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Despite considerable theoretical progress in the training of neural networks viewed as a multi-agent system of neurons, particularly concerning biological plausibility and decentralized training, their applicability to real-world problems…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Arshia Soltani Moakhar , Mohammad Azizmalayeri , Hossein Mirzaei , Mohammad Taghi Manzuri , Mohammad Hossein Rohban

Oftentimes, machine learning applications using neural networks involve solving discrete optimization problems, such as in pruning, parameter-isolation-based continual learning and training of binary networks. Still, these discrete problems…

Machine Learning · Computer Science 2024-02-19 Hugo Silva , Martha White

Nonlinear conjugate gradient (NLCG) based optimizers have shown superior loss convergence properties compared to gradient descent based optimizers for traditional optimization problems. However, in Deep Neural Network (DNN) training, the…

Machine Learning · Computer Science 2019-11-21 Saurabh Adya , Vinay Palakkode , Oncel Tuzel

Large-scale convolutional neural networks (CNNs) suffer from very long training times, spanning from hours to weeks, limiting the productivity and experimentation of deep learning practitioners. As networks grow in size and complexity,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Aditya Rajagopal , Diederik Adriaan Vink , Stylianos I. Venieris , Christos-Savvas Bouganis

Training convolutional neural networks (CNNs) on high-resolution images is often bottlenecked by the cost of evaluating gradients of the loss on the finest spatial mesh. To address this, we propose Multiscale Gradient Estimation (MGE), a…

Machine Learning · Computer Science 2026-03-03 Shadab Ahamed , Niloufar Zakariaei , Eldad Haber , Moshe Eliasof

Deep neural networks (DNNs) have revolutionized the field of artificial intelligence and have achieved unprecedented success in cognitive tasks such as image and speech recognition. Training of large DNNs, however, is computationally…

Deep neural networks are gaining in popularity as they are used to generate state-of-the-art results for a variety of computer vision and machine learning applications. At the same time, these networks have grown in depth and complexity in…

Neural and Evolutionary Computing · Computer Science 2016-12-14 Soheil Hashemi , Nicholas Anthony , Hokchhay Tann , R. Iris Bahar , Sherief Reda

This paper investigates whether sequence models can learn to perform numerical algorithms, e.g. gradient descent, on the fundamental problem of least squares. Our goal is to inherit two properties of standard algorithms from numerical…

Machine Learning · Computer Science 2025-03-18 Jerry Liu , Jessica Grogan , Owen Dugan , Ashish Rao , Simran Arora , Atri Rudra , Christopher Ré

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

Machine Learning · Computer Science 2025-12-23 Ansh Nagwekar

In this paper, we evaluate training of deep recurrent neural networks with half-precision floats. We implement a distributed, data-parallel, synchronous training algorithm by integrating TensorFlow and CUDA-aware MPI to enable execution…

Machine Learning · Computer Science 2019-12-03 Alexey Svyatkovskiy , Julian Kates-Harbeck , William Tang

Deep neural networks are usually trained with stochastic gradient descent (SGD), which minimizes objective function using very rough approximations of gradient, only averaging to the real gradient. Standard approaches like momentum or ADAM…

Machine Learning · Computer Science 2023-03-14 Jarek Duda

The GMRES method is used to solve sparse, non-symmetric systems of linear equations arising from many scientific applications. The solver performance within a single node is memory bound, due to the low arithmetic intensity of its…

Numerical Analysis · Mathematics 2020-11-04 Neil Lindquist , Piotr Luszczek , Jack Dongarra

Although the neural network (NN) technique plays an important role in machine learning, understanding the mechanism of NN models and the transparency of deep learning still require more basic research. In this study, we propose a novel…

Machine Learning · Computer Science 2023-11-10 Shuyue Guan , Murray Loew

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

Machine Learning · Computer Science 2023-09-25 Basile Lewandowski , Atli Kosson

Low-precision arithmetic has had a transformative effect on the training of neural networks, reducing computation, memory and energy requirements. However, despite its promise, low-precision arithmetic has received little attention for…

Machine Learning · Computer Science 2022-07-15 Wesley J. Maddox , Andres Potapczynski , Andrew Gordon Wilson

Reduced numerical precision is a common technique to reduce computational cost in many Deep Neural Networks (DNNs). While it has been observed that DNNs are resilient to small errors and noise, no general result exists that is capable of…

Machine Learning · Statistics 2018-05-04 Zhaoqi Li , Yu Ma , Catalina Vajiac , Yunkai Zhang

This work investigates how using reduced precision data in Convolutional Neural Networks (CNNs) affects network accuracy during classification. More specifically, this study considers networks where each layer may use different precision…

While first-order optimization methods such as stochastic gradient descent (SGD) are popular in machine learning (ML), they come with well-known deficiencies, including relatively-slow convergence, sensitivity to the settings of…

Optimization and Control · Mathematics 2018-02-19 Peng Xu , Farbod Roosta-Khorasani , Michael W. Mahoney

Lowering the precision of neural networks from the prevalent 32-bit precision has long been considered harmful to performance, despite the gain in space and time. Many works propose various techniques to implement half-precision neural…

Machine Learning · Computer Science 2024-05-06 Juyoung Yun , Byungkon Kang , Zhoulai Fu

Deep Neural Networks (DNN) represent a performance-hungry application. Floating-Point (FP) and custom floating-point-like arithmetic satisfies this hunger. While there is need for speed, inference in DNNs does not seem to have any need for…

Machine Learning · Computer Science 2020-02-11 Christoph Lauter , Anastasia Volkova