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Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

Optimization and Control · Mathematics 2021-04-27 Shenglong Zhou

Quadratic programming is a ubiquitous prototype in convex programming. Many machine learning problems can be formulated as quadratic programming, including the famous Support Vector Machines (SVMs). Linear and kernel SVMs have been among…

Optimization and Control · Mathematics 2025-02-13 Yuzhou Gu , Zhao Song , Lichen Zhang

Support vector machines (SVMs) are an extremely successful type of classification and regression algorithms. Building an SVM entails solving a constrained convex quadratic programming problem, which is quadratic in the number of training…

Machine Learning · Computer Science 2008-11-15 Danny Bickson , Elad Yom-Tov , Danny Dolev

An importance sampling and bagging approach to solving the support vector machine (SVM) problem in the context of large databases is presented and evaluated. Our algorithm builds on the nearest neighbors ideas presented in Camelo at al.…

Machine Learning · Statistics 2018-08-20 R. Bárcenas , M. D. Gónzalez--Lima , A. J. Quiroz

There has been growing interest in extending traditional vector-based machine learning techniques to their tensor forms. An example is the support tensor machine (STM) that utilizes a rank-one tensor to capture the data structure, thereby…

Machine Learning · Computer Science 2018-04-18 Cong Chen , Kim Batselier , Ching-Yun Ko , Ngai Wong

Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

Machine Learning · Computer Science 2024-08-01 Di Zhang , Suvrajeet Sen

Selective state space models (SSMs) have rapidly become a compelling backbone for large language models, especially for long-context workloads. Yet in deployment, their inference performance is often bounded by the memory capacity,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Anurag Dutt , Nimit Shah , Hazem Masarani , Anshul Gandhi

The k-fold cross-validation is commonly used to evaluate the effectiveness of SVMs with the selected hyper-parameters. It is known that the SVM k-fold cross-validation is expensive, since it requires training k SVMs. However, little work…

Machine Learning · Computer Science 2017-02-07 Zeyi Wen , Bin Li , Rao Kotagiri , Jian Chen , Yawen Chen , Rui Zhang

The support vector machine (SVM) is a widely used method for classification. Although many efforts have been devoted to develop efficient solvers, it remains challenging to apply SVM to large-scale problems. A nice property of SVM is that…

Machine Learning · Computer Science 2013-10-29 Jie Wang , Peter Wonka , Jieping Ye

Support Vector Machine (SVM) is a state-of-the-art classification method widely used in science and engineering due to its high accuracy, its ability to deal with high dimensional data, and its flexibility in modeling diverse sources of…

Machine Learning · Computer Science 2024-09-30 Xingfu Wu , Tupendra Oli , Justin H. Qian , Valerie Taylor , Mark C. Hersam , Vinod K. Sangwan

The support vector machine (SVM) algorithm is well known to the computer learning community for its very good practical results. The goal of the present paper is to study this algorithm from a statistical perspective, using tools of…

Statistics Theory · Mathematics 2008-12-18 Gilles Blanchard , Olivier Bousquet , Pascal Massart

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

In conventional method, distributed support vector machines (SVM) algorithms are trained over pre-configured intranet/internet environments to find out an optimal classifier. These methods are very complicated and costly for large datasets.…

Machine Learning · Computer Science 2013-01-03 F. Ozgur Catak , M. Erdal Balaban

The purpose of this report is in examining the generalization performance of Support Vector Machines (SVM) as a tool for pattern recognition and object classification. The work is motivated by the growing popularity of the method that is…

Machine Learning · Computer Science 2014-12-16 Eugene Borovikov

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

Neurons and Cognition · Quantitative Biology 2022-05-31 Ran Rubin , Haim Sompolinsky

Support vector machines (SVMs) have been successful in solving many computer vision tasks including image and video category recognition especially for small and mid-scale training problems. The principle of these non-parametric models is…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Hichem Sahbi

Over the past two decades, support vector machine (SVM) has become a popular supervised machine learning model, and plenty of distinct algorithms are designed separately based on different KKT conditions of the SVM model for…

Machine Learning · Computer Science 2022-04-04 Zhou Shuisheng , Zhou Wendi

This paper presents the impact of using quantization on the efficiency of multi-class text classification in the training process of a support vector machine (SVM). This work is focused on comparing the efficiency of SVM model trained using…

Machine Learning · Computer Science 2020-07-20 Dominik Żurek , Marcin Pietroń

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

Support Vector Machines (SVM) have gathered significant acclaim as classifiers due to their successful implementation of Statistical Learning Theory. However, in the context of multiclass and multilabel settings, the reliance on…

Machine Learning · Computer Science 2023-07-19 Sambhav Jain Reshma Rastogi