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d5c04aa72b92c53bda5b525b60958295-Supplemental-Conference.pdf

Neural Information Processing Systems

Westudy linear regression under covariate shift, where themarginal distribution over the input covariates differs in the source and the target domains, while the conditional distribution of the output given the input covariates is similar across thetwodomains.



Sample Complexity of Interventional Causal Representation Learning

Neural Information Processing Systems

Consider a data-generation process that transforms low-dimensional latent causally-related variables to high-dimensional observed variables. Causal representation learning (CRL) is the process of using the observed data to recover the latent causal variables and the causal structure among them.


ApproximateValueEquivalence

Neural Information Processing Systems

This gives rise to a rich collection oftopological relationships and conditions under which VE models are optimal for planning. Despite this effort, relatively little is known about the planning performance of models that fail to satisfy these conditions.







A Proof of theorems) such that H

Neural Information Processing Systems

Since c is the center point of the Poincaré hyperplane, the vector! The classification function f has the HEX property with respect to G if and only if for any constraint in G, the corresponding loss term is 0. Note that the loss term of the constraint being 0 implies that the corresponding constraint is respected. Our loss terms clearly connect the HEX property. According to the definition of HEX-property, f has the HEX property with respect to G if and only if the corresponding loss term of the corresponding constraint is 0. Corollary 1. Given a HEX graph G of labels and if the loss of the embeddings is 0, then the learned prediction function is logically consistent with respect to G. Hence, the loss being 0 implies that all losses are zeros (all constraints are satisfied).