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Kernel approximation methods create explicit, low-dimensional kernel feature maps to deal with the high computational and memory complexity of standard techniques. This work studies a supervised kernel learning methodology to optimize such…

机器学习 · 计算机科学 2020-02-17 Mert Al , Zejiang Hou , Sun-Yuan Kung

In this paper, we present a kernel subspace clustering method that can handle non-linear models. In contrast to recent kernel subspace clustering methods which use predefined kernels, we propose to learn a low-rank kernel matrix, with which…

计算机视觉与模式识别 · 计算机科学 2019-01-28 Pan Ji , Ian Reid , Ravi Garg , Hongdong Li , Mathieu Salzmann

We study the problem of learning local metrics for nearest neighbor classification. Most previous works on local metric learning learn a number of local unrelated metrics. While this "independence" approach delivers an increased flexibility…

机器学习 · 计算机科学 2012-09-17 Jun Wang , Adam Woznica , Alexandros Kalousis

Kernel method is a very powerful tool in machine learning. The trick of kernel has been effectively and extensively applied in many areas of machine learning, such as support vector machine (SVM) and kernel principal component analysis…

网络与互联网体系结构 · 计算机科学 2011-05-17 Shujie Hou , Robert C. Qiu

Multiple kernel methods based on k-means aims to integrate a group of kernels to improve the performance of kernel k-means clustering. However, we observe that most existing multiple kernel k-means methods exploit the nonlinear relationship…

机器学习 · 计算机科学 2020-10-01 Liang Du , Haiying Zhang , Xin Ren , Xiaolin Lv

This paper introduces a new and effective algorithm for learning kernels in a Multi-Task Learning (MTL) setting. Although, we consider a MTL scenario here, our approach can be easily applied to standard single task learning, as well. As…

In this paper, we propose a point cloud classification method based on graph neural network and manifold learning. Different from the conventional point cloud analysis methods, this paper uses manifold learning algorithms to embed point…

计算机视觉与模式识别 · 计算机科学 2020-10-19 Dinghao Yang , Wei Gao

Diffusion Maps framework is a kernel based method for manifold learning and data analysis that defines diffusion similarities by imposing a Markovian process on the given dataset. Analysis by this process uncovers the intrinsic geometric…

机器学习 · 统计学 2015-11-20 Moshe Salhov , Amit Bermanis , Guy Wolf , Amir Averbuch

In image set classification, a considerable advance has been made by modeling the original image sets by second order statistics or linear subspace, which typically lie on the Riemannian manifold. Specifically, they are Symmetric Positive…

计算机视觉与模式识别 · 计算机科学 2018-05-31 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Constructing the adjacency graph is fundamental to graph-based clustering. Graph learning in kernel space has shown impressive performance on a number of benchmark data sets. However, its performance is largely determined by the chosen…

机器学习 · 计算机科学 2019-03-15 Zhao Kang , Liangjian Wen , Wenyu Chen , Zenglin Xu

Much recent work in bioinformatics has focused on the inference of various types of biological networks, representing gene regulation, metabolic processes, protein-protein interactions, etc. A common setting involves inferring network edges…

定量方法 · 定量生物学 2007-05-23 Jean-Philippe Vert , Jian Qiu , William Stafford Noble

3D action recognition was shown to benefit from a covariance representation of the input data (joint 3D positions). A kernel machine feed with such feature is an effective paradigm for 3D action recognition, yielding state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2017-10-05 Jacopo Cavazza , Pietro Morerio , Vittorio Murino

In this paper we introduce the deep kernelized autoencoder, a neural network model that allows an explicit approximation of (i) the mapping from an input space to an arbitrary, user-specified kernel space and (ii) the back-projection from…

Recent advances in geometric deep-learning introduce complex computational challenges for evaluating the distance between meshes. From a mesh model, point clouds are necessary along with a robust distance metric to assess surface quality or…

计算机视觉与模式识别 · 计算机科学 2021-04-30 Léo Lebrat , Rodrigo Santa Cruz , Clinton Fookes , Olivier Salvado

Learning can be seen as approximating an unknown function by interpolating the training data. Kriging offers a solution to this problem based on the prior specification of a kernel. We explore a numerical approximation approach to kernel…

机器学习 · 统计学 2019-05-01 Houman Owhadi , Gene Ryan Yoo

Reducing domain divergence is a key step in transfer learning problems. Existing works focus on the minimization of global domain divergence. However, two domains may consist of several shared subdomains, and differ from each other in each…

机器学习 · 计算机科学 2020-05-08 Pengfei Wei , Yiping Ke , Xinghua Qu , Tze-Yun Leong

Recent theoretical works based on the neural tangent kernel (NTK) have shed light on the optimization and generalization of over-parameterized networks, and partially bridge the gap between their practical success and classical learning…

机器学习 · 计算机科学 2020-08-10 Kyung-Su Kim , Aurélie C. Lozano , Eunho Yang

In this work we introduce KERNELIZED TRANSFORMER, a generic, scalable, data driven framework for learning the kernel function in Transformers. Our framework approximates the Transformer kernel as a dot product between spectral feature maps…

机器学习 · 计算机科学 2022-07-22 Sankalan Pal Chowdhury , Adamos Solomou , Avinava Dubey , Mrinmaya Sachan

Reinforcement learning algorithms often require finiteness of state and action spaces in Markov decision processes (MDPs) (also called controlled Markov chains) and various efforts have been made in the literature towards the applicability…

机器学习 · 计算机科学 2023-09-08 Ali Devran Kara , Naci Saldi , Serdar Yüksel

Learning and generalizing to novel concepts with few samples (Few-Shot Learning) is still an essential challenge to real-world applications. A principle way of achieving few-shot learning is to realize a model that can rapidly adapt to the…

计算机视觉与模式识别 · 计算机科学 2022-07-14 Rongkai Ma , Pengfei Fang , Gil Avraham , Yan Zuo , Tianyu Zhu , Tom Drummond , Mehrtash Harandi