Efficient Discovery of Approximate Causal Abstractions via Neural Mechanism Sparsification

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1. Verfasser: Asiaee, Amir
Format: Preprint
Veröffentlicht: 2026
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author Asiaee, Amir
author_facet Asiaee, Amir
contents Neural networks are hypothesized to implement interpretable causal mechanisms, yet verifying this requires finding a causal abstraction -- a simpler, high-level Structural Causal Model (SCM) faithful to the network under interventions. Discovering such abstractions is hard: it typically demands brute-force interchange interventions or retraining. We reframe the problem by viewing structured pruning as a search over approximate abstractions. Treating a trained network as a deterministic SCM, we derive an Interventional Risk objective whose second-order expansion yields closed-form criteria for replacing units with constants or folding them into neighbors. Under uniform curvature, our score reduces to activation variance, recovering variance-based pruning as a special case while clarifying when it fails. The resulting procedure efficiently extracts sparse, intervention-faithful abstractions from pretrained networks, which we validate via interchange interventions.
format Preprint
id arxiv_https___arxiv_org_abs_2602_24266
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Efficient Discovery of Approximate Causal Abstractions via Neural Mechanism Sparsification
Asiaee, Amir
Machine Learning
Artificial Intelligence
Neural networks are hypothesized to implement interpretable causal mechanisms, yet verifying this requires finding a causal abstraction -- a simpler, high-level Structural Causal Model (SCM) faithful to the network under interventions. Discovering such abstractions is hard: it typically demands brute-force interchange interventions or retraining. We reframe the problem by viewing structured pruning as a search over approximate abstractions. Treating a trained network as a deterministic SCM, we derive an Interventional Risk objective whose second-order expansion yields closed-form criteria for replacing units with constants or folding them into neighbors. Under uniform curvature, our score reduces to activation variance, recovering variance-based pruning as a special case while clarifying when it fails. The resulting procedure efficiently extracts sparse, intervention-faithful abstractions from pretrained networks, which we validate via interchange interventions.
title Efficient Discovery of Approximate Causal Abstractions via Neural Mechanism Sparsification
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2602.24266