Variational autoencoders (VAEs) and other generative methods have garnered growing interest not just for their generative properties but also for the ability to dis-entangle a low-dimensional latent variable space. However, few existing generative models take causality into account. We propose a new decoder based framework named the Causal Counterfactual Generative Model (CCGM), which includes a partially trainable causal layer in which a part of a causal model can be learned without significantly impacting reconstruction fidelity. By learning the causal relationships between image semantic labels or tabular variables, we can analyze biases, intervene on the generative model, and simulate new scenarios. Furthermore, by modifying the causal structure, we can generate samples outside the domain of the original training data and use such counterfactual models to de-bias datasets. Thus, datasets with known biases can still be used to train the causal generative model and learn the causal relationships, but we can produce de-biased datasets on the generative side. Our proposed method combines a causal latent space VAE model with specific modification to emphasize causal fidelity, enabling finer control over the causal layer and the ability to learn a robust intervention framework. We explore how better disentanglement of causal learning and encoding/decoding generates higher causal intervention quality. We also compare our model against similar research to demonstrate the need for explicit generative de-biasing beyond interventions. Our initial experiments show that our model can generate images and tabular data with high fidelity to the causal framework and accommodate explicit de-biasing to ignore undesired relationships in the causal data compared to the baseline.

Causal representation learning has been proposed to encode relationships between factors presented in the high dimensional data. However, existing methods suffer from merely using a large amount of labeled data and ignore the fact that samples generated by the same causal mechanism follow the same causal relationships. In this paper, we seek to explore such information by leveraging do-operation to reduce supervision strength. We propose a framework that implements do-operation by swapping latent cause and effect factors encoded from a pair of inputs. Moreover, we also identify the inadequacy of existing causal representation metrics empirically and theoretically and introduce new metrics for better evaluation. Experiments conducted on both synthetic and real datasets demonstrate the superiorities of our method compared with state-of-the-art methods.

Learning disentanglement aims at finding a low dimensional representation, which consists of multiple explanatory and generative factors of the observational data. The framework of variational autoencoder is commonly used to disentangle independent factors from observations. However, in real scenarios, the factors with semantic meanings are not necessarily independent. Instead, there might be an underlying causal structure due to physics laws. We thus propose a new VAE based framework named CausalVAE, which includes causal layers to transform independent factors into causal factors that correspond to causally related concepts in data. We analyze the model identifiabitily of CausalVAE, showing that the generative model learned from the observational data recovers the true one up to a certain degree. Experiments are conducted on various datasets, including synthetic datasets consisting of pictures with multiple causally related objects abstracted from physical world, and a benchmark face dataset CelebA. The results show that the causal representations by CausalVAE are semantically interpretable, and lead to better results on downstream tasks. The new framework allows causal intervention, by which we can intervene any causal concepts to generate artificial data.