Blog Archives

Le Monde puzzle [#937]

November 10, 2015
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Le Monde puzzle [#937]

A combinatoric Le Monde mathematical puzzle that resembles many earlier ones: Given a pool of 30 interns allocated to three person night-shifts, is it possible to see 31 consecutive nights such that (a) all the shifts differ and (b) there are no pair of shifts with a single common intern? In fact, the constraint there

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Think Bayes: Bayesian Statistics Made Simple

October 26, 2015
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Think Bayes: Bayesian Statistics Made Simple

By some piece of luck, I came upon the book Think Bayes: Bayesian Statistics Made Simple, written by Allen B. Downey and published by Green Tea Press which usually publishes programming books with

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Think Bayes: Bayesian Statistics Made Simple

October 26, 2015
By
Think Bayes: Bayesian Statistics Made Simple

By some piece of luck, I came upon the book Think Bayes: Bayesian Statistics Made Simple, written by Allen B. Downey and published by Green Tea Press which usually publishes programming books with

Read more »

Le Monde puzzle [#929]

September 28, 2015
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Le Monde puzzle [#929]

A combinatorics Le Monde mathematical puzzle: In the set {1,…,12}, numbers adjacent to i are called friends of i. How many distinct subsets of size 5 can be chosen under the constraint that each number in the subset has at least a friend with him? In a brute force approach, I tried a quintuple loop

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Le Monde puzzle [#929]

September 28, 2015
By
Le Monde puzzle [#929]

A combinatorics Le Monde mathematical puzzle: In the set {1,…,12}, numbers adjacent to i are called friends of i. How many distinct subsets of size 5 can be chosen under the constraint that each number in the subset has at least a friend with him? In a brute force approach, I tried a quintuple loop

Read more »

Le Monde puzzle [#928]

September 9, 2015
By
Le Monde puzzle [#928]

A combinatorics Le Monde mathematical puzzle: How many distinct integers between 0 and 16 can one pick so that all positive differences are distinct? If k is the number of distinct integers, the number of positive differences is 1+2+…+(k-1) = k(k-1)/2, which cannot exceed 16, because it is a subset of {1,2,…,16}, meaning k cannot

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Le Monde puzzle [#928]

September 9, 2015
By
Le Monde puzzle [#928]

A combinatorics Le Monde mathematical puzzle: How many distinct integers between 0 and 16 can one pick so that all positive differences are distinct? If k is the number of distinct integers, the number of positive differences is 1+2+…+(k-1) = k(k-1)/2, which cannot exceed 16, meaning k cannot exceed 6. From there, picking 6 integers

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debunking a (minor and personal) myth

September 9, 2015
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debunking a (minor and personal) myth

For quite a while, I entertained the idea that Beta and Dirichlet proposals  were more adequate than (log-)normal random walks proposals for parameters on (0,1) and simplicia (simplices, simplexes), respectively, when running an MCMC. For instance, for p in (0,1) the value of the Markov chain at time t-1, the proposal at time t could

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debunking a (minor and personal) myth

September 9, 2015
By
debunking a (minor and personal) myth

For quite a while, I entertained the idea that Beta and Dirichlet proposals  were more adequate than (log-)normal random walks proposals for parameters on (0,1) and simplicia (simplices, simplexes), respectively, when running an MCMC. For instance, for p in (0,1) the value of the Markov chain at time t-1, the proposal at time t could

Read more »

ABC model choice via random forests [and no fire]

September 3, 2015
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ABC model choice via random forests [and no fire]

While my arXiv newspage today had a puzzling entry about modelling UFOs sightings in France, it also broadcast our revision of Reliable ABC model choice via random forests, version that we resubmitted today to Bioinformatics after a quite thorough upgrade, the most dramatic one being the realisation we could also approximate the posterior probability of

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