Reparameterized LLM Training via Orthogonal Equivalence Transformation

Fuente: arXiv
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Autores principales: Qiu, Zeju, Buchholz, Simon, Xiao, Tim Z., Dax, Maximilian, Schölkopf, Bernhard, Liu, Weiyang
Formato: Preprint
Publicado: 2025
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author Qiu, Zeju
Buchholz, Simon
Xiao, Tim Z.
Dax, Maximilian
Schölkopf, Bernhard
Liu, Weiyang
author_facet Qiu, Zeju
Buchholz, Simon
Xiao, Tim Z.
Dax, Maximilian
Schölkopf, Bernhard
Liu, Weiyang
contents While large language models (LLMs) are driving the rapid advancement of artificial intelligence, effectively and reliably training these large models remains one of the field's most significant challenges. To address this challenge, we propose POET, a novel reParameterized training algorithm that uses Orthogonal Equivalence Transformation to optimize neurons. Specifically, POET reparameterizes each neuron with two learnable orthogonal matrices and a fixed random weight matrix. Because of its provable preservation of spectral properties of weight matrices, POET can stably optimize the objective function with improved generalization. We further develop efficient approximations that make POET flexible and scalable for training large-scale neural networks. Extensive experiments validate the effectiveness and scalability of POET in training LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08001
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Reparameterized LLM Training via Orthogonal Equivalence Transformation
Qiu, Zeju
Buchholz, Simon
Xiao, Tim Z.
Dax, Maximilian
Schölkopf, Bernhard
Liu, Weiyang
Machine Learning
Artificial Intelligence
Computation and Language
While large language models (LLMs) are driving the rapid advancement of artificial intelligence, effectively and reliably training these large models remains one of the field's most significant challenges. To address this challenge, we propose POET, a novel reParameterized training algorithm that uses Orthogonal Equivalence Transformation to optimize neurons. Specifically, POET reparameterizes each neuron with two learnable orthogonal matrices and a fixed random weight matrix. Because of its provable preservation of spectral properties of weight matrices, POET can stably optimize the objective function with improved generalization. We further develop efficient approximations that make POET flexible and scalable for training large-scale neural networks. Extensive experiments validate the effectiveness and scalability of POET in training LLMs.
title Reparameterized LLM Training via Orthogonal Equivalence Transformation
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2506.08001