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The rapid development of Internet technology has given rise to a vast amount of graph-structured data. Graph Neural Networks (GNNs), as an effective method for various graph mining tasks, incurs substantial computational resource costs when…

Machine Learning · Computer Science 2024-03-04 Lin Wang , Wenqi Fan , Jiatong Li , Yao Ma , Qing Li

Kernel methods are learning algorithms that enjoy solid theoretical foundations while suffering from important computational limitations. Sketching, which consists in looking for solutions among a subspace of reduced dimension, is a well…

Machine Learning · Statistics 2023-11-07 Tamim El Ahmad , Pierre Laforgue , Florence d'Alché-Buc

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

Machine Learning · Computer Science 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

In this paper, we devise a scheme for kernelizing, in sublinear space and polynomial time, various problems on planar graphs. The scheme exploits planarity to ensure that the resulting algorithms run in polynomial time and use O((sqrt(n) +…

Data Structures and Algorithms · Computer Science 2023-07-04 Arindam Biswas , Johannes Meintrup

Kernel method in machine learning consists of encoding input data into a vector in a Hilbert space called the feature space and modeling the target function as a linear map on the feature space. Given a cost function, computing such an…

Quantum Physics · Physics 2022-10-18 Salman Beigi

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

The paper studies machine learning problems where each example is described using a set of Boolean features and where hypotheses are represented by linear threshold elements. One method of increasing the expressiveness of learned hypotheses…

Machine Learning · Computer Science 2011-09-13 R. Khardon , D. Roth , R. A. Servedio

Data stream mining, also known as stream learning, is a growing area which deals with learning from high-speed arriving data. Its relevance has surged recently due to its wide range of applicability, such as, critical infrastructure…

Machine Learning · Computer Science 2025-04-08 Kleanthis Malialis , Stylianos Filippou , Christos G. Panayiotou , Marios M. Polycarpou

Graphs are useful to interpret widely used image processing methods, e.g., bilateral filtering, or to develop new ones, e.g., kernel based techniques. However, simple graph constructions are often used, where edge weight and connectivity…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Sarath Shekkizhar , Antonio Ortega

In this paper we present a simple but powerful subgraph sampling primitive that is applicable in a variety of computational models including dynamic graph streams (where the input graph is defined by a sequence of edge/hyperedge insertions…

Data Structures and Algorithms · Computer Science 2015-05-08 Rajesh Chitnis , Graham Cormode , Hossein Esfandiari , MohammadTaghi Hajiaghayi , Andrew McGregor , Morteza Monemizadeh , Sofya Vorotnikova

Graph Neural Networks (GNNs) have demonstrated effectiveness in various graph-based tasks. However, their inefficiency in training and inference presents challenges for scaling up to real-world and large-scale graph applications. To address…

Machine Learning · Computer Science 2024-05-08 Lu Ma , Zeang Sheng , Xunkai Li , Xinyi Gao , Zhezheng Hao , Ling Yang , Wentao Zhang , Bin Cui

We present novel graph kernels for graphs with node and edge labels that have ordered neighborhoods, i.e. when neighbor nodes follow an order. Graphs with ordered neighborhoods are a natural data representation for evolving graphs where…

Machine Learning · Computer Science 2018-05-30 Moez Draief , Konstantin Kutzkov , Kevin Scaman , Milan Vojnovic

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

Graph kernels have attracted a lot of attention during the last decade, and have evolved into a rapidly developing branch of learning on structured data. During the past 20 years, the considerable research activity that occurred in the…

Machine Learning · Statistics 2021-11-25 Giannis Nikolentzos , Giannis Siglidis , Michalis Vazirgiannis

The Kernel Polynomial Method (KPM) is one of the fast diagonalization methods used for simulations of quantum systems in research fields of condensed matter physics and chemistry. The algorithm has a difficulty to be parallelized on a…

Computational Physics · Physics 2011-05-30 Shixun Zhang , Shinichi Yamagiwa , Masahiko Okumura , Seiji Yunoki

One approach to improving the running time of kernel-based machine learning methods is to build a small sketch of the input and use it in lieu of the full kernel matrix in the machine learning task of interest. Here, we describe a version…

Machine Learning · Statistics 2015-11-10 Ahmed El Alaoui , Michael W. Mahoney

For a deep learning model, efficient execution of its computation graph is key to achieving high performance. Previous work has focused on improving the performance for individual nodes of the computation graph, while ignoring the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Linpeng Tang , Yida Wang , Theodore L. Willke , Kai Li

Nowadays, the coupling of electronic structure and machine learning techniques serves as a powerful tool to predict chemical and physical properties of a broad range of systems. With the aim of improving the accuracy of predictions, a large…

Within the context of Graph Signal Processing (GSP), Graph Learning (GL) is concerned with the inference of the graph's underlying structure from nodal observations. However, real-world data often contains diverse information, necessitating…

Signal Processing · Electrical Eng. & Systems 2023-11-08 Mohamad H. Alizade , Aref Einizade , Jhony H. Giraldo

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo