Treffer: Comparison of Margowski Integral Method and Classic Interpolation for ECG Reconstruction with Artificial Data Gap

This dataset contains the full preprint, Python code, and result graphics for the publication "Comparison of Margowski Integral Method and Classic Interpolation for ECG Reconstruction with Artificial Data Gap". However, the Margowski Integral Method is much more than an ECG reconstruction tool.It is a novel, universally applicable mathematical approach for robust, mathematically guaranteed reconstruction of arbitrary signals or data sets – even under conditions of strong noise, incompleteness, or chaos. The method provides analytical invertibility, optimal regularization without heuristic tuning, and explicit error control, setting a new standard for "ill-posed" inverse problems in mathematics, physics, engineering, and data science. Key features: Universally applicable to all kinds of signals, images, time series, and high-dimensional data. Mathematically proven error control and lossless reconstruction. No need for heuristic or manual tuning; regularization is chosen analytically. Robust even in the presence of noise, outliers, or missing data. Open-source and fully reproducible: Includes example code and data for easy adoption. The included example demonstrates the method's application to real ECG data, but the approach is directly transferable to many other fields, such as sensor data processing, climate research, medical diagnostics, finance, and beyond. Files included: Preprint (PDF, including theoretical foundations and practical results) Python code for generic and ECG-specific data reconstruction Result figure as PNG Keywords: universal data reconstruction, Margowski integral, inverse problems, robust estimation, error control, open source, reproducible research --- German --- Dieses Datenset enthält die vollständige wissenschaftliche Arbeit (Preprint), den Python-Code und die Ergebnisgrafik zur Veröffentlichung „Vergleich der Margowski-Integral-Methode und klassischer Interpolation zur Rekonstruktion von EKG-Signalen mit künstlichen Datenlücken“. Die Margowski-Integral-Methode ist jedoch weit mehr als ...