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We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. We also show that this…

Machine Learning · Computer Science 2012-07-02 Zhihua Zhang , Michael I. Jordan

Recently, various contrastive learning techniques have been developed to categorize time series data and exhibit promising performance. A general paradigm is to utilize appropriate augmentations and construct feasible positive samples such…

Machine Learning · Computer Science 2024-10-11 Qianying Ren , Dongsheng Luo , Dongjin Song

We present Fast Random projection-based One-Class Classification (FROCC), an extremely efficient method for one-class classification. Our method is based on a simple idea of transforming the training data by projecting it onto a set of…

Machine Learning · Computer Science 2021-07-01 Arindam Bhattacharya , Sumanth Varambally , Amitabha Bagchi , Srikanta Bedathur

The one-class kernel spectral regression (OC-KSR), the regression-based formulation of the kernel null-space approach has been found to be an effective Fisher criterion-based methodology for one-class classification (OCC), achieving…

Machine Learning · Computer Science 2019-05-23 Shervin Rahimzadeh Arashloo , Josef Kittler

The latest techniques from Neural Networks and Support Vector Machines (SVM) are used to investigate geometric properties of Complete Intersection Calabi-Yau (CICY) threefolds, a class of manifolds that facilitate string model building. An…

High Energy Physics - Theory · Physics 2018-08-22 Kieran Bull , Yang-Hui He , Vishnu Jejjala , Challenger Mishra

Although support vector machines (SVMs) are theoretically well understood, their underlying optimization problem becomes very expensive, if, for example, hundreds of thousands of samples and a non-linear kernel are considered. Several…

Machine Learning · Statistics 2018-02-09 Philipp Thomann , Ingrid Blaschzyk , Mona Meister , Ingo Steinwart

In this paper, we present an adaptation of Newton's method for the optimization of Subspace Support Vector Data Description (S-SVDD). The objective of S-SVDD is to map the original data to a subspace optimized for one-class classification,…

Machine Learning · Computer Science 2023-09-26 Fahad Sohrab , Firas Laakom , Moncef Gabbouj

Twin Support Vector Machines (TWSVMs) have emerged an efficient alternative to Support Vector Machines (SVM) for learning from imbalanced datasets. The TWSVM learns two non-parallel classifying hyperplanes by solving a couple of smaller…

Machine Learning · Computer Science 2019-02-12 Jayadeva , Himanshu Pant , Sumit Soman , Mayank Sharma

The one-class classification problem is a well-known research endeavor in pattern recognition. The problem is also known under different names, such as outlier and novelty/anomaly detection. The core of the problem consists in modeling and…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Lorenzo Livi , Alireza Sadeghian , Witold Pedrycz

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

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

The VC dimension measures the capacity of a learning machine, and a low VC dimension leads to good generalization. While SVMs produce state-of-the-art learning performance, it is well known that the VC dimension of a SVM can be unbounded;…

Machine Learning · Computer Science 2017-05-02 Jayadeva

We introduce an advanced, swift pattern recognition strategy for various multiple robotics during curve negotiation. This method, leveraging a sophisticated k-means clustering-enhanced Support Vector Machine algorithm, distinctly…

Robotics · Computer Science 2024-05-07 Rui Liu , Xuanzhen Xu , Yuwei Shen , Armando Zhu , Chang Yu , Tianjian Chen , Ye Zhang

We propose several novel methods for enhancing the multi-class SVMs by applying the generalization performance of binary classifiers as the core idea. This concept will be applied on the existing algorithms, i.e., the Decision Directed…

Machine Learning · Computer Science 2013-09-12 Patoomsiri Songsiri , Thimaporn Phetkaew , Boonserm Kijsirikul

Search engines are the most important tools for web data acquisition. Web pages are crawled and indexed by search Engines. Users typically locate useful web pages by querying a search engine. One of the challenges in search engines…

Information Retrieval · Computer Science 2016-05-11 Seyed Hamid Reza Mohammadi , Mohammad Ali Zare Chahooki

Standard contrastive learning approaches usually require a large number of negatives for effective unsupervised learning and often exhibit slow convergence. We suspect this behavior is due to the suboptimal selection of negatives used for…

Machine Learning · Computer Science 2021-12-22 Anshul Shah , Suvrit Sra , Rama Chellappa , Anoop Cherian

Scene segmentation and classification (SSC) serve as a critical step towards the field of video structuring analysis. Intuitively, jointly learning of these two tasks can promote each other by sharing common information. However, scene…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Ye Liu , Lingfeng Qiao , Di Yin , Zhuoxuan Jiang , Xinghua Jiang , Deqiang Jiang , Bo Ren

Economic models produce moment inequalities, which can be used to form tests of the true parameters. Confidence sets (CS) of the true parameters are derived by inverting these tests. However, they often lack analytical expressions,…

Econometrics · Economics 2024-11-14 Lujie Zhou

This paper focuses on a specific family of classifiers called nonparallel support vector classifiers (NPSVCs). Different from typical classifiers, the training of an NPSVC involves the minimization of multiple objectives, resulting in the…

Machine Learning · Computer Science 2024-02-12 Junhong Zhang , Zhihui Lai , Jie Zhou , Guangfei Liang

One of the limiting factors of using support vector machines (SVMs) in large scale applications are their super-linear computational requirements in terms of the number of training samples. To address this issue, several approaches that…

Machine Learning · Statistics 2015-07-24 Mona Eberts , Ingo Steinwart