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We propose an active-learning method for nonlinear minimax regression. Given a nonlinear function that can be arbitrarily evaluated over a compact set, we fit a surrogate model, such as a feedforward neural network, by minimizing the…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Alberto Bemporad

Certified robustness is a desirable property for deep neural networks in safety-critical applications, and popular training algorithms can certify robustness of a neural network by computing a global bound on its Lipschitz constant.…

Machine Learning · Computer Science 2021-11-03 Yujia Huang , Huan Zhang , Yuanyuan Shi , J Zico Kolter , Anima Anandkumar

A Random Vector Functional Link (RVFL) network is a depth-2 neural network with random inner weights and biases. Only the outer weights of such an architecture are to be learned, so the learning process boils down to a linear optimization…

Machine Learning · Statistics 2025-06-26 Palina Salanevich , Olov Schavemaker

Active learning aims to develop label-efficient algorithms by querying the most representative samples to be labeled by a human annotator. Current active learning techniques either rely on model uncertainty to select the most uncertain…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Sayna Ebrahimi , William Gan , Dian Chen , Giscard Biamby , Kamyar Salahi , Michael Laielli , Shizhan Zhu , Trevor Darrell

Active learning is a unique abstraction of machine learning techniques where the model/algorithm could guide users for annotation of a set of data points that would be beneficial to the model, unlike passive machine learning. The primary…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 Vishwesh Nath , Dong Yang , Bennett A. Landman , Daguang Xu , Holger R. Roth

The goal of the paper is to design active learning strategies which lead to domain adaptation under an assumption of Lipschitz functions. Building on previous work by Mansour et al. (2009) we adapt the concept of discrepancy distance…

Machine Learning · Computer Science 2022-09-15 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Recent advances in one-shot learning have produced models that can learn from a handful of labeled examples, for passive classification and regression tasks. This paper combines reinforcement learning with one-shot learning, allowing the…

Machine Learning · Computer Science 2017-02-23 Mark Woodward , Chelsea Finn

We investigate the problem of active learning on a given tree whose nodes are assigned binary labels in an adversarial way. Inspired by recent results by Guillory and Bilmes, we characterize (up to constant factors) the optimal placement of…

Machine Learning · Computer Science 2013-01-23 Nicolo Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Labelled data often comes at a high cost as it may require recruiting human labelers or running costly experiments. At the same time, in many practical scenarios, one already has access to a partially labelled, potentially biased dataset…

Machine Learning · Computer Science 2021-06-15 Fnu Devvrit , Nived Rajaraman , Pranjal Awasthi

Activation functions are fundamental elements of deep learning architectures as they significantly influence training dynamics. ReLU, while widely used, is prone to the dying neuron problem, which has been mitigated by variants such as…

Machine Learning · Computer Science 2025-05-22 Indrashis Das , Mahmoud Safari , Steven Adriaensen , Frank Hutter

We consider the problem of learning an arbitrarily-biased ReLU activation (or neuron) over Gaussian marginals with the squared loss objective. Despite the ReLU neuron being the basic building block of modern neural networks, we still do not…

Machine Learning · Computer Science 2026-02-04 Anxin Guo , Aravindan Vijayaraghavan

We generalize the notion of average Lipschitz smoothness proposed by Ashlagi et al. (COLT 2021) by extending it to H\"older smoothness. This measure of the "effective smoothness" of a function is sensitive to the underlying distribution and…

Machine Learning · Computer Science 2023-10-31 Steve Hanneke , Aryeh Kontorovich , Guy Kornowski

Active learning is a paradigm of machine learning which aims at reducing the amount of labeled data needed to train a classifier. Its overall principle is to sequentially select the most informative data points, which amounts to determining…

Statistics Theory · Mathematics 2022-09-01 Christophe Denis , Mohamed Hebiri , Boris Ndjia Njike , Xavier Siebert

Self-training has greatly facilitated domain adaptive semantic segmentation, which iteratively generates pseudo labels on unlabeled target data and retrains the network. However, realistic segmentation datasets are highly imbalanced, pseudo…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Binhui Xie , Longhui Yuan , Shuang Li , Chi Harold Liu , Xinjing Cheng

Several works in computer vision have demonstrated the effectiveness of active learning for adapting the recognition model when new unlabeled data becomes available. Most of these works consider that labels obtained from the annotator are…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Sudipta Paul , Shivkumar Chandrasekaran , B. S. Manjunath , Amit K. Roy-Chowdhury

We prove that, for the fundamental regression task of learning a single neuron, training a one-hidden layer ReLU network of any width by gradient flow from a small initialisation converges to zero loss and is implicitly biased to minimise…

Machine Learning · Computer Science 2023-10-03 Dmitry Chistikov , Matthias Englert , Ranko Lazic

We present a new active learning algorithm based on nonparametric estimators of the regression function. Our investigation provides probabilistic bounds for the rates of convergence of the generalization error achievable by proposed method…

Statistics Theory · Mathematics 2011-11-03 Stanislav Minsker

The aim of Active Learning is to select the most informative samples from an unlabelled set of data. This is useful in cases where the amount of data is large and labelling is expensive, such as in machine vision or medical imaging. Two…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Julien Combes , Alexandre Derville , Jean-François Coeurjolly

An artificial neuron is modelled as a weighted summation followed by an activation function which determines its output. A wide variety of activation functions such as rectified linear units (ReLU), leaky-ReLU, Swish, MISH, etc. have been…

Machine Learning · Computer Science 2019-12-30 Fayyaz ul Amir Afsar Minhas , Amina Asif

Models that can actively seek out the best quality training data hold the promise of more accurate, adaptable, and efficient machine learning. Active learning techniques often tend to prefer examples that are the most difficult to classify.…

Machine Learning · Computer Science 2023-07-25 Savya Khosla , Chew Kin Whye , Jordan T. Ash , Cyril Zhang , Kenji Kawaguchi , Alex Lamb