Saved in:
Bibliographic Details
Main Authors: Li, Xiang, Jia, Yixuan, Li, Xiao, Fessler, Jeffrey A., Wang, Rongrong, Qu, Qing
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.22364
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911676686663680
author Li, Xiang
Jia, Yixuan
Li, Xiao
Fessler, Jeffrey A.
Wang, Rongrong
Qu, Qing
author_facet Li, Xiang
Jia, Yixuan
Li, Xiao
Fessler, Jeffrey A.
Wang, Rongrong
Qu, Qing
contents Diffusion models achieve strong performance in generative modeling, but their success often relies heavily on classifier-free guidance (CFG), an inference-time heuristic that modifies the sampling trajectory. In theory, diffusion models trained with standard denoising score matching (DSM) should recover the target data distribution, raising two fundamental questions: (i) why is inference-time guidance necessary in practice, and (ii) can its underlying effect be internalized into a principled training objective? In this work, we argue that a key limitation of standard DSM is insufficient inter-class separation. To address this issue, we propose MCLR, an alignment objective that explicitly maximizes inter-class likelihood-ratios during training. Fine-tuning diffusion models with MCLR induces CFG-like improvements under standard sampling, substantially improving guidance-free conditional generation and narrowing the gap to inference-time CFG. Beyond these empirical benefits, we show theoretically that the CFG-guided score is exactly the optimal solution to a sample-adaptive weighted MCLR objective. This result connects CFG to alignment-based objectives, providing a mechanistic interpretation of CFG as an implicit inference-time contrastive alignment procedure.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22364
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MCLR: Improving Conditional Modeling via Inter-Class Likelihood-Ratio Maximization and Unifying Classifier-Free Guidance with Alignment Objectives
Li, Xiang
Jia, Yixuan
Li, Xiao
Fessler, Jeffrey A.
Wang, Rongrong
Qu, Qing
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
Diffusion models achieve strong performance in generative modeling, but their success often relies heavily on classifier-free guidance (CFG), an inference-time heuristic that modifies the sampling trajectory. In theory, diffusion models trained with standard denoising score matching (DSM) should recover the target data distribution, raising two fundamental questions: (i) why is inference-time guidance necessary in practice, and (ii) can its underlying effect be internalized into a principled training objective? In this work, we argue that a key limitation of standard DSM is insufficient inter-class separation. To address this issue, we propose MCLR, an alignment objective that explicitly maximizes inter-class likelihood-ratios during training. Fine-tuning diffusion models with MCLR induces CFG-like improvements under standard sampling, substantially improving guidance-free conditional generation and narrowing the gap to inference-time CFG. Beyond these empirical benefits, we show theoretically that the CFG-guided score is exactly the optimal solution to a sample-adaptive weighted MCLR objective. This result connects CFG to alignment-based objectives, providing a mechanistic interpretation of CFG as an implicit inference-time contrastive alignment procedure.
title MCLR: Improving Conditional Modeling via Inter-Class Likelihood-Ratio Maximization and Unifying Classifier-Free Guidance with Alignment Objectives
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2603.22364