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In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

计算机视觉与模式识别 · 计算机科学 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

The success of kernel-based learning methods depend on the choice of kernel. Recently, kernel learning methods have been proposed that use data to select the most appropriate kernel, usually by combining a set of base kernels. We introduce…

机器学习 · 计算机科学 2011-12-21 Arash Afkanpour , Csaba Szepesvari , Michael Bowling

In many problems of supervised tensor learning (STL), real world data such as face images or MRI scans are naturally represented as matrices, which are also called as second order tensors. Most existing classifiers based on tensor…

机器学习 · 统计学 2018-12-20 Yunfei Ye

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

计算机视觉与模式识别 · 计算机科学 2016-01-12 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

In this paper, we propose a novel subspace learning framework for one-class classification. The proposed framework presents the problem in the form of graph embedding. It includes the previously proposed subspace one-class techniques as its…

机器学习 · 计算机科学 2023-08-29 Fahad Sohrab , Alexandros Iosifidis , Moncef Gabbouj , Jenni Raitoharju

Despite the success of Generative Adversarial Networks (GANs), their training suffers from several well-known problems, including mode collapse and difficulties learning a disconnected set of manifolds. In this paper, we break down the…

机器学习 · 计算机科学 2021-06-21 Mohammadreza Armandpour , Ali Sadeghian , Chunyuan Li , Mingyuan Zhou

Despite the tremendous success of deep neural networks in various learning problems, it has been observed that adding an intentionally designed adversarial perturbation to inputs of these architectures leads to erroneous classification with…

机器学习 · 计算机科学 2018-12-19 Emilio Rafael Balda , Arash Behboodi , Rudolf Mathar

Deep neural network image classifiers are reported to be susceptible to adversarial evasion attacks, which use carefully crafted images created to mislead a classifier. Recently, various kinds of adversarial attack methods have been…

机器学习 · 计算机科学 2019-10-04 He Zhao , Trung Le , Paul Montague , Olivier De Vel , Tamas Abraham , Dinh Phung

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

机器学习 · 统计学 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

This paper addresses distributed learning of a complex object for multiple networked robots based on distributed optimization and kernel-based support vector machine. In order to overcome a fundamental limitation of polynomial kernels…

机器人学 · 计算机科学 2024-12-17 Toshiyuki Oshima , Junya Yamauchi , Tatsuya Ibuki , Michio Seto , Takeshi Hatanaka

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

计算机视觉与模式识别 · 计算机科学 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

Tracking signals in dynamic environments presents difficulties in both analysis and implementation. In this work, we expand on a class of subspace tracking algorithms which utilize the Grassmann manifold -- the set of linear subspaces of a…

信号处理 · 电气工程与系统科学 2024-10-28 Alex Saad-Falcon , Brighton Ancelin , Justin Romberg

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

Deep neural networks (DNNs) are notoriously vulnerable to adversarial attacks that place carefully crafted perturbations on normal examples to fool DNNs. To better understand such attacks, a characterization of the features carried by…

机器学习 · 计算机科学 2024-03-26 Rui Zheng , Yuhao Zhou , Zhiheng Xi , Tao Gui , Qi Zhang , Xuanjing Huang

Adversarial attacks by generating examples which are almost indistinguishable from natural examples, pose a serious threat to learning models. Defending against adversarial attacks is a critical element for a reliable learning system.…

机器学习 · 计算机科学 2021-07-22 Huimin Wu , Zhengmian Hu , Bin Gu

Existing works have extensively studied adversarial examples, which are minimal perturbations that can mislead the output of deep neural networks (DNNs) while remaining imperceptible to humans. However, in this work, we reveal the existence…

机器学习 · 计算机科学 2024-12-11 Lu Chen , Shaofeng Li , Benhao Huang , Fan Yang , Zheng Li , Jie Li , Yuan Luo

Learning precise surrogate models of complex computer simulations and physical machines often require long-lasting or expensive experiments. Furthermore, the modeled physical dependencies exhibit nonlinear and nonstationary behavior.…

机器学习 · 计算机科学 2023-03-20 Matthias Bitzer , Mona Meister , Christoph Zimmer

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

机器学习 · 计算机科学 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

Data-driven discovery of "hidden physics" -- i.e., machine learning of differential equation models underlying observed data -- has recently been approached by embedding the discovery problem into a Gaussian Process regression of spatial…

机器学习 · 计算机科学 2019-08-05 Mamikon Gulian , Maziar Raissi , Paris Perdikaris , George Karniadakis