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### Neighbourhood of a word and Levenshtein distance

The Levenshtein distance or Edit distance $$ lev(U,V) $$ between two strings $U$ and $V$ over a finite alphabet $\Sigma$ of size $ \left| \Sigma \right| = \sigma ,$ is the minimal number of ...

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### Correspondence between Viterbi algorithm and Smith-Waterman

Viterbi is an algorithm for finding the maximum likelihood assignment to the hidden variables of an HMM, given the observed variables (we know the transition and emission probabilities of the HMM). ...

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### Cover a line segment randomly with smaller line segments

Covering a circle randomly with arcs has been well studied in the past (Geometric Probability - Solomon).
But the problem when the circle is changed to a line segment doesn't seem to have been ...

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646 views

### Industry jobs involving mathematics, machine learning and biology [closed]

I have a MSc in Mathematics and a PhD in Bioinformatics (in two different European countries); during the PhD I was developing computational methods to analyse DNA sequence data, mainly using a ...

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**1**answer

141 views

### Generating spatially-aware degree-preserving random graphs?

In the study of biological neural networks, researchers sometimes compare hypotheses vs. a degree-preserving random null model. One major criticism against this approach is that connections in neural ...

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### Maximal difference between k randomly drawn numbers from 1 to n – Looking for formula to sequence

Hello!
I have an interesting problem that seemed simple to me, but I'm unable to solve it on my own.
Suppose I am drawing k numbers out of n numbers labeled from 1 to n.
Considering all ...

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votes

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365 views

### MicroArray, tesing if a sample is the same with high variance data.

I'll explain the problem but what I am looking for is a few suggested methods to approach this problem.
You don't need to know what a microarray but if you are interested look here link text
The info ...