Beta Noise

noise · 36 views
noise

What It Is

IID Beta(0.3, 0.3) noise --- U-shaped distribution concentrating mass at both extremes with a valley in the middle, structurally opposite to Gaussian

Interpretation

Standard analysis sees: bounded / light-tailed; aperiodic / broadband; high-complexity (noise-like). The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:lyap_entropy (+2.2z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.10
asymmetry0.71
occupancy0.53
short-range corr0.21
long-range memory0.38
spectral colour0.79
periodicity0.12
complexity0.92
time-irreversibility0.34
volatility clustering0.16
multifractality0.29
dimensionality0.71
nonstationarity0.19
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Attractor Reconstruction:lyap_entropy+2.2zbank-miss 1.2σ

Composition

dtypefloat64
range[7.753e-11, 1]
unique values16384 / 16384
mean ± std0.581 ± 0.382

Render Gallery

Atlas Position

Nearest neighborDistance
MT19937 (Mersenne Twister)3.14cross-domain
XorShift323.14cross-domain
AES Encrypted3.15cross-domain

Open in Atlas →

Which Geometries Light Up

2-adic2-adic:valuation_transition_predictabilityrank 294/2980.3510
Hölder RegularityHölder Regularity:holder_stdrank 3/2981.8933
MoiréMoiré:moire_max_coherencerank 295/2980.0227
Mostow RigidityMostow Rigidity:volume_entropyrank 1/2984.5192
Mostow RigidityMostow Rigidity:mean_turn_anglerank 298/2980.0408
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