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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

Grounded theory (GT) is a qualitative research method for building theory grounded in data. GT uses textual and numeric data and follows various stages of coding or tagging data for sense-making, such as open coding and selective coding.…

Computation and Language · Computer Science 2020-03-31 Bell Raj Eapen , Norm Archer , Kamran Sartipi

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

Machine Learning · Statistics 2010-01-25 Xiao Tang , Mu Zhu

Kernel methods are used extensively in classical machine learning, especially in the field of pattern analysis. In this paper, we propose a kernel-based quantum machine learning algorithm that can be implemented on a near-term, intermediate…

Quantum Physics · Physics 2019-06-11 Roohollah Ghobadi , Jaspreet S. Oberoi , Ehsan Zahedinejhad

Since the entry of kernel theory in the field of quantum machine learning, quantum kernel methods (QKMs) have gained increasing attention with regard to both probing promising applications and delivering intriguing research insights.…

Quantum Physics · Physics 2025-04-29 Jan Schnabel , Marco Roth

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…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Pan Ji , Ian Reid , Ravi Garg , Hongdong Li , Mathieu Salzmann

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

Machine Learning · Computer Science 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

We introduce property-independent kernels for machine learning modeling of arbitrarily many molecular properties. The kernels encode molecular structures for training sets of varying size, as well as similarity measures sufficiently diffuse…

Chemical Physics · Physics 2015-03-18 Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Recommender systems are a critical component of e-commercewebsites. The rapid development of online social networking services provides an opportunity to explore social networks together with information used in traditional recommender…

Social and Information Networks · Computer Science 2024-12-18 Xin Li , Mengyue Wang , T. -P. Liang

Recurrent neural networks (RNNs) are a cornerstone of sequence modeling across various scientific and industrial applications. Owing to their versatility, numerous RNN variants have been proposed over the past decade, aiming to improve the…

Machine Learning · Computer Science 2025-10-27 Francesco Martinuzzi

This paper describes the autofeat Python library, which provides scikit-learn style linear regression and classification models with automated feature engineering and selection capabilities. Complex non-linear machine learning models, such…

Machine Learning · Computer Science 2020-02-27 Franziska Horn , Robert Pack , Michael Rieger

Pattern mining is well established in data mining research, especially for mining binary datasets. Surprisingly, there is much less work about numerical pattern mining and this research area remains under-explored. In this paper, we propose…

Databases · Computer Science 2020-12-01 Tatiana Makhalova , Sergei O. Kuznetsov , Amedeo Napoli

This book provides a comprehensive introduction to the foundational concepts of machine learning (ML) and deep learning (DL). It bridges the gap between theoretical mathematics and practical application, focusing on Python as the primary…

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

Optimization and Control · Mathematics 2025-01-27 Vladimir Norkin , Alois Pichler

YAMLE: Yet Another Machine Learning Environment is an open-source framework that facilitates rapid prototyping and experimentation with machine learning (ML) models and methods. The key motivation is to reduce repetitive work when…

Machine Learning · Computer Science 2024-02-12 Martin Ferianc , Miguel Rodrigues

PyArmadillo is a linear algebra library for the Python language, with the aim of closely mirroring the programming interface of the widely used Armadillo C++ library, which in turn is deliberately similar to Matlab. PyArmadillo hence…

Mathematical Software · Computer Science 2021-10-22 Jason Rumengan , Terry Yue Zhuo , Conrad Sanderson

Quantum kernel methods are a promising method in quantum machine learning thanks to the guarantees connected to them. Their accessibility for analytic considerations also opens up the possibility of prescreening datasets based on their…

Quantum Physics · Physics 2024-08-05 Sebastian Egginger , Alona Sakhnenko , Jeanette Miriam Lorenz

Domain specific (dis-)similarity or proximity measures used e.g. in alignment algorithms of sequence data, are popular to analyze complex data objects and to cover domain specific data properties. Without an underlying vector space these…

Data Structures and Algorithms · Computer Science 2014-11-07 Andrej Gisbrecht , Frank-Michael Schleif

Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

Machine Learning · Computer Science 2026-02-19 Jiang Yuhan , Matthew Otten

Since their emergence in the 1990's, the support vector machine and the AdaBoost algorithm have spawned a wave of research in statistical machine learning. Much of this new research falls into one of two broad categories: kernel methods and…

Methodology · Statistics 2008-04-15 Mu Zhu