Gaussian Noise
stochastic-process · 37 views
stochastic-processstochastic
What It Is
IID standard Gaussian noise --- bell-curve density centered at zero, the baseline null model for continuous-valued signals
Interpretation
Standard analysis sees: high-complexity (noise-like); high-dimensional / space-filling. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.58
asymmetry0.34
occupancy0.52
short-range corr0.28
long-range memory0.34
spectral colour0.77
periodicity0.18
complexity0.96
time-irreversibility0.64
volatility clustering0.17
multifractality0.33
dimensionality0.87
nonstationarity0.28
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[-4.023, 3.946]
unique values16384 / 16384
mean ± std0.0058 ± 0.996
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/Gaussian_Noise.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Gaussian_Noise.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Gaussian_Noise.png)
Inflation (Substitution) > barcode
/d_curve/Gaussian_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/Gaussian_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/Gaussian_Noise.png)
Ulam Spiral (Sacks) > default
/default/Gaussian_Noise.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Neural Net (Dense) | 2.55 | cross-origin |
| Blue Noise | 2.57 | |
| Entanglement Entropy | 2.60 | cross-origin |
Which Geometries Light Up
Attractor Reconstruction › Attractor Reconstruction:embedding_spread_dimension | rank 1/307 | 4.2978 |
Attractor Reconstruction › Attractor Reconstruction:kaplan_yorke_dim | rank 5/307 | 5.4974 |
Higher-Order Statistics › Higher-Order Statistics:kurt_max | rank 303/307 | 0.0757 |
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