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We consider the binary classification problem when data are large and subject to unknown but bounded uncertainties. We address the problem by formulating the nonlinear support vector machine training problem with robust optimization. To do…

Machine Learning · Statistics 2017-06-30 Nicolas Couellan , Sophie Jan

In image classification task, feature extraction is always a big issue. Intra-class variability increases the difficulty in designing the extractors. Furthermore, hand-crafted feature extractor cannot simply adapt new situation. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Chieh-Ning Fang , Chin-Teng Lin

Conditional random field (CRF) and Structural Support Vector Machine (Structural SVM) are two state-of-the-art methods for structured prediction which captures the interdependencies among output variables. The success of these methods is…

Machine Learning · Computer Science 2015-03-19 Qi Mao , Ivor W. Tsang

Large-scale Hierarchical Classification (HC) involves datasets consisting of thousands of classes and millions of training instances with high-dimensional features posing several big data challenges. Feature selection that aims to select…

Machine Learning · Computer Science 2017-06-07 Azad Naik , Huzefa Rangwala

Few-shot learning (FSL) aims to learn a classifier that can be easily adapted to accommodate new tasks not seen during training, given only a few examples. To handle the limited-data problem in few-shot regimes, recent methods tend to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Yang Liu , Weifeng Zhang , Chao Xiang , Tu Zheng , Deng Cai , Xiaofei He

The classical hinge-loss support vector machines (SVMs) model is sensitive to outlier observations due to the unboundedness of its loss function. To circumvent this issue, recent studies have focused on non-convex loss functions, such as…

Machine Learning · Computer Science 2022-07-19 Ítalo Santana , Breno Serrano , Maximilian Schiffer , Thibaut Vidal

Feature selection is a widely used dimension reduction technique to select feature subsets because of its interpretability. Many methods have been proposed and achieved good results, in which the relationships between adjacent data points…

Machine Learning · Computer Science 2020-06-01 Yan Min , Mao Ye , Liang Tian , Yulin Jian , Ce Zhu , Shangming Yang

The support vector machines (SVM) is one of the most widely used and practical optimization based classification models in machine learning because of its interpretability and flexibility to produce high quality results. However, the big…

Machine Learning · Computer Science 2020-11-06 Ehsan Sadrfaridpour , Korey Palmer , Ilya Safro

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

For supervised and unsupervised learning, positive definite kernels allow to use large and potentially infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done…

Machine Learning · Computer Science 2008-09-10 Francis Bach

'Hybrid meta-heuristics' is one of the most interesting recent trends in the field of optimization and feature selection (FS). In this paper, we have proposed a binary variant of Atom Search Optimization (ASO) and its hybrid with Simulated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Kushal Kanti Ghosh , Ritam Guha , Soulib Ghosh , Suman Kumar Bera , Ram Sarkar

The support vector machines (SVM) is a powerful classifier used for binary classification to improve the prediction accuracy. However, the non-differentiability of the SVM hinge loss function can lead to computational difficulties in high…

Machine Learning · Statistics 2023-03-17 Rachid Kharoubi , Abdallah Mkhadri , Karim Oualkacha

Variable selection is fundamental to high-dimensional statistical modeling. Many variable selection techniques may be implemented by maximum penalized likelihood using various penalty functions. Optimizing the penalized likelihood function…

Statistics Theory · Mathematics 2007-06-13 David R. Hunter , Runze Li

In many real-world problems, collecting a large number of labeled samples is infeasible. Few-shot learning (FSL) is the dominant approach to address this issue, where the objective is to quickly adapt to novel categories in presence of a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Mamshad Nayeem Rizve , Salman Khan , Fahad Shahbaz Khan , Mubarak Shah

High-dimensional datasets depict a challenge for learning tasks in data mining and machine learning. Feature selection is an effective technique in dealing with dimensionality reduction. It is often an essential data processing step prior…

Machine Learning · Computer Science 2023-09-18 Gustavo Sosa-Cabrera , Santiago Gómez-Guerrero , Miguel García-Torres , Christian E. Schaerer

Latent representations are critical for the performance and robustness of machine learning models, as they encode the essential features of data in a compact and informative manner. However, in vision tasks, these representations are often…

Machine Learning · Computer Science 2025-10-03 Bruno Corcuera , Carlos Eiras-Franco , Brais Cancela

Shifted combinatorial optimization is a new nonlinear optimization framework which is a broad extension of standard combinatorial optimization, involving the choice of several feasible solutions at a time. This framework captures well…

Computational Complexity · Computer Science 2021-02-25 Jakub Gajarský , Petr Hliněný , Martin Koutecký , Shmuel Onn

Feature selection methods are widely used to address the high computational overheads and curse of dimensionality in classifying high-dimensional data. Most conventional feature selection methods focus on handling homogeneous features,…

Machine Learning · Computer Science 2021-11-17 Xuyang Yan , Mrinmoy Sarkar , Biniam Gebru , Shabnam Nazmi , Abdollah Homaifar

We present a new paradigm for speeding up randomized computations of several frequently used functions in machine learning. In particular, our paradigm can be applied for improving computations of kernels based on random embeddings. Above…

Machine Learning · Statistics 2016-04-26 Krzysztof Choromanski , Francois Fagan

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

Machine Learning · Statistics 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu