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Applications of non-linear kernel Support Vector Machines (SVMs) to large datasets is seriously hampered by its excessive training time. We propose a modification, called the approximate extreme points support vector machine (AESVM), that…

机器学习 · 计算机科学 2013-04-05 Manu Nandan , Pramod P. Khargonekar , Sachin S. Talathi

Virtual machine consolidation describes the process of reallocation of virtual machines (VMs) on a set of target servers. It can be formulated as a mixed integer linear programming problem which is proven to be an NP-hard problem. In this…

最优化与控制 · 数学 2022-12-29 Jiang-Yao Luo , Jian-Hua Yuan

Large Language Models (LLMs) are widely used across various domains, processing millions of daily requests. This surge in demand poses significant challenges in optimizing throughput and latency while keeping costs manageable. The Key-Value…

分布式、并行与集群计算 · 计算机科学 2024-07-23 Jiale Xu , Rui Zhang , Cong Guo , Weiming Hu , Zihan Liu , Feiyang Wu , Yu Feng , Shixuan Sun , Changxu Shao , Yuhong Guo , Junping Zhao , Ke Zhang , Minyi Guo , Jingwen Leng

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

最优化与控制 · 数学 2025-07-15 Francesca Maggioni , Andrea Spinelli

Large Language Model (LLM) inference, where a trained model generates text one word at a time in response to user prompts, is a computationally intensive process requiring efficient scheduling to optimize latency and resource utilization. A…

机器学习 · 计算机科学 2026-01-16 Patrick Jaillet , Jiashuo Jiang , Konstantina Mellou , Marco Molinaro , Chara Podimata , Zijie Zhou

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

机器学习 · 计算机科学 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

In this paper, we propose an optimization selection methodology for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. We propose two models that attempt to identify the major performance bottleneck of the kernel for every…

性能 · 计算机科学 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

Kernel methods are a highly effective and widely used collection of modern machine learning algorithms. A fundamental limitation of virtually all such methods are computations involving the kernel matrix that naively scale quadratically…

机器学习 · 计算机科学 2021-06-09 John Paul Ryan , Sebastian Ament , Carla P. Gomes , Anil Damle

Training a Support Vector Machine (SVM) requires the solution of a quadratic programming problem (QP) whose computational complexity becomes prohibitively expensive for large scale datasets. Traditional optimization methods cannot be…

机器学习 · 计算机科学 2014-01-29 Emanuele Frandi , Ricardo Nanculef , Maria Grazia Gasparo , Stefano Lodi , Claudio Sartori

In this paper we propose a new non-linear classifier based on a combination of locally linear classifiers. A well known optimization formulation is given as we cast the problem in a $\ell_1$ Multiple Kernel Learning (MKL) problem using many…

机器学习 · 计算机科学 2024-01-19 David Picard

In recent years, quantum computers have emerged as promising candidates for implementing kernels. Quantum Embedding Kernels embed data points into quantum states and calculate their inner product in a high-dimensional Hilbert Space by…

量子物理 · 物理学 2025-02-13 Rodrigo Coelho , Georg Kruse , Andreas Rosskopf

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

机器学习 · 计算机科学 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

One of the most challenging problems in kernel online learning is to bound the model size and to promote the model sparsity. Sparse models not only improve computation and memory usage, but also enhance the generalization capacity, a…

机器学习 · 计算机科学 2017-05-30 Trung Le , Tu Dinh Nguyen , Vu Nguyen , Dinh Phung

Motivated by the problem of learning with small sample sizes, this paper shows how to incorporate into support-vector machines (SVMs) those properties that have made convolutional neural networks (CNNs) successful. Particularly important is…

机器学习 · 计算机科学 2022-10-25 Tao Liu , P. R. Kumar , Ruida Zhou , Xi Liu

The support vector machines (SVM) is one of the most widely used and practical optimization based classification models in machine learning because of its interpretability and flexibility to produce high quality results. However, the big…

机器学习 · 计算机科学 2020-11-06 Ehsan Sadrfaridpour , Korey Palmer , Ilya Safro

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…

量子物理 · 物理学 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Support vector machine (SVM) training is an active research area since the dawn of the method. In recent years there has been increasing interest in specialized solvers for the important case of linear models. The algorithm presented by…

机器学习 · 统计学 2013-02-25 Tobias Glasmachers , Ürün Dogan

Ensemble methods such as boosting combine multiple learners to obtain better prediction than could be obtained from any individual learner. Here we propose a principled framework for directly constructing ensemble learning methods from…

机器学习 · 计算机科学 2014-01-07 Chunhua Shen , Fayao Liu

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

量子物理 · 物理学 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd