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The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Lei Zhang , Zhang Yi , Kok Kiong Tan

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

We propose a symmetric low-rank representation (SLRR) method for subspace clustering, which assumes that a data set is approximately drawn from the union of multiple subspaces. The proposed technique can reveal the membership of multiple…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Jie Chen , Haixian Zhang , Hua Mao , Yongsheng Sang , Zhang Yi

We propose a decentralised "local2global"' approach to graph representation learning, that one can a-priori use to scale any embedding technique. Our local2global approach proceeds by first dividing the input graph into overlapping…

Machine Learning · Computer Science 2022-01-14 Lucas G. S. Jeub , Giovanni Colavizza , Xiaowen Dong , Marya Bazzi , Mihai Cucuringu

Subspace data representation has recently become a common practice in many computer vision tasks. It demands generalizing classical machine learning algorithms for subspace data. Low-Rank Representation (LRR) is one of the most successful…

Computer Vision and Pattern Recognition · Computer Science 2017-05-19 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

Spatial self-attention layers, in the form of Non-Local blocks, introduce long-range dependencies in Convolutional Neural Networks by computing pairwise similarities among all possible positions. Such pairwise functions underpin the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Francesca Babiloni , Ioannis Marras , Filippos Kokkinos , Jiankang Deng , Grigorios Chrysos , Stefanos Zafeiriou

This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear subspaces. The first contribution of our work is to insert…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Mohsen Kheirandishfard , Fariba Zohrizadeh , Farhad Kamangar

Contrastive learning, which aims to capture general representation from unlabeled images to initialize the medical analysis models, has been proven effective in alleviating the high demand for expensive annotations. Current methods mainly…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Huai Chen , Renzhen Wang , Xiuying Wang , Jieyu Li , Qu Fang , Hui Li , Jianhao Bai , Qing Peng , Deyu Meng , Lisheng Wang

Local discriminative representation is needed in many medical image analysis tasks such as identifying sub-types of lesion or segmenting detailed components of anatomical structures. However, the commonly applied supervised representation…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huai Chen , Jieyu Li , Renzhen Wang , Yijie Huang , Fanrui Meng , Deyu Meng , Qing Peng , Lisheng Wang

Self-supervised learning has been widely used to obtain transferrable representations from unlabeled images. Especially, recent contrastive learning methods have shown impressive performances on downstream image classification tasks. While…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Byungseok Roh , Wuhyun Shin , Ildoo Kim , Sungwoong Kim

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

Low-Rank Representation (LRR) is arguably one of the most powerful paradigms for Multi-view spectral clustering, which elegantly encodes the multi-view local graph/manifold structures into an intrinsic low-rank self-expressive data…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Yang Wang , Lin Wu

We propose a decentralised "local2global" approach to graph representation learning, that one can a-priori use to scale any embedding technique. Our local2global approach proceeds by first dividing the input graph into overlapping subgraphs…

Machine Learning · Computer Science 2021-07-27 Lucas G. S. Jeub , Giovanni Colavizza , Xiaowen Dong , Marya Bazzi , Mihai Cucuringu

Low rank representation (LRR) has recently attracted great interest due to its pleasing efficacy in exploring low-dimensional subspace structures embedded in data. One of its successful applications is subspace clustering which means data…

Computer Vision and Pattern Recognition · Computer Science 2015-04-09 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

This is a tutorial and survey paper for Locally Linear Embedding (LLE) and its variants. The idea of LLE is fitting the local structure of manifold in the embedding space. In this paper, we first cover LLE, kernel LLE, inverse LLE, and…

Machine Learning · Statistics 2020-11-24 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Causal representation learning (CRL) has garnered increasing interest from the causal inference and artificial intelligence communities due to its potential to disentangle complex data-generating mechanism into causally interpretable latent…

Machine Learning · Statistics 2026-05-28 Hao Chen , Lin Liu , Yu Guang Wang

Under the framework of spectral clustering, the key of subspace clustering is building a similarity graph which describes the neighborhood relations among data points. Some recent works build the graph using sparse, low-rank, and…

Machine Learning · Computer Science 2017-05-17 Xi Peng , Huajin Tang , Lei Zhang , Zhang Yi , Shijie Xiao

In this paper, we address the problem of landmark-based visual place recognition. In the state-of-the-art method, accurate object proposal algorithms are first leveraged for generating a set of local regions containing particular landmarks…

Robotics · Computer Science 2018-08-24 Bo Yang , Jun Li , Xiaosu Xu , Hong Zhang

In supervised deep learning, learning good representations for remote--sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data. Recently, self--supervised…

Machine Learning · Computer Science 2022-09-27 Qinglin Li , Bin Li , Jonathan M Garibaldi , Guoping Qiu
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