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Although deep neural networks (NNs) have achievedstate-of-the-art accuracy in many visual recognition tasks,the growing computational complexity and energy con-sumption of networks remains an issue, especially for ap-plications on platforms…

Training state-of-the-art ASR systems such as RNN-T often has a high associated financial and environmental cost. Training with a subset of training data could mitigate this problem if the subset selected could achieve on-par performance…

机器学习 · 计算机科学 2022-11-01 Ashish Mittal , Durga Sivasubramanian , Rishabh Iyer , Preethi Jyothi , Ganesh Ramakrishnan

We consider a variant of the stochastic gradient descent (SGD) with a random learning rate and reveal its convergence properties. SGD is a widely used stochastic optimization algorithm in machine learning, especially deep learning. Numerous…

机器学习 · 统计学 2025-09-09 Naoki Yoshida , Shogo Nakakita , Masaaki Imaizumi

Stochastic gradient descent (SGD) optimization methods such as the plain vanilla SGD method and the popular Adam optimizer are nowadays the method of choice in the training of artificial neural networks (ANNs). Despite the remarkable…

最优化与控制 · 数学 2024-02-09 Arnulf Jentzen , Adrian Riekert

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

Online learning algorithms require to often recompute least squares regression estimates of parameters. We study improving the computational complexity of such algorithms by using stochastic gradient descent (SGD) type schemes in place of…

机器学习 · 计算机科学 2014-11-21 Nathaniel Korda , Prashanth L. A. , Rémi Munos

Machine learning has made tremendous progress in recent years, with models matching or even surpassing humans on a series of specialized tasks. One key element behind the progress of machine learning in recent years has been the ability to…

机器学习 · 计算机科学 2020-06-30 Giorgi Nadiradze , Ilia Markov , Bapi Chatterjee , Vyacheslav Kungurtsev , Dan Alistarh

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…

机器学习 · 计算机科学 2023-03-14 Jarek Duda

We present Re-weighted Gradient Descent (RGD), a novel optimization technique that improves the performance of deep neural networks through dynamic sample re-weighting. Leveraging insights from distributionally robust optimization (DRO)…

机器学习 · 计算机科学 2024-10-15 Ramnath Kumar , Kushal Majmundar , Dheeraj Nagaraj , Arun Sai Suggala

The stochastic gradient descent (SGD) algorithm has been widely used in statistical estimation for large-scale data due to its computational and memory efficiency. While most existing works focus on the convergence of the objective function…

机器学习 · 统计学 2023-11-02 Xi Chen , Jason D. Lee , Xin T. Tong , Yichen Zhang

Bilevel optimization has been widely used in many machine learning applications such as hyperparameter optimization and meta learning. Recently, many simple stochastic gradient descent(SGD) type algorithms(without using momentum and…

最优化与控制 · 数学 2023-06-21 Haimei Huo , Risheng Liu , Zhixun Su

We study nonparametric regression using an over-parameterized two-layer neural networks trained with algorithmic guarantees in this paper. We consider the setting where the training features are drawn uniformly from the unit sphere in…

机器学习 · 统计学 2025-10-07 Yingzhen Yang , Ping Li

Stochastic gradient descent (SGD) with stochastic momentum is popular in nonconvex stochastic optimization and particularly for the training of deep neural networks. In standard SGD, parameters are updated by improving along the path of the…

机器学习 · 计算机科学 2021-06-08 Jun-Kun Wang , Chi-Heng Lin , Jacob Abernethy

We investigate the parameter-space geometry of recurrent neural networks (RNNs), and develop an adaptation of path-SGD optimization method, attuned to this geometry, that can learn plain RNNs with ReLU activations. On several datasets that…

机器学习 · 计算机科学 2016-05-24 Behnam Neyshabur , Yuhuai Wu , Ruslan Salakhutdinov , Nathan Srebro

Accumulated detailed knowledge about the neuronal activities in human brains has brought more attention to bio-inspired spiking neural networks (SNNs). In contrast to non-spiking deep neural networks (DNNs), SNNs can encode and transmit…

神经与进化计算 · 计算机科学 2024-10-22 Yi Yang , Richard M. Voyles , Haiyan H. Zhang , Robert A. Nawrocki

Stochastic Gradient Descent (SGD) is very useful in optimization problems with high-dimensional non-convex target functions, and hence constitutes an important component of several Machine Learning and Data Analytics methods. Recently there…

分布式、并行与集群计算 · 计算机科学 2019-11-11 Karl Bäckström , Marina Papatriantafilou , Philippas Tsigas

Stochastic gradient descent (SGD) and adaptive gradient methods, such as Adam and RMSProp, have been widely used in training deep neural networks. We empirically show that while the difference between the standard generalization performance…

机器学习 · 计算机科学 2023-11-30 Avery Ma , Yangchen Pan , Amir-massoud Farahmand

We propose a novel variant of SGD customized for training network architectures that support anytime behavior: such networks produce a series of increasingly accurate outputs over time. Efficient architectural designs for these networks…

机器学习 · 计算机科学 2020-08-18 Chengcheng Wan , Henry Hoffmann , Shan Lu , Michael Maire

Neuromorphic computing systems are set to revolutionize energy-constrained robotics by achieving orders-of-magnitude efficiency gains, while enabling native temporal processing. Spiking Neural Networks (SNNs) represent a promising…

人工智能 · 计算机科学 2025-10-29 Korneel Van den Berghe , Stein Stroobants , Vijay Janapa Reddi , G. C. H. E. de Croon

In recent years, stochastic gradient descent (SGD) methods and randomized linear algebra (RLA) algorithms have been applied to many large-scale problems in machine learning and data analysis. We aim to bridge the gap between these two…

最优化与控制 · 数学 2017-07-11 Jiyan Yang , Yin-Lam Chow , Christopher Ré , Michael W. Mahoney