Moose: Latent concept learning with reasoning-shortcut awareness in $\mathcal{EL}^{++}$
- URL: http://arxiv.org/abs/2608.12961v1
- Date: Thu, 13 Aug 2026 08:44:48 GMT
- Title: Moose: Latent concept learning with reasoning-shortcut awareness in $\mathcal{EL}^{++}$
- Abstract summary: We present Moose, a method that compiles an $mathcalEL$ TBox and finite ABox to a Sentential Decision Diagram (SDD)<n>We show first formal partial-supervision latent-concept over an OWL EL, i.e., learning per-individuals for latent concepts from observed ABox literals, and evaluate Moose on M-with-ontology and Pizzaolo.
- Score: 40.07805055659496
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The OWL 2 EL profile is used in some of the largest production ontologies, including the Gene Ontology and SNOMED CT. Existing neuro-symbolic (NeSy) learning methods accept propositional theories or Datalog, and reasoning-shortcut (RS) awareness has not been investigated in ontology settings. We present Moose, a method that compiles an $\mathcal{EL}^{++}$ TBox and finite ABox to a Sentential Decision Diagram (SDD). The SDD acts as a differentiable weighted-model-counting layer, and we add closure clauses outside the $\mathcal{EL}^{++}$ profile on declared exhaustive families to overcome the limited expressivity of $\mathcal{EL}^{++}$ under partial supervision. We show termination, soundness, completeness, and polynomial intermediate sizes, and validate the proofs in Lean. We then define the first formal partial-supervision latent-concept-learning task over an OWL EL ontology, i.e., learning per-individual classifiers for latent concepts from observed ABox literals, and evaluate Moose on MNIST-with-ontology and Pizzaïolo. Moose improves over propositional-NeSy, fuzzy-logic, and ontology embedding baselines, and presents the first reasoning-shortcut analysis in an OWL EL setting.
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