The Curse of Dimensionality… minus the curse of jargon
Tags: Math, Life, Technology, Love, Science

In a nutshell, it’s all about loneliness

The curse of dimensionality! What on earth is that? Besides being a prime example of shock-and-awe names in machine learning jargon (which often sound far fancier than they are), it’s a reference to the effect that adding more features has on your dataset. In a nutshell, the curse of dimensionality is all about loneliness.

In a nutshell, the curse of dimensionality is all about loneliness.

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Before I explain myself, let’s get some basic jargon out of the way. What’s a feature? It’s the machine learning word for what other disciplines might call a predictor / (independent) variable / attribute / signal. Information about each datapoint, in other words. …

Before we dissect the nature of analytical excellence, let’s start with a quick summary of three common misconceptions about analytics from Part 1:

Analytics is statistics. (No.) Analytics is data journalism / marketing / storytelling. (No.) Analytics is decision-making. (No!)

Misconception #1: Analytics versus statistics

While the tools and equations they use are similar, analysts and statisticians are trained to do very different jobs:

Analytics helps you form hypotheses, improving the quality of your questions.

Statistics helps you test hypotheses, improving the quality of your answers.

If you’d like to learn more about these professions, check out my article

Now’s a good time to rethink our assumptions about fact and fiction

In my previous article, I explained why you shouldn’t look to statistical inference for truth. Given the prevalence of statistical techniques in scientific research, what does this mean for science?

Image from an xkcd t-shirt, which you can find here.

(For those who insist that you need credentials to have an opinion about science, this jerk of an author holds graduate degrees in neuroscience and mathematical statistics. Glad we got that out of the way.)

Scientific theory

A hypothesis is a description or explanation, but it needn’t be true. If it amuses me, I can hypothesize that no human is taller than five feet. …