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Deep neural networks usually perform poorly when the training dataset suffers from extreme class imbalance. Recent studies found that directly training with out-of-distribution data (i.e., open-set samples) in a semi-supervised manner would…

Machine Learning · Computer Science 2022-07-06 Hongxin Wei , Lue Tao , Renchunzi Xie , Lei Feng , Bo An

We study density estimation for classes of shift-invariant distributions over $\mathbb{R}^d$. A multidimensional distribution is "shift-invariant" if, roughly speaking, it is close in total variation distance to a small shift of it in any…

Machine Learning · Computer Science 2018-11-12 Anindya De , Philip M. Long , Rocco A. Servedio

The paper proposes a family of communication efficient methods for distributed learning in heterogeneous environments in which users obtain data from one of $K$ different distributions. In the proposed setup, the grouping of users (based on…

Machine Learning · Computer Science 2023-10-24 Aleksandar Armacki , Dragana Bajovic , Dusan Jakovetic , Soummya Kar

This paper is concerned with functional learning by utilizing two-stage sampled distribution regression. We study a multi-penalty regularization algorithm for distribution regression under the framework of learning theory. The algorithm…

Machine Learning · Computer Science 2023-11-30 Zhan Yu , Daniel W. C. Ho

In many real-world applications, from robotics to pedestrian trajectory prediction, there is a need to predict multiple real-valued outputs to represent several potential scenarios. Current deep learning techniques to address…

Machine Learning · Computer Science 2023-12-20 David D. Nguyen , David Liebowitz , Surya Nepal , Salil S. Kanhere

We provide a lowerbound on the sample complexity of distribution-free parity learning in the realizable case in the shuffle model of differential privacy. Namely, we show that the sample complexity of learning $d$-bit parity functions is…

Machine Learning · Computer Science 2021-03-30 Kobbi Nissim , Chao Yan

Let $p$ be an unknown and arbitrary probability distribution over $[0,1)$. We consider the problem of {\em density estimation}, in which a learning algorithm is given i.i.d. draws from $p$ and must (with high probability) output a…

Machine Learning · Computer Science 2014-11-04 Siu-On Chan , Ilias Diakonikolas , Rocco A. Servedio , Xiaorui Sun

We give a new algorithm for learning mixtures of $k$ Gaussians (with identity covariance in $\mathbb{R}^n$) to TV error $\varepsilon$, with quasi-polynomial ($O(n^{\text{poly\,log}\left(\frac{n+k}{\varepsilon}\right)})$) time and sample…

Machine Learning · Computer Science 2025-03-05 Khashayar Gatmiry , Jonathan Kelner , Holden Lee

In the problem of learning with label proportions, which we call LLP learning, the training data is unlabeled, and only the proportions of examples receiving each label are given. The goal is to learn a hypothesis that predicts the…

Machine Learning · Computer Science 2020-04-08 Benjamin Fish , Lev Reyzin

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

Machine Learning · Computer Science 2013-05-21 Mehrdad Mahdavi , Rong Jin

We study the minimax sample complexity of multicalibration in the batch setting. A learner observes $n$ i.i.d. samples from an unknown distribution and must output a (possibly randomized) predictor whose population multicalibration error,…

Machine Learning · Computer Science 2026-04-24 Natalie Collina , Jiuyao Lu , Georgy Noarov , Aaron Roth

In Open-set Supervised Anomaly Detection (OSAD), the existing methods typically generate pseudo anomalies to compensate for the scarcity of observed anomaly samples, while overlooking critical priors of normal samples, leading to less…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Fuyun Wang , Tong Zhang , Yuanzhi Wang , Yide Qiu , Xin Liu , Xu Guo , Zhen Cui

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Traditional machine learning paradigms are based on the assumption that both training and test data follow the same statistical pattern, which is mathematically referred to as Independent and Identically Distributed ($i.i.d.$). However, in…

Machine Learning · Computer Science 2023-07-28 Jiashuo Liu , Zheyan Shen , Yue He , Xingxuan Zhang , Renzhe Xu , Han Yu , Peng Cui

Selectivity estimation - the problem of estimating the result size of queries - is a fundamental problem in databases. Accurate estimation of query selectivity involving multiple correlated attributes is especially challenging. Poor…

Databases · Computer Science 2019-06-19 Shohedul Hasan , Saravanan Thirumuruganathan , Jees Augustine , Nick Koudas , Gautam Das

Long-tailed distributions frequently emerge in real-world data, where a large number of minority categories contain a limited number of samples. Such imbalance issue considerably impairs the performance of standard supervised learning…

Machine Learning · Computer Science 2024-03-15 Chaoqun Du , Yulin Wang , Shiji Song , Gao Huang

We expect the generalization error to improve with more samples from a similar task, and to deteriorate with more samples from an out-of-distribution (OOD) task. In this work, we show a counter-intuitive phenomenon: the generalization error…

Machine Learning · Computer Science 2023-07-20 Ashwin De Silva , Rahul Ramesh , Carey E. Priebe , Pratik Chaudhari , Joshua T. Vogelstein

We study the problem of learning from unlabeled samples very general statistical mixture models on large finite sets. Specifically, the model to be learned, $\vartheta$, is a probability distribution over probability distributions $p$,…

Machine Learning · Computer Science 2015-04-13 Jian Li , Yuval Rabani , Leonard J. Schulman , Chaitanya Swamy

Learning from a limited number of samples is challenging since the learned model can easily become overfitted based on the biased distribution formed by only a few training examples. In this paper, we calibrate the distribution of these…

Machine Learning · Computer Science 2021-08-17 Shuo Yang , Lu Liu , Min Xu

The classical PAC sample complexity bounds are stated for any Empirical Risk Minimizer (ERM) and contain an extra logarithmic factor $\log(1/{\epsilon})$ which is known to be necessary for ERM in general. It has been recently shown by…

Machine Learning · Computer Science 2020-05-26 Olivier Bousquet , Steve Hanneke , Shay Moran , Nikita Zhivotovskiy