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Results tagged with combinatorics
Search options questions only
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user 217
Questions on the use of Mathematica in combinatorics, including the Combinatorica add-on package.
9
votes
1
answer
344
views
Generating an efficient way to compute einsum?
Given an einsum like below, how could I generate an efficient computation graph for it?
$$X_{ik} M_{ij}M_{kl} X_{jl}$$
The indices range from $1$ to $d$ and the goal is to minimize computation time …
- 6,697
4
votes
1
answer
73
views
Getting dataset whose cumulants match user-provided values?
I'm interested in getting list of numbers whose cumulants match user-specified list of values. Below is an example that works for list of length 2, but I'm interested in generalizing it to higher cumu …
- 6,697
14
votes
2
answers
450
views
Generating set partition diagrams
I recently came across a very nice illustration of set partitions on wikipedia (Partition of a set article)
I need to reproduce this diagram in order to modify some things, does anyone have a good st …
- 6,697
8
votes
1
answer
407
views
Visualizing set partition lattice
There's a cool visualization of set of all partition over 4 elements ordered by refinement, which makes it a lattice. Can Mathematica be used to generate these kinds of visualizations automatically? T …
- 6,697
1
vote
1
answer
114
views
Generating summation formulas for factorized 4th moments
I'm interested in getting summation formulas for the following expression, in Einstein summation notation, with indices ranging from $1$ to $d$ $$c=X_{ik}M_{ijkl}X_{jl}$$
Here $M_{ijkl}$ is specifie …
- 6,697
12
votes
3
answers
460
views
Visualizing diagrams needed to compute $\operatorname{Tr}(A^3 (A^T)^3)$
I'm estimating I'm about halfway done to a nice Wolfram Community post on combinatorics of random matrices.
Cross-posted to Wolfram Community, for more visibility from WRI employees …
- 6,697