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In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

For many interesting tasks, such as medical diagnosis and web page classification, a learner only has access to some positively labeled examples and many unlabeled examples. Learning from this type of data requires making assumptions about…

Machine Learning · Computer Science 2018-08-28 Jessa Bekker , Jesse Davis

In many learning tasks, certain requirements on the processing of individual data samples should arguably be formalized as strict constraints in the underlying optimization problem, rather than by means of arbitrary penalties. We show that,…

Machine Learning · Computer Science 2026-01-26 Francesca Lanzillotta , Chiara Albisani , Davide Pucci , Daniele Baracchi , Alessandro Piva , Matteo Lapucci

Unsupervised learning has grown in popularity because of the difficulty of collecting annotated data and the development of modern frameworks that allow us to learn from unlabeled data. Existing studies, however, either disregard variations…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Yi-Zhan Xu , Chih-Yao Chen , Cheng-Te Li

Multi-label classification studies the task where each example belongs to multiple labels simultaneously. As a representative method, Ranking Support Vector Machine (Rank-SVM) aims to minimize the Ranking Loss and can also mitigate the…

Machine Learning · Computer Science 2019-11-06 Guoqiang Wu , Ruobing Zheng , Yingjie Tian , Dalian Liu

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

Machine Learning · Computer Science 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera

At the core of self-supervised learning for vision is the idea of learning invariant or equivariant representations with respect to a set of data transformations. This approach, however, introduces strong inductive biases, which can render…

Machine Learning · Computer Science 2024-05-29 Sharut Gupta , Chenyu Wang , Yifei Wang , Tommi Jaakkola , Stefanie Jegelka

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

Computer vision tasks are traditionally defined and evaluated using semantic categories. However, it is known to the field that semantic classes do not necessarily correspond to a unique visual class (e.g. inside and outside of a car).…

Computer Vision and Pattern Recognition · Computer Science 2014-05-27 Hossein Azizpour , Stefan Carlsson

Binary Classification plays an important role in machine learning. For linear classification, SVM is the optimal binary classification method. For nonlinear classification, the SVM algorithm needs to complete the classification task by…

Machine Learning · Computer Science 2024-06-21 Pengbo Yang , Jian Yu

Many classification problems focus on maximizing the performance only on the samples with the highest relevance instead of all samples. As an example, we can mention ranking problems, accuracy at the top or search engines where only the top…

Machine Learning · Computer Science 2023-03-29 Václav Mácha , Lukáš Adam , Václav Šmídl

Self-supervised methods based on contrastive learning have achieved great success in unsupervised visual representation learning. However, most methods under this framework suffer from the problem of false negative samples. Inspired by the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Chen Peng , Xianzhong Long , Yun Li

In this paper we present a novel mathematical optimization-based methodology to construct tree-shaped classification rules for multiclass instances. Our approach consists of building Classification Trees in which, except for the leaf nodes,…

Optimization and Control · Mathematics 2021-11-17 Víctor Blanco , Alberto Japón , Justo Puerto

Multi-class classification problems are fundamental in many varied domains in research and industry. To solve multi-class classification problems, heuristic strategies such as One-vs-One or One-vs-All can be employed. However, these…

Quantum Physics · Physics 2024-02-06 S M Pillay , I Sinayskiy , E Jembere , F Petruccione

We examine the supervised learning problem in its continuous setting and give a general optimality condition through techniques of functional analysis and the calculus of variations. This enables us to solve the optimality condition for the…

Machine Learning · Computer Science 2018-07-13 Carlos David Brito Pacheco , Carlos Francisco Brito Loeza

The use of learning-based methods for vehicle behavior prediction is a promising research topic. However, many publicly available data sets suffer from class distribution skews which limits learning performance if not addressed. This paper…

Robotics · Computer Science 2021-09-23 Theodor Westny , Erik Frisk , Björn Olofsson

Self-supervised representation learning on image-text data facilitates crucial medical applications, such as image classification, visual grounding, and cross-modal retrieval. One common approach involves contrasting semantically similar…

Machine Learning · Computer Science 2023-08-15 Peiqi Wang , Yingcheng Liu , Ching-Yun Ko , William M. Wells , Seth Berkowitz , Steven Horng , Polina Golland

Support vector machine (SVM) is a particularly powerful and flexible supervised learning model that analyzes data for both classification and regression, whose usual algorithm complexity scales polynomially with the dimension of data space…

Machine Learning · Computer Science 2023-03-08 Chen Ding , Tian-Yi Bao , He-Liang Huang

Successive Subspace Learning (SSL) offers a light-weight unsupervised feature learning method based on inherent statistical properties of data units (e.g. image pixels and points in point cloud sets). It has shown promising results,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Mozhdeh Rouhsedaghat , Masoud Monajatipoor , Zohreh Azizi , C. -C. Jay Kuo

The Support Vector Machine using Privileged Information (SVM+) has been proposed to train a classifier to utilize the additional privileged information that is only available in the training phase but not available in the test phase. In…

Machine Learning · Computer Science 2016-04-07 Xinxing Xu , Joey Tianyi Zhou , IvorW. Tsang , Zheng Qin , Rick Siow Mong Goh , Yong Liu
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