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Dynamic adaptation in single-neuron response plays a fundamental role in neural coding in biological neural networks. Yet, most neural activation functions used in artificial networks are fixed and mostly considered as an inconsequential…

Machine Learning · Computer Science 2020-06-23 Victor Geadah , Giancarlo Kerg , Stefan Horoi , Guy Wolf , Guillaume Lajoie

It is widely conjectured that the reason that training algorithms for neural networks are successful because all local minima lead to similar performance, for example, see (LeCun et al., 2015, Choromanska et al., 2015, Dauphin et al.,…

Machine Learning · Computer Science 2018-03-06 Shiyu Liang , Ruoyu Sun , Yixuan Li , R. Srikant

This paper presents a study of robust policy networks in deep reinforcement learning. We investigate the benefits of policy parameterizations that naturally satisfy constraints on their Lipschitz bound, analyzing their empirical performance…

Machine Learning · Computer Science 2025-02-07 Nicholas H. Barbara , Ruigang Wang , Ian R. Manchester

Active learning has proven to be useful for minimizing labeling costs by selecting the most informative samples. However, existing active learning methods do not work well in realistic scenarios such as imbalance or rare classes,…

Machine Learning · Computer Science 2021-11-05 Suraj Kothawade , Nathan Beck , Krishnateja Killamsetty , Rishabh Iyer

Neurons in the brain communicate with each other through discrete action spikes as opposed to continuous signal transmission in artificial neural networks. Therefore, the traditional techniques for optimization of parameters in neural…

Machine Learning · Computer Science 2020-05-13 Sneha Aenugu

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

Machine Learning · Computer Science 2026-04-21 Kutomanov Hennadii

Traditional models of active learning assume a learner can directly manipulate or query a covariate $X$ in order to study its relationship with a response $Y$. However, if $X$ is a feature of a complex system, it may be possible only to…

Statistics Theory · Mathematics 2023-01-24 Shashank Singh

The training of artificial neural networks (ANNs) is nowadays a highly relevant algorithmic procedure with many applications in science and industry. Roughly speaking, ANNs can be regarded as iterated compositions between affine linear…

Optimization and Control · Mathematics 2022-07-14 Simon Eberle , Arnulf Jentzen , Adrian Riekert , Georg Weiss

We present a new active sampling method we call min-margin which trains multiple learners on bootstrap samples and then chooses the examples to label based on the candidates' minimum margin amongst the bootstrapped models. This extends…

Machine Learning · Computer Science 2019-06-04 Heinrich Jiang , Maya Gupta

Active learning is typically used to label data, when the labeling process is expensive. Several active learning algorithms have been theoretically proved to perform better than their passive counterpart. However, these algorithms rely on…

Machine Learning · Computer Science 2021-02-23 Boris Ndjia Njike , Xavier Siebert

The theory of training deep networks has become a central question of modern machine learning and has inspired many practical advancements. In particular, the gradient descent (GD) optimization algorithm has been extensively studied in…

Optimization and Control · Mathematics 2025-10-29 Alexandru Crăciun , Debarghya Ghoshdastidar

We develop a new active learning algorithm for the streaming setting satisfying three important properties: 1) It provably works for any classifier representation and classification problem including those with severe noise. 2) It is…

Machine Learning · Computer Science 2016-01-08 Tzu-Kuo Huang , Alekh Agarwal , Daniel J. Hsu , John Langford , Robert E. Schapire

In this work we propose lifted regression/reconstruction networks (LRRNs), which combine lifted neural networks with a guaranteed Lipschitz continuity property for the output layer. Lifted neural networks explicitly optimize an energy model…

Machine Learning · Computer Science 2020-05-08 Rasmus Kjær Høier , Christopher Zach

A central question for active learning (AL) is: "what is the optimal selection?" Defining optimality by classifier loss produces a new characterisation of optimal AL behaviour, by treating expected loss reduction as a statistical target for…

Machine Learning · Statistics 2015-02-06 Lewis P. G. Evans , Niall M. Adams , Christoforos Anagnostopoulos

This paper presents an investigation of the approximation property of neural networks with unbounded activation functions, such as the rectified linear unit (ReLU), which is the new de-facto standard of deep learning. The ReLU network can…

Neural and Evolutionary Computing · Computer Science 2019-02-27 Sho Sonoda , Noboru Murata

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

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

Machine Learning · Computer Science 2025-11-11 Longqing Ye

Active learning aims to obtain a classifier of high accuracy by using fewer label requests in comparison to passive learning by selecting effective queries. Many active learning methods have been developed in the past two decades, which…

Machine Learning · Computer Science 2016-08-08 Cem Orhan , Öznur Taştan

Backpropagation is driving today's artificial neural networks (ANNs). However, despite extensive research, it remains unclear if the brain implements this algorithm. Among neuroscientists, reinforcement learning (RL) algorithms are often…

Neurons and Cognition · Quantitative Biology 2020-04-24 Benjamin James Lansdell , Prashanth Ravi Prakash , Konrad Paul Kording

We study distribution-free nonparametric regression following a notion of average smoothness initiated by Ashlagi et al. (2021), which measures the "effective" smoothness of a function with respect to an arbitrary unknown underlying…

Machine Learning · Computer Science 2024-02-14 Steve Hanneke , Aryeh Kontorovich , Guy Kornowski