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Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find…

Statistics Theory · Mathematics 2016-08-30 Ji Xu , Daniel Hsu , Arian Maleki

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

Over the past few years, there has been an increasing interest to interpret gaze direction in an unconstrained environment with limited supervision. Owing to data curation and annotation issues, replicating gaze estimation method to other…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Shreya Ghosh , Abhinav Dhall , Jarrod Knibbe , Munawar Hayat

Training deep generative models with maximum likelihood remains a challenge. The typical workaround is to use variational inference (VI) and maximize a lower bound to the log marginal likelihood of the data. Variational auto-encoders (VAEs)…

Machine Learning · Statistics 2019-08-13 Adji B. Dieng , John Paisley

Automatic eye gaze estimation has interested researchers for a while now. In this paper, we propose an unsupervised learning based method for estimating the eye gaze region. To train the proposed network "Ize-Net" in self-supervised manner,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Neeru Dubey , Shreya Ghosh , Abhinav Dhall

Human gaze provides valuable information on human focus and intentions, making it a crucial area of research. Recently, deep learning has revolutionized appearance-based gaze estimation. However, due to the unique features of gaze…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Yihua Cheng , Haofei Wang , Yiwei Bao , Feng Lu

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

Automatic eye gaze estimation is an important problem in vision based assistive technology with use cases in different emerging topics such as augmented reality, virtual reality and human-computer interaction. Over the past few years, there…

Computer Vision and Pattern Recognition · Computer Science 2022-08-08 Neeru Dubey , Shreya Ghosh , Abhinav Dhall

Gaze estimation is of great importance to many scientific fields and daily applications, ranging from fundamental research in cognitive psychology to attention-aware mobile systems. While recent advancements in deep learning have yielded…

Computer Vision and Pattern Recognition · Computer Science 2022-09-15 Lingyu Du , Guohao Lan

Although recent gaze estimation methods lay great emphasis on attentively extracting gaze-relevant features from facial or eye images, how to define features that include gaze-relevant components has been ambiguous. This obscurity makes the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Isack Lee , Jun-Seok Yun , Hee Hyeon Kim , Youngju Na , Seok Bong Yoo

Integrating model-based machine learning methods into deep neural architectures allows one to leverage both the expressive power of deep neural nets and the ability of model-based methods to incorporate domain-specific knowledge. In…

Machine Learning · Computer Science 2020-12-10 Chonghyuk Song , Eunseok Kim , Inwook Shim

The expectation--maximization (EM) algorithm combines global monotonicity, local linear convergence, and strong practical robustness, but these features are usually analyzed separately. Global descent is nonlinear, whereas local convergence…

Machine Learning · Statistics 2026-05-11 Qiao Wang

Overparametrized Deep Neural Networks (DNNs) often achieve astounding performances, but may potentially result in severe generalization error. Recently, the relation between the sharpness of the loss landscape and the generalization error…

Artificial Intelligence · Computer Science 2022-05-31 Jiawei Du , Hanshu Yan , Jiashi Feng , Joey Tianyi Zhou , Liangli Zhen , Rick Siow Mong Goh , Vincent Y. F. Tan

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They are subject of a growing investigation in the context of…

Machine Learning · Statistics 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen

Discrepancies in decision-making between Autonomous Driving Systems (ADS) and human drivers underscore the need for intuitive human gaze predictors to bridge this gap, thereby improving user trust and experience. Existing gaze datasets,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Linfeng Liang , Yao Deng , Yang Zhang , Jianchao Lu , Chen Wang , Quanzheng Sheng , Xi Zheng

Using lightweight models as backbone networks in gaze estimation tasks often results in significant performance degradation. The main reason is that the number of feature channels in lightweight networks is usually small, which makes the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Zhang Cheng , Yanxia Wang

We develop in this paper a framework of empirical gain maximization (EGM) to address the robust regression problem where heavy-tailed noise or outliers may present in the response variable. The idea of EGM is to approximate the density…

Machine Learning · Computer Science 2021-01-13 Yunlong Feng , Qiang Wu

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

Human eye gaze estimation is an important cognitive ingredient for successful human-robot interaction, enabling the robot to read and predict human behavior. We approach this problem using artificial neural networks and build a modular…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Dmytro Herashchenko , Igor Farkaš

The increased availability and accuracy of eye-gaze tracking technology has sparked attention-related research in psychology, neuroscience, and, more recently, computer vision and artificial intelligence. The attention mechanism in…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Hongzhi Zhu , Septimiu Salcudean , Robert Rohling