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In this article, we establish a precise connection between binarized neural networks (BNNs) and Sugeno integrals. The advantage of the Sugeno integral is that it provides a framework for representing the importance of inputs and their…

Artificial Intelligence · Computer Science 2026-04-21 Ismaïl Baaj , Henri Prade

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

In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno utility functions. We propose a general approach to study…

Rings and Algebras · Mathematics 2011-01-31 Miguel Couceiro , Tamás Waldhauser

Machine learning techniques are used to predict theoretical constraints such as unitarity and boundedness from below in extensions of the Standard Model. This approach has proven effective for models incorporating additional SU(2) scalar…

High Energy Physics - Phenomenology · Physics 2025-12-19 Darius Jurčiukonis

We address the problem of general supervised learning when data can only be accessed through an (indefinite) similarity function between data points. Existing work on learning with indefinite kernels has concentrated solely on…

Machine Learning · Computer Science 2012-10-23 Purushottam Kar , Prateek Jain

We examine the supervised learning problem in its continuous setting and give a general optimality condition through techniques of functional analysis and the calculus of variations. This enables us to solve the optimality condition for the…

Machine Learning · Computer Science 2018-07-13 Carlos David Brito Pacheco , Carlos Francisco Brito Loeza

Many binary classification problems minimize misclassification above (or below) a threshold. We show that instances of ranking problems, accuracy at the top or hypothesis testing may be written in this form. We propose a general framework…

Machine Learning · Computer Science 2020-02-26 Lukáš Adam , Václav Mácha , Václav Šmídl , Tomáš Pevný

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

The purpose of this research report is to present the our learning curve and the exposure to the Machine Learning life cycle, with the use of a Kaggle binary classification data set and taking to explore various techniques from…

Machine Learning · Computer Science 2021-05-25 Mohamed Hamama

An approach to the classification problem of machine learning, based on building local classification rules, is developed. The local rules are considered as projections of the global classification rules to the event we want to classify. A…

Machine Learning · Computer Science 2007-05-23 Vladislav Malyshkin , Ray Bakhramov , Andrey Gorodetsky

We address the problem of aggregating an ensemble of predictors with known loss bounds in a semi-supervised binary classification setting, to minimize prediction loss incurred on the unlabeled data. We find the minimax optimal predictions…

Machine Learning · Computer Science 2016-11-08 Akshay Balsubramani , Yoav Freund

Submodularity is an important concept in integer and combinatorial optimization. A classical submodular set function models the utility of selecting homogenous items from a single ground set, and such selections can be represented by binary…

Optimization and Control · Mathematics 2023-04-06 Simge Küçükyavuz , Qimeng Yu

With the advent of kernel methods, automating the task of specifying a suitable kernel has become increasingly important. In this context, the Multiple Kernel Learning (MKL) problem of finding a combination of pre-specified base kernels…

Machine Learning · Computer Science 2012-07-03 Abhishek Kumar , Alexandru Niculescu-Mizil , Koray Kavukcuoglu , Hal Daume

This paper proposes a generic formulation that significantly expedites the training and deployment of image classification models, particularly under the scenarios of many image categories and high feature dimensions. As a defining…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Fumin Shen , Yadong Mu , Wei Liu , Yang Yang , Heng Tao Shen

We study the problem of learning from aggregate observations where supervision signals are given to sets of instances instead of individual instances, while the goal is still to predict labels of unseen individuals. A well-known example is…

Machine Learning · Statistics 2021-01-08 Yivan Zhang , Nontawat Charoenphakdee , Zhenguo Wu , Masashi Sugiyama

Binary Classification plays an important role in machine learning. For linear classification, SVM is the optimal binary classification method. For nonlinear classification, the SVM algorithm needs to complete the classification task by…

Machine Learning · Computer Science 2024-06-21 Pengbo Yang , Jian Yu

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

The structure of data organization is widely recognized as having a substantial influence on the efficacy of machine learning algorithms, particularly in binary classification tasks. Our research provides a theoretical framework suggesting…

Machine Learning · Computer Science 2024-07-15 Fei Jing , Zi-Ke Zhang , Yi-Cheng Zhang , Qingpeng Zhang

The Machine Learning has various learning algorithms that are better in some or the other aspect when compared with each other but a common error that all algorithms will suffer from is training data with very high dimensional feature set.…

Machine Learning · Computer Science 2022-02-21 Sruthi Nair , Abhishek Gupta , Raunak Joshi , Vidya Chitre

In many real-world pattern recognition scenarios, such as in medical applications, the corresponding classification tasks can be of an imbalanced nature. In the current study, we focus on binary, imbalanced classification tasks, i.e.~binary…

Machine Learning · Computer Science 2020-12-01 Peter Bellmann , Heinke Hihn , Daniel A. Braun , Friedhelm Schwenker
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