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We propose a randomized first order optimization method--SEGA (SkEtched GrAdient method)-- which progressively throughout its iterations builds a variance-reduced estimate of the gradient from random linear measurements (sketches) of the…

最优化与控制 · 数学 2018-10-19 Filip Hanzely , Konstantin Mishchenko , Peter Richtarik

We introduce two new stochastic conjugate frameworks for a class of nonconvex and possibly also nonsmooth optimization problems. These frameworks are built upon Stochastic Recursive Gradient Algorithm (SARAH) and we thus refer to them as…

最优化与控制 · 数学 2023-10-23 Jiangshan Wang , Zheng Peng

We propose a novel randomized incremental gradient algorithm, namely, VAriance-Reduced Accelerated Gradient (Varag), for finite-sum optimization. Equipped with a unified step-size policy that adjusts itself to the value of the condition…

最优化与控制 · 数学 2019-11-01 Guanghui Lan , Zhize Li , Yi Zhou

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

神经与进化计算 · 计算机科学 2018-02-14 Dianhui Wang , Ming Li

We describe the neural-network training framework used in the Kaldi speech recognition toolkit, which is geared towards training DNNs with large amounts of training data using multiple GPU-equipped or multi-core machines. In order to be as…

神经与进化计算 · 计算机科学 2015-06-24 Daniel Povey , Xiaohui Zhang , Sanjeev Khudanpur

The stochastic gradient descent (SGD) method is a widely used approach for solving stochastic optimization problems, but its convergence is typically slow. Existing variance reduction techniques, such as SAGA, improve convergence by…

最优化与控制 · 数学 2025-11-21 Fabio Nobile , Matteo Raviola , Nathan Schaeffer

We develop a novel optimistic gradient-type algorithmic framework, combining both Nesterov's acceleration and variance-reduction techniques, to solve a class of generalized equations involving possibly nonmonotone operators in data-driven…

最优化与控制 · 数学 2025-08-26 Quoc Tran-Dinh , Nghia Nguyen-Trung

We study the effect of the stochastic gradient noise on the training of generative adversarial networks (GANs) and show that it can prevent the convergence of standard game optimization methods, while the batch version converges. We address…

机器学习 · 统计学 2020-06-29 Tatjana Chavdarova , Gauthier Gidel , François Fleuret , Simon Lacoste-Julien

We propose and analyze a new stochastic gradient method, which we call Stochastic Unbiased Curvature-aided Gradient (SUCAG), for finite sum optimization problems. SUCAG constitutes an unbiased total gradient tracking technique that uses…

最优化与控制 · 数学 2018-10-30 Hoi-To Wai , Nikolaos M. Freris , Angelia Nedic , Anna Scaglione

In this work we propose a structured prediction technique that combines the virtues of Gaussian Conditional Random Fields (G-CRF) with Deep Learning: (a) our structured prediction task has a unique global optimum that is obtained exactly…

计算机视觉与模式识别 · 计算机科学 2016-11-30 Siddhartha Chandra , Iasonas Kokkinos

In this paper, we introduce an unbiased gradient simulation algorithms for solving convex optimization problem with stochastic function compositions. We show that the unbiased gradient generated from the algorithm has finite variance and…

最优化与控制 · 数学 2017-11-22 Jose Blanchet , Donald Goldfarb , Garud Iyengar , Fengpei Li , Chaoxu Zhou

Federated Learning (FL) has emerged as a crucial distributed training paradigm, enabling discrete devices to collaboratively train a shared model under the coordination of a central server, while leveraging their locally stored private…

机器学习 · 计算机科学 2024-09-02 Wenhao Yuan , Xuehe Wang

Nesterov's accelerated gradient (AG) is a popular technique to optimize objective functions comprising two components: a convex loss and a penalty function. While AG methods perform well for convex penalties, such as the LASSO, convergence…

最优化与控制 · 数学 2024-01-04 Kai Yang , Masoud Asgharian , Sahir Bhatnagar

In this paper, we propose a new SVRG-style acceleated stochastic algorithm for solving a family of non-convex optimization problems whose objective consists of a sum of $n$ smooth functions and a non-smooth convex function. Our major goal…

最优化与控制 · 数学 2019-03-12 Zaiyi Chen , Yi Xu , Haoyuan Hu , Tianbao Yang

We consider constrained optimization problems with a nonsmooth objective function in the form of mathematical expectation. The Sample Average Approximation (SAA) is used to estimate the objective function and variable sample size strategy…

最优化与控制 · 数学 2022-08-09 Natasa Krejic , Natasa Krklec Jerinkic , Tijana Ostojic

In high-stakes machine learning applications, it is crucial to not only perform well on average, but also when restricted to difficult examples. To address this, we consider the problem of training models in a risk-averse manner. We propose…

机器学习 · 计算机科学 2020-11-09 Sebastian Curi , Kfir. Y. Levy , Stefanie Jegelka , Andreas Krause

Presently the most successful approaches to semi-supervised learning are based on consistency regularization, whereby a model is trained to be robust to small perturbations of its inputs and parameters. To understand consistency…

机器学习 · 计算机科学 2019-02-22 Ben Athiwaratkun , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

In this paper, we consider static parameter estimation for a class of continuous-time state-space models. Our goal is to obtain an unbiased estimate of the gradient of the log-likelihood (score function), which is an estimate that is…

机器学习 · 统计学 2021-06-01 Marco Ballesio , Ajay Jasra

We consider saddle point problems which objective functions are the average of $n$ strongly convex-concave individual components. Recently, researchers exploit variance reduction methods to solve such problems and achieve linear-convergence…

机器学习 · 计算机科学 2019-09-17 Luo Luo , Cheng Chen , Yujun Li , Guangzeng Xie , Zhihua Zhang

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

机器学习 · 计算机科学 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams