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Learning a robust classifier from a few samples remains a key challenge in machine learning. A major thrust of research has been focused on developing $k$-nearest neighbor ($k$-NN) based algorithms combined with metric learning that…

Machine Learning · Statistics 2022-02-17 Shixiang Zhu , Liyan Xie , Minghe Zhang , Rui Gao , Yao Xie

In Learning Theory, the smoothness assumption on the target function (known as source condition) is a key factor in establishing theoretical convergence rates for an estimator. The existing general form of the source condition, as discussed…

Statistics Theory · Mathematics 2025-03-27 Naveen Gupta , S. Sivananthan

We propose a new active learning strategy designed for deep neural networks. The goal is to minimize the number of data annotation queried from an oracle during training. Previous active learning strategies scalable for deep networks were…

Machine Learning · Computer Science 2018-02-28 Melanie Ducoffe , Frederic Precioso

Neural network classifiers have become the de-facto choice for current "pre-train then fine-tune" paradigms of visual classification. In this paper, we investigate k-Nearest-Neighbor (k-NN) classifiers, a classical model-free learning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Menglin Jia , Bor-Chun Chen , Zuxuan Wu , Claire Cardie , Serge Belongie , Ser-Nam Lim

Robots can rapidly acquire new skills from demonstrations. However, during generalisation of skills or transitioning across fundamentally different skills, it is unclear whether the robot has the necessary knowledge to perform the task.…

Machine Learning · Statistics 2018-08-08 Nutan Chen , Alexej Klushyn , Alexandros Paraschos , Djalel Benbouzid , Patrick van der Smagt

Neural networks are not learning optimal decision boundaries. We show that decision boundaries are situated in areas of low training data density. They are impacted by few training samples which can easily lead to overfitting. We provide a…

Machine Learning · Computer Science 2023-10-09 Johannes Schneider

kNN based ensemble methods minimise the effect of outliers by identifying a set of data points in the given feature space that are nearest to an unseen observation in order to predict its response by using majority voting. The ordinary…

Machine Learning · Computer Science 2022-05-31 Amjad Ali , Muhammad Hamraz , Naz Gul , Dost Muhammad Khan , Zardad Khan , Saeed Aldahmani

We consider the stochastic approximation problem where a convex function has to be minimized, given only the knowledge of unbiased estimates of its gradients at certain points, a framework which includes machine learning methods based on…

Machine Learning · Computer Science 2013-06-11 Francis Bach , Eric Moulines

We study a generalization of classical active learning to real-world settings with concrete prediction targets where sampling is restricted to an accessible region of the domain, while prediction targets may lie outside this region. We…

Machine Learning · Computer Science 2025-02-11 Jonas Hübotter , Bhavya Sukhija , Lenart Treven , Yarden As , Andreas Krause

The k-Nearest Neighbors (kNN) classifier is a fundamental non-parametric machine learning algorithm. However, it is well known that it suffers from the curse of dimensionality, which is why in practice one often applies a kNN classifier on…

Machine Learning · Computer Science 2020-10-16 Luka Rimanic , Cedric Renggli , Bo Li , Ce Zhang

We explore the potential for using a nonsmooth loss function based on the max-norm in the training of an artificial neural network. We hypothesise that this may lead to superior classification results in some special cases where the…

Machine Learning · Computer Science 2021-07-20 Vinesha Peiris , Nadezda Sukhorukova , Vera Roshchina

Active learning is an established technique to reduce the labeling cost to build high-quality machine learning models. A core component of active learning is the acquisition function that determines which data should be selected to…

Machine Learning · Computer Science 2021-12-07 Yuejun Guo , Qiang Hu , Maxime Cordy , Mike Papadakis , Yves Le Traon

We investigate the problem of active learning in the streaming setting in non-parametric regimes, where the labels are stochastically generated from a class of functions on which we make no assumptions whatsoever. We rely on recently…

Machine Learning · Computer Science 2021-06-08 Pranjal Awasthi , Christoph Dann , Claudio Gentile , Ayush Sekhari , Zhilei Wang

We derive and analyze a new, efficient, pool-based active learning algorithm for halfspaces, called ALuMA. Most previous algorithms show exponential improvement in the label complexity assuming that the distribution over the instance space…

Machine Learning · Computer Science 2015-03-19 Alon Gonen , Sivan Sabato , Shai Shalev-Shwartz

Constructing neural networks for function approximation is a classical and longstanding topic in approximation theory. In this paper, we aim at constructing deep neural networks (deep nets for short) with three hidden layers to approximate…

Information Theory · Computer Science 2020-01-14 Xia Liu

Stochastic gradient descent (SGD) is a popular and efficient method with wide applications in training deep neural nets and other nonconvex models. While the behavior of SGD is well understood in the convex learning setting, the existing…

Machine Learning · Computer Science 2019-12-16 Yunwen Lei , Ting Hu , Guiying Li , Ke Tang

Neural Network-based active learning (NAL) is a cost-effective data selection technique that utilizes neural networks to select and train on a small subset of samples. While existing work successfully develops various effective or…

Machine Learning · Computer Science 2024-06-07 Dake Bu , Wei Huang , Taiji Suzuki , Ji Cheng , Qingfu Zhang , Zhiqiang Xu , Hau-San Wong

In this article, bipartite ranking, a statistical learning problem involved in many applications and widely studied in the passive context, is approached in a much more general \textit{active setting} than the discrete one previously…

Machine Learning · Statistics 2026-03-02 James Cheshire , Stephan Clémençon

Adam is widely adopted in practical applications due to its fast convergence. However, its theoretical analysis is still far from satisfactory. Existing convergence analyses for Adam rely on the bounded smoothness assumption, referred to as…

Machine Learning · Computer Science 2024-06-25 Bohan Wang , Yushun Zhang , Huishuai Zhang , Qi Meng , Ruoyu Sun , Zhi-Ming Ma , Tie-Yan Liu , Zhi-Quan Luo , Wei Chen

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

Machine Learning · Computer Science 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu