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This handbook offers a unified perspective on diffusion models, encompassing diffusion probabilistic models, score-based generative models, consistency models, rectified flow, and related methods. By standardizing notations and aligning…

Machine Learning · Computer Science 2024-12-24 Zihan Ding , Chi Jin

Denoising diffusion probabilistic models (DDPM) are a class of generative models which have recently been shown to produce excellent samples. We show that with a few simple modifications, DDPMs can also achieve competitive log-likelihoods…

Machine Learning · Computer Science 2021-02-22 Alex Nichol , Prafulla Dhariwal

Understanding how well a deep generative model captures a distribution of high-dimensional data remains an important open challenge. It is especially difficult for certain model classes, such as Generative Adversarial Networks and Diffusion…

Machine Learning · Computer Science 2023-08-08 Suman Ravuri , Mélanie Rey , Shakir Mohamed , Marc Deisenroth

Flow-based generative models have demonstrated promising performance across a broad spectrum of data modalities (e.g., image and text). However, there are few works exploring their extension to unordered data (e.g., spatial point set),…

Machine Learning · Computer Science 2025-06-05 Yangming Li , Chaoyu Liu , Carola-Bibiane Schönlieb

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

Invertible flow-based generative models are an effective method for learning to generate samples, while allowing for tractable likelihood computation and inference. However, the invertibility requirement restricts models to have the same…

Machine Learning · Computer Science 2020-02-21 Abhishek Kumar , Ben Poole , Kevin Murphy

Generative AI models have revolutionized various fields by enabling the creation of realistic and diverse data samples. Among these models, diffusion models have emerged as a powerful approach for generating high-quality images, text, and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Gaurav Raut , Apoorv Singh

Deep generative models are able to suggest new organic molecules by generating strings, trees, and graphs representing their structure. While such models allow one to generate molecules with desirable properties, they give no guarantees…

Machine Learning · Computer Science 2019-12-05 John Bradshaw , Brooks Paige , Matt J. Kusner , Marwin H. S. Segler , José Miguel Hernández-Lobato

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

Machine Learning · Statistics 2018-06-19 Marco Lorenzi , Maurizio Filippone

Advances in deep generative and density models have shown impressive capacity to model complex probability density functions in lower-dimensional space. Also, applying such models to high-dimensional image data to model the PDF has shown…

Machine Learning · Computer Science 2019-11-13 John Just , Sambuddha Ghosal

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

Artificial Intelligence · Computer Science 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Learning probabilistic models that can estimate the density of a given set of samples, and generate samples from that density, is one of the fundamental challenges in unsupervised machine learning. We introduce a new generative model based…

Machine Learning · Computer Science 2020-06-11 Siavash A. Bigdeli , Geng Lin , Tiziano Portenier , L. Andrea Dunbar , Matthias Zwicker

Deep learning has emerged as a promising tool for precipitation downscaling. However, current models rely on likelihood-based loss functions to properly model the precipitation distribution, leading to spatially inconsistent projections…

Atmospheric and Oceanic Physics · Physics 2024-08-02 Jose González-Abad

A deep generative model such as a GAN learns to model a rich set of semantic and physical rules about the target distribution, but up to now, it has been obscure how such rules are encoded in the network, or how a rule could be changed. In…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 David Bau , Steven Liu , Tongzhou Wang , Jun-Yan Zhu , Antonio Torralba

Normalizing flows have emerged as an important family of deep neural networks for modelling complex probability distributions. In this note, we revisit their coupling and autoregressive transformation layers as probabilistic graphical…

Machine Learning · Computer Science 2020-06-05 Antoine Wehenkel , Gilles Louppe

We propose a new class of generative diffusion models, called functional diffusion. In contrast to previous work, functional diffusion works on samples that are represented by functions with a continuous domain. Functional diffusion can be…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Biao Zhang , Peter Wonka

Generative Diffusion Models (GDMs) have emerged as a transformative force in the realm of Generative Artificial Intelligence (GenAI), demonstrating their versatility and efficacy across various applications. The ability to model complex…

Networking and Internet Architecture · Computer Science 2024-05-09 Hongyang Du , Ruichen Zhang , Yinqiu Liu , Jiacheng Wang , Yijing Lin , Zonghang Li , Dusit Niyato , Jiawen Kang , Zehui Xiong , Shuguang Cui , Bo Ai , Haibo Zhou , Dong In Kim

Diffusion models represent a class of generative models that produce data by denoising a sample corrupted by white noise. Despite the success of diffusion models in computer vision, audio synthesis, and point cloud generation, so far they…

Statistical Mechanics · Physics 2025-01-17 Kanta Masuki , Yuto Ashida

We present an architecture which lets us train deep, directed generative models with many layers of latent variables. We include deterministic paths between all latent variables and the generated output, and provide a richer set of…

Machine Learning · Computer Science 2016-12-15 Philip Bachman

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao
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