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We propose a general matrix-valued multiple kernel learning framework for high-dimensional nonlinear multivariate regression problems. This framework allows a broad class of mixed norm regularizers, including those that induce sparsity, to…

Machine Learning · Computer Science 2014-08-12 Vikas Sindhwani , Ha Quang Minh , Aurelie Lozano

We propose a general matrix-valued multiple kernel learning framework for high-dimensional nonlinear multivariate regression problems. This framework allows a broad class of mixed norm regularizers, including those that induce sparsity, to…

Machine Learning · Statistics 2013-03-11 Vikas Sindhwani , Minh Ha Quang , Aurelie C. Lozano

Acquiring labels are often costly, whereas unlabeled data are usually easy to obtain in modern machine learning applications. Semi-supervised learning provides a principled machine learning framework to address such situations, and has been…

Machine Learning · Computer Science 2017-04-07 Trung Le , Khanh Nguyen , Van Nguyen , Vu Nguyen , Dinh Phung

This paper introduces kernel continual learning, a simple but effective variant of continual learning that leverages the non-parametric nature of kernel methods to tackle catastrophic forgetting. We deploy an episodic memory unit that…

Machine Learning · Computer Science 2021-07-16 Mohammad Mahdi Derakhshani , Xiantong Zhen , Ling Shao , Cees G. M. Snoek

We introduce propagation kernels, a general graph-kernel framework for efficiently measuring the similarity of structured data. Propagation kernels are based on monitoring how information spreads through a set of given graphs. They leverage…

Machine Learning · Statistics 2014-10-14 Marion Neumann , Roman Garnett , Christian Bauckhage , Kristian Kersting

A brain can detect outlier just by using only normal samples. Similarly, one-class classification (OCC) also uses only normal samples to train the model and trained model can be used for outlier detection. In this paper, a multi-layer…

Machine Learning · Computer Science 2019-04-16 Chandan Gautam , Aruna Tiwari , M. Tanveer

A method for analyzing the feature map for the kernel-based quantum classifier is developed; that is, we give a general formula for computing a lower bound of the exact training accuracy, which helps us to see whether the selected feature…

Quantum Physics · Physics 2020-08-18 Yudai Suzuki , Hiroshi Yano , Qi Gao , Shumpei Uno , Tomoki Tanaka , Manato Akiyama , Naoki Yamamoto

The Graph Convolutional Network (GCN) model and its variants are powerful graph embedding tools for facilitating classification and clustering on graphs. However, a major challenge is to reduce the complexity of layered GCNs and make them…

Machine Learning · Computer Science 2020-08-06 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

The paper introduces a new efficient nonlinear one-class classifier formulated as the Rayleigh quotient criterion optimisation. The method, operating in a reproducing kernel Hilbert space, minimises the scatter of target distribution along…

Machine Learning · Computer Science 2019-02-12 Shervin Rahimzadeh Arashloo , Josef Kittler

Kernel classifiers and regressors designed for structured data, such as sequences, trees and graphs, have significantly advanced a number of interdisciplinary areas such as computational biology and drug design. Typically, kernels are…

Machine Learning · Computer Science 2020-01-14 Hanjun Dai , Bo Dai , Le Song

Most machine learning algorithms, such as classification or regression, treat the individual data point as the object of interest. Here we consider extending machine learning algorithms to operate on groups of data points. We suggest…

Machine Learning · Computer Science 2021-01-15 Danica J. Sutherland , Liang Xiong , Barnabás Póczos , Jeff Schneider

Approximation of non-linear kernels using random feature maps has become a powerful technique for scaling kernel methods to large datasets. We propose $\textit{Tensor Sketch}$, an efficient random feature map for approximating polynomial…

Data Structures and Algorithms · Computer Science 2025-05-20 Ninh Pham , Rasmus Pagh

Kernel extreme learning machine (KELM) is a novel feedforward neural network, which is widely used in classification problems. To some extent, it solves the existing problems of the invalid nodes and the large computational complexity in…

Machine Learning · Computer Science 2019-03-14 Jie Wang , Yi-Fan Song , Tian-Lei Ma

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Anjan Dutta , Hichem Sahbi

We propose graph kernels based on subgraph matchings, i.e. structure-preserving bijections between subgraphs. While recently proposed kernels based on common subgraphs (Wale et al., 2008; Shervashidze et al., 2009) in general can not be…

Machine Learning · Computer Science 2012-07-03 Nils Kriege , Petra Mutzel

This paper presents a novel approach for multi-kernel estimation by enhancing the KernelGAN algorithm, which traditionally estimates a single kernel for the entire image. We introduce Multi-KernelGAN, which extends KernelGAN's capabilities…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Haim Goldfisher , Asaf Yekutiel

Graph kernels based on the $1$-dimensional Weisfeiler-Leman algorithm and corresponding neural architectures recently emerged as powerful tools for (supervised) learning with graphs. However, due to the purely local nature of the…

Data Structures and Algorithms · Computer Science 2020-10-20 Christopher Morris , Gaurav Rattan , Petra Mutzel

This paper provides a new similarity detection algorithm. Given an input set of multi-dimensional data points, where each data point is assumed to be multi-dimensional, and an additional reference data point for similarity finding, the…

Artificial Intelligence · Computer Science 2017-07-12 Yariv Aizenbud , Amir Averbuch , Gil Shabat , Guy Ziv