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Stochastic Gradient Descent (SGD) is the most popular algorithm for training deep neural networks (DNNs). As larger networks and datasets cause longer training times, training on distributed systems is common and distributed SGD variants,…

机器学习 · 计算机科学 2019-06-17 Kwangmin Yu , Thomas Flynn , Shinjae Yoo , Nicholas D'Imperio

When applied to training deep neural networks, stochastic gradient descent (SGD) often incurs steady progression phases, interrupted by catastrophic episodes in which loss and gradient norm explode. A possible mitigation of such events is…

机器学习 · 统计学 2017-09-06 Alice Schoenauer-Sebag , Marc Schoenauer , Michèle Sebag

This paper presents a novel technique based on gradient boosting to train the final layers of a neural network (NN). Gradient boosting is an additive expansion algorithm in which a series of models are trained sequentially to approximate a…

机器学习 · 计算机科学 2023-05-05 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Stochastic gradient descent (SGD) is a popular stochastic optimization method in machine learning. Traditional parallel SGD algorithms, e.g., SimuParallel SGD, often require all nodes to have the same performance or to consume equal…

机器学习 · 计算机科学 2017-08-17 Cheng Daning , Li Shigang , Zhang Yunquan

Most reinforcement learning algorithms are inefficient for learning multiple tasks in complex robotic systems, where different tasks share a set of actions. In such environments a compound policy may be learnt with shared neural network…

机器学习 · 计算机科学 2018-03-01 Parijat Dewangan , S Phaniteja , K Madhava Krishna , Abhishek Sarkar , Balaraman Ravindran

In this paper, based on the limited memory techniques and subspace minimization conjugate gradient (SMCG) methods, a regularized limited memory subspace minimization conjugate gradient method is proposed, which contains two types of…

最优化与控制 · 数学 2023-01-10 Wumei Sun , Hongwei Liu , Zexian Liu

Neural networks are trained by optimizing multi-dimensional sets of fitting parameters on non-convex loss landscapes. Low-loss regions of the landscapes correspond to the parameter sets that perform well on the training data. A key issue in…

机器学习 · 计算机科学 2026-02-26 Jianneng Yu , Alexandre V. Morozov

Spiking neural networks (SNNs) represent the most prominent biologically inspired computing model for neuromorphic computing (NC) architectures. However, due to the non-differentiable nature of spiking neuronal functions, the standard error…

神经与进化计算 · 计算机科学 2020-07-01 Jibin Wu , Yansong Chua , Malu Zhang , Guoqi Li , Haizhou Li , Kay Chen Tan

Neural networks, a central tool in machine learning, have demonstrated remarkable, high fidelity performance on image recognition and classification tasks. These successes evince an ability to accurately represent high dimensional…

机器学习 · 统计学 2023-02-08 Grant M. Rotskoff , Eric Vanden-Eijnden

This paper presents a compact, matrix-based representation of neural networks in a self-contained tutorial fashion. Specifically, we develop neural networks as a composition of several vector-valued functions. Although neural networks are…

系统与控制 · 电气工程与系统科学 2022-12-01 Turibius Rozario , Arjun Trivedi , Ankit Goel

The massive size of modern neural networks has motivated substantial recent interest in neural network quantization. We introduce Stochastic Markov Gradient Descent (SMGD), a discrete optimization method applicable to training quantized…

机器学习 · 计算机科学 2020-12-23 Jonathan Ashbrock , Alexander M. Powell

In this paper, we develop an efficient sketchy empirical natural gradient method (SENG) for large-scale deep learning problems. The empirical Fisher information matrix is usually low-rank since the sampling is only practical on a small…

最优化与控制 · 数学 2021-03-26 Minghan Yang , Dong Xu , Zaiwen Wen , Mengyun Chen , Pengxiang Xu

Binarized Neural Networks (BNNs) have the potential to revolutionize the way that deep learning is carried out in edge computing platforms. However, the effectiveness of interpretability methods on these networks has not been assessed. In…

计算机视觉与模式识别 · 计算机科学 2021-06-24 Amy Widdicombe , Simon J. Julier

Innovations in neural architectures have fostered significant breakthroughs in language modeling and computer vision. Unfortunately, novel architectures often result in challenging hyper-parameter choices and training instability if the…

机器学习 · 计算机科学 2021-11-25 Chen Zhu , Renkun Ni , Zheng Xu , Kezhi Kong , W. Ronny Huang , Tom Goldstein

LLM training is resource-intensive. Quantized training improves computational and memory efficiency but introduces quantization noise, which can hinder convergence and degrade model accuracy. Stochastic Rounding (SR) has emerged as a…

机器学习 · 计算机科学 2025-11-04 Taowen Liu , Marta Andronic , Deniz Gündüz , George A. Constantinides

Stochastic gradient descent (SGD) with constant momentum and its variants such as Adam are the optimization algorithms of choice for training deep neural networks (DNNs). Since DNN training is incredibly computationally expensive, there is…

机器学习 · 计算机科学 2020-04-28 Bao Wang , Tan M. Nguyen , Andrea L. Bertozzi , Richard G. Baraniuk , Stanley J. Osher

In this paper, we propose a generic algorithm to train machine learning-based subgrid parametrizations online, i.e., with \textit{a posteriori} loss functions, but for non-differentiable numerical solvers. The proposed approach leverages a…

计算物理 · 物理学 2026-01-14 Hugo Frezat , Ronan Fablet , Guillaume Balarac , Julien Le Sommer

We study the mixing properties for stochastic accelerated gradient descent (SAGD) on least-squares regression. First, we show that stochastic gradient descent (SGD) and SAGD are simulating the same invariant distribution. Motivated by this,…

最优化与控制 · 数学 2019-11-01 Peiyuan Zhang , Hadi Daneshmand , Thomas Hofmann

Stochastic gradient descent (SGD) method is popular for solving non-convex optimization problems in machine learning. This work investigates SGD from a viewpoint of graduated optimization, which is a widely applied approach for non-convex…

最优化与控制 · 数学 2023-08-15 Da Li , Jingjing Wu , Qingrun Zhang

We study a new aggregation operator for gradients coming from a mini-batch for stochastic gradient (SG) methods that allows a significant speed-up in the case of sparse optimization problems. We call this method AdaBatch and it only…

机器学习 · 计算机科学 2017-11-07 Alexandre Défossez , Francis Bach