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Federated Causal Discovery from Heterogeneous Data

ICLR 2024 · Federated learning and privacy › Personalized and heterogeneous FL · approach: Federated learning with pretrained models · 0 citations (OpenAlex)

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Proposes FedCDH, a constraint-based federated causal discovery method for heterogeneous data using a surrogate client-index variable, a federated conditional independence test and a federated independent change principle, both computed from summary statistics (sample size and random-feature covariance tensor).

Problem

Federated causal discovery is limited by assumptions of identifiable functional causal models and homogeneous data distributions across clients; the paper targets decentralized, heterogeneous data with arbitrary causal models.

Approach

Uses the client/domain index as a surrogate variable to model heterogeneity, and makes conditional independence tests and the independent change principle federated by computing them from summed local covariance tensors built with random Fourier features, so raw data are never shared and only one communication round is needed.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use FedCDH instead of the compared FCD baselinesFederated causal discovery · Synthetic linear Gaussian and general functional modelsF1 scoreHelped
Use FedCDH instead of the compared FCD baselinesFederated causal discovery · Synthetic linear Gaussian and general functional modelsSHDHelped

Limitations

Experimental setup

Datasets: fMRI Hippocampus HK Stock Market synthetic linear Gaussian and general functional SCM data

Benchmarks: fMRI Hippocampus HK Stock Market synthetic linear Gaussian and general functional datasets

Metrics: skeleton F1 skeleton SHD direction F1 direction SHD precision recall

Baselines: NOTEARS-ADMM NOTEARS-MLP-ADMM FedDAG FedPC

Builds on: CD-NOD KCI Independent Change Principle PC algorithm random Fourier features

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