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Learning Joint Nonlinear Effects from Single-variable Interventions in the Presence of Hidden Confounders

Saengkyongam, S; Silva, R; (2020) Learning Joint Nonlinear Effects from Single-variable Interventions in the Presence of Hidden Confounders. In: Peters, J and Sontag, D, (eds.) Proceedings of Machine Learning Research. (pp. pp. 300-309). PMLR: Online conference. Green open access

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Abstract

We propose an approach to estimate the effect of multiple simultaneous interventions in the presence of hidden confounders. To overcome the problem of hidden confounding, we consider the setting where we have access to not only the observational data but also sets of single-variable interventions in which each of the treatment variables is intervened on separately. We prove identifiability under the assumption that the data is generated from a nonlinear continuous structural causal model with additive Gaussian noise. In addition, we propose a simple parameter estimation method by pooling all the data from different regimes and jointly maximizing the combined likelihood. We also conduct comprehensive experiments to verify the identifiability result as well as to compare the performance of our approach against a baseline on both synthetic and realworld data.

Type: Proceedings paper
Title: Learning Joint Nonlinear Effects from Single-variable Interventions in the Presence of Hidden Confounders
Event: Uncertainty in Artificial Intelligence
Location: Online
Open access status: An open access version is available from UCL Discovery
Publisher version: http://proceedings.mlr.press/v124/
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/10110166
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