The pattern-recognition tag has no wiki summary.
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How can I count clockwise vs counterclockwise cycles in a series of (modular) integers?
I'm working with a Markov process that has a state and transition diagram like in the picture:
The transition probabilities are not listed, but they are always positive, but not necessarily ...
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35 views
Identifying a pattern in an array
Is there a way to identifying a pattern and/or recursive function for an array?
If yes, how can I do this. Could anyone please help me with some information and/or resource for this?
Any help is ...
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81 views
Finding the mean (or pattern) of a set of related values in a matrix discarding those that are too different.
this is my first question here so I am not sure if it is a valid one.
I am currently facing a mathematical problem that is not so hard to solve, but given the accuracy i need in the results I would ...
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125 views
Pattern puzzle help
I've spent hours on this puzzle, which shouldn't be too hard, and I'm sure I've got the right answer, but apparently it's wrong. The problem statement:
You are guessing a positive number X. You ...
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234 views
What does this say about prime numbers?
I was having fun with Sage when I noticed something interesting:
...
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75 views
Multiplication structure for finite abelian rings of order $p^2$.
Consider an odd prime $p$ and a positive integer $a$ as close to 2 as possible that is not a quadratic residue $mod$ $p$.
If we extend the ring $mod$ $p$ with the element $b = a^{\frac{1}{2}}$ then ...
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Algorithm to predict next 3D points
For example, having this data:
year x/y/z
2007 10/20/70
2008 20/10/70
2009 30/10/60
2010 40/10/50
2011 40/15/45
We want to predict what will be the x/y/z in ...
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34 views
Find a pattern in key => value?
Sorry if this isn't the correct place but it did seem to be! Basically, I'm coding a small test with a bouncing ball. All works well, but the problem is I need to work out the ...
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Is kernel density estimation a GMM with uniform mixture weight?
recall that for a Gaussian Mixture Model, the density of p(x) (multivariate) is
$$P(x) = \Sigma_{i=1}^{C}\pi(c_i)\mathcal{N}(\mu_i,\Sigma_i)$$
On the other hand, non-parametric density estimation ...
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Theoretical proof of convergence of sequential weight update procedure (Neural Networks and Machine Learning)
My question is at the bottom.
(Most of the descriptive words come from Chris. Bishop's Neural Networks for Pattern Recognition)
let $w$ be the weight vector of the neural network and $E$ the error ...
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20 views
Closed and open Sequential Pattern Mining Algorithms
I want to use some algorithms to mine my log data.
I found a pattern mining framework on: http://www.philippe-fournier-viger.com/spmf/index.php?link=algorithms.php
I have tried several algorithms, ...
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Form equation or equations of curves to represent pattern using given data
Write equation or equations of curves formed by product of values of y obtained from equations y= 6x - 1 and y = 6x +1, where these equations are defined only for values of x belonging to natural ...
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Estimating co-occurrence probabilities of pairs of sample points from different clusters
I have a problem as follows:
I have a collection of samples which I wish to cluster. The sample points are acquired in "groups/batches", and we know that samples from the same "group" cannot be ...
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53 views
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Estimating $p(x)$ with a nonparametric method
"Pattern Classification" book I study that in nonparametric methods we need to estimate $p(x)$, and we don't want just the averaged version of it. They give an example of theoretical procedure to ...
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24 views
Bayes error rate of a bi-variate distribution.
Say I have a bi-variate class conditional density distributions defined by some function. With 2 classes.
$f(x,y|C_i)$
And lets say that this function is a product of two other identical and ...
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147 views
Pattern matching questions
I saw the below questions and was curious regarding the logic behind the answer. I will be grateful is some one could help me
So the question is given the patter, identify the next one
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104 views
Matrix & Partition & Natural Number & Pattern
I would like to know if someone know, how is called a matrix M*N, where m represents the row index in the matrix and the sum of the N columns at this row. Meaning that each row represents a possible ...
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70 views
Projection of a point to a line, or angle for rank reduced LDA
I am having trouble understanding the following formula:
$x^T * (\mu_1 - \mu_0) * (\mu_1 - \mu_0) $
This is supposed to be a part of the rank reduced linear discriminant analysis (LDA). The ...
