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Main Authors: Xiong, Bo, Staab, Steffen
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.08778
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author Xiong, Bo
Staab, Steffen
author_facet Xiong, Bo
Staab, Steffen
contents Pretrained masked language models (MLMs) have demonstrated an impressive capability to comprehend and encode conceptual knowledge, revealing a lattice structure among concepts. This raises a critical question: how does this conceptualization emerge from MLM pretraining? In this paper, we explore this problem from the perspective of Formal Concept Analysis (FCA), a mathematical framework that derives concept lattices from the observations of object-attribute relationships. We show that the MLM's objective implicitly learns a \emph{formal context} that describes objects, attributes, and their dependencies, which enables the reconstruction of a concept lattice through FCA. We propose a novel framework for concept lattice construction from pretrained MLMs and investigate the origin of the inductive biases of MLMs in lattice structure learning. Our framework differs from previous work because it does not rely on human-defined concepts and allows for discovering "latent" concepts that extend beyond human definitions. We create three datasets for evaluation, and the empirical results verify our hypothesis.
format Preprint
id arxiv_https___arxiv_org_abs_2504_08778
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From Tokens to Lattices: Emergent Lattice Structures in Language Models
Xiong, Bo
Staab, Steffen
Computation and Language
Artificial Intelligence
Pretrained masked language models (MLMs) have demonstrated an impressive capability to comprehend and encode conceptual knowledge, revealing a lattice structure among concepts. This raises a critical question: how does this conceptualization emerge from MLM pretraining? In this paper, we explore this problem from the perspective of Formal Concept Analysis (FCA), a mathematical framework that derives concept lattices from the observations of object-attribute relationships. We show that the MLM's objective implicitly learns a \emph{formal context} that describes objects, attributes, and their dependencies, which enables the reconstruction of a concept lattice through FCA. We propose a novel framework for concept lattice construction from pretrained MLMs and investigate the origin of the inductive biases of MLMs in lattice structure learning. Our framework differs from previous work because it does not rely on human-defined concepts and allows for discovering "latent" concepts that extend beyond human definitions. We create three datasets for evaluation, and the empirical results verify our hypothesis.
title From Tokens to Lattices: Emergent Lattice Structures in Language Models
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2504.08778