Advanced Computation ==================== This section covers the advanced computational techniques provided by the VitalDSP library. These methods are designed to handle complex signal processing tasks, including machine learning, anomaly detection, Bayesian analysis, and advanced signal processing algorithms. Overview ======== The advanced computation module provides cutting-edge algorithms for: * **Machine Learning**: Neural networks, reinforcement learning, and adaptive filtering * **Anomaly Detection**: Real-time and batch anomaly detection algorithms * **Bayesian Analysis**: Probabilistic modeling and optimization * **Signal Decomposition**: EMD, harmonic separation, and sparse processing * **Nonlinear Analysis**: Complex system analysis and chaos theory * **Multimodal Fusion**: Multi-signal integration and analysis Machine Learning and AI ======================== Neural Network Filtering ~~~~~~~~~~~~~~~~~~~~~~~~ Advanced filtering techniques leveraging neural networks to process and enhance biomedical signals. .. automodule:: vitalDSP.advanced_computation.neural_network_filtering :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Reinforcement Learning Filter ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Filtering methods that use reinforcement learning to adaptively improve signal quality based on feedback loops. .. automodule:: vitalDSP.advanced_computation.reinforcement_learning_filter :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Anomaly Detection ================= Anomaly Detection ~~~~~~~~~~~~~~~~~ Techniques for identifying anomalies in biomedical signals, crucial for detecting irregularities and potential issues in real-time signal monitoring. .. automodule:: vitalDSP.advanced_computation.anomaly_detection :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Real-Time Anomaly Detection ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Real-time methods for detecting anomalies in streaming biomedical signals, crucial for monitoring and alert systems. .. automodule:: vitalDSP.advanced_computation.real_time_anomaly_detection :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Bayesian Analysis ================= Bayesian Analysis ~~~~~~~~~~~~~~~~~ Bayesian methods applied to signal processing, offering a probabilistic approach to model and interpret signal data. .. automodule:: vitalDSP.advanced_computation.bayesian_analysis :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Empirical Mode Decomposition (EMD) ---------------------------------- Decomposing signals into intrinsic mode functions using Empirical Mode Decomposition, useful in analyzing non-linear and non-stationary signals. .. automodule:: vitalDSP.advanced_computation.emd :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Generative Signal Synthesis --------------------------- Methods for generating synthetic signals that mimic real-world biomedical signals, useful in training and testing algorithms. .. automodule:: vitalDSP.advanced_computation.generative_signal_synthesis :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Harmonic/Percussive Separation ------------------------------ Techniques for separating harmonic and percussive components of signals, particularly useful in audio signal processing. .. automodule:: vitalDSP.advanced_computation.harmonic_percussive_separation :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Kalman Filter ------------- Implementing Kalman Filters for optimal estimation of system states, widely used in tracking and predictive modeling. .. automodule:: vitalDSP.advanced_computation.kalman_filter :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Multimodal Fusion ----------------- Combining information from multiple signal sources to improve the accuracy and robustness of signal analysis. .. automodule:: vitalDSP.advanced_computation.multimodal_fusion :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Neural Network Filtering ------------------------ Advanced filtering techniques leveraging neural networks to process and enhance biomedical signals. .. automodule:: vitalDSP.advanced_computation.neural_network_filtering :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Non-Linear Analysis ------------------- Analyzing signals using non-linear methods, essential for understanding complex systems where traditional linear methods fall short. .. automodule:: vitalDSP.advanced_computation.non_linear_analysis :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Pitch Shift ----------- Techniques for shifting the pitch of audio signals, often used in music signal processing and speech modulation. .. automodule:: vitalDSP.advanced_computation.pitch_shift :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Real-Time Anomaly Detection --------------------------- Real-time methods for detecting anomalies in streaming biomedical signals, crucial for monitoring and alert systems. .. automodule:: vitalDSP.advanced_computation.real_time_anomaly_detection :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Reinforcement Learning Filter ----------------------------- Filtering methods that use reinforcement learning to adaptively improve signal quality based on feedback loops. .. automodule:: vitalDSP.advanced_computation.reinforcement_learning_filter :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: Sparse Signal Processing ------------------------ Techniques focused on processing and analyzing sparse signals, which are common in compressed sensing and other applications. .. automodule:: vitalDSP.advanced_computation.sparse_signal_processing :members: :undoc-members: :private-members: :exclude-members: __dict__, __weakref__, __module__, __annotations__ :noindex: