# Multi-task Learning of Order-Consistent Causal Graphs

@article{Chen2021MultitaskLO, title={Multi-task Learning of Order-Consistent Causal Graphs}, author={Xinshi Chen and Haoran Sun and Caleb Ellington and Eric P. Xing and Le Song}, journal={ArXiv}, year={2021}, volume={abs/2111.02545} }

We consider the problem of discovering K related Gaussian directed acyclic graphs (DAGs), where the involved graph structures share a consistent causal order and sparse unions of supports. Under the multi-task learning setting, we propose a l 1 /l 2 regularized maximum likelihood estimator (MLE) for learning K linear structural equation models. We theoretically show that the joint estimator, by leveraging data across related tasks, can achieve a better sample complexity for recovering the…

## One Citation

### On the Convergence of Continuous Constrained Optimization for Structure Learning

- Computer ScienceAISTATS
- 2022

This work reviews the standard convergence result of the ALM and shows that the required conditions are not satisfied in the recent continuous constrained formulation for learning DAGs, and establishes the convergence guarantee of QPM to a DAG solution, under mild conditions, based on a property of the DAG constraint term.

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