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We consider the problem of learning reject option classifiers. The goodness of a reject option classifier is quantified using $0-d-1$ loss function wherein a loss $d \in (0,.5)$ is assigned for rejection. In this paper, we propose {\em…

Machine Learning · Computer Science 2017-06-29 Naresh Manwani , Kalpit Desai , Sanand Sasidharan , Ramasubramanian Sundararajan

In this paper, we study a classification problem in which sample labels are randomly corrupted. In this scenario, there is an unobservable sample with noise-free labels. However, before being observed, the true labels are independently…

Machine Learning · Statistics 2015-07-21 Tongliang Liu , Dacheng Tao

In contrast to conventional (single-label) classification, the setting of multilabel classification (MLC) allows an instance to belong to several classes simultaneously. Thus, instead of selecting a single class label, predictions take the…

Machine Learning · Computer Science 2020-01-27 Vu-Linh Nguyen , Eyke Hüllermeier

We consider the problem of binary classification with abstention in the relatively less studied \emph{bounded-rate} setting. We begin by obtaining a characterization of the Bayes optimal classifier for an arbitrary input-label distribution…

Machine Learning · Computer Science 2019-05-24 Shubhanshu Shekhar , Mohammad Ghavamzadeh , Tara Javidi

Classification systems are often deployed in resource-constrained settings where labels must be assigned to inputs on a budget of time, memory, etc. Budgeted, sequential classifiers (BSCs) address these scenarios by processing inputs…

Neural and Evolutionary Computing · Computer Science 2022-09-08 Nolan H. Hamilton , Errin Fulp

We study the statistical properties of learning to defer (L2D) to multiple experts. In particular, we address the open problems of deriving a consistent surrogate loss, confidence calibration, and principled ensembling of experts. Firstly,…

Machine Learning · Statistics 2023-02-24 Rajeev Verma , Daniel Barrejón , Eric Nalisnick

Selective regression allows abstention from prediction if the confidence to make an accurate prediction is not sufficient. In general, by allowing a reject option, one expects the performance of a regression model to increase at the cost of…

Machine Learning · Computer Science 2022-07-18 Abhin Shah , Yuheng Bu , Joshua Ka-Wing Lee , Subhro Das , Rameswar Panda , Prasanna Sattigeri , Gregory W. Wornell

We tackle the problem of Selective Classification where the objective is to achieve the best performance on a predetermined ratio (coverage) of the dataset. Recent state-of-the-art selective methods come with architectural changes either…

Machine Learning · Computer Science 2023-03-03 Leo Feng , Mohamed Osama Ahmed , Hossein Hajimirsadeghi , Amir Abdi

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

Machine Learning · Computer Science 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

Convex potential minimisation is the de facto approach to binary classification. However, Long and Servedio [2010] proved that under symmetric label noise (SLN), minimisation of any convex potential over a linear function class can result…

Machine Learning · Computer Science 2015-05-29 Brendan van Rooyen , Aditya Krishna Menon , Robert C. Williamson

In this paper, we propose deep architectures for learning instance specific abstain (reject option) binary classifiers. The proposed approach uses double sigmoid loss function as described by Kulin Shah and Naresh Manwani in ("Online Active…

Machine Learning · Computer Science 2021-07-08 Bhavya Kalra , Kulin Shah , Naresh Manwani

The major challenge in designing a discriminative learning algorithm for predicting structured data is to address the computational issues arising from the exponential size of the output space. Existing algorithms make different assumptions…

Machine Learning · Computer Science 2010-06-29 Shankar Vembu

We consider optimization of generalized performance metrics for binary classification by means of surrogate losses. We focus on a class of metrics, which are linear-fractional functions of the false positive and false negative rates…

Machine Learning · Computer Science 2016-10-10 Wojciech Kotłowski , Krzysztof Dembczyński

Contrastive representation learning encourages data representation to make semantically similar pairs closer than randomly drawn negative samples, which has been successful in various domains such as vision, language, and graphs. Recent…

Machine Learning · Computer Science 2022-05-31 Han Bao , Yoshihiro Nagano , Kento Nozawa

We present novel reductions from sample compression schemes in multiclass classification, regression, and adversarially robust learning settings to binary sample compression schemes. Assuming we have a compression scheme for binary classes…

Machine Learning · Computer Science 2025-04-09 Idan Attias , Steve Hanneke , Arvind Ramaswami

This paper investigates to what extent one can improve reinforcement learning algorithms. Our study is split in three parts. First, our analysis shows that the classical asymptotic convergence rate $O(1/\sqrt{N})$ is pessimistic and can be…

Machine Learning · Computer Science 2021-10-25 Othmane Mounjid , Charles-Albert Lehalle

This paper tackles the problem of the existence of solutions for recursive systems of Horn clauses with second-order variables interpreted as integer relations, and harnessed by quantifier-free difference bounds arithmetic. We start by…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Radu Iosif

We consider the compound decision problem of estimating a vector of $n$ parameters, known up to a permutation, corresponding to $n$ independent observations, and discuss the difference between two symmetric classes of estimators. The first…

Statistics Theory · Mathematics 2008-02-12 Eitan Greenshtein , Ya'acov Ritov

We tackle the problem of quantifying failure probabilities for expensive deterministic computer experiments with stochastic inputs under a fixed budget. The computational cost of the computer simulation prohibits direct Monte Carlo (MC) and…

Methodology · Statistics 2025-07-08 Annie S. Booth , S. Ashwin Renganathan

The literature on "benign overfitting" in overparameterized models has been mostly restricted to regression or binary classification; however, modern machine learning operates in the multiclass setting. Motivated by this discrepancy, we…

Machine Learning · Statistics 2023-07-13 Ke Wang , Vidya Muthukumar , Christos Thrampoulidis