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0111 · Apr 201719922001200920172026
3 results for AJIVE

This paper analyzes AJIVE for estimating shared subspace across multiple datasets, revealing its strengths and limitations.

problem Estimating shared subspace across multiple datasets with varying degrees of misalignment.
method Angle-based Joint and Individual Variation Explained (AJIVE) method, a two-stage spectral approach.
result AJIVE's performance in high signal-to-noise ratio (SNR) regimes and its non-diminishing error in low-SNR settings.

Integrative analysis of disparate data blocks measured on a common set of experimental subjects is a major challenge in modern data analysis. This data structure naturally motivates the simultaneous exploration of the joint and individual variation within each data block resulting in new insights. For instance, there i…

2017-04-07abs ↗pdf ↗

Proposes HeteroJIVE for joint subspace estimation in multi-view data with statistical and structural heterogeneity.

problem Joint subspace estimation in multi-view data with varying statistical and structural heterogeneity.
method HeteroJIVE: A weighted two-stage spectral algorithm addressing statistical and structural heterogeneity.
result HeteroJIVE achieves the O(K1/2)O(K^{-1/2}) rate without iterative refinement, validating the oracle-optimal weighting scheme.