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Robust Quaternion Recurrent Neural Network for Adaptive Prediction of Multidimensional Respiratory Motion


แนวคิดหลัก
A robust quaternion recurrent neural network (QRNN) is developed that combines real-time recurrent learning (RTRL) and the maximum correntropy criterion (MCC) as a loss function, enabling efficient processing and prediction of 3D and 4D data with outliers.
บทคัดย่อ

The paper introduces a QRNN model that leverages the advantages of quaternion algebra and combines it with the RTRL algorithm and the MCC loss function to enable robust real-time processing and prediction of multidimensional data, particularly in the context of respiratory motion prediction for lung cancer radiotherapy.

The key highlights and insights are:

  1. Quaternion neural networks can leverage the inherent multidimensional nature of quaternions to build more compact and robust models compared to quadrivariate real ones.
  2. The RTRL algorithm is employed for the QRNN to enable online learning and adaptation to dynamic patterns in the data, which is crucial for real-time applications.
  3. The MCC loss function is used as an alternative to the mean squared error (MSE), as it is less sensitive to outliers and heavy-tailed noise, making it suitable for applications with noisy multidimensional data.
  4. The novel generalized HR (GHR) calculus is utilized to derive the gradient expressions for the QRNN with RTRL and MCC in a compact and elegant manner.
  5. Simulations in the context of motion prediction of chest internal markers for lung cancer radiotherapy demonstrate the superior performance of the proposed QRNN with RTRL and MCC compared to other algorithms, particularly in the presence of irregular breathing patterns.
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สถิติ
The QRNN with RTRL and MCC exhibited the lowest root mean squared error (RMSE) of 1.486 mm and normalized RMSE of 0.3148 averaged over all the test sequences, outperforming the QRNN with RTRL and MSE, the RNN with RTRL and MCC or MSE, as well as the QLMS and LMS algorithms. The QRNN with RTRL and MCC also showed the lowest jitter of 0.77 mm in the context of irregular breathing, significantly outperforming the other algorithms.
คำพูด
"Quaternion neural networks (QNNs) leverage the inherent multidimensional nature of quaternions to build models that are more compact than quadrivariate real ones, thus improving parameter efficiency and potentially capturing intricate patterns in data." "Unlike MSE, the maximum correntropy criterion (MCC) is a non-quadratic loss function, which employs a nonlinear kernel to measure the similarity between the actual and predicted data, making it less sensitive to outliers and suitable for applications with noisy and heavy tailed data."

ข้อมูลเชิงลึกที่สำคัญจาก

by Pauline Bour... ที่ arxiv.org 04-04-2024

https://arxiv.org/pdf/2402.14227.pdf
Quaternion recurrent neural network with real-time recurrent learning  and maximum correntropy criterion

สอบถามเพิ่มเติม

How can the proposed QRNN with RTRL and MCC be extended to handle more complex respiratory motion patterns, such as those involving irregular breathing coupled with other physiological factors (e.g., coughing, talking)

The proposed QRNN with RTRL and MCC can be extended to handle more complex respiratory motion patterns by incorporating additional input features and refining the training process. To address irregular breathing coupled with other physiological factors like coughing or talking, the network can be trained on a more diverse dataset that includes a wider range of motion patterns. Feature Engineering: Introducing additional input features related to physiological signals such as airflow, vocal activity, or coughing patterns can provide the network with more information to adapt to complex scenarios. These features can be pre-processed and synchronized with the motion data to create a comprehensive input representation. Multi-Modal Learning: Implementing a multi-modal learning approach where the network processes both motion data and physiological signals simultaneously can enhance its ability to capture the interplay between different factors affecting respiratory motion. This can be achieved by designing a fusion mechanism that combines information from various modalities. Dynamic Adaptation: Incorporating adaptive learning mechanisms that adjust the network's parameters based on the input data distribution can help the QRNN adapt in real-time to changing patterns. Techniques like online learning with adaptive learning rates or dynamic network architectures can improve the network's robustness to irregularities. Data Augmentation: Generating synthetic data that simulates irregular breathing patterns coupled with physiological events can enrich the training dataset. By exposing the network to a diverse set of scenarios during training, it can learn to generalize better and handle unseen variations in respiratory motion. By implementing these strategies, the QRNN with RTRL and MCC can be enhanced to effectively model and predict complex respiratory motion patterns involving irregular breathing and other physiological factors.

What other real-world applications beyond respiratory motion prediction could benefit from the robust and adaptive nature of the QRNN with RTRL and MCC

The robust and adaptive nature of the QRNN with RTRL and MCC can benefit various real-world applications beyond respiratory motion prediction. Some potential applications include: Gesture Recognition: In human-computer interaction systems, the QRNN can be utilized to recognize and predict complex hand gestures or body movements, enabling more intuitive and responsive interfaces. Financial Forecasting: The network can be applied to predict stock market trends, currency exchange rates, or commodity prices by analyzing multidimensional financial data, offering valuable insights for investment decisions. Healthcare Monitoring: In healthcare, the QRNN can be used for patient monitoring, disease diagnosis, and treatment optimization by analyzing multidimensional physiological data streams and adapting to individual patient profiles. Autonomous Vehicles: Implementing the QRNN in autonomous vehicles can enhance their ability to predict and respond to complex traffic scenarios, pedestrian movements, and environmental conditions in real-time, improving safety and efficiency. Environmental Monitoring: The network can be employed in environmental monitoring systems to predict natural disasters, weather patterns, or pollution levels based on multidimensional sensor data, aiding in early warning systems and decision-making processes. By leveraging the adaptability and robustness of the QRNN with RTRL and MCC, these applications can benefit from accurate predictions and real-time processing of multidimensional data in dynamic environments.

How can the computational efficiency of the QRNN with RTRL and MCC be further improved to enable real-time deployment in clinical settings with strict latency requirements

To improve the computational efficiency of the QRNN with RTRL and MCC for real-time deployment in clinical settings with strict latency requirements, several optimization strategies can be implemented: Hardware Acceleration: Utilizing specialized hardware such as GPUs or TPUs can significantly speed up the network's computations, enabling faster training and prediction times. Implementing parallel processing techniques on these platforms can exploit their high computational power. Quantization and Pruning: Applying quantization techniques to reduce the precision of network parameters and pruning methods to eliminate redundant connections can decrease the computational complexity of the model without compromising accuracy, leading to faster inference times. Model Compression: Employing model compression techniques like knowledge distillation or low-rank factorization can reduce the size of the network while preserving its predictive performance, resulting in faster computations and lower memory requirements. Batch Processing: Optimizing the batch processing strategy during training and inference can enhance computational efficiency. By adjusting batch sizes, data loading mechanisms, and parallel processing schemes, the network can process data more efficiently. Algorithmic Improvements: Fine-tuning the optimization algorithms used for training, such as incorporating adaptive learning rates, momentum techniques, or advanced optimization methods like Adam or RMSprop, can accelerate convergence and improve overall efficiency. By integrating these approaches, the computational efficiency of the QRNN with RTRL and MCC can be enhanced, making it suitable for real-time deployment in clinical settings where low latency is crucial.
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