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A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a…

机器学习 · 计算机科学 2012-06-22 Akiko Takeda , Hiroyuki Mitsugi , Takafumi Kanamori

The field of Astronomy requires the collection and assimilation of vast volumes of data. The data handling and processing problem has become severe as the sheer volume of data produced by scientific instruments each night grows…

机器学习 · 计算机科学 2020-10-05 Aniruddh Herle , Janamejaya Channegowda , Dinakar Prabhu

We study the problem of estimating an unknown deterministic signal that is observed through an unknown deterministic data matrix under additive noise. In particular, we present a minimax optimization framework to the least squares problems,…

系统与控制 · 计算机科学 2014-04-28 N. Denizcan Vanli , Mehmet A. Donmez , Suleyman S. Kozat

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

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

统计方法学 · 统计学 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

Due to the rise of cardinality minimization in optimization, sparse support vector machines (SSVMs) have attracted much attention lately and show certain empirical advantages over convex SVMs. A common way to derive an SSVM is to add a…

机器学习 · 计算机科学 2026-01-29 Penghe Zhang , Naihua Xiu , Houduo Qi

This paper examines the efficacy of different optimization techniques in a primal formulation of a support vector machine (SVM). Three main techniques are compared. The dataset used to compare all three techniques was the Sentiment Analysis…

机器学习 · 计算机科学 2014-07-01 Jonathan Katzman , Diane Duros

Partially linear additive models generalize linear ones since they model the relation between a response variable and covariates by assuming that some covariates have a linear relation with the response but each of the others enter through…

统计方法学 · 统计学 2023-08-08 Graciela Boente , Alejandra Mercedes Martinez

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

The growing size of modern data brings many new challenges to existing statistical inference methodologies and theories, and calls for the development of distributed inferential approaches. This paper studies distributed inference for…

机器学习 · 统计学 2019-10-01 Xiaozhou Wang , Zhuoyi Yang , Xi Chen , Weidong Liu

Support vector machines (SVMs) rely on the inherent geometry of a data set to classify training data. Because of this, we believe SVMs are an excellent candidate to guide the development of an analytic feature selection algorithm, as…

机器学习 · 计算机科学 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer

In most papers establishing consistency for learning algorithms it is assumed that the observations used for training are realizations of an i.i.d. process. In this paper we go far beyond this classical framework by showing that support…

机器学习 · 统计学 2007-07-04 Ingo Steinwart , Don Hush , Clint Scovel

Dropout and other feature noising schemes have shown promising results in controlling over-fitting by artificially corrupting the training data. Though extensive theoretical and empirical studies have been performed for generalized linear…

机器学习 · 计算机科学 2015-08-11 Ning Chen , Jun Zhu , Jianfei Chen , Ting Chen

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

量子物理 · 物理学 2017-10-31 Rupak Chatterjee , Ting Yu

We consider the problem of learning a classifier from observed functional data. Here, each data-point takes the form of a single time-series and contains numerous features. Assuming that each such series comes with a binary label, the…

机器学习 · 计算机科学 2020-02-25 Kristiaan Pelckmans , Hong-Li Zeng

High-dimensional compositional data are commonplace in the modern omics sciences amongst others. Analysis of compositional data requires a proper choice of orthonormal coordinate representation as their relative nature is not compatible…

Support Vector Machines (SVM) with $\ell_1$ penalty became a standard tool in analysis of highdimensional classification problems with sparsity constraints in many applications including bioinformatics and signal processing. Although SVM…

信息论 · 计算机科学 2015-09-29 Anton Kolleck , Jan Vybíral

Support vector machines represent a promising development in machine learning research that is not widely used within the remote sensing community. This paper reports the results of Multispectral(Landsat-7 ETM+) and Hyperspectral DAIS)data…

神经与进化计算 · 计算机科学 2009-11-13 Mahesh Pal , Paul M. Mather

In functional linear regression, the parameters estimation involves solving a non necessarily well-posed problem and it has points of contact with a range of methodologies, including statistical smoothing, deconvolution and projection on…

统计理论 · 数学 2018-01-04 Andrea Ghiglietti , Francesca Ieva , Anna Maria Paganoni , Giacomo Aletti

A large class of spatial models contains intractable normalizing functions, such as spatial lattice models, interaction spatial point processes, and social network models. Bayesian inference for such models is challenging since the…

统计方法学 · 统计学 2026-01-05 Jong Hyeon Lee , Jongmin Kim , Heesang Lee , Jaewoo Park
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