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Working with annotated data is the cornerstone of supervised learning. Nevertheless, providing labels to instances is a task that requires significant human effort. Several critical real-world applications make things more complicated…

计算机视觉与模式识别 · 计算机科学 2025-09-10 Erencem Ozbey , Dimitrios I. Diochnos

Collective classification models attempt to improve classification performance by taking into account the class labels of related instances. However, they tend not to learn patterns of interactions between classes and/or make the assumption…

机器学习 · 计算机科学 2012-09-26 Leto Peel

Spectral clustering is one of the most popular unsupervised machine learning methods. Constructing similarity matrix is crucial to this type of method. In most existing works, the similarity matrix is computed once for all or is updated…

机器学习 · 计算机科学 2023-06-30 Yongyan Guo , Gang Wu

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

计算机视觉与模式识别 · 计算机科学 2014-03-11 Qiang Qiu , Guillermo Sapiro

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Matrices are two-dimensional data structures allowing one to conceptually organize information. For example, adjacency matrices are useful to store the links of a network; correlation matrices are simple ways to arrange gene co-expression…

无序系统与神经网络 · 物理学 2022-09-29 Flaviano Morone

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many…

机器学习 · 统计学 2014-02-06 Jiaming Xu , Rui Wu , Kai Zhu , Bruce Hajek , R. Srikant , Lei Ying

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

机器学习 · 统计学 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

统计方法学 · 统计学 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

Unsupervised clustering is one of the most fundamental challenges in machine learning. A popular hypothesis is that data are generated from a union of low-dimensional nonlinear manifolds; thus an approach to clustering is identifying and…

机器学习 · 计算机科学 2017-12-27 Dejiao Zhang , Yifan Sun , Brian Eriksson , Laura Balzano

We use machine learning to classify examples of braids (or flat braids) as trivial or non-trivial. Our ML takes form of supervised learning using neural networks (multilayer perceptrons). When they achieve good results in classification, we…

几何拓扑 · 数学 2023-07-25 Alexei Lisitsa , Mateo Salles , Alexei Vernitski

Supervised Learning has been successfully used to produce phase diagrams and identify phase boundaries when local order parameters are unavailable. Here, we apply unsupervised learning to this task. By using readily available clustering…

强关联电子 · 物理学 2019-08-19 Steven Durr , Sudip Chakravarty

In this work, we introduce a novel methodology for divisive hierarchical clustering. Our divisive (``top-down'') approach is motivated by the fact that agglomerative hierarchical clustering (``bottom-up''), which is commonly used for…

统计方法学 · 统计学 2025-10-07 Jan O. Bauer

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

计算机视觉与模式识别 · 计算机科学 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Dataset bias is a critical challenge in machine learning since it often leads to a negative impact on a model due to the unintended decision rules captured by spurious correlations. Although existing works often handle this issue based on…

机器学习 · 计算机科学 2022-04-05 Seonguk Seo , Joon-Young Lee , Bohyung Han

This paper describes a design that can be used for Explainable AI. The lower level is a nested ensemble of patterns created by self-organisation. The upper level is a hierarchical tree, where nodes are linked through individual concepts, so…

人工智能 · 计算机科学 2020-11-30 Kieran Greer

Clustering is a fundamental unsupervised representation learning task with wide application in computer vision and pattern recognition. Deep clustering utilizes deep neural networks to learn latent representation, which is suitable for…

计算机视觉与模式识别 · 计算机科学 2023-12-27 Wenhao Wu , Weiwei Wang , Shengjiang Kong

We consider evaluation of matrix elements with the coupled-cluster method. Such calculations formally involve infinite number of terms and we devise a method of partial summation (dressing) of the resulting series. Our formalism is built…

原子物理 · 物理学 2009-11-10 Andrei Derevianko , Sergey Porsev

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

计算机视觉与模式识别 · 计算机科学 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li
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