Intervening to Learn and Compose Causally Disentangled Representations

Fuente: arXiv
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Hauptverfasser: Markham, Alex, Hirsch, Isaac, Chang, Jeri A., Solus, Liam, Aragam, Bryon
Format: Preprint
Veröffentlicht: 2025
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author Markham, Alex
Hirsch, Isaac
Chang, Jeri A.
Solus, Liam
Aragam, Bryon
author_facet Markham, Alex
Hirsch, Isaac
Chang, Jeri A.
Solus, Liam
Aragam, Bryon
contents In designing generative models, it is commonly believed that in order to learn useful latent structure, we face a fundamental tension between expressivity and structure. In this paper we challenge this view by proposing a new approach to training arbitrarily expressive generative models that simultaneously learn causally disentangled concepts. This is accomplished by adding a simple context module to an arbitrarily complex black-box model, which learns to process concept information by implicitly inverting linear representations from the model's encoder. Inspired by the notion of intervention in a causal model, our module selectively modifies its architecture during training, allowing it to learn a compact joint model over different contexts. We show how adding this module leads to causally disentangled representations that can be composed for out-of-distribution generation on both real and simulated data. The resulting models can be trained end-to-end or fine-tuned from pre-trained models. To further validate our proposed approach, we prove a new identifiability result that extends existing work on identifying structured representations.
format Preprint
id arxiv_https___arxiv_org_abs_2507_04754
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intervening to Learn and Compose Causally Disentangled Representations
Markham, Alex
Hirsch, Isaac
Chang, Jeri A.
Solus, Liam
Aragam, Bryon
Machine Learning
I.2.6
In designing generative models, it is commonly believed that in order to learn useful latent structure, we face a fundamental tension between expressivity and structure. In this paper we challenge this view by proposing a new approach to training arbitrarily expressive generative models that simultaneously learn causally disentangled concepts. This is accomplished by adding a simple context module to an arbitrarily complex black-box model, which learns to process concept information by implicitly inverting linear representations from the model's encoder. Inspired by the notion of intervention in a causal model, our module selectively modifies its architecture during training, allowing it to learn a compact joint model over different contexts. We show how adding this module leads to causally disentangled representations that can be composed for out-of-distribution generation on both real and simulated data. The resulting models can be trained end-to-end or fine-tuned from pre-trained models. To further validate our proposed approach, we prove a new identifiability result that extends existing work on identifying structured representations.
title Intervening to Learn and Compose Causally Disentangled Representations
topic Machine Learning
I.2.6
url https://arxiv.org/abs/2507.04754