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Binary linear classification has been explored since the very early days of the machine learning literature. Perhaps the most classical algorithm is the Perceptron, where a weight vector used to classify examples is maintained, and additive…

Machine Learning · Computer Science 2020-11-18 Rafael Hanashiro , Jacob Abernethy

We consider the following classification problem: Given a population of individuals characterized by a set of attributes represented as a vector in ${\mathbb R}^N$, the goal is to find a hyperplane in ${\mathbb R}^N$ that separates two sets…

Machine Learning · Computer Science 2025-07-04 Argimiro Arratia , Mahmoud El Daou , Henryk Gzyl

Perceptrons are neuronal devices capable of fully discriminating linearly separable classes. Although straightforward to implement and train, their applicability is usually hindered by non-trivial requirements imposed by real-world…

Neural and Evolutionary Computing · Computer Science 2016-03-23 André L. V. Coelho , Fabrício O. de França

The classical Perceptron algorithm provides a simple and elegant procedure for learning a linear classifier. In each step, the algorithm observes the sample's position and label and updates the current predictor accordingly if it makes a…

Machine Learning · Computer Science 2021-03-24 Saba Ahmadi , Hedyeh Beyhaghi , Avrim Blum , Keziah Naggita

The aim of this paper is to investigate an attempt to build a binary classification algorithm using principles of geometry such as vectors, planes, and vector algebra. The basic idea behind the proposed algorithm is that a hyperplane can be…

Machine Learning · Computer Science 2025-03-04 Vatsal Srivastava

Efficient feature learning with Convolutional Neural Networks (CNNs) constitutes an increasingly imperative property since several challenging tasks of computer vision tend to require cascade schemes and modalities fusion. Feature learning…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Ioannis Kansizoglou , Nicholas Santavas , Loukas Bampis , Antonios Gasteratos

Neural networks use their hidden layers to transform input data into linearly separable data clusters, with a linear or a perceptron type output layer making the final projection on the line perpendicular to the discriminating hyperplane.…

Machine Learning · Computer Science 2018-07-10 Wlodzislaw Duch

On-line and batch learning of a perceptron in a discrete weight space, where each weight can take $2 L+1$ different values, are examined analytically and numerically. The learning algorithm is based on the training of the continuous…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Ido Kanter

A efficient incremental learning algorithm for classification tasks, called NetLines, well adapted for both binary and real-valued input patterns is presented. It generates small compact feedforward neural networks with one hidden layer of…

Artificial Intelligence · Computer Science 2009-04-30 Juan-Manuel Torres-Moreno , Mirta B. Gordon

We initiate the study of active learning algorithms for classifying strategic agents. Active learning is a well-established framework in machine learning in which the learner selectively queries labels, often achieving substantially higher…

Machine Learning · Computer Science 2025-12-03 Maria-Florina Balcan , Hedyeh Beyhaghi

In online classification, a learner is presented with a sequence of examples and aims to predict their labels in an online fashion so as to minimize the total number of mistakes. In the self-directed variant, the learner knows in advance…

Machine Learning · Computer Science 2023-08-08 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

We discuss a method that employs a multilayer perceptron to detect deviations from a reference model in large multivariate datasets. Our data analysis strategy does not rely on any prior assumption on the nature of the deviation. It is…

High Energy Physics - Phenomenology · Physics 2021-09-24 Raffaele Tito D'Agnolo , Gaia Grosso , Maurizio Pierini , Andrea Wulzer , Marco Zanetti

It has been a long-standing problem to efficiently learn a halfspace using as few labels as possible in the presence of noise. In this work, we propose an efficient Perceptron-based algorithm for actively learning homogeneous halfspaces…

Machine Learning · Computer Science 2017-11-07 Songbai Yan , Chicheng Zhang

Binary classification is one of the most common problem in machine learning. It consists in predicting whether a given element belongs to a particular class. In this paper, a new algorithm for binary classification is proposed using a…

Machine Learning · Computer Science 2019-03-12 Alexandre Quemy

We propose a method for semi-supervised semantic segmentation using an adversarial network. While most existing discriminators are trained to classify input images as real or fake on the image level, we design a discriminator in a fully…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Wei-Chih Hung , Yi-Hsuan Tsai , Yan-Ting Liou , Yen-Yu Lin , Ming-Hsuan Yang

In machine learning, classification is usually seen as a function approximation problem, where the goal is to learn a function that maps input features to class labels. In this paper, we propose a novel clustering and classification…

Machine Learning · Computer Science 2025-02-25 Hrushikesh Mhaskar , Ryan O'Dowd , Efstratios Tsoukanis

The binary perceptron is the simplest artificial neural network formed by $N$ input units and one output unit, with the neural states and the synaptic weights all restricted to $\pm 1$ values. The task in the teacher--student scenario is to…

Machine Learning · Computer Science 2019-03-15 Hai-Jun Zhou

Supervised machine learning often requires large training sets to train accurate models, yet obtaining large amounts of labeled data is not always feasible. Hence, it becomes crucial to explore active learning methods for reducing the size…

Machine Learning · Computer Science 2024-04-16 Ashna Jose , Emilie Devijver , Massih-Reza Amini , Noel Jakse , Roberta Poloni

Active learning is a branch of machine learning that deals with problems where unlabeled data is abundant yet obtaining labels is expensive. The learning algorithm has the possibility of querying a limited number of samples to obtain the…

Disordered Systems and Neural Networks · Physics 2020-09-04 Hugo Cui , Luca Saglietti , Lenka Zdeborová

The goal of Ordinal Regression is to find a rule that ranks items from a given set. Several learning algorithms to solve this prediction problem build an ensemble of binary classifiers. Ranking by Projecting uses interdependent binary…

Machine Learning · Computer Science 2019-11-27 Ruy Luiz Milidiú , Rafael Henrique Santos Rocha
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