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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

Recent research on the grokking phenomenon has illuminated the intricacies of neural networks' training dynamics and their generalization behaviors. Grokking refers to a sharp rise of the network's generalization accuracy on the test set,…

Machine Learning · Computer Science 2024-05-31 Simin Fan , Razvan Pascanu , Martin Jaggi

Deep Neural Networks (DNNs) have obtained impressive performance across tasks, however they still remain as black boxes, e.g., hard to theoretically analyze. At the same time, Polynomial Networks (PNs) have emerged as an alternative method…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Grigorios G Chrysos , Bohan Wang , Jiankang Deng , Volkan Cevher

Recent advancements in machine learning and signal processing domains have resulted in an extensive surge of interest in Deep Neural Networks (DNNs) due to their unprecedented performance and high accuracy for different and challenging…

Machine Learning · Computer Science 2021-02-04 Atefeh Shahroudnejad

It is frequently observed that overparameterized neural networks generalize well. Regarding such phenomena, existing theoretical work mainly devotes to linear settings or fully-connected neural networks. This paper studies the learning…

Machine Learning · Statistics 2023-08-17 Tian-Yi Zhou , Xiaoming Huo

Even when massively overparameterized, deep neural networks show a remarkable ability to generalize. Research on this phenomenon has focused on generalization within distribution, via smooth interpolation. Yet in some settings neural…

Machine Learning · Computer Science 2025-08-07 Loek van Rossem , Andrew M. Saxe

Over-parameterized deep neural networks (DNNs) with sufficient capacity to memorize random noise can achieve excellent generalization performance, challenging the bias-variance trade-off in classical learning theory. Recent studies claimed…

Machine Learning · Computer Science 2022-11-15 Xiao Zhang , Haoyi Xiong , Dongrui Wu

Generalization of deep neural networks remains one of the main open problems in machine learning. Previous theoretical works focused on deriving tight bounds of model complexity, while empirical works revealed that neural networks exhibit…

Machine Learning · Computer Science 2022-01-31 James Wang , Cheng-Lin Yang

Deep neural networks are effective feature extractors but they are prohibitively large for deployment scenarios. Due to the huge number of parameters, interpretability of parameters in different layers is not straight-forward. This is why…

Computation and Language · Computer Science 2021-12-23 Saeed Damadi

Reinforcement learning systems require good representations to work well. For decades practical success in reinforcement learning was limited to small domains. Deep reinforcement learning systems, on the other hand, are scalable, not…

Machine Learning · Computer Science 2020-03-18 Sina Ghiassian , Banafsheh Rafiee , Yat Long Lo , Adam White

The generalization mystery in deep learning is the following: Why do over-parameterized neural networks trained with gradient descent (GD) generalize well on real datasets even though they are capable of fitting random datasets of…

Machine Learning · Computer Science 2022-06-07 Satrajit Chatterjee , Piotr Zielinski

Deep learning relies on a very specific kind of neural networks: those superposing several neural layers. In the last few years, deep learning achieved major breakthroughs in many tasks such as image analysis, speech recognition, natural…

Artificial Intelligence · Computer Science 2018-02-01 Lê Nguyên Hoang , Rachid Guerraoui

Deep neural network (DNN) models have achieved phenomenal success for applications in many domains, ranging from academic research in science and engineering to industry and business. The modeling power of DNN is believed to have come from…

Machine Learning · Computer Science 2024-10-08 Beomseok Seo , Lin Lin , Jia Li

The ability of deep neural networks to generalise well even when they interpolate their training data has been explained using various "simplicity biases". These theories postulate that neural networks avoid overfitting by first learning…

Machine Learning · Statistics 2023-05-29 Maria Refinetti , Alessandro Ingrosso , Sebastian Goldt

Background: It is still an open research area to theoretically understand why Deep Neural Networks (DNNs)---equipped with many more parameters than training data and trained by (stochastic) gradient-based methods---often achieve remarkably…

Machine Learning · Computer Science 2018-11-30 Zhiqin John Xu

Deep neural networks (DNN) are the state of the art on many engineering problems such as computer vision and audition. A key factor in the success of the DNN is scalability - bigger networks work better. However, the reason for this…

Machine Learning · Computer Science 2015-02-13 Andrew J. R. Simpson

Generative Flow Networks (GFlowNets, GFNs) are a generative framework for learning unnormalized probability mass functions over discrete spaces. Since their inception, GFlowNets have proven to be useful for learning generative models in…

Machine Learning · Computer Science 2025-04-17 Lazar Atanackovic , Emmanuel Bengio

The easiness at which adversarial instances can be generated in deep neural networks raises some fundamental questions on their functioning and concerns on their use in critical systems. In this paper, we draw a connection between…

Machine Learning · Computer Science 2018-03-02 Mahdieh Abbasi , Christian Gagné

Inspired by BatchNorm, there has been an explosion of normalization layers in deep learning. Recent works have identified a multitude of beneficial properties in BatchNorm to explain its success. However, given the pursuit of alternative…

Machine Learning · Computer Science 2021-10-27 Ekdeep Singh Lubana , Robert P. Dick , Hidenori Tanaka

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