Questions tagged [pattern-recognition]

1. From a samples of a small samples of mathematical objects, conjecture a common pattern to all of them. This includes "guess the next terms in the sequence" question (consider checking OEIS first). Please provide as much context as possible. 2. Mathematical ideas related to pattern recognition, subfields of AI and statistics. Please check first if StackOverflow, Computer Science Stack Exchange, or Cross Validated is more appropriate.

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Strange pattern in numbers why is the series of absolute differences always 0? [duplicate]

Put any four numbers in a row, say, 77 73 29 179. Under the first number write the difference between it and the second number. Under the second number put the difference ...
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When are fractions of factorials equal to whole factorials? [duplicate]

10!/7!=6!. 6!/3!=5!. Is there something interesting happening in these examples, or are they just coincidence? Is there a way of finding other examples like these?
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Fix my irregular spiral

I recently posted a puzzle featuring a graphic of a stylized rosette. The rosette is nothing more than a rectangular spiral. See here for the original puzzle post. Here is a distillation of the ...
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Hidden patterns in the natural numbers

Consider the matrix $\{a_{ij}\}_{i,j\in\mathbb{N}}$ with $a_{ij} = 1$ iff $i \equiv 0\,\text{mod}\,j$. Drawing it with stretched y-axis by a factor of $5$ reveals some "waves" which I ...
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Pattern in number of digits in $(10^n)!$

I was observing the OEIS sequence A061010 and its values up to $n=1000$, and it seems that the pattern is as follows. For $n$, $f(n)$ is for the form string of $(n-1)$+(pattern of repeating digits ...
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Optimal sequence horizon for predicting the next iteration

Suppose a mechanism generates numbers from 1 to 6, say, one at the time. What is the best way to examine if a particular sequence of numbers has a higher probability of leading to ‘1’, say, as the ...
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Why does quality factor $q_i$ in Relevant Vector Machine represent a measure of the alignment of $\boldsymbol{\phi_i}$ with the error of the model?

In RVM(relevant vector machine, also named Sparse Bayesian Learning), there are two important factors $s_i$ and $q_i$, the $q_i$ has been explained as 'quality factor'. In Bishop's PRML section 7.2.2 ...
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