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Randomly initialized neural networks induce a prior over functions, but the predictor used in practice is produced only after training. We ask how much of this initial bias survives the training pipeline. To make the question measurable, we…

Machine Learning · Computer Science 2026-05-29 Mohua Das , Pierfrancesco Beneventano , Shibshankar Dey , Gareth H. McKinkey , Tomaso Poggio

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

In settings where both spurious and causal predictors are available, standard neural networks trained under the objective of empirical risk minimization (ERM) with no additional inductive biases tend to have a dependence on a spurious…

Machine Learning · Computer Science 2025-03-07 Louis McConnell

The success of deep learning has sparked significant interest in designing computer hardware optimized for the high computational demands of neural network inference. As further miniaturization of digital CMOS processors becomes…

Machine Learning · Computer Science 2025-01-27 Xiao Wang , Hendrik Borras , Bernhard Klein , Holger Fröning

The success of deep learning has brought forth a wave of interest in computer hardware design to better meet the high demands of neural network inference. In particular, analog computing hardware has been heavily motivated specifically for…

Machine Learning · Computer Science 2020-01-15 Chuteng Zhou , Prad Kadambi , Matthew Mattina , Paul N. Whatmough

Analytic, first-principles performance modeling of distributed-memory applications is difficult due to a wide spectrum of random disturbances caused by the application and the system. These disturbances (commonly called "noise") destroy the…

Performance · Computer Science 2020-06-25 Ayesha Afzal , Georg Hager , Gerhard Wellein

Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach such a state by self-organizing towards the critical point…

Disordered Systems and Neural Networks · Physics 2021-03-10 Stefan Landmann , Lorenz Baumgarten , Stefan Bornholdt

Developing strong AI signifies the arrival of technological singularity, contributing greatly to advancing human civilization and resolving social issues. Neural networks (NNs) and deep learning, which utilize NNs, are expected to lead to…

Machine Learning · Computer Science 2024-09-09 Kei Itoh

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

Machine Learning · Computer Science 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

Regularization is typically understood as improving generalization by altering the landscape of local extrema to which the model eventually converges. Deep neural networks (DNNs), however, challenge this view: We show that removing…

Machine Learning · Computer Science 2019-06-03 Aditya Golatkar , Alessandro Achille , Stefano Soatto

Recently, over-parameterized deep networks, with increasingly more network parameters than training samples, have dominated the performances of modern machine learning. However, when the training data is corrupted, it has been well-known…

Machine Learning · Computer Science 2022-08-04 Sheng Liu , Zhihui Zhu , Qing Qu , Chong You

Deep learning in the presence of noisy annotations has been studied extensively in classification, but much less in segmentation tasks. In this work, we study the learning dynamics of deep segmentation networks trained on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Sheng Liu , Kangning Liu , Weicheng Zhu , Yiqiu Shen , Carlos Fernandez-Granda

Regularization is crucial to the success of many practical deep learning models, in particular in a more often than not scenario where there are only a few to a moderate number of accessible training samples. In addition to weight decay,…

Machine Learning · Computer Science 2018-08-07 Che-Wei Huang , Shrikanth S. Narayanan

Initialization plays a critical role in Deep Neural Network training, directly influencing convergence, stability, and generalization. Common approaches such as Glorot and He initializations rely on randomness, which can produce uneven…

Machine Learning · Computer Science 2025-12-11 Alberto Fernández-Hernández , Jose I. Mestre , Manuel F. Dolz , Jose Duato , Enrique S. Quintana-Ortí

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

Machine Learning · Computer Science 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

Deep neural networks are over-parameterized, which implies that the number of parameters are much larger than the number of samples used to train the network. Even in such a regime deep architectures do not overfit. This phenomenon is an…

Machine Learning · Computer Science 2019-02-01 Mayank Sharma , Aayush Yadav , Sumit Soman , Jayadeva

The discontinuous operations inherent in quantization and sparsification introduce a long-standing obstacle to backpropagation, particularly in ultra-low precision and sparse regimes. While the community has long viewed quantization as…

Machine Learning · Computer Science 2026-03-11 Chengxi Ye , Grace Chu , Yanfeng Liu , Yichi Zhang , Lukasz Lew , Li Zhang , Mark Sandler , Andrew Howard

The development of effective initialization methods requires an understanding of random neural networks. In this work, a rigorous probabilistic analysis of deep unbiased Leaky ReLU networks is provided. We prove a Law of Large Numbers and a…

Machine Learning · Statistics 2026-02-12 Constantin Kogler , Tassilo Schwarz , Samuel Kittle

It is well known that the kinetics of an intracellular biochemical network is stochastic. This is due to intrinsic noise arising from the random timing of biochemical reactions in the network as well as due to extrinsic noise stemming from…

Subcellular Processes · Quantitative Biology 2019-06-05 Emma M. Keizer , Bjorn Bastian , Robert W. Smith , Ramon Grima , Christian Fleck

In Deep Learning, Stochastic Gradient Descent (SGD) is usually selected as a training method because of its efficiency; however, recently, a problem in SGD gains research interest: sharp minima in Deep Neural Networks (DNNs) have poor…

Machine Learning · Computer Science 2018-12-04 Wei Wen , Yandan Wang , Feng Yan , Cong Xu , Chunpeng Wu , Yiran Chen , Hai Li
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