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While the success of deep learning relies on large amounts of training datasets, data is often limited in privacy-sensitive domains. To address this challenge, generative model learning with differential privacy has emerged as a solution to…

Machine Learning · Computer Science 2024-08-28 Bochao Liu , Pengju Wang , Shiming Ge

This paper provides an elementary, self-contained analysis of diffusion-based sampling methods for generative modeling. In contrast to existing approaches that rely on continuous-time processes and then discretize, our treatment works…

Machine Learning · Statistics 2025-06-25 Galen Reeves , Henry D. Pfister

Diffusion models have emerged as a promising alternative to autoregressive models in modeling discrete categorical data. However, diffusion models that directly work on discrete data space fail to fully exploit the power of iterative…

Machine Learning · Computer Science 2025-10-24 Jaehyeong Jo , Sung Ju Hwang

Diffusion models (DMs) have revolutionized generative learning. They utilize a diffusion process to encode data into a simple Gaussian distribution. However, encoding a complex, potentially multimodal data distribution into a single…

Machine Learning · Computer Science 2024-07-04 Yilun Xu , Gabriele Corso , Tommi Jaakkola , Arash Vahdat , Karsten Kreis

We present DiffusionBERT, a new generative masked language model based on discrete diffusion models. Diffusion models and many pre-trained language models have a shared training objective, i.e., denoising, making it possible to combine the…

Computation and Language · Computer Science 2022-12-02 Zhengfu He , Tianxiang Sun , Kuanning Wang , Xuanjing Huang , Xipeng Qiu

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

Diffusion models offer appealing properties for language generation, such as parallel decoding and iterative refinement, but the discrete and highly structured nature of text challenges the direct application of diffusion principles. In…

Computation and Language · Computer Science 2025-12-30 Ziqi Jin , Bin Wang , Xiang Lin , Lidong Bing , Aixin Sun

This work studies discrete diffusion probabilistic models with applications to natural language generation. We derive an alternative yet equivalent formulation of the sampling from discrete diffusion processes and leverage this insight to…

Computation and Language · Computer Science 2024-08-05 Lin Zheng , Jianbo Yuan , Lei Yu , Lingpeng Kong

Diffusion models have attained prominence for their ability to synthesize a probability distribution for a given dataset via a diffusion process, enabling the generation of new data points with high fidelity. However, diffusion processes…

Machine Learning · Computer Science 2024-11-25 Shervin Khalafi , Dongsheng Ding , Alejandro Ribeiro

High-fidelity, high-resolution numerical simulations are crucial for studying complex multiscale phenomena in fluid dynamics, such as turbulent flows and ocean waves. However, direct numerical simulations with high-resolution solvers are…

Numerical Analysis · Mathematics 2025-04-14 Wuzhe Xu , Yulong Lu , Lian Shen , Anqing Xuan , Ali Barzegari

We challenge a fundamental assumption of diffusion models, namely, that a large number of latent-states or time-steps is required for training so that the reverse generative process is close to a Gaussian. We first show that with careful…

Machine Learning · Computer Science 2025-08-21 Samarth Gupta , Raghudeep Gadde , Rui Chen , Aleix M. Martinez

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Machine Learning · Computer Science 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

Knowledge distillation optimises a smaller student model to behave similarly to a larger teacher model, retaining some of the performance benefits. While this method can improve results on in-distribution examples, it does not necessarily…

Computation and Language · Computer Science 2024-07-26 Joe Stacey , Marek Rei

Diffusion trajectory distillation accelerates sampling by training a student model to approximate the multi-step denoising trajectories of a pretrained teacher model using far fewer steps. Despite strong empirical results, the trade-off…

Machine Learning · Computer Science 2026-04-28 Weiguo Gao , Ming Li

Diffusion distillation is a widely used technique to reduce the sampling cost of diffusion models, yet it often requires extensive training, and the student performance tends to be degraded. Recent studies show that incorporating a GAN…

Machine Learning · Computer Science 2025-06-12 Bowen Zheng , Tianming Yang

Class-conditional image generation using generative adversarial networks (GANs) has been investigated through various techniques; however, it continues to face challenges such as mode collapse, training instability, and low-quality output…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Taesun Yeom , Minhyeok Lee

Flow-based generative models achieve state-of-the-art sample quality, but require the expensive solution of a differential equation at inference time. Flow map models, commonly known as consistency models, encompass many recent efforts to…

Machine Learning · Computer Science 2025-10-07 Nicholas M. Boffi , Michael S. Albergo , Eric Vanden-Eijnden

Large foundation models trained on extensive datasets demonstrate strong zero-shot capabilities in various domains. To replicate their success when data and model size are constrained, knowledge distillation has become an established tool…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Niclas Popp , Kevin Alexander Laube , Matthias Hein , Lukas Schott

Self-supervised learning solves pretext prediction tasks that do not require annotations to learn feature representations. For vision tasks, pretext tasks such as predicting rotation, solving jigsaw are solely created from the input data.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Prashant Bhat , Elahe Arani , Bahram Zonooz

Text-to-3D generation has shown rapid progress in recent days with the advent of score distillation, a methodology of using pretrained text-to-2D diffusion models to optimize neural radiance field (NeRF) in the zero-shot setting. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Junyoung Seo , Wooseok Jang , Min-Seop Kwak , Hyeonsu Kim , Jaehoon Ko , Junho Kim , Jin-Hwa Kim , Jiyoung Lee , Seungryong Kim