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We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

机器学习 · 计算机科学 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith

Many supervised learning tasks have intrinsic symmetries, such as translational and rotational symmetry in image classifications. These symmetries can be exploited to enhance performance. We formulate the symmetry constraints into a concise…

量子物理 · 物理学 2024-08-14 Kaiming Bian , Shitao Zhang , Fei Meng , Wen Zhang , Oscar Dahlsten

Understanding the bottlenecks in implementing stochastic gradient descent (SGD)-based distributed support vector machines (SVM) algorithm is important in training larger data sets. The communication time to do the model synchronization…

分布式、并行与集群计算 · 计算机科学 2019-05-06 Vibhatha Abeykoon , Geoffrey Fox , Minje Kim

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

机器学习 · 计算机科学 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

机器学习 · 统计学 2023-01-31 Peter Mills

Foundation models are typically trained at a fixed computational capacity, while real-world applications require deployment across platforms with different resource constraints. Current approaches usually rely on training families of model…

机器学习 · 计算机科学 2026-02-10 Dachuan Song , Xuan Wang

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…

机器学习 · 计算机科学 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

We present an efficient coreset construction algorithm for large-scale Support Vector Machine (SVM) training in Big Data and streaming applications. A coreset is a small, representative subset of the original data points such that a models…

机器学习 · 计算机科学 2020-02-18 Murad Tukan , Cenk Baykal , Dan Feldman , Daniela Rus

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

机器学习 · 计算机科学 2024-10-10 Junbo Jacob Lian

We address the issue of using mini-batches in stochastic optimization of SVMs. We show that the same quantity, the spectral norm of the data, controls the parallelization speedup obtained for both primal stochastic subgradient descent (SGD)…

机器学习 · 计算机科学 2013-03-12 Martin Takáč , Avleen Bijral , Peter Richtárik , Nathan Srebro

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

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…

机器学习 · 计算机科学 2024-12-23 Pochun Li

In this paper, we consider the binary classification problem via distributed Support-Vector-Machines (SVM), where the idea is to train a network of agents, with limited share of data, to cooperatively learn the SVM classifier for the global…

系统与控制 · 电气工程与系统科学 2021-04-02 Mohammadreza Doostmohammadian , Alireza Aghasi , Themistoklis Charalambous , Usman A. Khan

Support Vector Machine (SVM) is powerful classification technique based on the idea of structural risk minimization. Use of kernel function enables curse of dimensionality to be addressed. However, proper kernel function for certain problem…

机器学习 · 计算机科学 2014-03-04 Arindam Chaudhuri

Machine learning and quantum computing are two technologies each with the potential for altering how computation is performed to address previously untenable problems. Kernel methods for machine learning are ubiquitous for pattern…

Dual ascent (DA) and the method of multipliers (MM) are fundamental methods for solving linear equality-constrained convex optimization problems, and their dual updates can be viewed as the minimization of a proximal linear surrogate…

最优化与控制 · 数学 2025-11-19 Zhuoqing Zheng , Tao Liu , Xuyang Wu

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

The parameters of support vector machines (SVMs) such as the penalty parameter and the kernel parameters have a great impact on the classification accuracy and the complexity of the SVM model. Therefore, the model selection in SVM involves…

机器学习 · 计算机科学 2020-07-13 Alaa Tharwat

Support vector machine (SVM) is a particularly powerful and flexible supervised learning model that analyzes data for both classification and regression, whose usual algorithm complexity scales polynomially with the dimension of data space…

机器学习 · 计算机科学 2023-03-08 Chen Ding , Tian-Yi Bao , He-Liang Huang

Although Support Vector Machine (SVM) algorithm has a high generalization property to classify for unseen examples after training phase and it has small loss value, the algorithm is not suitable for real-life classification and regression…

机器学习 · 计算机科学 2013-12-17 Ferhat Özgür Çatak , Mehmet Erdal Balaban