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We introduce the \emph{Correlated Preference Bandits} problem with random utility-based choice models (RUMs), where the goal is to identify the best item from a given pool of $n$ items through online subsetwise preference feedback. We…

Machine Learning · Computer Science 2022-02-25 Suprovat Ghoshal , Aadirupa Saha

We propose a new approach to address the text classification problems when learning with partial labels is beneficial. Instead of offering each training sample a set of candidate labels, we assign negative-oriented labels to the ambiguous…

Machine Learning · Statistics 2019-06-11 Jiangning Chen , Zhibo Dai , Juntao Duan , Qianli Hu , Ruilin Li , Heinrich Matzinger , Ionel Popescu , Haoyan Zhai

We consider a weakly supervised learning problem called Learning from Label Proportions (LLP), where examples are grouped into ``bags'' and only the average label within each bag is revealed to the learner. We study various learning rules…

Machine Learning · Computer Science 2024-06-04 Gene Li , Lin Chen , Adel Javanmard , Vahab Mirrokni

Convex regularizers are often used for sparse learning. They are easy to optimize, but can lead to inferior prediction performance. The difference of $\ell_1$ and $\ell_2$ ($\ell_{1-2}$) regularizer has been recently proposed as a nonconvex…

Machine Learning · Computer Science 2017-06-21 Quanming Yao , James T. Kwok , Xiawei Guo

We study the problem of learning classifiers with a fairness constraint, with three main contributions towards the goal of quantifying the problem's inherent tradeoffs. First, we relate two existing fairness measures to cost-sensitive…

Machine Learning · Computer Science 2017-05-26 Aditya Krishna Menon , Robert C. Williamson

Earlier studies have shown that classification accuracies of Bayesian networks (BNs) obtained by maximizing the conditional log likelihood (CLL) of a class variable, given the feature variables, were higher than those obtained by maximizing…

Machine Learning · Computer Science 2022-01-12 Shouta Sugahara , Maomi Ueno

We develop a convergence-rate analysis of momentum with cyclical step-sizes. We show that under some assumption on the spectral gap of Hessians in machine learning, cyclical step-sizes are provably faster than constant step-sizes. More…

Optimization and Control · Mathematics 2022-05-10 Baptiste Goujaud , Damien Scieur , Aymeric Dieuleveut , Adrien Taylor , Fabian Pedregosa

To collect large scale annotated data, it is inevitable to introduce label noise, i.e., incorrect class labels. To be robust against label noise, many successful methods rely on the noisy classifiers (i.e., models trained on the noisy…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Songzhu Zheng , Pengxiang Wu , Aman Goswami , Mayank Goswami , Dimitris Metaxas , Chao Chen

A new loss function is proposed for neural networks on classification tasks which extends the hinge loss by assigning gradients to its critical points. We will show that for a linear classifier on linearly separable data with fixed step…

Machine Learning · Computer Science 2020-06-26 Justin Lizama

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

Machine Learning · Computer Science 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

Pattern recognition based on a high-dimensional predictor is considered. A classifier is defined which is based on a Transformer encoder. The rate of convergence of the misclassification probability of the classifier towards the optimal…

Statistics Theory · Mathematics 2021-11-30 Iryna Gurevych , Michael Kohler , Gözde Gül Sahin

A mixture density, $f_p,$ is estimable in $R^d, \ d \ge 1,$ but an estimate for the mixing density, $p,$ is usually obtained only when $d$ is unity; $h$ is the mixture's kernel. When $f_p$'s estimate has form $f_{\hat p_n}$ and $p$ is…

Statistics Theory · Mathematics 2025-01-28 Yannis G. Yatracos

There is a fundamental limitation in the prediction performance that a machine learning model can achieve due to the inevitable uncertainty of the prediction target. In classification problems, this can be characterized by the Bayes error,…

Machine Learning · Computer Science 2023-03-14 Takashi Ishida , Ikko Yamane , Nontawat Charoenphakdee , Gang Niu , Masashi Sugiyama

Conventional wisdom dictates that learning rate should be in the stable regime so that gradient-based algorithms don't blow up. This letter introduces a simple scenario where an unstably large learning rate scheme leads to a super fast…

Machine Learning · Computer Science 2021-09-08 Samet Oymak

This paper investigates the phenomenon of benign overfitting in binary classification problems with heavy-tailed input distributions, extending the analysis of maximum margin classifiers to $\alpha$ sub-exponential distributions ($\alpha…

Machine Learning · Computer Science 2024-10-17 Kota Okudo , Kei Kobayashi

We consider learning methods based on the regularization of a convex empirical risk by a squared Hilbertian norm, a setting that includes linear predictors and non-linear predictors through positive-definite kernels. In order to go beyond…

Machine Learning · Computer Science 2019-06-19 Ulysse Marteau-Ferey , Dmitrii Ostrovskii , Francis Bach , Alessandro Rudi

Modern preference alignment techniques, such as Best-of-N (BoN) sampling, rely on reward models trained with pairwise comparison data. While effective at learning relative preferences, this paradigm fails to capture a signal of response…

Methodology · Statistics 2025-10-14 Hyung Gyu Rho , Sian Lee

In this paper a high speed neural network classifier based on extreme learning machines for multi-label classification problem is proposed and dis-cussed. Multi-label classification is a superset of traditional binary and multi-class…

Machine Learning · Computer Science 2016-09-06 Meng Joo Er , Rajasekar Venkatesan , Ning Wang

We study the problem of fair binary classification using the notion of Equal Opportunity. It requires the true positive rate to distribute equally across the sensitive groups. Within this setting we show that the fair optimal classifier is…

Statistics Theory · Mathematics 2020-02-05 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri , Luca Oneto , Massimiliano Pontil

A scheme for locally adaptive bandwidth selection is proposed which sensitively shrinks the bandwidth of a kernel estimator at lowest density regions such as the support boundary which are unknown to the statistician. In case of a…

Statistics Theory · Mathematics 2016-01-25 Tim Patschkowski , Angelika Rohde