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This paper considers convex quadratic programs associated with the training of support vector machines (SVM). Exploiting the special structure of the SVM problem a new type of active set method with long cycles and stable rank-one-updates…

Optimization and Control · Mathematics 2025-04-09 Florian Jarre

Motion planning is a central challenge in robotics, with learning-based approaches gaining significant attention in recent years. Our work focuses on a specific aspect of these approaches: using machine-learning techniques, particularly…

Robotics · Computer Science 2025-02-07 Sapir Tubul , Aviv Tamar , Kiril Solovey , Oren Salzman

Machine Learning techniques have become pervasive across a range of different applications, and are now widely used in areas as disparate as recidivism prediction, consumer credit-risk analysis and insurance pricing. The prevalence of…

Machine Learning · Computer Science 2020-01-14 Michael Varley , Vaishak Belle

With the advancement of communication and security technologies, it has become crucial to have robustness of embedded biometric systems. This paper presents the realization of such technologies which demands reliable and error-free…

Computer Vision and Pattern Recognition · Computer Science 2012-04-20 Aamir Khan , Muhammad Farhan , Asar Ali

The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

Machine Learning · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

We consider the problem of whether a given decision model, working with structured data, has individual fairness. Following the work of Dwork, a model is individually biased (or unfair) if there is a pair of valid inputs which are close to…

Machine Learning · Computer Science 2020-06-23 Philips George John , Deepak Vijaykeerthy , Diptikalyan Saha

One Class Slab Support Vector Machines (OCSSVM) have turned out to be better in terms of accuracy in certain classes of classification problems than the traditional SVMs and One Class SVMs or even other One class classifiers. This paper…

Machine Learning · Computer Science 2024-09-05 Bagesh Kumar , Ayush Sinha , Sourin Chakrabarti , O. P. Vyas

A semidefinite program (SDP) is a particular kind of convex optimization problem with applications in operations research, combinatorial optimization, quantum information science, and beyond. In this work, we propose variational quantum…

Quantum Physics · Physics 2024-06-19 Dhrumil Patel , Patrick J. Coles , Mark M. Wilde

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

Machine Learning · Statistics 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

In this paper, we consider asymptotic properties of the support vector machine (SVM) in high-dimension, low-sample-size (HDLSS) settings. We show that the hard-margin linear SVM holds a consistency property in which misclassification rates…

Machine Learning · Statistics 2017-02-28 Yugo Nakayama , Kazuyoshi Yata , Makoto Aoshima

Mitigating bias in automated decision-making systems, particularly in deep learning models, is a critical challenge due to nuanced definitions of fairness, dataset-specific biases, and the inherent trade-off between fairness and accuracy.…

Machine Learning · Computer Science 2025-10-22 Charmaine Barker , Daniel Bethell , Dimitar Kazakov

We give two provably accurate feature-selection techniques for the linear SVM. The algorithms run in deterministic and randomized time respectively. Our algorithms can be used in an unsupervised or supervised setting. The supervised…

Machine Learning · Statistics 2015-02-09 Saurabh Paul , Malik Magdon-Ismail , Petros Drineas

Training machine learning models with the only accuracy as a final goal may promote prejudices and discriminatory behaviors embedded in the data. One solution is to learn latent representations that fulfill specific fairness metrics.…

Machine Learning · Computer Science 2021-07-28 Patrik Joslin Kenfack , Adil Mehmood Khan , Rasheed Hussain , S. M. Ahsan Kazmi

In \cite{simon2023algorithms} we introduced four algorithms for the training of neural support vector machines (NSVMs) and demonstrated their feasibility. In this note we introduce neural quantum support vector machines, that is, NSVMs with…

Quantum Physics · Physics 2023-11-27 Lars Simon , Manuel Radons

The support vector machine (SVM) and deep learning (e.g., convolutional neural networks (CNNs)) are the two most famous algorithms in small and big data, respectively. Nonetheless, smaller datasets may be very important, costly, and not…

Machine Learning · Computer Science 2020-02-19 Wei-Chang Yeh

Algorithmic fairness is frequently motivated in terms of a trade-off in which overall performance is decreased so as to improve performance on disadvantaged groups where the algorithm would otherwise be less accurate. Contrary to this, we…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Dominik Zietlow , Michael Lohaus , Guha Balakrishnan , Matthäus Kleindessner , Francesco Locatello , Bernhard Schölkopf , Chris Russell

Support Vector Machines (SVMs) are an important tool for performing classification on scattered data, where one usually has to deal with many data points in high-dimensional spaces. We propose solving SVMs in primal form using feature maps…

Machine Learning · Computer Science 2024-09-05 Kseniya Akhalaya , Franziska Nestler , Daniel Potts

The increasing application of machine learning techniques in everyday decision-making processes has brought concerns about the fairness of algorithmic decision-making. This paper concerns the problem of collider bias which produces spurious…

As they have a vital effect on social decision-making, AI algorithms should be not only accurate but also fair. Among various algorithms for fairness AI, learning fair representation (LFR), whose goal is to find a fair representation with…

Machine Learning · Statistics 2023-01-12 Dongha Kim , Kunwoong Kim , Insung Kong , Ilsang Ohn , Yongdai Kim

As machine learning systems are increasingly used to make real world legal and financial decisions, it is of paramount importance that we develop algorithms to verify that these systems do not discriminate against minorities. We design a…

Artificial Intelligence · Computer Science 2020-01-01 Osbert Bastani , Xin Zhang , Armando Solar-Lezama