ECG Beat Conformity
physiological · 37 views
physiologicalperiodic
What It Is
Per-beat correlation against a record-specific normal-beat template, MIT-BIH Long-Term ECG (7 records, 14-22 h each, 128 Hz). One scalar per heartbeat: normal beats saturate near 1.0; ectopic beats (V, A, F, S) drop proportionally to morphology deviation and recover on the next normal beat. Stays-at-max + episodic-downward-spike phenotype.
Interpretation
Standard analysis sees: heavy-tailed; left-skewed; high-complexity (noise-like); low-dimensional. The atlas additionally detects Attractor Reconstruction:lyap_entropy. It sits beside Zipf Distribution in the atlas (standard-bank rank 149) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.90
asymmetry0.01
occupancy0.26
short-range corr0.42
long-range memory0.61
spectral colour0.59
periodicity0.35
complexity0.85
time-irreversibility0.69
volatility clustering0.36
multifractality0.76
dimensionality0.09
nonstationarity0.76
What the atlas adds
Attractor Reconstruction:lyap_entropy+3.1z
Kolmogorov-Sinai entropy production rate (sum of positive λ)
Atlas-extreme metrics the standard bank can’t predict for this source
Nonstationarity:change_quantiles_low | +5.0z | bank-miss 2.9σ |
Piecewise-Linear:envelope_area | +3.3z | bank-miss 3.0σ |
Composition
dtypefloat64
range[-0.9517, 0.9999]
unique values16384 / 16384
mean ± std0.875 ± 0.293
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/ECG_Beat_Conformity.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/ECG_Beat_Conformity.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/ECG_Beat_Conformity.png)
Inflation (Substitution) > barcode
/d_curve/ECG_Beat_Conformity.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/ECG_Beat_Conformity.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/ECG_Beat_Conformity.png)
Ulam Spiral (Sacks) > default
/default/ECG_Beat_Conformity.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Earthquake Magnitudes | 3.75 | cross-origin |
| Multiplicative Cascade | 3.85 | cross-origin |
| Zipf Distribution | 4.02 | cross-origin |
Which Geometries Light Up
Attractor Reconstruction › Attractor Reconstruction:embedding_divergence_sum | rank 4/307 | 2.6029 |
Attractor Reconstruction › Attractor Reconstruction:lyap_entropy | rank 4/307 | 3.7543 |
Catch24 › Catch24:DN_Mean | rank 2/307 | 0.9361 |
Hölder Regularity › Hölder Regularity:holder_std | rank 2/307 | 1.9109 |
Nonstationarity › Nonstationarity:change_quantiles_low | rank 2/307 | 0.1666 |
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