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This article provides a mathematically rigorous introduction to denoising diffusion probabilistic models (DDPMs), sometimes also referred to as diffusion probabilistic models or diffusion models, for generative artificial intelligence. We…

Machine Learning · Computer Science 2024-12-03 Davide Gallon , Arnulf Jentzen , Philippe von Wurstemberger

Remote sensing semantic segmentation must address both what the ground objects are within an image and where they are located. Consequently, segmentation models must ensure not only the semantic correctness of large-scale patches…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Hao Wang , Keyan Hu , Xin Guo , Haifeng Li , Chao Tao

This study proposes a method for imbalanced data classification based on deep probabilistic graphical models (DPGMs) to solve the problem that traditional methods have insufficient learning ability for minority class samples. To address the…

Machine Learning · Computer Science 2025-04-09 Yujia Lou , Jie Liu , Yuan Sheng , Jiawei Wang , Yiwei Zhang , Yaokun Ren

Diffusion models have emerged as a popular family of deep generative models (DGMs). In the literature, it has been claimed that one class of diffusion models -- denoising diffusion probabilistic models (DDPMs) -- demonstrate superior image…

Image and Video Processing · Electrical Eng. & Systems 2023-09-20 Rucha Deshpande , Muzaffer Özbey , Hua Li , Mark A. Anastasio , Frank J. Brooks

This paper is concerned with a state-space approach to deep Gaussian process (DGP) regression. We construct the DGP by hierarchically putting transformed Gaussian process (GP) priors on the length scales and magnitudes of the next level of…

Machine Learning · Statistics 2021-09-24 Zheng Zhao , Muhammad Emzir , Simo Särkkä

To improve the ability of VAE to disentangle in the latent space, existing works mostly focus on enforcing independence among the learned latent factors. However, the ability of these models to disentangle often decreases as the complexity…

Machine Learning · Computer Science 2019-09-05 Prashnna Kumar Gyawali , Zhiyuan Li , Cameron Knight , Sandesh Ghimire , B. Milan Horacek , John Sapp , Linwei Wang

Automated design synthesis has the potential to revolutionize the modern engineering design process and improve access to highly optimized and customized products across countless industries. Successfully adapting generative Machine…

Machine Learning · Computer Science 2022-03-18 Lyle Regenwetter , Amin Heyrani Nobari , Faez Ahmed

Deep generative networks provide a powerful tool for modeling complex data in a wide range of applications. In inverse problems that use these networks as generative priors on data, one must often perform inference of the inputs of the…

Machine Learning · Computer Science 2017-06-21 Alyson K. Fletcher , Sundeep Rangan

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

Methodology · Statistics 2020-07-28 Rahi Kalantari , Mingyuan Zhou

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

Distributions over exchangeable matrices with infinitely many columns, such as the Indian buffet process, are useful in constructing nonparametric latent variable models. However, the distribution implied by such models over the number of…

Methodology · Statistics 2012-09-07 Sinead Williamson , Zoubin Ghahramani , Steven N. MacEachern , Eric P. Xing

Nonparametric Bayesian models are often based on the assumption that the objects being modeled are exchangeable. While appropriate in some applications (e.g., bag-of-words models for documents), exchangeability is sometimes assumed simply…

Machine Learning · Computer Science 2012-06-18 Kurt T. Miller , Thomas Griffiths , Michael I. Jordan

We develop a probabilistic framework for deep learning based on the Deep Rendering Mixture Model (DRMM), a new generative probabilistic model that explicitly capture variations in data due to latent task nuisance variables. We demonstrate…

Machine Learning · Statistics 2016-12-07 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

In this conceptual work, we present Deep Convolutional Gaussian Mixture Models (DCGMMs): a new formulation of deep hierarchical Gaussian Mixture Models (GMMs) that is particularly suitable for describing and generating images. Vanilla…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Alexander Gepperth , Benedikt Pfülb

Classification of large multivariate time series with strong class imbalance is an important task in real-world applications. Standard methods of class weights, oversampling, or parametric data augmentation do not always yield significant…

Machine Learning · Statistics 2021-10-15 Grace Deng , Cuize Han , Tommaso Dreossi , Clarence Lee , David S. Matteson

Deep generative models (DGMs) of images are now sufficiently mature that they produce nearly photorealistic samples and obtain scores similar to the data distribution on heuristics such as Frechet Inception Distance (FID). These results,…

Machine Learning · Computer Science 2019-10-29 Suman Ravuri , Oriol Vinyals

We propose the Binary Diffusion Probabilistic Model (BDPM), a generative framework specifically designed for data representations in binary form. Conventional denoising diffusion probabilistic models (DDPMs) assume continuous inputs, use…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Vitaliy Kinakh , Slava Voloshynovskiy

With the remarkable success of generative models like ChatGPT, Artificial Intelligence Generated Content (AIGC) is undergoing explosive development. Not limited to text and images, generative models can generate industrial time series data,…

Machine Learning · Computer Science 2025-02-18 Lei Ren , Haiteng Wang , Jinwang Li , Yang Tang , Chunhua Yang

We propose a nonparametric Bayesian factor regression model that accounts for uncertainty in the number of factors, and the relationship between factors. To accomplish this, we propose a sparse variant of the Indian Buffet Process and…

Machine Learning · Computer Science 2009-08-06 Piyush Rai , Hal Daumé

In this paper, we propose a non-parametric conditional factor regression (NCFR)model for domains with high-dimensional input and response. NCFR enhances linear regression in two ways: a) introducing low-dimensional latent factors leading to…

Machine Learning · Statistics 2013-07-03 Ava Bargi , Richard Yi Da Xu , Massimo Piccardi