New ADMM method for PARAFAC2 tensor decomposition with flexible regularization.
arXiv research
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Modeling variability in tensor decomposition methods is one of the challenges of source separation. One possible solution to account for variations from one data set to another, jointly analysed, is to resort to the PARAFAC2 model. However, so far imposing constraints on the mode with variability has not been possible.…
A new method constrains PARAFAC2 for better pattern recovery.
Paper proposes an algorithm for PARAFAC2-based CMTF models with various constraints.
The PARAFAC2 is a multimodal factor analysis model suitable for analyzing multi-way data when one of the modes has incomparable observation units, for example because of differences in signal sampling or batch sizes. A fully probabilistic treatment of the PARAFAC2 is desirable in order to improve robustness to noise an…
dCMF models evolving patterns in multiway data with temporal dynamics.
Proposes tPARAFAC2 for tracking evolving patterns in time-evolving data.
PARAFAC2 has demonstrated success in modeling irregular tensors, where the tensor dimensions vary across one of the modes. An example scenario is modeling treatments across a set of patients with the varying number of medical encounters over time. Despite recent improvements on unconstrained PARAFAC2, its model factors…
A new method combines multiple node embeddings using tensor decomposition.
Tensor models improve joint EEG and fMRI analysis.
Phenotyping electronic health records (EHR) focuses on defining meaningful patient groups (e.g., heart failure group and diabetes group) and identifying the temporal evolution of patients in those groups. Tensor factorization has been an effective tool for phenotyping. Most of the existing works assume either a static …