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Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

For classification models based on neural networks, the maximum predicted class probability is often used as a confidence score. This score rarely predicts well the probability of making a correct prediction and requires a post-processing…

Machine Learning · Computer Science 2024-11-07 Adrien LeCoz , Stéphane Herbin , Faouzi Adjed

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

Machine Learning · Computer Science 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

Reinforcement learning with multinomial logistic (MNL) function approximation has become an important framework due to its flexibility and broad applicability. While existing studies have established regret guarantees under worst-case…

Machine Learning · Statistics 2026-05-28 Wonyoung Kim , Min-Hwan Oh , Garud Iyengar , Assaf Zeevi

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

Set-valued prediction is a well-known concept in multi-class classification. When a classifier is uncertain about the class label for a test instance, it can predict a set of classes instead of a single class. In this paper, we focus on…

Machine Learning · Computer Science 2022-03-15 Thomas Mortier , Eyke Hüllermeier , Krzysztof Dembczyński , Willem Waegeman

Multiclass classification is a fundamental and challenging task in machine learning. The existing techniques of multiclass classification can be categorized as (i) decomposition into binary (ii) extension from binary and (iii) hierarchical…

Machine Learning · Computer Science 2023-08-29 Gongjin Lan , Zhenyu Gao , Lingyao Tong , Ting Liu

A multiclass classifier is said to be top-label calibrated if the reported probability for the predicted class -- the top-label -- is calibrated, conditioned on the top-label. This conditioning on the top-label is absent in the closely…

Machine Learning · Computer Science 2022-09-07 Chirag Gupta , Aaditya Ramdas

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

We address online linear optimization problems when the possible actions of the decision maker are represented by binary vectors. The regret of the decision maker is the difference between her realized loss and the best loss she would have…

Machine Learning · Computer Science 2013-04-02 Jean-Yves Audibert , Sébastien Bubeck , Gábor Lugosi

We propose new methods for Support Vector Machines (SVMs) using tree architecture for multi-class classi- fication. In each node of the tree, we select an appropriate binary classifier using entropy and generalization error estimation, then…

Machine Learning · Computer Science 2017-08-29 Pittipol Kantavat , Boonserm Kijsirikul , Patoomsiri Songsiri , Ken-ichi Fukui , Masayuki Numao

Regret in Large Language Models refers to their explicit regret expression when presented with evidence contradicting their previously generated misinformation. Studying the regret mechanism is crucial for enhancing model reliability and…

Computation and Language · Computer Science 2025-06-19 Xiangxiang Cui , Shu Yang , Tianjin Huang , Wanyu Lin , Lijie Hu , Di Wang

We present a novel multilabel/ranking algorithm working in partial information settings. The algorithm is based on 2nd-order descent methods, and relies on upper-confidence bounds to trade-off exploration and exploitation. We analyze this…

Machine Learning · Computer Science 2013-01-17 Claudio Gentile , Francesco Orabona

We consider multi-objective optimization (MOO) of an unknown vector-valued function in the non-parametric Bayesian optimization (BO) setting, with the aim being to learn points on the Pareto front of the objectives. Most existing BO…

Machine Learning · Computer Science 2020-08-21 Sayak Ray Chowdhury , Aditya Gopalan

A large variety of real-world Reinforcement Learning (RL) tasks is characterized by a complex and heterogeneous structure that makes end-to-end (or flat) approaches hardly applicable or even infeasible. Hierarchical Reinforcement Learning…

Machine Learning · Computer Science 2023-05-12 Gianluca Drappo , Alberto Maria Metelli , Marcello Restelli

Learning to quantify (a.k.a.\ quantification) is a task concerned with training unbiased estimators of class prevalence via supervised learning. This task originated with the observation that "Classify and Count" (CC), the trivial method of…

Machine Learning · Computer Science 2021-09-22 Alejandro Moreo , Fabrizio Sebastiani

We consider the question of sequential prediction under the log-loss in terms of cumulative regret. Namely, given a hypothesis class of distributions, learner sequentially predicts the (distribution of the) next letter in sequence and its…

Machine Learning · Computer Science 2021-09-16 Meir Feder , Yury Polyanskiy

In online convex optimization it is well known that certain subclasses of objective functions are much easier than arbitrary convex functions. We are interested in designing adaptive methods that can automatically get fast rates in as many…

Machine Learning · Computer Science 2021-08-31 Tim van Erven , Wouter M. Koolen

In this paper a class of combinatorial optimization problems is discussed. It is assumed that a feasible solution can be constructed in two stages. In the first stage the objective function costs are known while in the second stage they are…

Data Structures and Algorithms · Computer Science 2020-05-22 Marc Goerigk , Adam Kasperski , Pawel Zielinski

In this paper we present a novel mathematical optimization-based methodology to construct tree-shaped classification rules for multiclass instances. Our approach consists of building Classification Trees in which, except for the leaf nodes,…

Optimization and Control · Mathematics 2021-11-17 Víctor Blanco , Alberto Japón , Justo Puerto
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