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.
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Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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Da: AHA-BUCH GmbH, Einbeck, Germania
Taschenbuch. Condizione: Neu. Neuware. Codice articolo 9798176996296
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