Bayesian algorithms for joint estimation of brain activity and noise in electromagnetic imaging
Autor(in); Institution
Cai, Chang; National Engineering Research Center for E-Learning, Central China Normal University, Wuhan, CHINA
Kang, Huicong; Department of Neurology, Tongji Medical College, Tongji Hospital, Huazhong University of Science and Technology, Hubei, Wuhan, CHINA
Hashemi, Ali; Inverse Modeling and Machine Learning Group, Technische Universität Berlin, Berlin, Uncertainty, GERMANY; Machine Learning Group, Faculty IV Electrical Engineering and Computer Science, Institute of Software Engineering and Theoretical Computer Science, Technische Universität Berlin, Berlin, GERMANY
Chen, Dan; School of Computer Science, Wuhan University, Wuhan, CHINA
Diwakar, Mithun; Department of Radiology, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
Haufe, Stefan; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin; Inverse Modeling and Machine Learning Group, Technische Universität Berlin, Berlin, Uncertainty, GERMANY; Charité - Universitätsmedizin Berlin, Berlin, GERMANY
et al.,
Quelle/Jahr
IEEE Transactions on Medical Imaging: 42
(2023), 3, 762
- 773
Simultaneously estimating brain source activity and noise has long been a challenging task in electromagnetic brain imaging using magneto- and electroencephalography. The problem is challenging not only in terms of solving the NP-hard inverse problem of reconstructing unknown brain activity across thousands of voxels from a limited number of sensors, but also for the need to simultaneously estimate the noise and interference. We present a generative model with an augmented leadfield matrix to simultaneously estimate brain source activity and sensor noise statistics in electromagnetic brain imaging (EBI). We then derive three Bayesian inference algorithms for this generative model (expectation-maximization (EBI-EM), convex bounding (EBI-Convex) and fixed-point (EBI-Mackay)) to simultaneously estimate the hyperparameters of the prior distribution for brain source activity and sensor noise. A comprehensive performance evaluation for these three algorithms is performed. Simulations consistently show that the performance of EBI-Convex and EBI-Mackay updates is superior to that of EBI-EM. In contrast to the EBI-EM algorithm, both EBI-Convex and EBI-Mackay updates are quite robust to initialization, and are computationally efficient with fast convergence in the presence of both Gaussian and real brain noise. We also demonstrate that EBI-Convex and EBI-Mackay update algorithms can reconstruct complex brain activity with only a few trials of sensor data, and for resting-state data, achieving significant improvement in source reconstruction and noise learning for electromagnetic brain imaging.
Themenbereich der Metrologie
Metrologie in der Medizin
Zitierung
Cai, C., Kang, H., Hashemi, A., Chen, D., Diwakar, M., Haufe, S., & et al. (2023). Bayesian algorithms for joint estimation of brain activity and noise in electromagnetic imaging. IEEE Transactions on Medical Imaging, 42(3), 762–773. https://doi.org/10.1109/TMI.2022.3218074
