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Questions tagged [data-analysis]

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1 vote
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Database of non-isomorphic trees

As there are several free prime number databases, is there something similar for non-isomorphic trees?
Ian Gleason's user avatar
4 votes
0 answers
502 views

Implications of a recent result on Benford's law

I want to the discuss the implications of a theorem by J. Morrow (2010) regarding Benford's law. There are many papers written about Benford's law with a comprenhensive discussion of the advantages ...
Mauricio Tec's user avatar
37 votes
5 answers
7k views

Inference using Topological Data Analysis: Is it worth it for a regular statistician to learn TDA?

After having read Gunnar Carlsson's Topology and Data I feel enthusiastic to use some topological data analysis (TDA) methods in my current research, mostly in social sciences. We often handle huge ...
Mauricio Tec's user avatar
21 votes
5 answers
4k views

Easier reference for material like Diaconis's "Group representations in probability and statistics"

I'm teaching a class on the representation theory of finite groups at the advanced undergrad level. One of the things I'd like to talk about, or possibly have a student do any independent project on ...
Ben Webster's user avatar
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2 votes
2 answers
1k views

Appropriate histogram comparison distance measure

I am working with hyperspectral image data in R, so I have subset an image to a region of 5000 pixels, each containing a vector 254 bands in length. I would like to cluster this data in order to try ...
EJA's user avatar
  • 23
2 votes
1 answer
591 views

correlation for three variables? [closed]

suppose we have three variables here, x,y, z now, what we know is that the correlation between x and z is 0.6, the correlation between y and z is 0.65. Here is the question, is there any formula to ...
user33817's user avatar
1 vote
2 answers
1k views

Interpolating a "manifold" between two points

Edit: I have reworded the question. This may be a basic question but I am having trouble figuring out the correct answer. I want to find a local coordinate chart that fits a d-dimensional ...
Chirag Lakhani's user avatar
11 votes
3 answers
2k views

Higher categories as data structures

Still wading through higher category theory. I find the subject a bit intimidating, not so much for technical reasons, but because I lack sufficient intuition as to the motivation(s)/heuristics one ...
Mirco A. Mannucci's user avatar
2 votes
0 answers
209 views

isomap and self intersections

I sample a 2D surface in $\mathbb{R}^3$ with $N$ points, and compute an isomap using pairwise weighted geodesic distances. I am thus able to embed this surface into a $M$ dimensional space in which ...
WhitAngl's user avatar
  • 481
5 votes
2 answers
2k views

Solving for Moore Penrose pseudo inverse

I have a system to solve, set up as : $$Ax = b$$ with a square rank deficient matrix $A$. The paper suggests to use a Moore Penrose pseudo inverse, which in my case can be computed using the ...
WhitAngl's user avatar
  • 481
3 votes
1 answer
731 views

name for $\underset{x}{\operatorname{argmin}} \displaystyle\sum\limits_{i=1}^n |x_i - x|$

Given a real-valued data set $ x_1, \dots, x_n $, what do you call the quantity $$\underset{x}{\operatorname{argmin}} \displaystyle\sum\limits_{i=1}^n |x_i - x|$$ This seems like a pretty basic ...
Diogenes Creosote's user avatar
2 votes
0 answers
858 views

Classical Multidimensional Scaling

Hi, I am doing an MDS with a distance matrix coming from geodesic distances between points X on a 3d mesh (ie., not euclidean distances), and try to find points Y in euclidean space which best ...
WhitAngl's user avatar
  • 481
7 votes
3 answers
57k views

Correlation between 3 variables

For correlation measurement betweeen 2 variables, I use Pearson formula. What formula can use to find degree of correlation between 3 variables ? My variabes are not symmetric: The correlation in ...
Andrei's user avatar
  • 195
0 votes
1 answer
716 views

Clustering sets of sparse vectors with high dimensionality

I'm trying to write a simple recommendation system. I have a set of products that exist in a set of categories and I know whether a given customer liked a subset of the items. From this I can deduce ...
David King's user avatar
1 vote
0 answers
577 views

Cluster-preserving and distance-maximizing embedding into Hamming Space?

I have a set of data, each instance in the real $[0,1]^{d}$. However, it's actually all in a relatively small range around 0.5, clustered into classes in even smaller ranges. The actual origin of the ...
DoubleJay's user avatar
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