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In this article, we review the literature on statistical theories of neural networks from three perspectives: approximation, training dynamics and generative models. In the first part, results on excess risks for neural networks are…

Machine Learning · Statistics 2024-09-17 Namjoon Suh , Guang Cheng

Traditional deep learning algorithms often fail to generalize when they are tested outside of the domain of the training data. The issue can be mitigated by using unlabeled data from the target domain at training time, but because data…

Computer Vision and Pattern Recognition · Computer Science 2023-02-03 Thomas Duboudin , Emmanuel Dellandréa , Corentin Abgrall , Gilles Hénaff , Liming Chen

Despite the widespread practical success of deep learning methods, our theoretical understanding of the dynamics of learning in deep neural networks remains quite sparse. We attempt to bridge the gap between the theory and practice of deep…

Neural and Evolutionary Computing · Computer Science 2014-02-20 Andrew M. Saxe , James L. McClelland , Surya Ganguli

Much as replacing hand-designed features with learned functions has revolutionized how we solve perceptual tasks, we believe learned algorithms will transform how we train models. In this work we focus on general-purpose learned optimizers…

Machine Learning · Computer Science 2020-09-24 Luke Metz , Niru Maheswaranathan , C. Daniel Freeman , Ben Poole , Jascha Sohl-Dickstein

Deep neural networks (DNNs) achieve remarkable performance on a wide range of tasks, yet their mathematical analysis remains fragmented: stability and generalization are typically studied in disparate frameworks and on a case-by-case basis.…

Machine Learning · Statistics 2026-01-29 Jonathan Vacher

In this work, we propose an information theory based framework DeepMI to train deep neural networks (DNN) using Mutual Information (MI). The DeepMI framework is especially targeted but not limited to the learning of real world tasks in an…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Ashish Kumar , Laxmidhar Behera

We perform an empirical study of the behaviour of deep networks when fully linearizing some of its feature channels through a sparsity prior on the overall number of nonlinear units in the network. In experiments on image classification and…

Machine Learning · Computer Science 2023-06-02 Christian H. X. Ali Mehmeti-Göpel , Jan Disselhoff

Generalization is one of the fundamental issues in machine learning. However, traditional techniques like uniform convergence may be unable to explain generalization under overparameterization. As alternative approaches, techniques based on…

Machine Learning · Computer Science 2022-03-22 Jiaye Teng , Jianhao Ma , Yang Yuan

Deep neural networks (DNNs) have set benchmarks on a wide array of supervised learning tasks. Trained DNNs, however, often lack robustness to minor adversarial perturbations to the input, which undermines their true practicality. Recent…

Machine Learning · Computer Science 2018-11-20 Farzan Farnia , Jesse M. Zhang , David Tse

Multi-task learning is a very challenging problem in reinforcement learning. While training multiple tasks jointly allow the policies to share parameters across different tasks, the optimization problem becomes non-trivial: It remains…

Machine Learning · Computer Science 2020-12-08 Ruihan Yang , Huazhe Xu , Yi Wu , Xiaolong Wang

Deep neural networks (DNNs) play a crucial role in the field of machine learning, demonstrating state-of-the-art performance across various application domains. However, despite their success, DNN-based models may occasionally exhibit…

Machine Learning · Computer Science 2024-07-02 Guy Amir , Osher Maayan , Tom Zelazny , Guy Katz , Michael Schapira

Reliable generalization lies at the heart of safe ML and AI. However, understanding when and how neural networks generalize remains one of the most important unsolved problems in the field. In this work, we conduct an extensive empirical…

Enhancing the generalisation abilities of neural networks (NNs) through integrating noise such as MixUp or Dropout during training has emerged as a powerful and adaptable technique. Despite the proven efficacy of noise in NN training, there…

Machine Learning · Computer Science 2024-04-04 Martin Ferianc , Ondrej Bohdal , Timothy Hospedales , Miguel Rodrigues

Deep neural networks have achieved remarkable success in various challenging tasks. However, the black-box nature of such networks is not acceptable to critical applications, such as healthcare. In particular, the existence of adversarial…

Machine Learning · Computer Science 2019-09-12 Shaeke Salman , Seyedeh Neelufar Payrovnaziri , Xiuwen Liu , Pablo Rengifo-Moreno , Zhe He

Deep neural networks have introduced novel and useful tools to the machine learning community. Other types of classifiers can potentially make use of these tools as well to improve their performance and generality. This paper reviews the…

Machine Learning · Computer Science 2019-09-30 Alireza Ghods , Diane J Cook

Training deep neural networks is a very demanding task, especially challenging is how to adapt architectures to improve the performance of trained models. We can find that sometimes, shallow networks generalize better than deep networks,…

Machine Learning · Computer Science 2022-08-03 David Peer , Bart Keulen , Sebastian Stabinger , Justus Piater , Antonio Rodríguez-Sánchez

We address the fundamental question of why deep neural networks generalize by establishing a pointwise generalization theory for fully connected networks. This framework resolves long-standing barriers to characterizing the rich nonlinear…

Machine Learning · Computer Science 2026-05-19 Shaojie Li , Yunbei Xu

The problem of learning simultaneously several related tasks has received considerable attention in several domains, especially in machine learning with the so-called multitask learning problem or learning to learn problem [1], [2].…

Signal Processing · Electrical Eng. & Systems 2021-09-29 Roula Nassif , Stefan Vlaski , Cedric Richard , Jie Chen , Ali H. Sayed

Most existing neural network-based approaches for solving stochastic optimal control problems using the associated backward dynamic programming principle rely on the ability to simulate the underlying state variables. However, in some…

Machine Learning · Statistics 2024-01-30 Christian Yeo

While deep neural networks have surpassed human performance in multiple situations, they are prone to catastrophic forgetting: upon training a new task, they rapidly forget previously learned ones. Neuroscience studies, based on idealized…

Neural and Evolutionary Computing · Computer Science 2021-03-24 Axel Laborieux , Maxence Ernoult , Tifenn Hirtzlin , Damien Querlioz