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In medical image analysis, semi-supervised learning is an effective method to extract knowledge from a small amount of labeled data and a large amount of unlabeled data. This paper focuses on a popular pipeline known as self learning, and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-10 Xinyue Huo , Lingxi Xie , Jianzhong He , Zijie Yang , Qi Tian

In machine learning, one must acquire labels to help supervise a model that will be able to generalize to unseen data. However, the labeling process can be tedious, long, costly, and error-prone. It is often the case that most of our data…

Machine Learning · Computer Science 2020-09-29 Bruno Klaus de Aquino Afonso , Lilian Berton

The detection and estimation of signals in noisy, limited data is a problem of interest to many scientific and engineering communities. We present a computationally simple, sample eigenvalue based procedure for estimating the number of…

Information Theory · Computer Science 2007-07-13 N. Raj Rao , Alan Edelman

In active learning, acquisition functions define informativeness directly on the representation position within the model manifold. However, for most machine learning models (in particular neural networks) this representation is not fixed…

Machine Learning · Computer Science 2023-02-24 Ryan Benkert , Mohit Prabhushankar , Ghassan AlRegib , Armin Pacharmi , Enrique Corona

We present a simple and effective algorithm for the problem of \emph{sparse robust linear regression}. In this problem, one would like to estimate a sparse vector $w^* \in \mathbb{R}^n$ from linear measurements corrupted by sparse noise…

Data Structures and Algorithms · Computer Science 2019-01-08 Sushrut Karmalkar , Eric Price

Previous research has shown that constraining the gradient of loss function with respect to model-predicted probabilities can enhance the model robustness against noisy labels. These methods typically specify a fixed optimal threshold for…

Machine Learning · Computer Science 2024-12-24 Xichen Ye , Yifan Wu , Weizhong Zhang , Xiaoqiang Li , Yifan Chen , Cheng Jin

We establish optimal Statistical Query (SQ) lower bounds for robustly learning certain families of discrete high-dimensional distributions. In particular, we show that no efficient SQ algorithm with access to an $\epsilon$-corrupted binary…

Data Structures and Algorithms · Computer Science 2022-06-10 Ilias Diakonikolas , Daniel M. Kane , Yuxin Sun

We propose SLIM (Stochastic Learning and Inference in overidentified Models), a scalable stochastic approximation framework for nonlinear GMM. SLIM forms iterative updates from independent mini-batches of moments and their derivatives,…

Econometrics · Economics 2025-11-03 Xiaohong Chen , Min Seong Kim , Sokbae Lee , Myung Hwan Seo , Myunghyun Song

A Distributional (Single) Index Model (DIM) is a semi-parametric model for distributional regression, that is, estimation of conditional distributions given covariates. The method is a combination of classical single index models for the…

Methodology · Statistics 2022-08-04 Alexander Henzi , Gian-Reto Kleger , Johanna F. Ziegel

Recently, self-supervised learning (SSL) has been extensively studied. Theoretically, mutual information maximization (MIM) is an optimal criterion for SSL, with a strong theoretical foundation in information theory. However, it is…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Lele Chang , Peilin Liu , Qinghai Guo , Fei Wen

We consider the problem of training a model under the presence of label noise. Current approaches identify samples with potentially incorrect labels and reduce their influence on the learning process by either assigning lower weights to…

Machine Learning · Computer Science 2019-06-04 Duc Tam Nguyen , Thi-Phuong-Nhung Ngo , Zhongyu Lou , Michael Klar , Laura Beggel , Thomas Brox

In this work, we study statistical learning with dependent ($\beta$-mixing) data and square loss in a hypothesis class $\mathscr{F}\subset L_{\Psi_p}$ where $\Psi_p$ is the norm $\|f\|_{\Psi_p} \triangleq \sup_{m\geq 1} m^{-1/p} \|f\|_{L^m}…

Machine Learning · Computer Science 2025-04-02 Ingvar Ziemann , Stephen Tu , George J. Pappas , Nikolai Matni

In multi-objective learning (MOL), several possibly competing prediction tasks must be solved jointly by a single model. Achieving good trade-offs may require a model class $\mathcal{G}$ with larger capacity than what is necessary for…

Machine Learning · Statistics 2025-08-26 Tobias Wegel , Geelon So , Junhyung Park , Fanny Yang

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

In this paper we analyze a budgeted learning setting, in which the learner can only choose and observe a small subset of the attributes of each training example. We develop efficient algorithms for ridge and lasso linear regression, which…

Machine Learning · Computer Science 2014-10-24 Doron Kukliansky , Ohad Shamir

We introduce a new approach for designing computationally efficient learning algorithms that are tolerant to noise, and demonstrate its effectiveness by designing algorithms with improved noise tolerance guarantees for learning linear…

Machine Learning · Computer Science 2018-06-05 Pranjal Awasthi , Maria Florina Balcan , Philip M. Long

We consider the problem of Imitation Learning (IL) by actively querying noisy expert for feedback. While imitation learning has been empirically successful, much of prior work assumes access to noiseless expert feedback which is not…

Machine Learning · Computer Science 2023-07-12 Ayush Sekhari , Karthik Sridharan , Wen Sun , Runzhe Wu

Agnostic learning of Boolean halfspaces is a fundamental problem in computational learning theory, but it is known to be computationally hard even for weak learning. Recent work [CKKMK24] proposed smoothed analysis as a way to bypass such…

Machine Learning · Computer Science 2025-11-25 Yiwen Kou , Raghu Meka

Time series forecasting relies on predicting future values from historical data, yet most state-of-the-art approaches-including transformer and multilayer perceptron-based models-optimize using Mean Squared Error (MSE), which has two…

Machine Learning · Computer Science 2025-12-01 Jieting Wang , Xiaolei Shang , Feijiang Li , Furong Peng

We tackle the fundamental problem of Bayesian active learning with noise, where we need to adaptively select from a number of expensive tests in order to identify an unknown hypothesis sampled from a known prior distribution. In the case of…

Machine Learning · Computer Science 2013-12-17 Daniel Golovin , Andreas Krause , Debajyoti Ray