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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

We show how to incorporate information from labeled examples into nonnegative matrix factorization (NMF), a popular unsupervised learning algorithm for dimensionality reduction. In addition to mapping the data into a space of lower…

机器学习 · 计算机科学 2011-12-19 Youngmin Cho , Lawrence K. Saul

Generalized category discovery (GCD) is an important and challenging task in open-world learning. Specifically, given some labeled data of known classes, GCD aims to cluster unlabeled data that contain both known and unknown classes.…

计算机视觉与模式识别 · 计算机科学 2025-12-16 Zhimao Peng , Enguang Wang , Fei Yang , Xialei Liu , Ming-Ming Cheng

Generalized Category Discovery (GCD) is a classification task that aims to classify both base and novel classes in unlabeled images, using knowledge from a labeled dataset. In GCD, previous research overlooks scene information or treats it…

计算机视觉与模式识别 · 计算机科学 2025-03-19 Zhengyuan Peng , Jinpeng Ma , Zhimin Sun , Ran Yi , Haichuan Song , Xin Tan , Lizhuang Ma

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

计算机视觉与模式识别 · 计算机科学 2014-05-28 Ivan Ivek

Non-negative matrix factorization (NMF) is an important tool in signal processing and widely used to separate mixed sources into their components. Algorithms for NMF require that the user choose the number of components in advance, and if…

机器学习 · 计算机科学 2025-01-10 Youdong Guo , Timothy E. Holy

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

人工智能 · 计算机科学 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

This paper addresses generalized category discovery (GCD), the task of clustering unlabeled data from potentially known or unknown categories with the help of labeled instances from each known category. Compared to traditional…

计算机视觉与模式识别 · 计算机科学 2025-02-14 Menglin Wang , Zhun Zhong , Xiaojin Gong

Novel Categories Discovery (NCD) aims to cluster novel data based on the class semantics of known classes using the open-world partial class space annotated dataset. As an alternative to the traditional pseudo-labeling-based approaches, we…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Zahid Hasan , Abu Zaher Md Faridee , Masud Ahmed , Sanjay Purushotham , Heesung Kwon , Hyungtae Lee , Nirmalya Roy

Symmetric nonnegative matrix factorization (SymNMF) has important applications in data analytics problems such as document clustering, community detection and image segmentation. In this paper, we propose a novel nonconvex variable…

最优化与控制 · 数学 2017-03-27 Songtao Lu , Mingyi Hong , Zhengdao Wang

This paper provides a theoretical support for clustering aspect of the nonnegative matrix factorization (NMF). By utilizing the Karush-Kuhn-Tucker optimality conditions, we show that NMF objective is equivalent to graph clustering…

机器学习 · 计算机科学 2011-12-20 Andri Mirzal

We explore the problem of Incremental Generalized Category Discovery (IGCD). This is a challenging category incremental learning setting where the goal is to develop models that can correctly categorize images from previously seen…

计算机视觉与模式识别 · 计算机科学 2023-12-11 Bingchen Zhao , Oisin Mac Aodha

As we all known, the nonnegative matrix factorization (NMF) is a dimension reduction method that has been widely used in image processing, text compressing and signal processing etc. In this paper, an algorithm for nonnegative matrix…

数值分析 · 数学 2013-05-27 Shu-Zhen Lai , Hou-Biao Li , Zu-Tao Zhang

Generalized Category Discovery (GCD) aims to recognize unlabeled images from known and novel classes by distinguishing novel classes from known ones, while also transferring knowledge from another set of labeled images with known classes.…

计算机视觉与模式识别 · 计算机科学 2025-07-10 Qiyuan Dai , Hanzhuo Huang , Yu Wu , Sibei Yang

Generalized Class Discovery (GCD) aims to dynamically assign labels to unlabelled data partially based on knowledge learned from labelled data, where the unlabelled data may come from known or novel classes. The prevailing approach…

机器学习 · 计算机科学 2024-05-01 Ye Wang , Yaxiong Wang , Yujiao Wu , Bingchen Zhao , Xueming Qian

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

计算机视觉与模式识别 · 计算机科学 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

Non-Negative Matrix Factorization (NMF) is an unsupervised learning method offering low-rank representations across various domains such as audio processing, biomedical signal analysis, and image recognition. The incorporation of…

机器学习 · 计算机科学 2025-10-09 Yasaman Torabi , Shahram Shirani , James P. Reilly

In this work we perform some mathematical analysis on non-negative matrix factorizations (NMF) and apply NMF to some imaging and inverse problems. We will propose a sparse low-rank approximation of big positive data and images in terms of…

最优化与控制 · 数学 2015-04-24 Yat Tin Chow , Kazufumi Ito , Jun Zou

Generalized Category Discovery (GCD) aims to classify test-time samples into either seen categories** -- available during training -- or novel ones, without relying on label supervision. Most existing GCD methods assume simultaneous access…

计算机视觉与模式识别 · 计算机科学 2025-10-21 Vaibhav Rathore , Divyam Gupta , Biplab Banerjee

Non-negative matrix factorization (NMF) is widely used for dimensionality reduction and interpretable analysis, but standard formulations are unsupervised and cannot directly exploit class labels. Existing supervised or semi-supervised…

机器学习 · 计算机科学 2025-10-14 Kenichi Satoh