White Noise

noise · 36 views
noise

What It Is

IID uniform random floats in [0,1) --- the null model, maximum entropy with zero sequential correlation

Interpretation

Standard analysis sees: rich, high-entropy values; high-complexity (noise-like); homoskedastic; high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-2.8z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.26
asymmetry0.54
occupancy0.94
short-range corr0.31
long-range memory0.32
spectral colour0.68
periodicity0.19
complexity0.89
time-irreversibility0.62
volatility clustering0.12
multifractality0.17
dimensionality0.88
nonstationarity0.20
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):zipf_r_squared-2.9zbank-miss 1.6σ

Composition

dtypefloat64
range[7.939e-05, 1]
unique values16384 / 16384
mean ± std0.502 ± 0.288

Render Gallery

Atlas Position

Nearest neighborDistance
glibc LCG1.32cross-domain
RANDU1.55cross-domain
XorShift321.55cross-domain

Open in Atlas →

Which Geometries Light Up

2-adic2-adic:mean_distancerank 1/2980.6683
PredictabilityPredictability:cond_entropy_k1rank 5/2982.9976
in exotic(last) →
alphabetical
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