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Paper · arXiv

MatrixFormer: A Foundation Model for Matrix Completion

Matrix completion underlies problems from tabular imputation to causal inference, yet existing tabular foundation models treat it as entry-by-entry prediction, repeating context for every target and discarding the matrix's two-dimensional structure. We introduce MatrixFormer, a pre-trained matrix-native transformer that predicts a full distribution for every missing entry in a single forward pass. MatrixFormer is trained entirely on synthetic low-rank and latent-factor matrices under diverse missingness patterns. Applied zero-shot and with the same model weights, MatrixFormer achieves competitive performance on causal inference panel-data tasks, language-model benchmark-score completion, ...

AuthorsDwaipayan Saha, Jacob Feitelberg, Kyuseong Choi et al.
Primary categorycs.LG
Published5 October 2026
Last updated at source5 October 2026
cs.LGcs.AI
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