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Common statistical tests are linear models
By Jonas Kristoffer Lindeløv ( blog , profile ). Last updated: 28 June, 2019 (See changelog ). Check out the Python version and the Twitter summary .
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The latest blog posts to take off on Hacker News. 2,851 posts.
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Calculating the mean of a list of numbers (2016)
You have a list of floating point numbers. No nasty tricks - these aren't NaN or Infinity, just normal "simple" floating point numbers.
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‘A Swiss cheese-like material’ that can solve equations
Engineering professor Nader Engheta and his team have demonstrated a metamaterial device that can function as an analog computer, validating an earlier theory about ‘photonic calculus.’
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US Army applying new areas of math
Many times on this blog I've argued that the difference between pure and applied math is motivation. As my graduate advisor used to say, “Applied mathematics is not a subject classification. It's an attitude.” Traditionally there was general agreement regarding what is pure math and what is applied. Number theory and…
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Quantum Computing for the Curious
Presented in an experimental mnemonic medium that makes it almost effortless to remember what you read
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Backpropogation Is Just Steepest Descent with Automatic Differentiation (2013)
Preface The intended audience of this article is someone who knows something about Machine Learning and Artifical Neural Networks (ANNs) in particular and who recalls that fitting an ANN required a…
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A Short Intro to Constraints
The essence of constraint is projection.
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How I Learned to Love Algebraic Geometry
A more polished version of this article appeared on Nautilus on 2019 February 28. This version has some more material. How I Learned to Stop Worrying and Love Algebraic Geometry In my 50s, too old …
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Dynamic Programming for Technical Interviews
Probably the first in a multi-part series on DP.
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Calculating a record-breaking 31.4T digits of Pi with GCP
Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes’ constant on Google Cloud
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Principal component analysis: pictures, code and proofs (2018)
The code used to generate the plots for this post can be found here.
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The Essence of Datalog (2018)
Mistral Contrastin's thought bubble, blog, and personal revelations.
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MathML in Chromium
A joint effort to add native MathML-Core support to web browsers.
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A generalised solution to distributed consensus
A generalised solution to distributed consensus Howard & Mortier, arXiv’19 This is a draft paper that Heidi Howard recently shared with the world via Twitter, and here’s the accompanying …
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How random can you be?
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Compare top same day payout casinos in Canada with verified withdrawal speeds, bonus offers, and player ratings for 2026.
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Viewing Matrices and Probability as Graphs
Today I'd like to share an idea. It's a very simple idea. It's not fancy and it's certainly not new. In fact, I'm sure many of you have thought about it already. But if you haven't—and even if you have!—I hope you'll take a few minutes to enjoy it with me. Here's the idea: Every matrix corresponds to a graph. So…
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Understanding Convolutions (2014)
neural networks , convolutional neural networks , convolution , math , probability
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Simpson’s Paradox (2016)
A riveting tale of how good data can lead to bad decisions.
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Fundamental Algorithms III
Three more fundamental algorithms in the series. Today, recursive permutations, subsets of the given set and variations with repetitions. Th...
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How Fair Is My D20? (2015)
An automatic system for rolling a polyhedral die and taking photos of the rolls; extracting the image of just the die from those images; clustering the images of the die by which face is shown; and analyzing the results.
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Reed Solomon codes are cool
thoughts
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A Brutal Look at Balanced Parentheses, Computing Machines, and Pushdown Automata
As discussed in Pattern Matching and Recursion , a well-known programming puzzle is to write a function that determines whether a string of parentheses is “balanced,” i.e. each opening parenthesis has a corresponding closing parenthesis, and the parentheses are properly nested.
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A Fairly Fast Fibonacci Function
A common example of recursion is the function to calculate the $n$-th Fibonacci number: def naive_fib(n): if n < 2: return n else: return naive_fib(n-1) + naive_fib(n-2) This follows the mathematical definition very closely but it’s performance is terrible: roughly $\mathcal{O}(2^n)$. This is commonly patched up with…
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Nonnegative matrix factorization
The why and how of nonnegative matrix factorization Gillis, arXiv 2014 from: ‘Regularization, Optimization, Kernels, and Support Vector Machines.’ Last week we looked at the paper ‘Beyond news cont…