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A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

机器学习 · 计算机科学 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

统计计算 · 统计学 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas

This paper addresses the problem of unsupervised clustering which remains one of the most fundamental challenges in machine learning and artificial intelligence. We propose the clustered generator model for clustering which contains both…

机器学习 · 统计学 2019-11-20 Dandan Zhu , Tian Han , Linqi Zhou , Xiaokang Yang , Ying Nian Wu

A prominent family of methods for learning data distributions relies on density ratio estimation (DRE), where a model is trained to $\textit{classify}$ between data samples and samples from some reference distribution. DRE-based models can…

机器学习 · 计算机科学 2024-11-01 Shahar Yadin , Noam Elata , Tomer Michaeli

Diffusion generative models are currently the most popular generative models. However, their underlying modeling process is quite complex, and starting directly with the seminal paper Denoising Diffusion Probability Model (DDPM) can be…

计算机视觉与模式识别 · 计算机科学 2024-12-19 Wang Zhen , Dong Yunyun

Based on the Denoising Diffusion Probabilistic Model (DDPM), medical image segmentation can be described as a conditional image generation task, which allows to compute pixel-wise uncertainty maps of the segmentation and allows an implicit…

图像与视频处理 · 电气工程与系统科学 2022-11-01 Xutao Guo , Yanwu Yang , Chenfei Ye , Shang Lu , Yang Xiang , Ting Ma

Expectation Maximization (EM) is the standard method to learn Gaussian mixtures. Yet its classic, centralized form is often infeasible, due to privacy concerns and computational and communication bottlenecks. Prior work dealt with data…

机器学习 · 计算机科学 2022-01-26 Pedro Valdeira , Cláudia Soares , João Xavier

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

The denoising diffusion probabilistic model (DDPM) has emerged as a mainstream generative model in generative AI. While sharp convergence guarantees have been established for the DDPM, the iteration complexity is, in general, proportional…

机器学习 · 计算机科学 2026-02-17 Zhihan Huang , Yuting Wei , Yuxin Chen

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

While Variational Inference (VI) is central to modern generative models like Variational Autoencoders (VAEs) and Denoising Diffusion Models (DDMs), its pedagogical treatment is split across disciplines. In statistics, VI is typically framed…

机器学习 · 统计学 2025-10-22 Yen-Chi Chen

High-dimensional data clustering has become and remains a challenging task for modern statistics and machine learning, with a wide range of applications. We consider in this work the powerful discriminative latent mixture model, and we…

统计方法学 · 统计学 2020-12-09 Nicolas Jouvin , Charles Bouveyron , Pierre Latouche

Clustering high-dimensional data, such as images or biological measurements, is a long-standingproblem and has been studied extensively. Recently, Deep Clustering has gained popularity due toits flexibility in fitting the specific…

机器学习 · 计算机科学 2020-12-21 Andreas Kopf , Vincent Fortuin , Vignesh Ram Somnath , Manfred Claassen

We consider the semi-supervised clustering problem where crowdsourcing provides noisy information about the pairwise comparisons on a small subset of data, i.e., whether a sample pair is in the same cluster. We propose a new approach that…

机器学习 · 统计学 2018-10-30 Yucen Luo , Tian Tian , Jiaxin Shi , Jun Zhu , Bo Zhang

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

机器学习 · 统计学 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

Diffusion Probabilistic Models (DPMs) are generative models showing competitive performance in various domains, including image synthesis and 3D point cloud generation. Sampling from pre-trained DPMs involves multiple neural function…

机器学习 · 计算机科学 2025-05-21 Vinh Tong , Hoang Trung-Dung , Anji Liu , Guy Van den Broeck , Mathias Niepert

The parsimonious Gaussian mixture models, which exploit an eigenvalue decomposition of the group covariance matrices of the Gaussian mixture, have shown their success in particular in cluster analysis. Their estimation is in general…

机器学习 · 统计学 2018-10-18 Faicel Chamroukhi , Marius Bartcus , Hervé Glotin

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…

计算机视觉与模式识别 · 计算机科学 2025-10-01 Vitaliy Kinakh , Slava Voloshynovskiy

The dissimilarity mixture autoencoder (DMAE) is a neural network model for feature-based clustering that incorporates a flexible dissimilarity function and can be integrated into any kind of deep learning architecture. It internally…

机器学习 · 计算机科学 2021-07-16 Juan S. Lara , Fabio A. González

The traffic matrix estimation (TME) problem has been widely researched for decades of years. Recent progresses in deep generative models offer new opportunities to tackle TME problems in a more advanced way. In this paper, we leverage the…

机器学习 · 计算机科学 2024-10-22 Xinyu Yuan , Yan Qiao , Pei Zhao , Rongyao Hu , Benchu Zhang