorithms, we find it pertinent to lay out the definition once again, discuss some implications, and explore a few basic examples. | |
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www.jeremykun.com
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| | | | | Being part of the subject of algebraic topology, this post assumes the reader has read our previous primers on both topology and group theory. As a warning to the reader, it is more advanced than most of the math presented on this blog, and it is woefully incomplete. Nevertheless, the aim is to provide a high level picture of the field with a peek at the details. An Intuitive Topological Invariant Our eventual goal is to get comfortable with the notion of the "homology group" of a topological space. | |
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grossack.site
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| | | | | Chris Grossack's math blog and professional website. | |
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4gravitons.com
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| | | I have a friend who is shall we say, pessimistic, about science communication. He thinks it's too much risk for too little gain, too many misunderstandings while the most important stuff is so abstract the public will never understand it anyway. When I asked him for an example, he started telling me about a professor... | ||
