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We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

机器学习 · 统计学 2018-06-04 Reshad Hosseini , Suvrit Sra

Joint-embedding predictive architectures (JEPAs) have shown substantial promise in self-supervised representation learning, yet their application in generative modeling remains underexplored. Conversely, diffusion models have demonstrated…

机器学习 · 计算机科学 2025-02-05 Dengsheng Chen , Jie Hu , Xiaoming Wei , Enhua Wu

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

机器学习 · 统计学 2026-03-23 Xinyu Liu , Hai Zhang

Generative Adversarial Networks have become one of the most studied frameworks for unsupervised learning due to their intuitive formulation. They have also been shown to be capable of generating convincing examples in limited domains, such…

机器学习 · 计算机科学 2016-12-14 Daniel Jiwoong Im , He Ma , Chris Dongjoo Kim , Graham Taylor

Disentangled learning representations have promising utility in many applications, but they currently suffer from serious reliability issues. We present Gaussian Channel Autoencoder (GCAE), a method which achieves reliable disentanglement…

机器学习 · 计算机科学 2023-02-10 Eric Yeats , Frank Liu , Hai Li

Machine learning continues to grow in popularity due to its ability to learn increasingly complex tasks. However, for many supervised models, the shift in a data distribution or the appearance of a new event can result in a severe decrease…

机器学习 · 计算机科学 2021-10-19 Ryan King , Bobak Mortazavi

Graph autoencoders (GAEs) are powerful tools in representation learning for graph embedding. However, the performance of GAEs is very dependent on the quality of the graph structure, i.e., of the adjacency matrix. In other words, GAEs would…

机器学习 · 计算机科学 2021-03-24 Rui Zhang , Yunxing Zhang , Xuelong Li

Joint Embedding Architecture-based self-supervised learning methods have attributed the composition of data augmentations as a crucial factor for their strong representation learning capabilities. While regional dropout strategies have…

计算机视觉与模式识别 · 计算机科学 2023-09-08 Arjon Das , Xin Zhong

In order to alleviate data sparsity and overfitting problems in maximum likelihood estimation (MLE) for sequence prediction tasks, we propose the Generative Bridging Network (GBN), in which a novel bridge module is introduced to assist the…

人工智能 · 计算机科学 2018-12-03 Wenhu Chen , Guanlin Li , Shuo Ren , Shujie Liu , Zhirui Zhang , Mu Li , Ming Zhou

Image compression is a fundamental research field and many well-known compression standards have been developed for many decades. Recently, learned compression methods exhibit a fast development trend with promising results. However, there…

图像与视频处理 · 电气工程与系统科学 2020-03-31 Zhengxue Cheng , Heming Sun , Masaru Takeuchi , Jiro Katto

Despite the abundance of methods for variable selection and accommodating spatial structure in regression models, there is little precedent for incorporating spatial dependence in covariate inclusion probabilities for regionally varying…

统计方法学 · 统计学 2012-09-05 Kristian Lum

We derive an asymptotic expansion for the log likelihood of Gaussian mixture models (GMMs) with equal covariance matrices in the low signal-to-noise regime. The expansion reveals an intimate connection between two types of algorithms for…

统计理论 · 数学 2020-06-30 Anya Katsevich , Afonso Bandeira

Recent work in unsupervised learning has focused on efficient inference and learning in latent variables models. Training these models by maximizing the evidence (marginal likelihood) is typically intractable. Thus, a common approximation…

机器学习 · 计算机科学 2021-02-15 Linh Tran , Maja Pantic , Marc Peter Deisenroth

We present GROOVE, a semi-supervised multi-modal representation learning approach for high-content perturbation data where samples across modalities are weakly paired through shared perturbation labels but lack direct correspondence. Our…

We propose a training-free approach to improve sentence embeddings leveraging test-time compute by applying generative text models for data augmentation at inference time. Unlike conventional data augmentation that utilises synthetic…

计算与语言 · 计算机科学 2025-09-09 Manuel Frank , Haithem Afli

Gaze estimation methods commonly use facial appearances to predict the direction of a person gaze. However, previous studies show three major challenges with convolutional neural network (CNN)-based, transformer-based, and contrastive…

计算机视觉与模式识别 · 计算机科学 2026-05-04 Xinyuan Zhao , Yihang Wu , Ahmad Chaddad , Sarah A. Alkhodair , Reem Kateb

We propose a novel autoregressive modeling approach for speech synthesis, combining a variational autoencoder (VAE) with a multi-modal latent space and an autoregressive model that uses Gaussian Mixture Models (GMM) as the conditional…

机器学习 · 计算机科学 2025-02-14 Weiwei Lin , Chenghan He

Gaussian graphical models (GGMs) are probabilistic tools of choice for analyzing conditional dependencies between variables in complex systems. Finding changepoints in the structural evolution of a GGM is therefore essential to detecting…

机器学习 · 统计学 2016-05-03 Abhinav Maurya , Mark Cheung

By formulating the inverse problem of partial differential equations (PDEs) as a statistical inference problem, the Bayesian approach provides a general framework for quantifying uncertainties. In the inverse problem of PDEs, parameters are…

数值分析 · 数学 2026-02-10 Haoyu Lu , Junxiong Jia , Deyu Meng

With the representation learning capability of the deep learning models, deep embedded multi-view clustering (MVC) achieves impressive performance in many scenarios and has become increasingly popular in recent years. Although great…

机器学习 · 计算机科学 2022-05-10 Zongmo Huang , Yazhou Ren , Xiaorong Pu , Lifang He