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The rapid development of reliable Quantum Processing Units (QPU) opens up novel computational opportunities for machine learning. Here, we introduce a procedure for measuring the similarity between graph-structured data, based on the…

Quantum Physics · Physics 2021-09-29 Louis-Paul Henry , Slimane Thabet , Constantin Dalyac , Loïc Henriet

In this paper, we propose a multi-kernel classifier learning algorithm to optimize a given nonlinear and nonsmoonth multivariate classifier performance measure. Moreover, to solve the problem of kernel function selection and kernel…

Machine Learning · Computer Science 2015-08-26 Jingbin Wang , Haoxiang Wang , Yihua Zhou , Nancy McDonald

Modern single-cell flow and mass cytometry technologies measure the expression of several proteins of the individual cells within a blood or tissue sample. Each profiled biological sample is thus represented by a set of hundreds of…

Machine Learning · Computer Science 2022-06-29 Siyuan Shan , Vishal Baskaran , Haidong Yi , Jolene Ranek , Natalie Stanley , Junier Oliva

Multiple kernel learning algorithms are proposed to combine kernels in order to obtain a better similarity measure or to integrate feature representations coming from different data sources. Most of the previous research on such methods is…

Machine Learning · Computer Science 2012-07-03 Mehmet Gonen

Recently, there have been some breakthroughs in graph analysis by applying the graph neural networks (GNNs) following a neighborhood aggregation scheme, which demonstrate outstanding performance in many tasks. However, we observe that the…

Machine Learning · Computer Science 2021-04-13 Hanchen Wang , Defu Lian , Ying Zhang , Lu Qin , Xiangjian He , Yiguang Lin , Xuemin Lin

A novel kernel-based support vector machine (SVM) for graph classification is proposed. The SVM feature space mapping consists of a sequence of graph convolutional layers, which generates a vector space representation for each vertex,…

Machine Learning · Computer Science 2020-08-05 Padraig Corcoran

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

Machine Learning · Statistics 2026-05-12 Anthony Stephenson

We implement an all-optical setup demonstrating kernel-based quantum machine learning for two-dimensional classification problems. In this hybrid approach, kernel evaluations are outsourced to projective measurements on suitably designed…

Graph embedding techniques have attracted growing interest since they convert the graph data into continuous and low-dimensional space. Effective graph analytic provides users a deeper understanding of what is behind the data and thus can…

Machine Learning · Computer Science 2022-01-21 Azita Nouri , Philip E. Davis , Pradeep Subedi , Manish Parashar

Recent advances in self-supervised learning and neural network scaling have enabled the creation of large models, known as foundation models, which can be easily adapted to a wide range of downstream tasks. The current paradigm for…

Machine Learning · Computer Science 2024-01-09 Brandon Duderstadt , Hayden S. Helm , Carey E. Priebe

The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Data Structures and Algorithms · Computer Science 2024-09-05 João N. F. Alves , Samir Moustafa , Siegfried Benkner , Alexandre P. Francisco , Wilfried N. Gansterer , Luís M. S. Russo

Recently, machine learning had a remarkable impact, from scientific to everyday-life applications. However, complex tasks often imply unfeasible energy and computational power consumption. Quantum computation might lower such requirements,…

Graph-based methods pervade the inference toolkits of numerous disciplines including sociology, biology, neuroscience, physics, chemistry, and engineering. A challenging problem encountered in this context pertains to determining the…

Machine Learning · Computer Science 2018-09-25 Daniel Romero , Vassilis N. Ioannidis , Georgios B. Giannakis

We propose a general multi-class visual recognition model, termed the Classifier Graph, which aims to generalize and integrate ideas from many of today's successful hierarchical recognition approaches. Our graph-based model has the…

Computer Vision and Pattern Recognition · Computer Science 2014-04-11 Marius Leordeanu , Rahul Sukthankar

Random Fourier features (RFFs) provide a promising way for kernel learning in a spectral case. Current RFFs-based kernel learning methods usually work in a two-stage way. In the first-stage process, learning the optimal feature map is often…

Machine Learning · Computer Science 2024-01-17 Kun Fang , Fanghui Liu , Xiaolin Huang , Jie Yang

To fully exploit the performance potential of modern multi-core processors, machine learning and data mining algorithms for big data must be parallelized in multiple ways. Today's CPUs consist of multiple cores, each following an…

Machine Learning · Computer Science 2020-11-09 Christian Böhm , Claudia Plant

Kernel methods are powerful tools in statistical learning, but their cubic complexity in the sample size n limits their use on large-scale datasets. In this work, we introduce a scalable framework for kernel regression with O(n log n)…

Machine Learning · Statistics 2025-09-04 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

This paper introduces a novel approach to probabilistic deep learning, kernel density matrices, which provide a simpler yet effective mechanism for representing joint probability distributions of both continuous and discrete random…

Machine Learning · Computer Science 2024-05-01 Fabio A. González , Raúl Ramos-Pollán , Joseph A. Gallego-Mejia

Graph learning is currently dominated by graph kernels, which, while powerful, suffer some significant limitations. Convolutional Neural Networks (CNNs) offer a very appealing alternative, but processing graphs with CNNs is not trivial. To…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Antoine Jean-Pierre Tixier , Giannis Nikolentzos , Polykarpos Meladianos , Michalis Vazirgiannis
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