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We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then…

数值分析 · 数学 2014-12-30 Hua Xiang , Jun Zou

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.…

人工智能 · 计算机科学 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

Unraveling the reasons behind the remarkable success and exceptional generalization capabilities of deep neural networks presents a formidable challenge. Recent insights from random matrix theory, specifically those concerning the spectral…

机器学习 · 统计学 2023-04-10 Xuanzhe Xiao , Zeng Li , Chuanlong Xie , Fengwei Zhou

Semi-supervised learning approaches have emerged as an active area of research to combat the challenge of obtaining large amounts of annotated data. Towards the goal of improving the performance of semi-supervised learning methods, we…

计算机视觉与模式识别 · 计算机科学 2021-12-22 Ashima Garg , Shaurya Bagga , Yashvardhan Singh , Saket Anand

Scientific visualization tools tend to be flexible in some ways (e.g., for exploring isovalues) while restricted in other ways, such as working only on regular grids, or only on unstructured meshes (as used in the finite element method,…

图形学 · 计算机科学 2020-12-29 Teodoro Collin , Charisee Chiw , L. Ridgway Scott , John Reppy , Gordon L. Kindlmann

In this paper, we develop a decision support system for the hierarchical text classification. We consider text collections with a fixed hierarchical structure of topics given by experts in the form of a tree. The system sorts the topics by…

机器学习 · 计算机科学 2024-06-24 Arsentii Kuzmin , Alexander Aduenko , Vadim Strijov

This article proposes a performance analysis of kernel least squares support vector machines (LS-SVMs) based on a random matrix approach, in the regime where both the dimension of data $p$ and their number $n$ grow large at the same rate.…

机器学习 · 统计学 2016-09-09 Zhenyu Liao , Romain Couillet

In the last few years, due to the growing ubiquity of unlabeled data, much effort has been spent by the machine learning community to develop better understanding and improve the quality of classifiers exploiting unlabeled data. Following…

机器学习 · 统计学 2009-09-30 Stefano Melacci , Mikhail Belkin

Support Vector Machines (SVMs) were primarily designed for 2-class classification. But they have been extended for N-class classification also based on the requirement of multiclasses in the practical applications. Although N-class…

机器学习 · 计算机科学 2015-12-03 Aruna Govada , Bhavul Gauri , S. K. Sahay

We introduce stratified labelings as a novel semantical approach to abstract argumentation frameworks. Compared to standard labelings, stratified labelings provide a more fine-grained assessment of the controversiality of arguments using…

人工智能 · 计算机科学 2013-08-06 Matthias Thimm , Gabriele Kern-Isberner

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

Many modern multiclass and multilabel problems are characterized by increasingly large output spaces. For these problems, label embeddings have been shown to be a useful primitive that can improve computational and statistical efficiency.…

机器学习 · 计算机科学 2015-07-07 Paul Mineiro , Nikos Karampatziakis

The support vector machine (SVM) is a supervised learning algorithm that finds a maximum-margin linear classifier, often after mapping the data to a high-dimensional feature space via the kernel trick. Recent work has demonstrated that in…

机器学习 · 统计学 2026-04-16 Chiraag Kaushik , Andrew D. McRae , Mark A. Davenport , Vidya Muthukumar

As one of the most popular classifiers, linear SVMs still have challenges in dealing with very large-scale problems, even though linear or sub-linear algorithms have been developed recently on single machines. Parallel computing methods…

机器学习 · 计算机科学 2015-12-25 Hugh Perkins , Minjie Xu , Jun Zhu , Bo Zhang

This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function. Given points in a domain, a tree structure is first…

数值分析 · 数学 2017-05-17 Difeng Cai , Edmond Chow , Yousef Saad , Yuanzhe Xi

The focus of this paper is on the evaluation of sixteen labeling methods for hierarchical document clusters over five datasets. All of the methods are independent from clustering algorithms, applied subsequently to the dendrogram…

信息检索 · 计算机科学 2018-05-28 Maria Fernanda Moura , Fabiano Fernandes dos Santos , Solange Oliveira Rezende

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

数据结构与算法 · 计算机科学 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

We introduce an efficient method for training the linear ranking support vector machine. The method combines cutting plane optimization with red-black tree based approach to subgradient calculations, and has O(m*s+m*log(m)) time complexity,…

机器学习 · 统计学 2022-02-07 Antti Airola , Tapio Pahikkala , Tapio Salakoski

We propose a novel integrated formulation for multiclass and multilabel support vector machines (SVMs). A number of approaches have been proposed to extend the original binary SVM to an all-in-one multiclass SVM. However, its direct…

机器学习 · 计算机科学 2020-03-26 Hoda Shajari , Anand Rangarajan

Disease classification is a crucial element of biomedical research. Recent studies have demonstrated that machine learning techniques, such as Support Vector Machine (SVM) modeling, produce similar or improved predictive capabilities in…

机器学习 · 统计学 2017-08-02 Jessica M. Rudd