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We present DCSVM, an efficient algorithm for multi-class classification using Support Vector Machines. DCSVM is a divide and conquer algorithm which relies on data sparsity in high dimensional space and performs a smart partitioning of the…

Machine Learning · Computer Science 2018-10-24 Duleep Rathgamage Don , Ionut E. Iacob

Dark matter structures within strong gravitational lens galaxies and along their line of sight leave a gravitational imprint on the multiple images of lensed sources. Strong gravitational lensing provides, therefore, a key test of different…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-22 S. Vegetti , S. Birrer , G. Despali , C. D. Fassnacht , D. Gilman , Y. Hezaveh , L. Perreault Levasseur , J. P. McKean , D. M. Powell , C. M. O'Riordan , G. Vernardos

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

The unprecedented number of gravitational lenses expected from new-generation facilities such as the ESA Euclid telescope and the Vera Rubin Observatory makes it crucial to rethink our classical approach to lens-modelling. In this paper, we…

Instrumentation and Methods for Astrophysics · Physics 2023-05-10 Fabrizio Gentile , Crescenzo Tortora , Giovanni Covone , Léon V. E. Koopmans , Rui Li , Laura Leuzzi , Nicola R. Napolitano

Support Vector Machines (SVMs) are a cornerstone of supervised learning, widely used for data classification. A central component of their success lies in kernel functions, which enable efficient computation of inner products in…

Quantum Physics · Physics 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Kernel-based support vector machines (SVMs) are supervised machine learning algorithms for classification and regression problems. We introduce a method to train SVMs on a D-Wave 2000Q quantum annealer and study its performance in…

Machine Learning · Computer Science 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

Kernel-based machine learning algorithms are based on mapping data from the original input feature space to a kernel feature space of higher dimensionality to solve a linear problem in that space. Over the last decade, kernel based…

Computer Vision and Pattern Recognition · Computer Science 2011-01-18 Mahesh Pal

We investigate the potential of weak gravitational lensing maps to differentiate between distinct cosmological models, considering cosmic variance due to a limited map extension and the presence of noise. We introduce a measure of the…

Astrophysics · Physics 2009-11-07 Antonio Guimarães

Galaxy-scale strong gravitational lenses are valuable objects for a variety of astrophysical and cosmological applications. Strong lensing galaxies are rare, so efficient search methods, such as convolutional neural networks, are often used…

Astrophysics of Galaxies · Physics 2025-02-17 Yuichiro Ishida , Kenneth C. Wong , Anton T. Jaelani , Anupreeta More

The search of the new physics~(NP) beyond the Standard Model is one of the most important topics in current high energy physics. With the increasing luminosities at the colliders, the search for NP signals requires the analysis of more and…

High Energy Physics - Phenomenology · Physics 2024-08-26 Shuai Zhang , Yu-Chen Guo , Ji-Chong Yang

Band selection is a great challenging task in the classification of hyperspectral remotely sensed images HSI. This is resulting from its high spectral resolution, the many class outputs and the limited number of training samples. For this…

Computer Vision and Pattern Recognition · Computer Science 2022-10-28 Hasna Nhaila , Asma Elmaizi , Elkebir Sarhrouni , Ahmed Hammouch

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

Strong gravitational lensing is a promising probe of the substructure of dark matter halos. Deep learning methods have the potential to accurately identify images containing substructure, and differentiate WIMP dark matter from other well…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-09 Stephon Alexander , Sergei Gleyzer , Evan McDonough , Michael W. Toomey , Emanuele Usai

We apply a state-of-the-art transformer algorithm to 221 deg$^2$ of the Kilo Degree Survey (KiDS) to search for new strong gravitational lenses (SGL). We test four transformer encoders trained on simulated data from the Strong Lens Finding…

In this study, we introduce an innovative Quantum-enhanced Support Vector Machine (QSVM) approach for stellar classification, leveraging the power of quantum computing and GPU acceleration. Our QSVM algorithm significantly surpasses…

Quantum Physics · Physics 2023-11-22 Kuan-Cheng Chen , Xiaotian Xu , Henry Makhanov , Hui-Hsuan Chung , Chen-Yu Liu

Robust Support Vector Machines (R-SVMs) address feature noise by adopting a worst-case robust formulation that explicitly incorporates uncertainty sets into training. While this robustness improves reliability, it also leads to increased…

Machine Learning · Computer Science 2026-03-27 Tan-Hau Nguyen , Thu-Le Tran , Kien Trung Nguyen

Gravitational lensing offers a powerful probe into the properties of dark matter and is crucial to infer cosmological parameters. The Legacy Survey of Space and Time (LSST) is predicted to find O(10^5) gravitational lenses over the next…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 René Parlange , Juan C. Cuevas-Tello , Octavio Valenzuela , Omar de J. Cabrera-Rosas , Tomás Verdugo , Anupreeta More , Anton T. Jaelani

For binary classification we establish learning rates up to the order of $n^{-1}$ for support vector machines (SVMs) with hinge loss and Gaussian RBF kernels. These rates are in terms of two assumptions on the considered distributions:…

Statistics Theory · Mathematics 2007-08-22 Ingo Steinwart , Clint Scovel

This paper proposes a frequent pattern data mining algorithm based on support vector machine (SVM), aiming to solve the performance bottleneck of traditional frequent pattern mining algorithms in high-dimensional and sparse data…

Machine Learning · Computer Science 2024-12-23 Pochun Li

Document classification is a task of assigning a new unclassified document to one of the predefined set of classes. The content based document classification uses the content of the document with some weighting criteria to assign it to one…

Information Retrieval · Computer Science 2013-01-15 Muhammad Rafi , Mohammad Shahid Shaikh