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Learning to rank is a supervised learning problem where the output space is the space of rankings but the supervision space is the space of relevance scores. We make theoretical contributions to the learning to rank problem both in the…

Machine Learning · Computer Science 2014-05-06 Sougata Chaudhuri , Ambuj Tewari

The accuracy of information retrieval systems is often measured using complex loss functions such as the average precision (AP) or the normalized discounted cumulative gain (NDCG). Given a set of positive and negative samples, the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Pritish Mohapatra , Michal Rolinek , C. V. Jawahar , Vladimir Kolmogorov , M. Pawan Kumar

Online classification is a central problem in optimization, statistical learning and data science. Classical algorithms such as the perceptron offer efficient updates and finite mistake guarantees on linearly separable data, but they do not…

Optimization and Control · Mathematics 2025-09-25 Nam Ho-Nguyen , Fatma Kılınç-Karzan , Ellie Nguyen , Lingqing Shen

Ordinal regression is an important type of learning, which has properties of both classification and regression. Here we describe a simple and effective approach to adapt a traditional neural network to learn ordinal categories. Our…

Machine Learning · Computer Science 2007-05-23 Jianlin Cheng

We consider an online learning to rank setting in which, at each round, an oblivious adversary generates a list of $m$ documents, pertaining to a query, and the learner produces scores to rank the documents. The adversary then generates a…

Machine Learning · Computer Science 2016-08-24 Sougata Chaudhuri , Ambuj Tewari

Listwise learning-to-rank methods form a powerful class of ranking algorithms that are widely adopted in applications such as information retrieval. These algorithms learn to rank a set of items by optimizing a loss that is a function of…

Machine Learning · Computer Science 2021-02-08 Sebastian Bruch

The classical Perceptron algorithm of Rosenblatt can be used to find a linear threshold function to correctly classify $n$ linearly separable data points, assuming the classes are separated by some margin $\gamma > 0$. A foundational result…

Machine Learning · Computer Science 2022-10-19 Guanghui Wang , Rafael Hanashiro , Etash Guha , Jacob Abernethy

While multivariate logistic regression classifiers are a great way of implementing collaborative filtering - a method of making automatic predictions about the interests of a user by collecting preferences or taste information from many…

Information Retrieval · Computer Science 2024-07-02 Arya Chakraborty

The goal of Ordinal Regression is to find a rule that ranks items from a given set. Several learning algorithms to solve this prediction problem build an ensemble of binary classifiers. Ranking by Projecting uses interdependent binary…

Machine Learning · Computer Science 2019-11-27 Ruy Luiz Milidiú , Rafael Henrique Santos Rocha

One-stage object detectors are trained by optimizing classification-loss and localization-loss simultaneously, with the former suffering much from extreme foreground-background class imbalance issue due to the large number of anchors. This…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Kean Chen , Weiyao Lin , Jianguo Li , John See , Ji Wang , Junni Zou

This paper presents a novel online learning method that aims at finding a separator hyperplane between data points labelled as either positive or negative. Since weights and biases of artificial neurons can directly be related to…

Machine Learning · Computer Science 2023-09-13 Ákos Hajnal

Cascade Ranking is a prevalent architecture in large-scale top-k selection systems like recommendation and advertising platforms. Traditional training methods focus on single-stage optimization, neglecting interactions between stages.…

Information Retrieval · Computer Science 2025-06-05 Yunli Wang , Zhen Zhang , Zhiqiang Wang , Zixuan Yang , Yu Li , Jian Yang , Shiyang Wen , Peng Jiang , Kun Gai

In this paper, we propose an online learning algorithm PRIL for learning ranking classifiers using interval labeled data and show its correctness. We show its convergence in finite number of steps if there exists an ideal classifier such…

Machine Learning · Computer Science 2018-02-13 Naresh Manwani

With the growing interest in quantum machine learning, the perceptron -- a fundamental building block in traditional machine learning -- has emerged as a valuable model for exploring quantum advantages. Two quantum perceptron algorithms…

Quantum Physics · Physics 2025-03-24 Xiaoyu Sun , Mathieu Roget , Giuseppe Di Molfetta , Hachem Kadri

Classification is the most important process in data analysis. However, due to the inherent non-convex and non-smooth structure of the zero-one loss function of the classification model, various convex surrogate loss functions such as hinge…

Machine Learning · Computer Science 2019-04-08 Hyenkyun Woo

The classical Perceptron algorithm provides a simple and elegant procedure for learning a linear classifier. In each step, the algorithm observes the sample's position and label and updates the current predictor accordingly if it makes a…

Machine Learning · Computer Science 2021-03-24 Saba Ahmadi , Hedyeh Beyhaghi , Avrim Blum , Keziah Naggita

We present a new method for online prediction and learning of tensors ($N$-way arrays, $N >2$) from sequential measurements. We focus on the specific case of 3-D tensors and exploit a recently developed framework of structured tensor…

Machine Learning · Statistics 2015-07-30 John Pothier , Josh Girson , Shuchin Aeron

We present Gaptron, a randomized first-order algorithm for online multiclass classification. In the full information setting we show expected mistake bounds with respect to the logistic loss, hinge loss, and the smooth hinge loss with…

Machine Learning · Computer Science 2021-03-01 Dirk van der Hoeven

We consider the problem of online multiclass classification with partial feedback, where an algorithm predicts a class for a new instance in each round and only receives its correctness. Although several methods have been developed for this…

Machine Learning · Computer Science 2019-02-05 Takuo Kaneko , Issei Sato , Masashi Sugiyama

Efficient online learning with pairwise loss functions is a crucial component in building large-scale learning system that maximizes the area under the Receiver Operator Characteristic (ROC) curve. In this paper we investigate the…

Machine Learning · Statistics 2013-01-24 Yuyang Wang , Roni Khardon , Dmitry Pechyony , Rosie Jones
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