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In this paper, a new approach for classification of target task using limited labeled target data as well as enormous unlabeled source data is proposed which is called self-taught learning. The target and source data can be drawn from…

Computer Vision and Pattern Recognition · Computer Science 2017-10-13 Parvin Razzaghi

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

Optimization and Control · Mathematics 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered…

Optimization and Control · Mathematics 2021-07-15 Alfredo Marín , Luisa I. Martínez-Merino , Justo Puerto , Antonio M. Rodríguez-Chía

P-splines are penalized B-splines, in which finite order differences in coefficients are typically penalized with an $\ell_2$ norm. P-splines can be used for semiparametric regression and can include random effects to account for…

Methodology · Statistics 2018-11-01 Brian D. Segal , Michael R. Elliott , Thomas Braun , Hui Jiang

The Sorted L-One Estimator (SLOPE) is a popular regularization method in regression, which induces clustering of the estimated coefficients. That is, the estimator can have coefficients of identical magnitude. In this paper, we derive an…

Statistics Theory · Mathematics 2023-04-17 Ivan Hejný , Jonas Wallin , Małgorzata Bogdan

We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group. We compare the sHDP…

Machine Learning · Statistics 2014-12-18 Andrew M. Dai , Amos J. Storkey

In the weakly supervised learning paradigm, labeling functions automatically assign heuristic, often noisy, labels to data samples. In this work, we provide a method for learning from weak labels by separating two types of complementary…

Machine Learning · Computer Science 2022-10-26 Andreas Stephan , Vasiliki Kougia , Benjamin Roth

This paper addresses the pattern classification problem arising when available target data include some uncertainty information. Target data considered here is either qualitative (a class label) or quantitative (an estimation of the…

Machine Learning · Computer Science 2011-06-20 Emilie Niaf , Rémi Flamary , Carole Lartizien , Stéphane Canu

We consider the empirical risk minimization problem for linear supervised learning, with regularization by structured sparsity-inducing norms. These are defined as sums of Euclidean norms on certain subsets of variables, extending the usual…

Machine Learning · Statistics 2011-11-23 Rodolphe Jenatton , Jean-Yves Audibert , Francis Bach

This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and the difference $\de$ of the mean vectors, we…

Methodology · Statistics 2011-07-19 Tony Cai , Weidong Liu

In this paper, we propose a semi-supervised dictionary learning method that uses both the information in labelled and unlabelled data and jointly trains a linear classifier embedded on the sparse codes. The manifold structure of the data in…

Machine Learning · Computer Science 2018-12-12 Khanh-Hung Tran , Fred-Maurice Ngole-Mboula , Jean-Luc Starck

We propose a stochastic approximation (SA) based method with randomization of samples for policy evaluation using the least squares temporal difference (LSTD) algorithm. Our proposed scheme is equivalent to running regular temporal…

Machine Learning · Computer Science 2020-01-27 L. A. Prashanth , Nathaniel Korda , Rémi Munos

Large amounts of labeled data are typically required to train deep learning models. For many real-world problems, however, acquiring additional data can be expensive or even impossible. We present semi-supervised deep kernel learning…

Machine Learning · Computer Science 2019-03-05 Neal Jean , Sang Michael Xie , Stefano Ermon

We present a novel approach to the formulation and the resolution of sparse Linear Discriminant Analysis (LDA). Our proposal, is based on penalized Optimal Scoring. It has an exact equivalence with penalized LDA, contrary to the multi-class…

Machine Learning · Computer Science 2012-07-03 Luis Francisco Sanchez Merchante , Yves Grandvalet , Gerrad Govaert

We consider a linear regression problem in a high dimensional setting where the number of covariates $p$ can be much larger than the sample size $n$. In such a situation, one often assumes sparsity of the regression vector, \textit i.e.,…

Statistics Theory · Mathematics 2011-10-12 Mohamed Hebiri , Sara A. Van De Geer

Support vector data description (SVDD) is a popular technique for detecting anomalies. The SVDD classifier partitions the whole space into an inlier region, which consists of the region near the training data, and an outlier region, which…

Machine Learning · Computer Science 2018-07-23 Arin Chaudhuri , Deovrat Kakde , Carol Sadek , Laura Gonzalez , Seunghyun Kong

Though many deep learning (DL)-based vulnerability detection approaches have been proposed and indeed achieved remarkable performance, they still have limitations in the generalization as well as the practical usage. More precisely,…

Software Engineering · Computer Science 2023-08-23 Chao Ni , Xin Yin , Kaiwen Yang , Dehai Zhao , Zhenchang Xing , Xin Xia

A new algorithm is presented for solving the soft-margin Support Vector Machine (SVM) optimization problem with an $\ell^{1}$ penalty. This algorithm is designed to require a modest number of passes over the data, which is an important…

Optimization and Control · Mathematics 2018-08-23 Jeffrey Hajewski , Suely Oliveira , David E. Stewart

We consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in…

Optimization and Control · Mathematics 2025-04-08 Dan Garber , Atara Kaplan

Tuning the step size of stochastic gradient descent is tedious and error prone. This has motivated the development of methods that automatically adapt the step size using readily available information. In this paper, we consider the family…

Machine Learning · Computer Science 2024-11-13 Robert M. Gower , Mathieu Blondel , Nidham Gazagnadou , Fabian Pedregosa
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