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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

This paper presents a novel online learning method that aims at finding a separator hyperplane between data points labelled as either positive or negative. Since weights and biases of artificial neurons can directly be related to…

Machine Learning · Computer Science 2023-09-13 Ákos Hajnal

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

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

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 introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

Econometrics · Economics 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

A set of points $X = X_B \cup X_R \subseteq \mathbb{R}^d$ is linearly separable if the convex hulls of $X_B$ and $X_R$ are disjoint, hence there exists a hyperplane separating $X_B$ from $X_R$. Such a hyperplane provides a method for…

Discrete Mathematics · Computer Science 2017-12-29 Ricardo C. Corrêa , Diego Delle Donne , Javier Marenco

Classification is a machine learning method used in many practical applications: text mining, handwritten character recognition, face recognition, pattern classification, scene labeling, computer vision, natural langage processing. A…

Machine Learning · Computer Science 2025-11-05 Doulaye Dembélé

We aim to separate the generative factors of data into two latent vectors in a variational autoencoder. One vector captures class factors relevant to target classification tasks, while the other vector captures style factors relevant to the…

Machine Learning · Computer Science 2020-03-17 Bo-Kyeong Kim , Sungjin Park , Geonmin Kim , Soo-Young Lee

This paper proposes a novel method for solving one-class classification problems. The proposed approach, namely Subspace Support Vector Data Description, maps the data to a subspace that is optimized for one-class classification. In that…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Fahad Sohrab , Jenni Raitoharju , Moncef Gabbouj , Alexandros Iosifidis

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

A good classification method should yield more accurate results than simple heuristics. But there are classification problems, especially high-dimensional ones like the ones based on image/video data, for which simple heuristics can work…

Machine Learning · Statistics 2018-06-15 Tarun Yellamraju , Jonas Hepp , Mireille Boutin

Active learning is a promising alternative to alleviate the issue of high annotation cost in the computer vision tasks by consciously selecting more informative samples to label. Active learning for object detection is more challenging and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Jiaxi Wu , Jiaxin Chen , Di Huang

Deep convolutional neural networks have been widely used in scene classification of remotely sensed images. In this work, we propose a robust learning method for the task that is secure against partially incorrect categorization of images.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Jinyang Wang , Tao Wang , Min Gan , George Hadjichristofi

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

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

We consider the problem of the extraction of semantic attributes, supervised only with classification labels. For example, when learning to classify images of birds into species, we would like to observe the emergence of features that…

Machine Learning · Computer Science 2021-06-14 Ameen Ali , Tomer Galanti , Evgeniy Zheltonozhskiy , Chaim Baskin , Lior Wolf

An emerging class of trajectory optimization methods enforces collision avoidance by jointly optimizing the robot's configuration and a separating hyperplane. However, as linear separators only apply to convex sets, these methods require…

Robotics · Computer Science 2026-01-15 Shuoye Li , Zhiyuan Song , Yulin Li , Zhihai Bi , Jun Ma

Many high-dimensional practical data sets have hierarchical structures induced by graphs or time series. Such data sets are hard to process in Euclidean spaces and one often seeks low-dimensional embeddings in other space forms to perform…

Machine Learning · Computer Science 2022-04-13 Chao Pan , Eli Chien , Puoya Tabaghi , Jianhao Peng , Olgica Milenkovic

We propose Very Simple Classifier (VSC) a novel method designed to incorporate the concepts of subsampling and locality in the definition of features to be used as the input of a perceptron. The rationale is that locality theoretically…

Machine Learning · Computer Science 2016-09-15 Luca Masera , Enrico Blanzieri
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