Publications›Data Science›Machine Learning
Research PaperResearchia:202610.30077

Training Foundation Models with a Single Algorithm

Yuda Song

Abstract

Foundation models are typically trained in stages: pretraining, midtraining, supervised fine-tuning (SFT), and reinforcement learning (RL), with changes in both data and learning algorithms. We show that this algorithmic separation is not fundamental. By deriving suitable RL objectives as maximum-likelihood fitting to model-generated target distributions, we place all of these stages under a single likelihood-based training algorithm, unified training. This perspective turns the foundation-model...

Submitted: October 30, 2026Subjects: Machine Learning; Data Science

Description / Details

Foundation models are typically trained in stages: pretraining, midtraining, supervised fine-tuning (SFT), and reinforcement learning (RL), with changes in both data and learning algorithms. We show that this algorithmic separation is not fundamental. By deriving suitable RL objectives as maximum-likelihood fitting to model-generated target distributions, we place all of these stages under a single likelihood-based training algorithm, unified training. This perspective turns the foundation-model training lifecycle into a problem of choosing which data to train on, in what proportions, and when, with conventional staged training as a special case. We instantiate this framework in a unified training system that mixes static data and RL generations within a single trainer. Across controlled and real-world experiments, unified training improves the accuracy-compute tradeoff and task coverage while preserving broader capabilities, and provides a stronger starting point for continual learning. This work lays the groundwork for a unified science of foundation-model training, connecting mathematical principles, training infrastructure, and the development of model capabilities.


Source: arXiv:2610.40564v1 - http://arxiv.org/abs/2610.40564v1 PDF: https://arxiv.org/pdf/2610.40564v1 Original Link: http://arxiv.org/abs/2610.40564v1

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Submission Info
Date:
Oct 30, 2026
Topic:
Data Science
Area:
Machine Learning
Comments:
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