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This tag is used if a reference is needed in a paper or textbook on a specific result.

1 vote
2 answers
444 views

sorting two paired lists of real numbers to minimize consecutive absolute differences

Consider a set of $n$ real-valued number pairs: $(x_1,y_1), (x_2,y_2), \dots, (x_n,y_n)$. I want to find a permutation $p$ of the indices which minimizes the sum of consecutive absolute differences: …
R Hahn's user avatar
  • 2,791
10 votes

Essays and thoughts on mathematics

I Want to be a Mathematician, by Paul Halmos.
5 votes

Essays and thoughts on mathematics

Enigmas of Chance, by Mark Kac.
16 votes
Accepted

Bayesian statistics for pure mathematicians

Many hold that Bayesian statistics "from a purely mathematical point of view" is entirely coextensive with probability (however it is that you want to define its boundaries as a mathematical disciplin …
4 votes

Interesting thesis topic on statistical inference that is sufficiently mathematical

The intersection between computability theory and statistics is pretty interesting. From this paper by Vovk (2009): "It is widely accepted that advances in computing have brought about deep changes …
R Hahn's user avatar
  • 2,791
2 votes
0 answers
113 views

Characterizing the relationship between element-wise Markov transitions and the full-conditi...

Consider a $p$ dimensional random variable with a discrete support. Consider a Markov transition kernel on the state space that is defined in terms of element-wise transition distributions. One can …
R Hahn's user avatar
  • 2,791
17 votes

Group theory in machine learning

I suggest taking a look at the work of Ulf Grenander. His 1963 book laid out the basis for applying probability theory to groups (Chapter 4 is on stochastic Lie groups) and other algebraic structures …
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