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Recalibrating probabilistic classifiers is vital for enhancing the reliability and accuracy of predictive models. Despite the development of numerous recalibration algorithms, there is still a lack of a comprehensive theory that integrates…

Machine Learning · Computer Science 2023-05-19 Zeyu Sun , Dogyoon Song , Alfred Hero

This work investigates into cost behaviors of binary classification measures in a background of class-imbalanced problems. Twelve performance measures are studied, such as F measure, G-means in terms of accuracy rates, and of recall and…

Machine Learning · Computer Science 2014-03-28 Bao-Gang Hu , Wei-Ming Dong

A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a…

Machine Learning · Computer Science 2012-06-22 Akiko Takeda , Hiroyuki Mitsugi , Takafumi Kanamori

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

Imbalanced data are frequently encountered in real-world classification tasks. Previous works on imbalanced learning mostly focused on learning with a minority class of few samples. However, the notion of imbalance also applies to cases…

Machine Learning · Computer Science 2024-09-09 Yin Jin , Ningtao Wang , Ruofan Wu , Pengfei Shi , Xing Fu , Weiqiang Wang

The use of alternative measures to evaluate classifier performance is gaining attention, specially for imbalanced problems. However, the use of these measures in the classifier design process is still unsolved. In this work we propose a…

Computer Vision and Pattern Recognition · Computer Science 2013-09-13 Matías Di Martino , Guzman Hernández , Marcelo Fiori , Alicia Fernández

This paper considers binary and multilabel classification problems in a setting where labels are missing independently and with a known rate. Missing labels are a ubiquitous phenomenon in extreme multi-label classification (XMC) tasks, such…

Machine Learning · Computer Science 2021-09-24 Erik Schultheis , Rohit Babbar

Classification problems are essential statistical tasks that form the foundation of decision-making across various fields, including patient prognosis and treatment strategies for critical conditions. Consequently, evaluating the…

Methodology · Statistics 2025-03-11 Jun Tamura , Yuki Itaya , Kenichi Hayashi , Kouji Yamamoto

We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known compactly supported density g with a finite number…

Methodology · Statistics 2012-10-29 Anestis Antoniadis , Marianna Pensky , Theofanis Sapatinas

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

In this paper, we establish minimax optimal rates of convergence for prediction in a semi-functional linear model that consists of a functional component and a less smooth nonparametric component. Our results reveal that the smoother…

Statistics Theory · Mathematics 2021-11-01 Keli Guo , Jun Fan , Lixing Zhu

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

Information Theory · Computer Science 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

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

Model agnostic meta-learning (MAML) is a popular state-of-the-art meta-learning algorithm that provides good weight initialization of a model given a variety of learning tasks. The model initialized by provided weight can be fine-tuned to…

Machine Learning · Computer Science 2021-06-11 Thanh Nguyen , Tung Luu , Trung Pham , Sanzhar Rakhimkul , Chang D. Yoo

A new approach is introduced to classify faults in rotating machinery based on the total energy signature estimated from sensor measurements. The overall goal is to go beyond using black-box models and incorporate additional physical…

Machine Learning · Computer Science 2023-01-09 Jeremy Shen , Jawad Chowdhury , Sourav Banerjee , Gabriel Terejanu

We provide a general theoretical analysis of expected out-of-sample utility, also referred to as decision-theoretic classification, for non-decomposable binary classification metrics such as F-measure and Jaccard coefficient. Our key result…

Machine Learning · Computer Science 2015-05-08 Nagarajan Natarajan , Oluwasanmi Koyejo , Pradeep Ravikumar , Inderjit S. Dhillon

This study intends to introduce kernel mean embedding of probability measures over infinite-dimensional separable Hilbert spaces induced by functional response statistical models. The embedded function represents the concentration of…

Statistics Theory · Mathematics 2020-11-05 Saeed Hayati , Kenji Fukumizu , Afshin Parvardeh

This paper studies a Markov network model for unbalanced data, aiming to solve the problems of classification bias and insufficient minority class recognition ability of traditional machine learning models in environments with uneven class…

Machine Learning · Computer Science 2025-02-06 Junliang Du , Shiyu Dou , Bohuan Yang , Jiacheng Hu , Tai An

In this paper, we consider a functional linear regression model, where both the covariate and the response variable are functional random variables. We address the problem of optimal nonparametric estimation of the conditional expectation…

Statistics Theory · Mathematics 2022-03-02 Gaëlle Chagny , Anouar Meynaoui , Angelina Roche

Modern classification problems frequently present mild to severe label imbalance as well as specific requirements on classification characteristics, and require optimizing performance measures that are non-decomposable over the dataset,…

Machine Learning · Statistics 2015-05-27 Harikrishna Narasimhan , Purushottam Kar , Prateek Jain