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Main Authors: Tian, Bowei, He, Yexiao, Ye, Wanghao, Wang, Ziyao, Liu, Meng, Li, Ang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.03265
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author Tian, Bowei
He, Yexiao
Ye, Wanghao
Wang, Ziyao
Liu, Meng
Li, Ang
author_facet Tian, Bowei
He, Yexiao
Ye, Wanghao
Wang, Ziyao
Liu, Meng
Li, Ang
contents Large-scale foundation models demonstrate strong performance across language, vision, and reasoning tasks. However, how they internally structure and stabilize concepts remains elusive. Inspired by causal inference, we introduce the MindCraft framework built upon Concept Trees. By applying spectral decomposition at each layer and linking principal directions into branching Concept Paths, Concept Trees reconstruct the hierarchical emergence of concepts, revealing exactly when they diverge from shared representations into linearly separable subspaces. Empirical evaluations across diverse scenarios across disciplines, including medical diagnosis, physics reasoning, and political decision-making, show that Concept Trees recover semantic hierarchies, disentangle latent concepts, and can be widely applied across multiple domains. The Concept Tree establishes a widely applicable and powerful framework that enables in-depth analysis of conceptual representations in deep models, marking a significant step forward in the foundation of interpretable AI.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03265
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle MindCraft: How Concept Trees Take Shape In Deep Models
Tian, Bowei
He, Yexiao
Ye, Wanghao
Wang, Ziyao
Liu, Meng
Li, Ang
Machine Learning
Artificial Intelligence
Large-scale foundation models demonstrate strong performance across language, vision, and reasoning tasks. However, how they internally structure and stabilize concepts remains elusive. Inspired by causal inference, we introduce the MindCraft framework built upon Concept Trees. By applying spectral decomposition at each layer and linking principal directions into branching Concept Paths, Concept Trees reconstruct the hierarchical emergence of concepts, revealing exactly when they diverge from shared representations into linearly separable subspaces. Empirical evaluations across diverse scenarios across disciplines, including medical diagnosis, physics reasoning, and political decision-making, show that Concept Trees recover semantic hierarchies, disentangle latent concepts, and can be widely applied across multiple domains. The Concept Tree establishes a widely applicable and powerful framework that enables in-depth analysis of conceptual representations in deep models, marking a significant step forward in the foundation of interpretable AI.
title MindCraft: How Concept Trees Take Shape In Deep Models
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2510.03265