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We present new policy mirror descent (PMD) methods for solving reinforcement learning (RL) problems with either strongly convex or general convex regularizers. By exploring the structural properties of these overall highly nonconvex…

机器学习 · 计算机科学 2022-04-08 Guanghui Lan

Safety is an essential requirement for reinforcement learning systems. The newly emerging framework of robust constrained Markov decision processes allows learning policies that satisfy long-term constraints while providing guarantees under…

机器学习 · 计算机科学 2025-12-19 David M. Bossens , Atsushi Nitanda

Stochastic optimization powers the scalability of modern artificial intelligence, spanning machine learning, deep learning, reinforcement learning, and large language model training. Yet, existing theory remains largely confined to Hilbert…

机器学习 · 计算机科学 2025-09-18 Johnny R. Zhang , Xiaomei Mi , Gaoyuan Du , Qianyi Sun , Shiqi Wang , Jiaxuan Li , Wenhua Zhou

Over the past decade, deep neural networks have demonstrated significant success using the training scheme that involves mini-batch stochastic gradient descent on extensive datasets. Expanding upon this accomplishment, there has been a…

机器学习 · 计算机科学 2024-11-11 Jaehyeon Son , Soochan Lee , Gunhee Kim

We propose an algorithm for meta-learning that is model-agnostic, in the sense that it is compatible with any model trained with gradient descent and applicable to a variety of different learning problems, including classification,…

机器学习 · 计算机科学 2017-07-19 Chelsea Finn , Pieter Abbeel , Sergey Levine

This paper seeks to address how to solve non-smooth convex and strongly convex optimization problems with functional constraints. The introduced Mirror Descent (MD) method with adaptive stepsizes is shown to have a better convergence rate…

最优化与控制 · 数学 2017-05-08 Anastasia Bayandina

Optimization is an integral part of modern deep learning. Recently, the concept of learned optimizers has emerged as a way to accelerate this optimization process by replacing traditional, hand-crafted algorithms with meta-learned…

机器学习 · 计算机科学 2023-12-13 Jan Sobotka , Petr Šimánek , Daniel Vašata

Efficient characterization of quantum devices is a significant challenge critical for the development of large scale quantum computers. We consider an experimentally motivated situation, in which we have a decent estimate of the…

量子物理 · 物理学 2021-04-12 Przemyslaw Bienias , Alireza Seif , Mohammad Hafezi

We introduce a dynamic sparse training algorithm based on linearized Bregman iterations / mirror descent that exploits the naturally incurred sparsity by alternating between periods of static and dynamic sparsity pattern updates. The key…

机器学习 · 计算机科学 2026-05-19 Yannick Lunk , Sebastian J. Scott , Leon Bungert

This paper tackles the problem of video object segmentation. We are specifically concerned with the task of segmenting all pixels of a target object in all frames, given the annotation mask in the first frame. Even when such annotation is…

计算机视觉与模式识别 · 计算机科学 2019-10-01 Yu Liu , Lingqiao Liu , Haokui Zhang , Hamid Rezatofighi , Ian Reid

Mirror Descent (MD) is a well-known method of solving non-smooth convex optimization problems. This paper analyzes the stochastic variant of MD with adaptive stepsizes. Its convergence on average is shown to be faster than with the fixed…

最优化与控制 · 数学 2017-05-08 Anastasia Bayandina

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

机器学习 · 计算机科学 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

We develop a machine-learning framework to learn hyperparameter sequences for accelerated first-order methods (e.g., the step size and momentum sequences in accelerated gradient descent) to quickly solve parametric convex optimization…

最优化与控制 · 数学 2025-10-07 Rajiv Sambharya , Jinho Bok , Nikolai Matni , George Pappas

Gradient-based meta-learning methods leverage gradient descent to learn the commonalities among various tasks. While previous such methods have been successful in meta-learning tasks, they resort to simple gradient descent during…

机器学习 · 统计学 2018-06-15 Yoonho Lee , Seungjin Choi

The need for fast and robust optimization algorithms are of critical importance in all areas of machine learning. This paper treats the task of designing optimization algorithms as an optimal control problem. Using regret as a metric for an…

机器学习 · 计算机科学 2021-01-21 Philippe Casgrain , Anastasis Kratsios

Choosing the right parameters for optimization algorithms is often the key to their success in practice. Solving this problem using a learning-to-learn approach -- using meta-gradient descent on a meta-objective based on the trajectory that…

机器学习 · 统计学 2021-06-14 Xiang Wang , Shuai Yuan , Chenwei Wu , Rong Ge

Due to the nonlinear nature of Deep Neural Networks (DNNs), one can not guarantee convergence to a unique global minimum of the loss when using optimizers relying only on local information, such as SGD. Indeed, this was a primary source of…

Humans can often quickly and efficiently solve complex new learning tasks given only a small set of examples. In contrast, modern artificially intelligent systems often require thousands or millions of observations in order to solve even…

机器学习 · 计算机科学 2025-05-08 Christian Raymond

The architecture of a deep neural network is defined explicitly in terms of the number of layers, the width of each layer and the general network topology. Existing optimisation frameworks neglect this information in favour of implicit…

机器学习 · 计算机科学 2023-04-12 Jeremy Bernstein , Chris Mingard , Kevin Huang , Navid Azizan , Yisong Yue

Meta-learning enables learning systems to adapt quickly to new tasks, similar to humans. Different meta-learning approaches all work under/with the mini-batch episodic training framework. Such framework naturally gives the information about…

机器学习 · 计算机科学 2025-11-10 Shiguang Wu , Yaqing Wang , Yatao Bian , Quanming Yao