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Applied Topological Signal Processing with Python: Persistent Homology and Feature Extraction for Temporal Data - Couverture souple

Marwood, Helena K.

 
9798176996296: Applied Topological Signal Processing with Python: Persistent Homology and Feature Extraction for Temporal Data
Couverture souple
ISBN 13 : 9798176996296
Editeur : Independently published, 2026

Synopsis

Reactive Publishing

Traditional signal processing relies heavily on Fourier transforms and time-frequency methods—tools that often fail when dealing with non-stationary, noisy, or high-dimensional real-time data. Applied Topological Signal Processing with Python bridges the gap between abstract mathematical topology and practical engineering, providing a hands-on guide to analyzing complex temporal data streams.

This book delivers a concrete framework for implementing Topological Data Analysis (TDA) directly in real-world signal workflows. Through complete Python examples, you will learn how to transform raw physical measurements and time-series arrays into persistence diagrams, extract robust structural features, and strip out background noise without losing critical phase information.

Inside, you will explore:

  • Fundamentals of Persistent Homology: Construct Vietoris-Rips and filtration complexes from numerical time-series.

  • Noise Reduction & Filtering: Separate true topological signal signatures from random ambient noise.

  • Feature Vectorization: Convert persistence landscapes and diagrams into ML-ready inputs for Scikit-Learn and PyTorch models.

  • Real-Time Signal Workflows: Implement sliding-window algorithms designed for streaming data pipelines.

  • Python Tooling: Practical implementations using Gudhi, Ripser, SciPy, and NumPy.

Whether you are a data scientist working with sensor networks, a biomedical engineer analyzing ECG/EEG signals, or a quantitative developer processing financial ticks, this text provides the exact code patterns and mathematical foundations needed to deploy topological methods into production.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Independently published
Date d'édition
2026
Langue
anglais
ISBN 13 
9798176996296
Reliure
Broché
Nombre de pages
444
Éditeur
Schwartz Alice
Coordonnées du fabricant
Printed by Amazon on behalf of the author
https://www.amazon.fr/hz/contact-us

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