Bearing Inner
bearing · 36 views
bearing
What It Is
CWRU bearing vibration, inner-race fault. Drive-end accelerometer at 12 kHz; periodic impulses ride a broadband resonance.
Interpretation
Standard analysis sees: heavy-tailed; anti-persistent; red spectrum (low-frequency / 1-over-f power); nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on AutoRegressive:ar_coef_8 (+4.6z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.95
asymmetry0.63
occupancy0.28
short-range corr0.67
long-range memory0.12
spectral colour0.06
periodicity0.50
complexity0.27
time-irreversibility0.20
volatility clustering0.69
multifractality0.73
dimensionality0.52
nonstationarity0.95
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
AutoRegressive:ar_coef_8 | +4.6z | bank-miss 4.2σ |
AutoRegressive:ar_coef_9 | -4.0z | bank-miss 2.0σ |
Continued Fraction:log_khintchine_mean | +3.4z | bank-miss 1.5σ |
AutoRegressive:ar_coef_7 | -3.1z | bank-miss 2.2σ |
AutoRegressive:ar_coef_4 | +3.1z | bank-miss 3.4σ |
Spirograph:petal_symmetry | +3.0z | bank-miss 1.2σ |
AutoRegressive:ar_coef_3 | -2.6z | bank-miss 1.6σ |
Composition
dtypefloat64
range[-2.141, 2.392]
unique values2690 / 16384
mean ± std0.0149 ± 0.277
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/Bearing_Inner.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Bearing_Inner.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Bearing_Inner.png)
Inflation (Substitution) > barcode
/d_curve/Bearing_Inner.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/Bearing_Inner.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/Bearing_Inner.png)
Ulam Spiral (Sacks) > default
/default/Bearing_Inner.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Bearing Ball | 2.50 | |
| Bearing Outer | 3.18 | |
| EEG Seizure | 3.42 | cross-domain |
Which Geometries Light Up
AutoRegressive › AutoRegressive:ar_coef_2 | rank 1/298 | 0.7288 |
Continued Fraction › Continued Fraction:log_khintchine_mean | rank 4/298 | 1.9263 |
H4 600-Cell › H4 600-Cell:edge_walk_fraction | rank 4/298 | 0.6281 |
Hyperbolic (Poincaré) › Hyperbolic (Poincaré):mean_hyperbolic_radius | rank 294/298 | 0.2339 |
Isochronicity › Isochronicity:amplitude_exploration | rank 4/298 | 1.2280 |
Lorentzian › Lorentzian:causal_persistence | rank 5/298 | 0.8887 |
Septagonal (Danzer) › Septagonal (Danzer):z_primary | rank 2/298 | 0.3223 |
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