mini-vec2vec: Scaling Universal Geometry Alignment with Linear Transformations

Fuente: arXiv
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Auteur principal: Dar, Guy
Format: Preprint
Publié: 2025
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author Dar, Guy
author_facet Dar, Guy
contents We build upon vec2vec, a procedure designed to align text embedding spaces without parallel data. vec2vec finds a near-perfect alignment, but it is expensive and unstable. We present mini-vec2vec, a simple and efficient alternative that requires substantially lower computational cost and is highly robust. Moreover, the learned mapping is a linear transformation. Our method consists of three main stages: a tentative matching of pseudo-parallel embedding vectors, transformation fitting, and iterative refinement. Our linear alternative exceeds the original instantiation of vec2vec by orders of magnitude in efficiency, while matching or exceeding their results. The method's stability and interpretable algorithmic steps facilitate scaling and unlock new opportunities for adoption in new domains and fields.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02348
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle mini-vec2vec: Scaling Universal Geometry Alignment with Linear Transformations
Dar, Guy
Computation and Language
Artificial Intelligence
Machine Learning
We build upon vec2vec, a procedure designed to align text embedding spaces without parallel data. vec2vec finds a near-perfect alignment, but it is expensive and unstable. We present mini-vec2vec, a simple and efficient alternative that requires substantially lower computational cost and is highly robust. Moreover, the learned mapping is a linear transformation. Our method consists of three main stages: a tentative matching of pseudo-parallel embedding vectors, transformation fitting, and iterative refinement. Our linear alternative exceeds the original instantiation of vec2vec by orders of magnitude in efficiency, while matching or exceeding their results. The method's stability and interpretable algorithmic steps facilitate scaling and unlock new opportunities for adoption in new domains and fields.
title mini-vec2vec: Scaling Universal Geometry Alignment with Linear Transformations
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2510.02348