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Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

机器学习 · 计算机科学 2021-02-02 Farhad Pourkamali-Anaraki

Spectral clustering uses a graph Laplacian spectral embedding to enhance the cluster structure of some data sets. When the embedding is one dimensional, it can be used to sort the items (spectral ordering). A number of empirical results…

数据结构与算法 · 计算机科学 2018-07-20 Antoine Recanati , Thomas Kerdreux , Alexandre d'Aspremont

Misaligned research objectives have considerably hindered progress in adversarial robustness research over the past decade. For instance, an extensive focus on optimizing target metrics, while neglecting rigorous standardized evaluation,…

Deep neural networks for computer vision are deployed in increasingly safety-critical and socially-impactful applications, motivating the need to close the gap in model performance under varied, naturally occurring imaging conditions.…

计算机视觉与模式识别 · 计算机科学 2022-11-29 Nathan Drenkow , Numair Sani , Ilya Shpitser , Mathias Unberath

Spectral algorithms are graph partitioning algorithms that partition a node set of a graph into groups by using a spectral embedding map. Clustering techniques based on the algorithms are referred to as spectral clustering and are widely…

机器学习 · 计算机科学 2021-09-08 Tomohiko Mizutani

Clustering of data sets is a standard problem in many areas of science and engineering. The method of spectral clustering is based on embedding the data set using a kernel function, and using the top eigenvectors of the normalized Laplacian…

统计理论 · 数学 2015-04-08 Geoffrey Schiebinger , Martin J. Wainwright , Bin Yu

Self-supervised heterogeneous graph learning (SHGL) has shown promising potential in diverse scenarios. However, while existing SHGL methods share a similar essential with clustering approaches, they encounter two significant limitations:…

人工智能 · 计算机科学 2024-12-03 Yujie Mo , Zhihe Lu , Runpeng Yu , Xiaofeng Zhu , Xinchao Wang

Due to the massive size of modern network data, local algorithms that run in sublinear time for analyzing the cluster structure of the graph are receiving growing interest. Two typical examples are local graph clustering algorithms that…

数据结构与算法 · 计算机科学 2019-04-23 Pan Peng

Adversarial robustness has proven to be a required property of machine learning algorithms. A key and often overlooked aspect of this problem is to try to make the adversarial noise magnitude as large as possible to enhance the benefits of…

机器学习 · 统计学 2020-03-31 Amirreza Shaeiri , Rozhin Nobahari , Mohammad Hossein Rohban

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

计算机视觉与模式识别 · 计算机科学 2011-12-14 Shai Bagon , Meirav Galun

Consensus clustering aggregates partitions in order to find a better fit by reconciling clustering results from different sources/executions. In practice, there exist noise and outliers in clustering task, which, however, may significantly…

机器学习 · 计算机科学 2023-01-03 Deguang Kong , Miao Lu , Konstantin Shmakov , Jian Yang

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

机器学习 · 计算机科学 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

Despite their performance, Artificial Neural Networks are not reliable enough for most of industrial applications. They are sensitive to noises, rotations, blurs and adversarial examples. There is a need to build defenses that protect…

机器学习 · 计算机科学 2020-08-20 Alfred Laugros , Alice Caplier , Matthieu Ospici

Anchor-based techniques reduce the computational complexity of spectral clustering algorithms. Although empirical tests have shown promising results, there is currently a lack of theoretical support for the anchoring approach. We define a…

机器学习 · 统计学 2020-06-30 Henry-Louis de Kergorlay , Desmond John Higham

Despite their impressive performance, deep convolutional neural networks (CNNs) have been shown to be sensitive to small adversarial perturbations. These nuisances, which one can barely notice, are powerful enough to fool sophisticated and…

机器学习 · 统计学 2019-08-07 Yaniv Romano , Aviad Aberdam , Jeremias Sulam , Michael Elad

Spectral clustering has proven effective in grouping speech representations for speaker diarization tasks, although post-processing the affinity matrix remains difficult due to the need for careful tuning before constructing the Laplacian.…

信号处理 · 电气工程与系统科学 2025-06-06 Nikhil Raghav , Avisek Gupta , Md Sahidullah , Swagatam Das

Spectral clustering is a broad class of clustering procedures in which an intractable combinatorial optimization formulation of clustering is "relaxed" into a tractable eigenvector problem, and in which the relaxed solution is subsequently…

统计方法学 · 统计学 2011-02-21 Zhihua Zhang , Michael I. Jordan

In this research, we introduce the concept of "computational entanglement," a phenomenon observed in overparameterized feedforward linear networks that enables the network to achieve zero loss by fitting random noise, even on previously…

机器学习 · 计算机科学 2024-10-01 YenLung Lai , Xingbo Dong , Zhe Jin

Alongside the well-publicized accomplishments of deep neural networks there has emerged an apparent bug in their success on tasks such as object recognition: with deep models trained using vanilla methods, input images can be slightly…

机器学习 · 计算机科学 2021-03-04 Jacob Abernethy , Pranjal Awasthi , Satyen Kale

It is common practice to apply padding prior to convolution operations to preserve the resolution of feature-maps in Convolutional Neural Networks (CNN). While many alternatives exist, this is often achieved by adding a border of zeros…

计算机视觉与模式识别 · 计算机科学 2023-08-15 Paul Gavrikov , Janis Keuper