ECG Arrhythmia Classification (PWDR) L1-528

Signal ProcessingCardiac electrical signal feature recovery with arrhythmia categorical readoutδ=3 · standardL_DAG = 5.9📋 Stub — not mineable

📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Read the contribution guide →Open a claim issue →

Forward model E

S t a g e 1 (s ib l in g t o L 1 - 388) : r a w_{E} C G \to se p a r a t e d_{c} a r d ia c + f e a t u r es R_{p} e a k_{t} im es, QR S_{m} or p h o l o g y, P_{w} a v e, R R . S t a g e 2 : AA M I_{c} l a ss = s t e p (f e a t u r es p er AA M I E C 57 t h r es h o l d s) .

ECG Arrhythmia Classification (PWDR): wraps L1-388-style biomedical signal processing with established AAMI EC57 standard arrhythmia rules. Stage 1 (analytical, sibling to L1-388): from multi-lead or single-lead ECG, separate cardiac signal from baseline drift + powerline interference + EMG via blind source separation (ICA / NMF / wavelet); detect R-peaks via Pan-Tompkins or learned filter; extract per-beat features (RR interval, QRS morphology template, P-wave presence, QRS width, ST elevation/depression). Stage 2 (deterministic threshold): apply AAMI EC57 decision rules to classify each beat. Difficulty tier delta = 3.

L-DAG

L.ecg_acquisition -> L.bandpass_filter -> L.blind_source_separation -> L.r_peak_detection -> L.qrs_feature_extraction -> L.aami_threshold_classifier -> int.temporal

L.ecg_acquisitionL.bandpass_filterL.blind_source_separationL.r_peak_detectionL.qrs_feature_extractionL.aami_threshold_classifierint.temporal

Well-posedness W

Existence:: true
Uniqueness:: conditional
Stability:: conditional
κ:: 80

Existence inherited from L1-388. Uniqueness conditional on adequate SNR (typical 20-30 dB) and clean lead placement. Stability dominated by motion_artifact_wearable for consumer ECG. Joint Hadamard well-posedness established by Pan-Tompkins 1985 (foundational R-peak detection), AAMI 1998 EC57 standard, Hannun 2019 (deep-learning ECG arrhythmia detection at cardiologist level), Attia 2019 (Apple Heart Study), Perez 2019 (smartwatch AF screening).

Solvability C

Solver class:: linear-operator + signal-processing [Pan-Tompkins R-peak + ICA / wavelet template] + categorical-readout [AAMI EC57 classifier] | end-to-end deep neural [DeepECG, Hannun-Andrew Stanford CNN]
Convergence rate q:: 1
Complexity:: O(N_samples * log(N_samples)) for stage 1 + O(N_beats) for stage 2

Specs (0)

No L2 specs registered yet for this principle.