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The classical perceptron rule provides a varying upper bound on the maximum margin, namely the length of the current weight vector divided by the total number of updates up to that time. Requiring that the perceptron updates its internal…

Machine Learning · Computer Science 2011-05-31 Constantinos Panagiotakopoulos , Petroula Tsampouka

The goal of a learner, in standard online learning, is to have the cumulative loss not much larger compared with the best-performing function from some fixed class. Numerous algorithms were shown to have this gap arbitrarily close to zero,…

Machine Learning · Computer Science 2013-03-04 Nina Vaits , Edward Moroshko , Koby Crammer

Given a set $V$ of $n$ objects, an online ranking system outputs at each time step a full ranking of the set, observes a feedback of some form and suffers a loss. We study the setting in which the (adversarial) feedback is an element in…

Machine Learning · Computer Science 2013-10-15 Nir Ailon

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

Statistics Theory · Mathematics 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

A central challenge in machine learning is to distinguish genuine structure from chance correlations in high-dimensional data. In this work, we address this issue for the perceptron, a foundational model of neural computation. Specifically,…

Information Theory · Computer Science 2025-12-02 Yingying Xu , Masayuki Ohzeki , Yoshiyuki Kabashima

We consider sequential maximization of performance metrics that are general functions of a confusion matrix of a classifier (such as precision, F-measure, or G-mean). Such metrics are, in general, non-decomposable over individual instances,…

Machine Learning · Computer Science 2024-06-24 Wojciech Kotłowski , Marek Wydmuch , Erik Schultheis , Rohit Babbar , Krzysztof Dembczyński

This work presents a systematic theoretical and empirical comparison of the major algorithms that have been proposed for learning Harmonic and Optimality Theory grammars (HG and OT, respectively). By comparing learning algorithms, we are…

Computation and Language · Computer Science 2017-02-21 Ann Irvine , Mark Dredze

Sequential change-point detection when the distribution parameters are unknown is a fundamental problem in statistics and machine learning. When the post-change parameters are unknown, we consider a set of detection procedures based on…

Statistics Theory · Mathematics 2017-12-06 Yang Cao , Liyan Xie , Yao Xie , Huan Xu

Generative Adversarial Networks (GAN) have demonstrated the potential to recover realistic details for single image super-resolution (SISR). To further improve the visual quality of super-resolved results, PIRM2018-SR Challenge employed…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Wenlong Zhang , Yihao Liu , Chao Dong , Yu Qiao

A perceptron with N random weights can store of the order of N patterns by removing a fraction of the weights without changing their strengths. The critical storage capacity as a function of the concentration of the remaining bonds for…

Disordered Systems and Neural Networks · Physics 2016-08-31 B. Lopez , W. Kinzel

Online learning to rank (OLTR) via implicit feedback has been extensively studied for document retrieval in cases where the feedback is available at the level of individual items. To learn from item-level feedback, the current algorithms…

Information Retrieval · Computer Science 2019-01-10 Chang Li , Artem Grotov , Ilya Markov , Maarten de Rijke

Anomaly detection is an important task in many real world applications such as fraud detection, suspicious activity detection, health care monitoring etc. In this paper, we tackle this problem from supervised learning perspective in online…

Machine Learning · Computer Science 2015-08-28 Chandresh Kumar Maurya , Durga Toshniwal , Gopalan Vijendran Venkoparao

Evaluation metrics in machine learning are often hardly taken as loss functions, as they could be non-differentiable and non-decomposable, e.g., average precision and F1 score. This paper aims to address this problem by revisiting the…

Machine Learning · Computer Science 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu

We consider the problem of sequential decision making under uncertainty in which the loss caused by a decision depends on the following binary observation. In competitive on-line learning, the goal is to design decision algorithms that are…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

We investigate the generalization ability of a perceptron with non-monotonic transfer function of a reversed-wedge type in on-line mode. This network is identical to a parity machine, a multilayer network. We consider several learning…

Disordered Systems and Neural Networks · Physics 2009-10-30 Jun-ichi Inoue , Hidetoshi Nishimori , Yoshiyuki Kabashima

Learning to rank is a key component of many e-commerce search engines. In learning to rank, one is interested in optimising the global ordering of a list of items according to their utility for users.Popular approaches learn a scoring…

Information Retrieval · Computer Science 2021-05-25 Przemysław Pobrotyn , Tomasz Bartczak , Mikołaj Synowiec , Radosław Białobrzeski , Jarosław Bojar

We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the true function at the next revealed point using the available…

Statistics Theory · Mathematics 2022-04-01 Sabyasachi Chatterjee , Subhajit Goswami

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

Machine Learning · Computer Science 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

Ranking is a key aspect of many applications, such as information retrieval, question answering, ad placement and recommender systems. Learning to rank has the goal of estimating a ranking model automatically from training data. In…

Information Retrieval · Computer Science 2015-02-10 Truyen Tran , Dinh Phung , Svetha Venkatesh

In this paper, we introduce the gated perceptron, an enhancement of the conventional perceptron, which incorporates an additional input computed as the product of the existing inputs. This allows the perceptron to capture non-linear…

Machine Learning · Computer Science 2024-09-25 Slimane Larabi