Blue Noise
stochastic-process · 37 views
stochastic-processstochastic
What It Is
High-pass filtered noise (PSD ~ f) --- anti-correlated increments that suppress low frequencies, common in error-diffusion dithering and spatial statistics
Interpretation
Standard analysis sees: anti-correlated (alternating); anti-persistent; blue spectrum (high-frequency power); high-dimensional / space-filling. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.56
asymmetry0.33
occupancy0.54
short-range corr0.08
long-range memory0.07
spectral colour0.97
periodicity0.21
complexity0.80
time-irreversibility0.66
volatility clustering0.41
multifractality0.23
dimensionality0.88
nonstationarity0.29
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[-1.913, 1.828]
unique values16384 / 16384
mean ± std5.8e-08 ± 0.498
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Blue_Noise.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Blue_Noise.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Blue_Noise.png)
Inflation (Substitution) > barcode
/d_curve/Blue_Noise.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Blue_Noise.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Blue_Noise.png)
Ulam Spiral (Sacks) > default
/default/Blue_Noise.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Gaussian Noise | 2.57 | |
| GUE Spacings | 2.80 | cross-origin |
| GOE Spacings | 2.89 | cross-origin |
Which Geometries Light Up
This source does not rank extreme on any metric.
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