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Main Author: Jin, Jidong
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.15871
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author Jin, Jidong
author_facet Jin, Jidong
contents Inference in large-scale AI models is typically performed on dense parameter matrices, leading to inference cost and system complexity that scale unsustainably with model size. This limitation does not arise from insufficient model capacity, but from treating post-training inference systems as monolithic operators while ignoring internal structures formed during learning. We show that gradient update events in large models are highly localized and selective, leaving many parameter dependencies statistically indistinguishable from their initialization distribution after training. As a result, post-training inference systems are structurally non-uniform and inherently decomposable. Based on this observation, we introduce a post-training statistical criterion and a structural annealing procedure that removes unsupported dependencies and reveals stable, independent substructures. This work establishes a post-training, model-agnostic structural view of inference systems and enables structured, parallel inference without modifying model functionality or interfaces.
format Preprint
id arxiv_https___arxiv_org_abs_2601_15871
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Why Inference in Large Models Becomes Decomposable After Training
Jin, Jidong
Machine Learning
Artificial Intelligence
Inference in large-scale AI models is typically performed on dense parameter matrices, leading to inference cost and system complexity that scale unsustainably with model size. This limitation does not arise from insufficient model capacity, but from treating post-training inference systems as monolithic operators while ignoring internal structures formed during learning. We show that gradient update events in large models are highly localized and selective, leaving many parameter dependencies statistically indistinguishable from their initialization distribution after training. As a result, post-training inference systems are structurally non-uniform and inherently decomposable. Based on this observation, we introduce a post-training statistical criterion and a structural annealing procedure that removes unsupported dependencies and reveals stable, independent substructures. This work establishes a post-training, model-agnostic structural view of inference systems and enables structured, parallel inference without modifying model functionality or interfaces.
title Why Inference in Large Models Becomes Decomposable After Training
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.15871