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Summary of Bayesian Causal Inference with Gaussian Process Networks, by Enrico Giudice et al.


Bayesian Causal Inference with Gaussian Process Networks

by Enrico Giudice, Jack Kuipers, Giusi Moffa

First submitted to arxiv on: 1 Feb 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); Methodology (stat.ME)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper proposes a Bayesian framework for estimating the effects of hypothetical interventions in complex networks, using the Gaussian Process Network (GPN) model. The authors detail how to perform causal inference by simulating the intervention’s effect across the network and propagating it downstream. They also develop a simpler approximation that estimates the intervention distribution based on local variables. The approach is extended to handle uncertainty about the causal graph structure, using Markov chain Monte Carlo methods. Simulation results show that the method can identify non-linear effects with Gaussian data and accurately reflect posterior uncertainty. The authors compare their approach to existing methods on a dataset of gene expressions.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper explores how to use computers to figure out what would happen if we changed something in a complex system. Imagine you’re trying to understand how a plant grows, and you want to know what would happen if you added more water or sunlight. The authors develop a new way to do this using a special type of math called Gaussian Process Networks. They show that their method can work even when the data isn’t perfectly linear or normal-shaped. They also test their approach on real plant growth data and compare it to other methods.

Keywords

* Artificial intelligence  * Inference