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We consider the problem of cost sensitive multiclass classification, where we would like to increase the sensitivity of an important class at the expense of a less important one. We adopt an {\em apportioned margin} framework to address…

Machine Learning · Computer Science 2020-02-05 Lee-Ad Gottlieb , Eran Kaufman , Aryeh Kontorovich

This work presents a new strategy for multi-class classification that requires no class-specific labels, but instead leverages pairwise similarity between examples, which is a weaker form of annotation. The proposed method, meta…

Machine Learning · Computer Science 2019-01-04 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

The classification loss functions used in deep neural network classifiers can be grouped into two categories based on maximizing the margin in either Euclidean or angular spaces. Euclidean distances between sample vectors are used during…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Hakan Cevikalp , Hasan Saribas

We propose a novel approach to enhance the discriminability of Convolutional Neural Networks (CNN). The key idea is to build a tree structure that could progressively learn fine-grained features to distinguish a subset of classes, by…

Computer Vision and Pattern Recognition · Computer Science 2017-09-25 Zhenhua Wang , Xingxing Wang , Gang Wang

Multi-class novelty detection is increasingly becoming an important area of research due to the continuous increase in the number of object categories. It tries to answer the pertinent question: given a test sample, should we even try to…

Computer Vision and Pattern Recognition · Computer Science 2020-01-03 Supritam Bhattacharjee , Devraj Mandal , Soma Biswas

Deep learning has recently demonstrated its ability to rival the human brain for visual object recognition. As datasets get larger, a natural question to ask is if existing deep learning architectures can be extended to handle the 50+K…

Machine Learning · Computer Science 2020-08-04 Sumanth Chennupati , Sai Nooka , Shagan Sah , Raymond W Ptucha

A neural population responding to multiple appearances of a single object defines a manifold in the neural response space. The ability to classify such manifolds is of interest, as object recognition and other computational tasks require a…

Disordered Systems and Neural Networks · Physics 2022-08-30 Uri Cohen , Haim Sompolinsky

In this paper we study supervised learning tasks on the space of probability measures. We approach this problem by embedding the space of probability measures into $L^2$ spaces using the optimal transport framework. In the embedding spaces,…

Statistics Theory · Mathematics 2022-01-27 Varun Khurana , Harish Kannan , Alexander Cloninger , Caroline Moosmüller

Using hierarchies of classes is one of the standard methods to solve multi-class classification problems. In the literature, selecting the right hierarchy is considered to play a key role in improving classification performance. Although…

Machine Learning · Computer Science 2021-01-28 Pablo del Moral , Slawomir Nowaczyk , Anita Sant'Anna , Sepideh Pashami

We study the problem of multiclass classification with an extremely large number of classes (k), with the goal of obtaining train and test time complexity logarithmic in the number of classes. We develop top-down tree construction…

Machine Learning · Computer Science 2015-11-17 Anna Choromanska , John Langford

In this note, we revisit the algorithm of Har-Peled et. al. [HRZ07] for computing a linear maximum margin classifier. Our presentation is self contained, and the algorithm itself is slightly simpler than the original algorithm. The…

Machine Learning · Computer Science 2015-07-07 Sariel Har-Peled

Multi-label recognition is a fundamental, and yet is a challenging task in computer vision. Recently, deep learning models have achieved great progress towards learning discriminative features from input images. However, conventional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-26 Mohammed Hassanin , Ibrahim Radwan , Salman Khan , Murat Tahtali

Decision trees are one of the most popular methods for solving classification problems, mainly because of their good interpretability properties. Moreover, due to advances in recent years in mixed-integer optimization, several models have…

Optimization and Control · Mathematics 2026-05-29 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

Several structure-learning algorithms for staged trees, asymmetric extensions of Bayesian networks, have been proposed. However, these either do not scale efficiently as the number of variables considered increases, a priori restrict the…

Methodology · Statistics 2022-11-15 Peter Strong , Jim Q. Smith

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

This paper proposes a novel topological learning framework that integrates networks of different sizes and topology through persistent homology. Such challenging task is made possible through the introduction of a computationally efficient…

Neurons and Cognition · Quantitative Biology 2023-01-30 Tananun Songdechakraiwut , Moo K. Chung

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

In this paper, we propose a new mathematical optimization model for multiclass classification based on arrangements of hyperplanes. Our approach preserves the core support vector machine (SVM) paradigm of maximizing class separation while…

Optimization and Control · Mathematics 2025-10-07 Víctor Blanco , Harshit Kothari , James Luedtke

Models with transparent inner structure and high classification performance are required to reduce potential risk and provide trust for users in domains like health care, finance, security, etc. However, existing models are hard to…

Machine Learning · Computer Science 2020-02-21 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang

Machine Learning models are increasingly used for decision making, in particular in high-stakes applications such as credit scoring, medicine or recidivism prediction. However, there are growing concerns about these models with respect to…

Machine Learning · Computer Science 2023-04-12 Julien Rouzot , Julien Ferry , Marie-José Huguet
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