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Published on: September 25, 2019
Quantile Regression for Uncertainty Estimation in VAEs with Applications to Brain Lesion Detection
Haleh Akrami1, Anand Joshi1, Sergul Aydore2
1University of Southern California, Los Angeles, USA.
The Quantile-Regression Variational AutoEncoder (QR-VAE) improves anomaly detection by addressing variance underestimation. This method enhances lesion detection in medical images by accurately modeling data distributions.
Area of Science:
- Machine Learning
- Medical Imaging Analysis
- Computer Vision
Background:
- Variational Autoencoders (VAEs) are popular for anomaly detection, particularly in medical imaging for tasks like lesion detection.
- VAEs learn data distributions to identify deviations, often using reconstruction probability.
- A key challenge in VAEs is the underestimation of variance when jointly optimizing mean and variance.
Purpose of the Study:
- To introduce a novel Variational AutoEncoder model, the Quantile-Regression VAE (QR-VAE).
- To overcome the variance shrinkage problem inherent in traditional VAEs.
- To provide a principled approach for anomaly detection using reconstruction probability.
Main Methods:
- Developed the Quantile-Regression VAE (QR-VAE) model.
- QR-VAE estimates conditional quantiles instead of directly optimizing variance.
- Computed conditional mean and variance from estimated quantiles for Gaussian modeling.
- Utilized reconstruction probability for anomaly detection.
Main Results:
- The QR-VAE effectively avoids the variance shrinkage problem.
- The model enables principled anomaly detection through reconstruction probability.
- Demonstrated application in heterogeneous thresholding for brain lesion detection.
Conclusions:
- QR-VAE offers a robust solution to variance underestimation in VAEs.
- This approach enhances anomaly detection accuracy in medical imaging.
- QR-VAE shows promise for improved lesion detection in brain scans.
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