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We derive a novel generative model from iterative Gaussian posterior inference. By treating the generated sample as an unknown variable, we can formulate the sampling process in the language of Bayesian probability. Our model uses a…

机器学习 · 计算机科学 2026-01-28 Marten Lienen , Marcel Kollovieh , Stephan Günnemann

Medical imaging applications are highly specialized in terms of human anatomy, pathology, and imaging domains. Therefore, annotated training datasets for training deep learning applications in medical imaging not only need to be highly…

计算机视觉与模式识别 · 计算机科学 2024-09-10 Arjun Krishna , Ge Wang , Klaus Mueller

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

统计方法学 · 统计学 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

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…

机器学习 · 计算机科学 2023-08-08 Suman Ravuri , Mélanie Rey , Shakir Mohamed , Marc Deisenroth

Dynamic structural equation modeling (DSEM) is widely used for analyzing intensive longitudinal data (ILD). Although many ILD have categorical (Bernoulli or binomially distributed) responses, currently available Metropolis-within-Gibbs…

统计计算 · 统计学 2026-04-01 Øystein Sørensen , Ethan M. McCormick

With the incredible results achieved from generative pre-trained transformers (GPT) and diffusion models, generative AI (GenAI) is envisioned to yield remarkable breakthroughs in various industrial and academic domains. In this paper, we…

信息论 · 计算机科学 2023-09-19 Mehdi Letafati , Samad Ali , Matti Latva-aho

Score estimation is the backbone of score-based generative models (SGMs), especially denoising diffusion probabilistic models (DDPMs). A key result in this area shows that with accurate score estimates, SGMs can efficiently generate samples…

机器学习 · 统计学 2025-04-08 Sinho Chewi , Alkis Kalavasis , Anay Mehrotra , Omar Montasser

LiDAR-based 3D detectors need large datasets for training, yet they struggle to generalize to novel domains. Domain Generalization (DG) aims to mitigate this by training detectors that are invariant to such domain shifts. Current DG…

计算机视觉与模式识别 · 计算机科学 2025-03-12 Dušan Malić , Christian Fruhwirth-Reisinger , Samuel Schulter , Horst Possegger

Although deep learning models have achieved state-of-the-art performance on a number of vision tasks, generalization over high dimensional multi-modal data, and reliable predictive uncertainty estimation are still active areas of research.…

机器学习 · 计算机科学 2020-12-10 Samarth Sinha , Homanga Bharadhwaj , Anirudh Goyal , Hugo Larochelle , Animesh Garg , Florian Shkurti

Meta-learning offers a principled framework leveraging \emph{task-invariant} priors from related tasks, with which \emph{task-specific} models can be fine-tuned on downstream tasks, even with limited data records. Gradient-based…

机器学习 · 计算机科学 2026-04-16 Yilang Zhang , Abraham Jaeger Mountain , Bingcong Li , Georgios B. Giannakis

Neural network based generative models with discriminative components are a powerful approach for semi-supervised learning. However, these techniques a) cannot account for model uncertainty in the estimation of the model's discriminative…

机器学习 · 统计学 2017-06-30 Jonathan Gordon , José Miguel Hernández-Lobato

Diffusion-based generative models have recently emerged as powerful solutions for high-quality synthesis in multiple domains. Leveraging the bidirectional Markov chains, diffusion probabilistic models generate samples by inferring the…

计算机视觉与模式识别 · 计算机科学 2023-03-29 Mengyi Zhao , Mengyuan Liu , Bin Ren , Shuling Dai , Nicu Sebe

Denoising Diffusion Probabilistic Models (DDPMs) represent a contemporary class of generative models with exceptional qualities in both synthesis and maximizing the data likelihood. These models work by traversing a forward Markov Chain…

机器学习 · 计算机科学 2024-09-16 Hang Li , Wei Jin , Geri Skenderi , Harry Shomer , Wenzhuo Tang , Wenqi Fan , Jiliang Tang

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

机器学习 · 统计学 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Chance constrained programming (CCP) is a powerful framework for addressing optimization problems under uncertainty. In this paper, we introduce a novel Gradient-Guided Diffusion-based Optimization framework, termed GGDOpt, which tackles…

最优化与控制 · 数学 2025-10-15 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

When simulating metabolite productions with genome-scale constraint-based metabolic models, gene deletion strategies are necessary to achieve growth-coupled production, which means cell growth and target metabolite production occur…

定量方法 · 定量生物学 2025-11-18 Ziwei Yang , Takeyuki Tamura

Stochastic simulation models effectively capture complex system dynamics but are often too slow for real-time decision-making. Traditional metamodeling techniques learn relationships between simulator inputs and a single output summary…

机器学习 · 计算机科学 2026-01-21 L. Jeff Hong , Yanxi Hou , Qingkai Zhang , Xiaowei Zhang

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

统计方法学 · 统计学 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

机器学习 · 计算机科学 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann