## Topological Detection of Wideband Anomalies

**Authors:** Russell Leidich

Successive real-valued measurements of any physical chaotic oscillator can serve as entropy inputs to a random number generator (RNG) with correspondingly many whole numbered outputs of arbitrarily small bias, assuming that no correlation exists between successive such measurements apart from what would be implied by their probability distribution function (AKA the oscillator’s analog “generator”, which is constant over time and thus asymptotically discoverable).
Given some historical measurements (a “snapshot”) of such an oscillator, we can then train the RNG to expect inputs distributed uniformally among the real intervals defined by those measurements and spanning the entire real line. Each interval thus implies an index in sorted order, starting with the leftmost which maps to zero; the RNG does nothing more than to perform this mapping. We can then replace that first oscillator with a second one presumed to abide by the same generator. It would then be possible to characterize the accuracy of that presumption by quantifying the ensuing change in quality of the RNG.
Randomness quality is most accurately expressed via dyspoissonism, which is a normalized equivalent of the log of the number of ways in which a particular distribution of frequencies (occurrence counts) of masks (whole numbers) can occur. Thus the difference in dyspoissonism between the RNG output sets will serve to estimate the information divergence between theirrespective generators, which in turn constitutes a ranking quantifier for the purpose of anomaly detection.

**Comments:** 13 Pages.

**Download:** **PDF**

### Submission history

[v1] 2018-04-09 23:13:20

[v2] 2018-04-11 10:54:08

**Unique-IP document downloads:** 29 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*