Beyond the Black Box: Identifiable Interpretation and Control in Generative Models via Causal Minimality

Fuente: arXiv
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Autores principales: Kong, Lingjing, Xie, Shaoan, Chen, Guangyi, Sun, Yuewen, Song, Xiangchen, Xing, Eric P., Zhang, Kun
Formato: Preprint
Publicado: 2025
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author Kong, Lingjing
Xie, Shaoan
Chen, Guangyi
Sun, Yuewen
Song, Xiangchen
Xing, Eric P.
Zhang, Kun
author_facet Kong, Lingjing
Xie, Shaoan
Chen, Guangyi
Sun, Yuewen
Song, Xiangchen
Xing, Eric P.
Zhang, Kun
contents Deep generative models, while revolutionizing fields like image and text generation, largely operate as opaque ``black boxes'', hindering human understanding, control, and alignment. While methods like sparse autoencoders (SAEs) show remarkable empirical success, they often lack theoretical guarantees, risking subjective insights. Our primary objective is to establish a principled foundation for interpretable generative models. We demonstrate that the principle of causal minimality -- favoring the simplest causal explanation -- can endow the latent representations of modern generative models with clear causal interpretation and robust, component-wise identifiable control. We introduce a novel theoretical framework for hierarchical selection models, where higher-level concepts emerge from the constrained composition of lower-level variables, better capturing the complex dependencies in data generation. Under theoretically derived minimality conditions, we show that learned representations can be equivalent to the true latent variables of the data-generating process. Empirically, applying these constraints to leading text-to-image diffusion models allows us to extract their innate hierarchical concept graphs, offering fresh insights into their internal knowledge organization. Furthermore, these causally grounded concepts serve as levers for fine-grained model steering, paving the way for transparent, reliable systems.
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id arxiv_https___arxiv_org_abs_2512_10720
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publishDate 2025
record_format arxiv
spellingShingle Beyond the Black Box: Identifiable Interpretation and Control in Generative Models via Causal Minimality
Kong, Lingjing
Xie, Shaoan
Chen, Guangyi
Sun, Yuewen
Song, Xiangchen
Xing, Eric P.
Zhang, Kun
Machine Learning
Deep generative models, while revolutionizing fields like image and text generation, largely operate as opaque ``black boxes'', hindering human understanding, control, and alignment. While methods like sparse autoencoders (SAEs) show remarkable empirical success, they often lack theoretical guarantees, risking subjective insights. Our primary objective is to establish a principled foundation for interpretable generative models. We demonstrate that the principle of causal minimality -- favoring the simplest causal explanation -- can endow the latent representations of modern generative models with clear causal interpretation and robust, component-wise identifiable control. We introduce a novel theoretical framework for hierarchical selection models, where higher-level concepts emerge from the constrained composition of lower-level variables, better capturing the complex dependencies in data generation. Under theoretically derived minimality conditions, we show that learned representations can be equivalent to the true latent variables of the data-generating process. Empirically, applying these constraints to leading text-to-image diffusion models allows us to extract their innate hierarchical concept graphs, offering fresh insights into their internal knowledge organization. Furthermore, these causally grounded concepts serve as levers for fine-grained model steering, paving the way for transparent, reliable systems.
title Beyond the Black Box: Identifiable Interpretation and Control in Generative Models via Causal Minimality
topic Machine Learning
url https://arxiv.org/abs/2512.10720