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We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

Machine Learning · Computer Science 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Recent progress in image generation has sparked research into controlling these models through condition signals, with various methods addressing specific challenges in conditional generation. Instead of proposing another specialized…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Xirui Li , Charles Herrmann , Kelvin C. K. Chan , Yinxiao Li , Deqing Sun , Chao Ma , Ming-Hsuan Yang

Diffusion models have become popular for policy learning in robotics due to their ability to capture high-dimensional and multimodal distributions. However, diffusion policies are stochastic and typically trained offline, limiting their…

Robotics · Computer Science 2025-05-28 Ralf Römer , Alexander von Rohr , Angela P. Schoellig

Recent advances in latent diffusion models have enabled exciting progress in image style transfer. However, several key issues remain. For example, existing methods still struggle to accurately match styles. They are often limited in the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Dan Ruta , Abdelaziz Djelouah , Raphael Ortiz , Christopher Schroers

We study the problem of symbolic music generation (e.g., generating piano rolls), with a technical focus on non-differentiable rule guidance. Musical rules are often expressed in symbolic form on note characteristics, such as note density…

Diffusion models generate structure by progressively transforming noise into data, yet the mechanisms underlying this transition remain poorly understood. In this work, we show that pattern formation in trained diffusion models can be…

Machine Learning · Computer Science 2026-04-29 Luca Ambrogioni

Applying pre-trained generative denoising diffusion models (DDMs) for downstream tasks such as image semantic editing usually requires either fine-tuning DDMs or learning auxiliary editing networks in the existing literature. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-19 Ye Zhu , Yu Wu , Zhiwei Deng , Olga Russakovsky , Yan Yan

Diffusion models have recently been shown to be relevant for high-quality speech generation. Most work has been focused on generating spectrograms, and as such, they further require a subsequent model to convert the spectrogram to a…

Sound · Computer Science 2024-03-12 Roi Benita , Michael Elad , Joseph Keshet

Discrete diffusion models have emerged as a powerful class of models and a promising route to fast language generation, but practical implementations typically rely on factored reverse transitions ignoring cross-token dependencies and…

Machine Learning · Computer Science 2026-05-14 Dario Shariatian , Alain Durmus , Umut Simsekli , Stefano Peluchetti

Despite significant advances in deep models for music generation, the use of these techniques remains restricted to expert users. Before being democratized among musicians, generative models must first provide expressive control over the…

Sound · Computer Science 2023-02-28 Ninon Devis , Nils Demerlé , Sarah Nabi , David Genova , Philippe Esling

The recent surge in the popularity of diffusion models for image synthesis has attracted new attention to their potential for generation tasks in other domains. However, their applications to symbolic music generation remain largely…

Sound · Computer Science 2025-05-07 Jincheng Zhang , György Fazekas , Charalampos Saitis

Diffusion models (DMs) have achieved state-of-the-art results for image synthesis tasks as well as density estimation. Applied in the latent space of a powerful pretrained autoencoder (LDM), their immense computational requirements can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Jeremias Traub

Songs, as a central form of musical art, exemplify the richness of human intelligence and creativity. While recent advances in generative modeling have enabled notable progress in long-form song generation, current systems for full-length…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-25 Huakang Chen , Yuepeng Jiang , Guobin Ma , Chunbo Hao , Shuai Wang , Jixun Yao , Ziqian Ning , Meng Meng , Jian Luan , Lei Xie

Autoregressive (AR) models have long dominated the landscape of large language models, driving progress across a wide range of tasks. Recently, diffusion-based language models have emerged as a promising alternative, though their advantages…

Machine Learning · Computer Science 2025-10-28 Mihir Prabhudesai , Mengning Wu , Amir Zadeh , Katerina Fragkiadaki , Deepak Pathak

Diffusion-based Deep Generative Models (DDGMs) offer state-of-the-art performance in generative modeling. Their main strength comes from their unique setup in which a model (the backward diffusion process) is trained to reverse the forward…

Machine Learning · Computer Science 2022-06-02 Kamil Deja , Anna Kuzina , Tomasz Trzciński , Jakub M. Tomczak

Controllable text generation is a challenging and meaningful field in natural language generation (NLG). Especially, poetry generation is a typical one with well-defined and strict conditions for text generation which is an ideal playground…

Computation and Language · Computer Science 2023-12-20 Zhiyuan Hu , Chumin Liu , Yue Feng , Anh Tuan Luu , Bryan Hooi

We study a discrete denoising diffusion framework that integrates a sample-efficient estimator of single-site conditionals with round-robin noising and denoising dynamics for generative modeling over discrete state spaces. Rather than…

Machine Learning · Computer Science 2026-03-02 Karthik Elamvazhuthi , Abhijith Jayakumar , Andrey Y. Lokhov

Discrete diffusion models have recently become competitive with autoregressive models for language modeling, even outperforming them on reasoning tasks requiring planning and global coherence, but they require more computation at inference…

Machine Learning · Computer Science 2026-02-04 Andre He , Sean Welleck , Daniel Fried

Diffusion models arise as a powerful generative tool recently. Despite the great progress, existing diffusion models mainly focus on uni-modal control, i.e., the diffusion process is driven by only one modality of condition. To further…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Ziqi Huang , Kelvin C. K. Chan , Yuming Jiang , Ziwei Liu

We are witnessing a revolution in conditional image synthesis with the recent success of large scale text-to-image generation methods. This success also opens up new opportunities in controlling the generation and editing process using…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Burak Can Biner , Farrin Marouf Sofian , Umur Berkay Karakaş , Duygu Ceylan , Erkut Erdem , Aykut Erdem