Distinguishing random from chaotic data

AI Thread Summary
Random numbers generated by computers can often be derived from mathematical formulas, leading to concerns about their true randomness. Chaotic data resembles random noise, but they can be distinguished based on their dimensionality; chaotic systems have a low-dimensional phase space, while true random noise has an infinite-dimensional phase space. To differentiate between computer-generated data and data from real processes, methods like False Nearest Neighbors can be employed. Understanding these distinctions is crucial for applications in cryptography and data analysis. The discussion emphasizes the importance of recognizing the differences between chaotic and truly random data.
enricfemi
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the random number we used in computer, can be accessed form some mathematical formula.

and i heard that the chaotic data is just similar with random noise.

if we just consider the data, one from compute, the other from some real process,can we distinguish it?


thx for every reply!:smile:
 
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You should look into http://en.wikipedia.org/wiki/Cryptographically_secure_pseudorandom_number_generator" .
 
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The phase space of a chaotic system is relatively low dimensional, while the phase space of truly random noise would be infinite dimensional.

A practical algorithm to determine this is called False Nearest Neighbors.

http://balrog.wku.edu/~amaral/docs/chaospaper/node9.html
 
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So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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