Leonardo Cotta, “Causal Lifting and Link Prediction”

/ August 19, 2022/

When:
October 18, 2022 @ 12:00 pm – 1:15 pm
2022-10-18T12:00:00-04:00
2022-10-18T13:15:00-04:00

Leonardo Cotta, PhD

Postdoctoral Fellow

Vector Institute Toronto

Abstract: Current state-of-the-art causal models for link prediction assume an underlying set of inherent node factors —a innate characteristic defined at the node’s birth— that govern the causal evolution of links in the graph. In some causal tasks, however, link formation is path-dependent, i.e., the outcome of link interventions depends on existing links. For instance, in the customer-product graph of an online retailer, the effect of an 85-inch TV ad (treatment) likely depends on whether the consumer already has an 85-inch TV. In order to remedy this shortcoming, I will present the first causal model capable of dealing with path dependencies in link prediction. Further, I will introduce the concept of causal lifting, a symmetry in causal models that, when satisfied, allows the identification of causal link prediction queries using limited interventional data. On the estimation side, I will show how invariant pairwise embeddings —a type of symmetry-based joint representation of pairs of nodes— presents lower bias, variance and PAC-Bayes bounds than existing node embedding methods, e.g., GNNs and matrix factorization.

Biography: Leonardo Cotta is a postdoctoral fellow at the Vector Institute in Toronto. He obtained his PhD at Purdue University under Prof. Bruno Ribeiro. His research interests are in invariant and causal representation learning, with a focus on sampling and modeling complex systems. He received fellowships from Vector Institute in 2022 and Qatar Computing Research Institute in 2017, apart from a “Young Talents of Science” award given by the Brazilian Government in 2013.

 

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