Categorical Sensor
exotic · 36 views
exotic
What It Is
Random draws from 6 to 12 non-uniform categories. Peaked, unpredictable, low entropy.
Interpretation
Standard analysis sees: left-skewed; few distinct values; homoskedastic. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (16-bit):zipf_alpha (+3.3z) — beyond what the standard bank predicts for it. It sits beside Sandpile in the atlas (standard-bank rank 42) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.16
asymmetry0.08
occupancy0.10
short-range corr0.26
long-range memory0.31
spectral colour0.67
periodicity0.17
complexity0.58
time-irreversibility0.59
volatility clustering0.11
multifractality0.18
dimensionality0.71
nonstationarity0.17
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (16-bit):zipf_alpha | +3.3z | bank-miss 1.5σ |
Zipf–Mandelbrot (8-bit):zipf_alpha | +2.7z | bank-miss 1.4σ |
Composition
dtypeuint8
range[20, 235]
unique values8 / 16384
mean ± std100 ± 44.7
Fixed alphabet — only 8 distinct symbols across 16384 samples.
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Categorical_Sensor.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Categorical_Sensor.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Categorical_Sensor.png)
Inflation (Substitution) > barcode
/d_curve/Categorical_Sensor.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/Categorical_Sensor.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/Categorical_Sensor.png)
Ulam Spiral (Sacks) > default
/default/Categorical_Sensor.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Markov Chain (10-state) | 3.65 | |
| Poker Hands | 3.65 | |
| Sandpile | 3.74 |
Which Geometries Light Up
Zipf–Mandelbrot (16-bit) › Zipf–Mandelbrot (16-bit):zipf_alpha | rank 5/298 | 2.3562 |
Zipf–Mandelbrot (8-bit) › Zipf–Mandelbrot (8-bit):zipf_alpha | rank 5/298 | 3.1660 |
in number_theoryChladni Plate Mode →
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources