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Classifier-Free Guidance (CFG) has been widely used in text-to-image diffusion models, where the CFG scale is introduced to control the strength of text guidance on the whole image space. However, we argue that a global CFG scale results in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Dazhong Shen , Guanglu Song , Zeyue Xue , Fu-Yun Wang , Yu Liu

The diffusion model presents a powerful ability to capture the entire (conditional) data distribution. However, due to the lack of sufficient training and data to learn to cover low-probability areas, the model will be penalized for failing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Xingyu Zhou , Qifan Li , Xiaobin Hu , Hai Chen , Shuhang Gu

Stochastic gradient descent (SGD) is a foundational algorithm for large-scale statistical learning and stochastic optimization. However, statistical inference based on SGD iterates remains challenging when stochastic gradients have infinite…

Machine Learning · Statistics 2026-05-26 Jose Blanchet , Peter Glynn , Wenhao Yang

Denoising diffusion models (DDMs) have attracted attention for their exceptional generation quality and diversity. This success is largely attributed to the use of class- or text-conditional diffusion guidance methods, such as classifier…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Susung Hong , Gyuseong Lee , Wooseok Jang , Seungryong Kim

Diffusion models have emerged as powerful generative models for graph generation, yet their use for conditional graph generation remains a fundamental challenge. In particular, guiding diffusion models on graphs under arbitrary reward…

Machine Learning · Computer Science 2025-05-27 Victor M. Tenorio , Nicolas Zilberstein , Santiago Segarra , Antonio G. Marques

We introduce Policy Gradient Guidance (PGG), a simple extension of classifier-free guidance from diffusion models to classical policy gradient methods. PGG augments the policy gradient with an unconditional branch and interpolates…

Machine Learning · Computer Science 2025-10-03 Jianing Qi , Hao Tang , Zhigang Zhu

Classifier-Free Guidance (CFG) is a cornerstone of modern text-to-image models, yet its reliance on a semantically vacuous null prompt ($\varnothing$) generates a guidance signal prone to geometric entanglement. This is a key factor…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Shilong Han , Yuming Zhang , Hongxia Wang

Training deep neural network is a high dimensional and a highly non-convex optimization problem. Stochastic gradient descent (SGD) algorithm and it's variations are the current state-of-the-art solvers for this task. However, due to…

Machine Learning · Computer Science 2017-01-17 Xi He , Dheevatsa Mudigere , Mikhail Smelyanskiy , Martin Takáč

Diffusion-based posterior samplers use pretrained diffusion priors to sample from measurement- or reward-conditioned posteriors, and are widely used for inverse problems. Yet their theoretical behavior remains poorly understood: even with…

Machine Learning · Computer Science 2026-05-08 Matias G. Delgadino , Sebastien Motsch , Advait Parulekar , William Porteous , Sanjay Shakkottai

We study the Stochastic Gradient Descent (SGD) method in nonconvex optimization problems from the point of view of approximating diffusion processes. We prove rigorously that the diffusion process can approximate the SGD algorithm weakly…

Machine Learning · Statistics 2018-03-06 Wenqing Hu , Chris Junchi Li , Lei Li , Jian-Guo Liu

Guidance in image generation steers models towards higher-quality or more targeted outputs, typically achieved in Diffusion Models (DMs) via Classifier-free Guidance (CFG). However, recent Consistency Models (CMs), which offer fewer…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Chia-Hong Hsu , Shiu-hong Kao , Randall Balestriero

Diffusion models have emerged as a pivotal advancement in generative models, setting new standards to the quality of the generated instances. In the current paper we aim to underscore a discrepancy between conventional training methods and…

Machine Learning · Computer Science 2023-11-03 Niket Patel , Luis Salamanca , Luis Barba

We investigate the theoretical foundations of classifier-free guidance (CFG). CFG is the dominant method of conditional sampling for text-to-image diffusion models, yet unlike other aspects of diffusion, it remains on shaky theoretical…

Machine Learning · Computer Science 2024-08-26 Arwen Bradley , Preetum Nakkiran

The controllable generation of diffusion models aims to steer the model to generate samples that optimize some given objective functions. It is desirable for a variety of applications including image generation, molecule generation, and…

Machine Learning · Computer Science 2025-05-29 Owen Oertell , Shikun Sun , Yiding Chen , Jin Peng Zhou , Zhiyong Wang , Wen Sun

Although recent text-to-image (T2I) diffusion models excel at aligning generated images with textual prompts, controlling the visual style of the output remains a challenging task. In this work, we propose Style-Prompting Guidance (SPG), a…

Graphics · Computer Science 2025-08-18 Qian Liang , Zichong Chen , Yang Zhou , Hui Huang

Can a text-to-image diffusion model be used as a training objective for adapting a GAN generator to another domain? In this paper, we show that the classifier-free guidance can be leveraged as a critic and enable generators to distill…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Kunpeng Song , Ligong Han , Bingchen Liu , Dimitris Metaxas , Ahmed Elgammal

Stein variational gradient descent (SVGD) is a deterministic sampling algorithm that iteratively transports a set of particles to approximate given distributions, based on an efficient gradient-based update that guarantees to optimally…

Machine Learning · Statistics 2017-11-15 Qiang Liu

In this paper we analyze the behaviour of the stochastic gradient descent (SGD), a widely used method in supervised learning for optimizing neural network weights via a minimization of non-convex loss functions. Since the pioneering work of…

Machine Learning · Computer Science 2025-05-13 Davide Barbieri , Matteo Bonforte , Peio Ibarrondo

Classifier-Free Guidance (CFG) is a widely adopted technique in diffusion and flow-based generative models, enabling high-quality conditional generation. A key theoretical challenge is characterizing the distribution induced by CFG,…

Machine Learning · Computer Science 2025-05-23 Krunoslav Lehman Pavasovic , Jakob Verbeek , Giulio Biroli , Marc Mezard

In medical imaging, unsupervised out-of-distribution (OOD) detection offers an attractive approach for identifying pathological cases with extremely low incidence rates. In contrast to supervised methods, OOD-based approaches function…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Lemar Abdi , Francisco Caetano , Amaan Valiuddin , Christiaan Viviers , Hamdi Joudeh , Fons van der Sommen
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