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We investigate a Gaussian mixture model (GMM) with component means constrained in a pre-selected subspace. Applications to classification and clustering are explored. An EM-type estimation algorithm is derived. We prove that the subspace…

机器学习 · 统计学 2015-08-27 Mu Qiao , Jia Li

Batch normalization (BN) has become a standard technique for training the modern deep networks. However, its effectiveness diminishes when the batch size becomes smaller, since the batch statistics estimation becomes inaccurate. That…

计算机视觉与模式识别 · 计算机科学 2020-03-13 Chunjie Luo , Jianfeng Zhan , Lei Wang , Wanling Gao

Recently, Expectation-maximization (EM) algorithm has been introduced as an effective means to solve multi-view registration problem. Most of the previous methods assume that each data point is drawn from the Gaussian Mixture Model (GMM),…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Yanlin Ma , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

Low-shot image classification is a fundamental task in computer vision, and the emergence of large-scale vision-language models such as CLIP has greatly advanced the forefront of research in this field. However, most existing CLIP-based…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Yibo Miao , Yu Lei , Feng Zhou , Zhijie Deng

Learning discriminative image representations plays a vital role in long-tailed image classification because it can ease the classifier learning in imbalanced cases. Given the promising performance contrastive learning has shown recently in…

计算机视觉与模式识别 · 计算机科学 2021-03-29 Peng Wang , Kai Han , Xiu-Shen Wei , Lei Zhang , Lei Wang

Long-tail learning has garnered widespread attention and achieved significant progress in recent times. However, even with pre-trained prior knowledge, models still exhibit weaker generalization performance on tail classes. The promising…

计算机视觉与模式识别 · 计算机科学 2024-10-29 Mengke Li , Ye Liu , Yang Lu , Yiqun Zhang , Yiu-ming Cheung , Hui Huang

In crowd counting, each training image contains multiple people, where each person is annotated by a dot. Existing crowd counting methods need to use a Gaussian to smooth each annotated dot or to estimate the likelihood of every pixel given…

计算机视觉与模式识别 · 计算机科学 2020-10-27 Boyu Wang , Huidong Liu , Dimitris Samaras , Minh Hoai

In this article, a new method, called FWP, is proposed for clustering longitudinal curves. In the proposed method, clusters of mean functions are identified through a weighted concave pairwise fusion method. The EM algorithm and the…

统计方法学 · 统计学 2023-06-14 Xin Wang

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…

机器学习 · 统计学 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen

Batch Normalization is an important approach to advancing deep learning since it allows multiple networks to train simultaneously. A problem arises when normalizing along the batch dimension because B.N.'s error increases significantly as…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Gousia Habib , Ishfaq Ahmed Malik , Jameel Ahmad , Imtiaz Ahmed , Shaima Qureshi

In this work, we address the challenging task of long-tailed image recognition. Previous long-tailed recognition methods commonly focus on the data augmentation or re-balancing strategy of the tail classes to give more attention to tail…

计算机视觉与模式识别 · 计算机科学 2022-09-13 Weide Liu , Zhonghua Wu , Yiming Wang , Henghui Ding , Fayao Liu , Jie Lin , Guosheng Lin

Recent advances in deep learning have shown their ability to learn strong feature representations for images. The task of image clustering naturally requires good feature representations to capture the distribution of the data and…

计算机视觉与模式识别 · 计算机科学 2020-05-12 Vignesh Prasad , Dipanjan Das , Brojeshwar Bhowmick

In this paper, we propose a regularized mixture probabilistic model to cluster matrix data and apply it to brain signals. The approach is able to capture the sparsity (low rank, small/zero values) of the original signals by introducing…

统计方法学 · 统计学 2018-08-07 Xu Gao , Weining Shen , Hernando Ombao

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…

机器学习 · 统计学 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

Main challenges in long-tailed recognition come from the imbalanced data distribution and sample scarcity in its tail classes. While techniques have been proposed to achieve a more balanced training loss and to improve tail classes data…

计算机视觉与模式识别 · 计算机科学 2021-05-04 Bo Liu , Haoxiang Li , Hao Kang , Nuno Vasconcelos , Gang Hua

The expectation-maximization (EM) algorithm and its variants are widely used in statistics. In high-dimensional mixture linear regression, the model is assumed to be a finite mixture of linear regression and the number of predictors is much…

统计理论 · 数学 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

Gaussian Mixture Models (GMMs) range among the most frequently used models in machine learning. However, training large, general GMMs becomes computationally prohibitive for datasets that have many data points $N$ of high-dimensionality…

机器学习 · 统计学 2025-12-12 Sebastian Salwig , Till Kahlke , Florian Hirschberger , Dennis Forster , Jörg Lücke

This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models.…

统计方法学 · 统计学 2013-01-17 Tao Huang , Heng Peng , Kun Zhang

Mini-batch algorithms have become increasingly popular due to the requirement for solving optimization problems, based on large-scale data sets. Using an existing online expectation-{}-maximization (EM) algorithm framework, we demonstrate…

统计计算 · 统计学 2019-09-09 H D Nguyen , F Forbes , G J McLachlan

Long-tailed image recognition is a computer vision problem considering a real-world class distribution rather than an artificial uniform. Existing methods typically detour the problem by i) adjusting a loss function, ii) decoupling…

计算机视觉与模式识别 · 计算机科学 2025-03-06 Youngseok Yoon , Sangwoo Hong , Hyungjun Joo , Yao Qin , Haewon Jeong , Jungwoo Lee