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Convolutional Neural Networks (ConvNets or CNNs) have been candidly deployed in the scope of computer vision and related fields. Nevertheless, the dynamics of training of these neural networks lie still elusive: it is hard and…

计算机视觉与模式识别 · 计算机科学 2023-09-13 Nguyen Huu Phong , Augusto Santos , Bernardete Ribeiro

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

机器学习 · 计算机科学 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio

Stochastic optimization lies at the heart of machine learning, and its cornerstone is stochastic gradient descent (SGD), a method introduced over 60 years ago. The last 8 years have seen an exciting new development: variance reduction (VR)…

机器学习 · 计算机科学 2020-10-05 Robert M. Gower , Mark Schmidt , Francis Bach , Peter Richtarik

Here we develop variants of SGD (stochastic gradient descent) with an adaptive step size that make use of the sampled loss values. In particular, we focus on solving a finite sum-of-terms problem, also known as empirical risk minimization.…

机器学习 · 计算机科学 2023-07-28 Guillaume Garrigos , Robert M. Gower , Fabian Schaipp

Backpropagation underpins modern deep learning, yet its reliance on global gradient synchronization limits scalability and incurs high memory costs. In contrast, fully local learning rules are more efficient but often struggle to maintain…

机器学习 · 计算机科学 2025-10-01 Bojian Yin , Federico Corradi

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

机器学习 · 计算机科学 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

This paper proposes a variational framework for multi-objective level set topology optimization. The approach interprets the level set function as a generalized coordinate of a fictitious material and derives its equation of motion from…

最优化与控制 · 数学 2026-03-25 Jan Oellerich , Takayuki Yamada

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

最优化与控制 · 数学 2026-05-13 Trang H. Tran , Luis Nunes Vicente

This paper proposes a learning aided gradient descent (LAGD) algorithm to solve the weighted sum rate (WSR) maximization problem for multiple-input single-output (MISO) beamforming. The proposed LAGD algorithm directly optimizes the…

信号处理 · 电气工程与系统科学 2022-07-26 Zhixiong Yang , Jing-Yuan Xia , Junshan Luo , Shuanghui Zhang , Deniz Gündüz

We present a solution to scale spectral algorithms for learning sequence functions. We are interested in the case where these functions are sparse (that is, for most sequences they return 0). Spectral algorithms reduce the learning problem…

机器学习 · 计算机科学 2017-06-12 Ariadna Quattoni , Xavier Carreras , Matthias Gallé

Training deep neural network is a high dimensional and a highly non-convex optimization problem. Stochastic gradient descent (SGD) algorithm and it's variations are the current state-of-the-art solvers for this task. However, due to…

机器学习 · 计算机科学 2017-01-17 Xi He , Dheevatsa Mudigere , Mikhail Smelyanskiy , Martin Takáč

Motivated by extreme multi-label classification applications, we consider training deep learning models over sparse data in multi-GPU servers. The variance in the number of non-zero features across training batches and the intrinsic GPU…

分布式、并行与集群计算 · 计算机科学 2021-10-15 Yujing Ma , Florin Rusu , Kesheng Wu , Alexander Sim

This paper considers decentralized stochastic optimization over a network of $n$ nodes, where each node possesses a smooth non-convex local cost function and the goal of the networked nodes is to find an $\epsilon$-accurate first-order…

最优化与控制 · 数学 2021-06-15 Ran Xin , Usman A. Khan , Soummya Kar

Stochastic gradient descent (SGD) algorithm and its variations have been effectively used to optimize neural network models. However, with the rapid growth of big data and deep learning, SGD is no longer the most suitable choice due to its…

机器学习 · 计算机科学 2024-02-13 Anuraganand Sharma

The Stochastic Gradient Descent method (SGD) and its stochastic variants have become methods of choice for solving finite-sum optimization problems arising from machine learning and data science thanks to their ability to handle large-scale…

最优化与控制 · 数学 2024-03-06 Trang H. Tran , Quoc Tran-Dinh , Lam M. Nguyen

In neural networks, continual learning results in gradient interference among sequential tasks, leading to catastrophic forgetting of old tasks while learning new ones. This issue is addressed in recent methods by storing the important…

机器学习 · 计算机科学 2023-02-06 Gobinda Saha , Kaushik Roy

The vast majority of successful deep neural networks are trained using variants of stochastic gradient descent (SGD) algorithms. Recent attempts to improve SGD can be broadly categorized into two approaches: (1) adaptive learning rate…

机器学习 · 计算机科学 2019-12-04 Michael R. Zhang , James Lucas , Geoffrey Hinton , Jimmy Ba

Stochastic Gradient Descent (SGD) has become one of the most popular optimization methods for training machine learning models on massive datasets. However, SGD suffers from two main drawbacks: (i) The noisy gradient updates have high…

机器学习 · 计算机科学 2017-04-10 Soham De , Tom Goldstein

Stochastic gradient descent (SGD) is a ubiquitous algorithm for a variety of machine learning problems. Researchers and industry have developed several techniques to optimize SGD's runtime performance, including asynchronous execution and…

机器学习 · 计算机科学 2015-10-06 Christopher De Sa , Ce Zhang , Kunle Olukotun , Christopher Ré

Transmission grid congestion increases as the electrification of various sectors requires transmitting more power. Topology control, through substation reconfiguration, can reduce congestion but its potential remains under-exploited in…

机器学习 · 计算机科学 2025-05-02 Thomas Lautenbacher , Ali Rajaei , Davide Barbieri , Jan Viebahn , Jochen L. Cremer