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Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however, training DNNs can be challenging in general. DNN training is commonly phrased as a stochastic optimization…

Machine Learning · Computer Science 2021-09-30 Elizabeth Newman , Julianne Chung , Matthias Chung , Lars Ruthotto

Recent advances in Scientific Machine Learning have shown that second-order methods can enhance the training of Physics-Informed Neural Networks (PINNs), making them a suitable alternative to traditional numerical methods for Partial…

Machine Learning · Computer Science 2025-10-27 Andrea Bonfanti , Ismael Medina , Roman List , Björn Staeves , Roberto Santana , Marco Ellero

We investigate the potential of applying (D)NN ((deep) neural networks) for approximating nonlinear mappings arising in the finite element discretization of nonlinear PDEs (partial differential equations). As an application, we apply the…

Numerical Analysis · Mathematics 2019-11-14 Tuyen Tran , Aidan Hamilton , Maricela Best McKay , Benjamin Quiring , Panayot S. Vassilevski

While deep neural networks (DNNs) are used for prediction, inference on DNN-estimated subject-specific means for categorical or exponential family outcomes remains underexplored. We address this by proposing a DNN estimator under…

Machine Learning · Statistics 2026-03-18 Xuran Meng , Yi Li

Modern advancements in large-scale machine learning would be impossible without the paradigm of data-parallel distributed computing. Since distributed computing with large-scale models imparts excessive pressure on communication channels,…

Machine Learning · Computer Science 2024-06-05 Egor Shulgin , Peter Richtárik

Deep neural networks (DNN) have achieved remarkable success in various fields, including computer vision and natural language processing. However, training an effective DNN model still poses challenges. This paper aims to propose a method…

Machine Learning · Computer Science 2024-07-03 Hejie Ying , Mengmeng Song , Yaohong Tang , Shungen Xiao , Zimin Xiao

The advent of fast sensing technologies allows for real-time model updates in many applications where the model parameters are uncertain. Bayesian algorithms, such as ensemble smoothers, offer a real-time probabilistic inversion accounting…

Geophysics · Physics 2022-05-26 Muzammil Hussain Rammay , Sergey Alyaev , Ahmed H Elsheikh

Pipeline parallelism (PP) when training neural networks enables larger models to be partitioned spatially, leading to both lower network communication and overall higher hardware utilization. Unfortunately, to preserve the statistical…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-11 Bowen Yang , Jian Zhang , Jonathan Li , Christopher Ré , Christopher R. Aberger , Christopher De Sa

Huge embedding tables in modern deep learning recommender models (DLRM) require prohibitively large memory during training and inference. This paper proposes FIITED, a system to automatically reduce the memory footprint via FIne-grained…

Information Retrieval · Computer Science 2024-10-15 Qinyi Luo , Penghan Wang , Wei Zhang , Fan Lai , Jiachen Mao , Xiaohan Wei , Jun Song , Wei-Yu Tsai , Shuai Yang , Yuxi Hu , Xuehai Qian

In practice, deep neural networks are often able to easily interpolate their training data. To understand this phenomenon, many works have aimed to quantify the memorization capacity of a neural network architecture: the largest number of…

Machine Learning · Statistics 2024-12-09 Sjoerd Dirksen , Patrick Finke , Martin Genzel

Deep neural networks (DNNs) often suffer from "catastrophic forgetting" during incremental learning (IL) --- an abrupt degradation of performance on the original set of classes when the training objective is adapted to a newly added set of…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Junting Zhang , Jie Zhang , Shalini Ghosh , Dawei Li , Serafettin Tasci , Larry Heck , Heming Zhang , C. -C. Jay Kuo

To facilitate efficient embedded and hardware implementations of deep neural networks (DNNs), two important categories of DNN model compression techniques: weight pruning and weight quantization are investigated. The former leverages the…

Machine Learning · Computer Science 2019-01-03 Ao Ren , Tianyun Zhang , Shaokai Ye , Jiayu Li , Wenyao Xu , Xuehai Qian , Xue Lin , Yanzhi Wang

Pruning deep neural networks is a widely used strategy to alleviate the computational burden in machine learning. Overwhelming empirical evidence suggests that pruned models retain very high accuracy even with a tiny fraction of parameters.…

Machine Learning · Computer Science 2023-09-27 Viplove Arora , Daniele Irto , Sebastian Goldt , Guido Sanguinetti

With the increasing size of Deep Neural Network (DNN) models, the high memory space requirements and computational complexity have become an obstacle for efficient DNN implementations. To ease this problem, using reduced-precision…

Machine Learning · Computer Science 2019-09-10 Jinming Lu , Siyuan Lu , Zhisheng Wang , Chao Fang , Jun Lin , Zhongfeng Wang , Li Du

Neural networks have seen limited use in prediction for high-dimensional data with small sample sizes, because they tend to overfit and require tuning many more hyperparameters than existing off-the-shelf machine learning methods. With…

Machine Learning · Statistics 2020-05-12 Jean Feng , Noah Simon

Deep Operator Networks (DeepONets) are among the most prominent frameworks for operator learning, grounded in the universal approximation theorem for operators. However, training DeepONets typically requires significant computational…

Machine Learning · Computer Science 2025-01-17 Hwijae Son

Pruning aims to reduce the number of parameters while maintaining performance close to the original network. This work proposes a novel \emph{self-distillation} based pruning strategy, whereby the representational similarity between the…

Machine Learning · Computer Science 2021-10-01 James O' Neill , Sourav Dutta , Haytham Assem

Parallel training of neural networks at scale is challenging due to significant overheads arising from communication. Recently, deep learning researchers have developed a variety of pruning algorithms that are capable of pruning (i.e.…

Machine Learning · Computer Science 2023-05-16 Siddharth Singh , Abhinav Bhatele

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

Machine Learning · Computer Science 2025-11-19 Takuro Kutsuna

We present a deep network interpolation strategy for accelerated parallel MR image reconstruction. In particular, we examine the network interpolation in parameter space between a source model that is formulated in an unrolled scheme with…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Chen Qin , Jo Schlemper , Kerstin Hammernik , Jinming Duan , Ronald M Summers , Daniel Rueckert