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Gaussian Mixture Models (GMMs) are a standard tool in data analysis. However, they face problems when applied to high-dimensional data (e.g., images) due to the size of the required full covariance matrices (CMs), whereas the use of…

机器学习 · 计算机科学 2023-08-29 Alexander Gepperth

Clustering high-dimensional data is especially challenging when cluster distributions are heavy tailed and only approximately elliptical. Existing high-dimensional methods are largely built for Gaussian or other light-tailed models, whereas…

统计方法学 · 统计学 2026-05-12 Long Feng , Dan Zhuang

Distribution learning focuses on learning the probability density function from a set of data samples. In contrast, clustering aims to group similar objects together in an unsupervised manner. Usually, these two tasks are considered…

机器学习 · 计算机科学 2023-08-31 Guanfang Dong , Chenqiu Zhao , Anup Basu

A thorough and holistic scene understanding is crucial for autonomous vehicles, where LiDAR semantic segmentation plays an indispensable role. However, most existing methods focus on the network design while neglecting the inherent…

计算机视觉与模式识别 · 计算机科学 2021-03-29 Peishan Cong , Xinge Zhu , Yuexin Ma

This paper proposes using a sparse-structured multivariate Gaussian to provide a closed-form approximator for the output of probabilistic ensemble models used for dense image prediction tasks. This is achieved through a convolutional neural…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Ivor J. A. Simpson , Sara Vicente , Neill D. F. Campbell

This paper represents a preliminary (pre-reviewing) version of a sublinear variational algorithm for isotropic Gaussian mixture models (GMMs). Further developments of the algorithm for GMMs with diagonal covariance matrices (instead of…

机器学习 · 统计学 2022-06-22 Florian Hirschberger , Dennis Forster , Jörg Lücke

Background: Deep learning models are typically trained using stochastic gradient descent or one of its variants. These methods update the weights using their gradient, estimated from a small fraction of the training data. It has been…

机器学习 · 统计学 2018-01-03 Elad Hoffer , Itay Hubara , Daniel Soudry

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

Decoupling representation learning and classifier learning has been shown to be effective in classification with long-tailed data. There are two main ingredients in constructing a decoupled learning scheme; 1) how to train the feature…

机器学习 · 计算机科学 2023-04-20 Giung Nam , Sunguk Jang , Juho Lee

Many leading self-supervised methods for unsupervised representation learning, in particular those for embedding image features, are built on variants of the instance discrimination task, whose optimization is known to be prone to…

计算机视觉与模式识别 · 计算机科学 2024-08-06 Daniel Shalam , Simon Korman

In this work, we introduce a novel strategy for long-tail recognition that addresses the tail classes' few-shot problem via training-free knowledge transfer. Our objective is to transfer knowledge acquired from information-rich common…

计算机视觉与模式识别 · 计算机科学 2022-04-13 Sarah Parisot , Pedro M. Esperanca , Steven McDonagh , Tamas J. Madarasz , Yongxin Yang , Zhenguo Li

Prevalent semantic segmentation solutions are, in essence, a dense discriminative classifier of p(class|pixel feature). Though straightforward, this de facto paradigm neglects the underlying data distribution p(pixel feature|class), and…

计算机视觉与模式识别 · 计算机科学 2022-10-06 Chen Liang , Wenguan Wang , Jiaxu Miao , Yi Yang

Normalization techniques have only recently begun to be exploited in supervised learning tasks. Batch normalization exploits mini-batch statistics to normalize the activations. This was shown to speed up training and result in better…

机器学习 · 计算机科学 2017-03-08 Mengye Ren , Renjie Liao , Raquel Urtasun , Fabian H. Sinz , Richard S. Zemel

It is a common assumption that the activation of different layers in neural networks follow Gaussian distribution. This distribution can be transformed using normalization techniques, such as batch-normalization, increasing convergence…

机器学习 · 计算机科学 2020-10-19 Andras Horvath , Jalal Al-afandi

Generalized Class Discovery (GCD) plays a pivotal role in discerning both known and unknown categories from unlabeled datasets by harnessing the insights derived from a labeled set comprising recognized classes. A significant limitation in…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Ziyun Li , Christoph Meinel , Haojin Yang

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

机器人学 · 计算机科学 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

Few shot learning is an important problem in machine learning as large labelled datasets take considerable time and effort to assemble. Most few-shot learning algorithms suffer from one of two limitations- they either require the design of…

机器学习 · 计算机科学 2022-04-12 Shakti Kumar , Hussain Zaidi

Visual attention mechanisms are a key component of neural network models for computer vision. By focusing on a discrete set of objects or image regions, these mechanisms identify the most relevant features and use them to build more…

计算机视觉与模式识别 · 计算机科学 2021-04-08 António Farinhas , André F. T. Martins , Pedro M. Q. Aguiar

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

统计方法学 · 统计学 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

统计方法学 · 统计学 2022-05-24 Jingfei Zhang , Yi Li