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In recent years, there is a growing need to train machine learning models on a huge volume of data. Designing efficient distributed optimization algorithms for empirical risk minimization (ERM) has therefore become an active and challenging…

最优化与控制 · 数学 2019-11-19 Ching-pei Lee , Kai-Wei Chang

Recently, (Blanchet, Kang, and Murhy 2016, and Blanchet, and Kang 2017) showed that several machine learning algorithms, such as square-root Lasso, Support Vector Machines, and regularized logistic regression, among many others, can be…

机器学习 · 统计学 2020-02-25 Jose Blanchet , Yang Kang , Fan Zhang , Karthyek Murthy

One of the main challenges in reinforcement learning (RL) is that the agent has to make decisions that would influence the future performance without having complete knowledge of the environment. Dynamically adjusting the level of epistemic…

机器学习 · 计算机科学 2026-03-02 Yupeng Wu , Wenyun Li , Wenjie Huang , Chin Pang Ho

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Deep Reinforcement Learning (DRL) algorithms can scale to previously intractable problems. The automation of profit generation in the stock market is possible using DRL, by combining the financial assets price "prediction" step and the…

交易与市场微观结构 · 定量金融 2022-09-20 Taylan Kabbani , Ekrem Duman

Deep unrolling, or unfolding, is an emerging learning-to-optimize method that unrolls a truncated iterative algorithm in the layers of a trainable neural network. However, the convergence guarantees and generalizability of the unrolled…

机器学习 · 计算机科学 2024-12-02 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Recent advancements in Distributional Reinforcement Learning (DRL) for modeling loss distributions have shown promise in developing hedging strategies in derivatives markets. A common approach in DRL involves learning the quantiles of loss…

风险管理 · 定量金融 2024-08-28 Parvin Malekzadeh , Zissis Poulos , Jacky Chen , Zeyu Wang , Konstantinos N. Plataniotis

This paper addresses optimization problems constrained by partial differential equations with uncertain coefficients. In particular, the robust control problem and the average control problem are considered for a tracking type cost…

最优化与控制 · 数学 2017-11-08 Andreas Van Barel , Stefan Vandewalle

We consider a distributionally robust stochastic optimization problem and formulate it as a stochastic two-level composition optimization problem with the use of the mean--semideviation risk measure. In this setting, we consider a single…

最优化与控制 · 数学 2023-06-12 Landi Zhu , Mert Gürbüzbalaban , Andrzej Ruszczyński

Distributed learning provides an attractive framework for scaling the learning task by sharing the computational load over multiple nodes in a network. Here, we investigate the performance of distributed learning for large-scale linear…

机器学习 · 统计学 2021-11-03 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

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

In constrained reinforcement learning (C-RL), an agent seeks to learn from the environment a policy that maximizes the expected cumulative reward while satisfying minimum requirements in secondary cumulative reward constraints. Several…

机器学习 · 计算机科学 2022-12-06 Tianqi Zheng , Pengcheng You , Enrique Mallada

We propose an adversarial deep reinforcement learning (ADRL) algorithm for high-dimensional stochastic control problems. Inspired by the information relaxation duality, ADRL reformulates the control problem as a min-max optimization between…

最优化与控制 · 数学 2025-07-03 Nan Chen , Mengzhou Liu , Xiaoyan Wang , Nanyi Zhang

Inverse reinforcement learning (IRL) addresses the problem of recovering a task description given a demonstration of the optimal policy used to solve such a task. The optimal policy is usually provided by an expert or teacher, making IRL…

机器学习 · 计算机科学 2012-02-09 Héctor Ratia , Luis Montesano , Ruben Martinez-Cantin

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

机器学习 · 计算机科学 2024-05-15 Ronan Keane

Deep reinforcement learning (DRL) has achieved significant breakthroughs in various tasks. However, most DRL algorithms suffer a problem of generalizing the learned policy which makes the learning performance largely affected even by minor…

机器学习 · 计算机科学 2019-07-11 Zhengyao Jiang , Shan Luo

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

机器学习 · 统计学 2020-12-25 Yunbei Xu , Assaf Zeevi

Distributionally robust optimization (DRO) has attracted attention in machine learning due to its connections to regularization, generalization, and robustness. Existing work has considered uncertainty sets based on phi-divergences and…

机器学习 · 计算机科学 2019-05-28 Matthew Staib , Stefanie Jegelka

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

Reinforcement learning (RL) solves sequential decision-making problems via a trial-and-error process interacting with the environment. While RL achieves outstanding success in playing complex video games that allow huge trial-and-error,…

机器学习 · 计算机科学 2022-06-22 Fan-Ming Luo , Tian Xu , Hang Lai , Xiong-Hui Chen , Weinan Zhang , Yang Yu