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Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

Machine Learning · Statistics 2016-03-14 Rein Houthooft , Filip De Turck

This paper focuses on variable selection for a partially linear single-index varying-coefficient model. A regularized variable selection procedure by combining basis function approximations with SCAD penalty is proposed. It can…

Statistics Theory · Mathematics 2024-12-19 Lijuan Han , Liugen Xue , Junshan Xie

Penalized regression has become a standard tool for model building across a wide range of application domains. Common practice is to tune the amount of penalization to tradeoff bias and variance or to optimize some other measure of…

Methodology · Statistics 2018-04-05 Wenhao Hu , Eric Laber , Leonard Stefanski

Transductive SVM (TSVM) is a well known semi-supervised large margin learning method for binary text classification. In this paper we extend this method to multi-class and hierarchical classification problems. We point out that the…

Machine Learning · Computer Science 2012-11-02 Sathiya Keerthi Selvaraj , Sundararajan Sellamanickam , Shirish Shevade

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

Machine Learning · Computer Science 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

Support matrix machine (SMM) is a successful supervised classification model for matrix-type samples. Unlike support vector machines, it employs low-rank regularization on the regression matrix to effectively capture the intrinsic structure…

Optimization and Control · Mathematics 2024-12-12 Can Wu , Dong-Hui Li , Defeng Sun

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…

Machine Learning · Computer Science 2015-12-25 Hugh Perkins , Minjie Xu , Jun Zhu , Bo Zhang

Class imbalance is one of the challenging problems for machine learning in many real-world applications, such as coal and gas burst accident monitoring: the burst premonition data is extreme smaller than the normal data, however, which is…

Machine Learning · Computer Science 2017-02-07 Qiuyan Yan , Shixiong Xia , Fanrong Meng

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lasso-type penalty for linear part, as well as the standard…

Statistics Theory · Mathematics 2020-06-08 Yifan Xia , Yongchao Hou , Shaogao Lv

Effective suppression of surface-related multiples is essential to prevent imaging artifacts and erroneous structural interpretations. While conventional approaches rely on accurate priors or subsurface model knowledge, and supervised…

Geophysics · Physics 2026-05-01 Huan Song , Shijun Cheng , Huanhuan Tang , Wei Ouyang , Weijian Mao

The binomial deviance and the SVM hinge loss functions are two of the most widely used loss functions in machine learning. While there are many similarities between them, they also have their own strengths when dealing with different types…

Machine Learning · Statistics 2022-05-25 Man Huang , Luis Carvalho

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

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

Optimization and Control · Mathematics 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

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…

Machine Learning · Computer Science 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer

The alternating direction method of multipliers (ADMM) has been widely adopted in low-rank approximation and low-order model identification tasks; however, the performance of nonconvex ADMM is highly reliant on the choice of penalty…

Optimization and Control · Mathematics 2023-09-11 Qingyuan Liu , Zhengchao Huang , Hao Ye , Dexian Huang , Chao Shang

Support Vector Machines (SVMs) are among the most fundamental tools for binary classification. In its simplest formulation, an SVM produces a hyperplane separating two classes of data using the largest possible margin to the data. The focus…

Machine Learning · Computer Science 2020-06-04 Allan Grønlund , Lior Kamma , Kasper Green Larsen

This article investigates unsupervised classification techniques for categorical multivariate data. The study employs multivariate multinomial mixture modeling, which is a type of model particularly applicable to multilocus genotypic data.…

Statistics Theory · Mathematics 2014-03-11 Dominique Bontemps , Wilson Toussile

The time complexity of support vector machines (SVMs) prohibits training on huge data sets with millions of data points. Recently, multilevel approaches to train SVMs have been developed to allow for time-efficient training on huge data…

Machine Learning · Computer Science 2020-01-29 Sebastian Schlag , Matthias Schmitt , Christian Schulz

We describe a novel binary classification technique called Banded SVM (B-SVM). In the standard C-SVM formulation of Cortes et al. (1995), the decision rule is encouraged to lie in the interval [1, \infty]. The new B-SVM objective function…

Machine Learning · Statistics 2011-07-13 Gautam V. Pendse