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Deep Subspace Clustering Networks (DSC) provide an efficient solution to the problem of unsupervised subspace clustering by using an undercomplete deep auto-encoder with a fully-connected layer to exploit the self expressiveness property.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Jeya Maria Jose Valanarasu , Vishal M. Patel

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

Information Theory · Computer Science 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

Machine Learning · Computer Science 2020-05-05 Ying Chen , Chun-Guang Li , Chong You

Convolutional neural networks (CNN) have led to many state-of-the-art results spanning through various fields. However, a clear and profound theoretical understanding of the forward pass, the core algorithm of CNN, is still lacking. In…

Machine Learning · Statistics 2017-02-02 Vardan Papyan , Yaniv Romano , Michael Elad

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

Information Theory · Computer Science 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

The eigendeomposition of nearest-neighbor (NN) graph Laplacian matrices is the main computational bottleneck in spectral clustering. In this work, we introduce a highly-scalable, spectrum-preserving graph sparsification algorithm that…

Machine Learning · Computer Science 2018-10-12 Yongyu Wang , Zhuo Feng

Sparse random linear network coding (SRLNC) is an attractive technique proposed in the literature to reduce the decoding complexity of random linear network coding. Recognizing the fact that the existing SRLNC schemes are not efficient in…

Information Theory · Computer Science 2013-11-12 Kaveh Mahdaviani , Raman Yazdani , Masoud Ardakani

The nowadays massive amounts of generated and communicated data present major challenges in their processing. While capable of successfully classifying nonlinearly separable objects in various settings, subspace clustering (SC) methods…

Machine Learning · Computer Science 2015-10-07 Panagiotis A. Traganitis , Konstantinos Slavakis , Georgios B. Giannakis

The classical sparse coding (SC) model represents visual stimuli as a linear combination of a handful of learned basis functions that are Gabor-like when trained on natural image data. However, the Gabor-like filters learned by classical…

Neurons and Cognition · Quantitative Biology 2024-02-19 Jonathan Huml , Abiy Tasissa , Demba Ba

Modern dense Flash memory devices operate at very low error rates, which require powerful error correcting coding (ECC) techniques. An emerging class of graph-based ECC techniques that has broad applications is the class of…

Information Theory · Computer Science 2019-09-25 Ahmed Hareedy , Homa Esfahanizadeh , Lara Dolecek

Deep subspace clustering (DSC) networks based on self-expressive model learn representation matrix, often implemented in terms of fully connected network, in the embedded space. After the learning is finished, representation matrix is used…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Lovro Sindičić , Ivica Kopriva

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Contrastive learning has recently attracted plenty of attention in deep graph clustering for its promising performance. However, complicated data augmentations and time-consuming graph convolutional operation undermine the efficiency of…

Machine Learning · Computer Science 2022-06-28 Yue Liu , Xihong Yang , Sihang Zhou , Xinwang Liu

Random Linear Network Coding (RLNC) is a transmission scheme that opts for linear combinations of the transmitted packets at a subset of the intermediate nodes. This scheme is usually considered when Network Coding (NC) is desired over…

Information Theory · Computer Science 2023-04-27 Amine Brahimi , Fatiha Merazka

Subspace clustering refers to the problem of segmenting high dimensional data drawn from a union of subspaces into the respective subspaces. In some applications, partial side-information to indicate "must-link" or "cannot-link" in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Chun-Guang Li , Junjian Zhang , Jun Guo

Deep network-based image Compressed Sensing (CS) has attracted much attention in recent years. However, the existing deep network-based CS schemes either reconstruct the target image in a block-by-block manner that leads to serious block…

Image and Video Processing · Electrical Eng. & Systems 2021-12-08 Wenxue Cui , Shaohui Liu , Feng Jiang , Debin Zhao

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

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

Optimization and Control · Mathematics 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

Quantization can be used to form new vectors/matrices with shared values close to the original. In recent years, the popularity of scalar quantization for value-sharing applications has been soaring as it has been found huge utilities in…

Machine Learning · Computer Science 2019-12-11 Chen Wang , Xiaomei Yang , Shaomin Fei , Kai Zhou , Xiaofeng Gong , Miao Du , Ruisen Luo

Group-based sparse representation has shown great potential in image denoising. However, most existing methods only consider the nonlocal self-similarity (NSS) prior of noisy input image. That is, the similar patches are collected only from…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Lan Tang , Xin Liu