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Main Authors: Zielnicki, Kevin, Hsiao, Ko-Jen
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.07574
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author Zielnicki, Kevin
Hsiao, Ko-Jen
author_facet Zielnicki, Kevin
Hsiao, Ko-Jen
contents The instability of embedding spaces across model retraining cycles presents significant challenges to downstream applications using user or item embeddings derived from recommendation systems as input features. This paper introduces a novel orthogonal low-rank transformation methodology designed to stabilize the user/item embedding space, ensuring consistent embedding dimensions across retraining sessions. Our approach leverages a combination of efficient low-rank singular value decomposition and orthogonal Procrustes transformation to map embeddings into a standardized space. This transformation is computationally efficient, lossless, and lightweight, preserving the dot product and inference quality while reducing operational burdens. Unlike existing methods that modify training objectives or embedding structures, our approach maintains the integrity of the primary model application and can be seamlessly integrated with other stabilization techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07574
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orthogonal Low Rank Embedding Stabilization
Zielnicki, Kevin
Hsiao, Ko-Jen
Information Retrieval
The instability of embedding spaces across model retraining cycles presents significant challenges to downstream applications using user or item embeddings derived from recommendation systems as input features. This paper introduces a novel orthogonal low-rank transformation methodology designed to stabilize the user/item embedding space, ensuring consistent embedding dimensions across retraining sessions. Our approach leverages a combination of efficient low-rank singular value decomposition and orthogonal Procrustes transformation to map embeddings into a standardized space. This transformation is computationally efficient, lossless, and lightweight, preserving the dot product and inference quality while reducing operational burdens. Unlike existing methods that modify training objectives or embedding structures, our approach maintains the integrity of the primary model application and can be seamlessly integrated with other stabilization techniques.
title Orthogonal Low Rank Embedding Stabilization
topic Information Retrieval
url https://arxiv.org/abs/2508.07574