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Imagine if AI decision-support tools not only complemented our ability to make accurate decisions, but also improved our skills, boosted collaboration, and elevated the joy we derive from our tasks. Despite the potential to optimize a broad…

人机交互 · 计算机科学 2024-04-16 Zana Buçinca , Siddharth Swaroop , Amanda E. Paluch , Susan A. Murphy , Krzysztof Z. Gajos

Online linear programming plays an important role in both revenue management and resource allocation, and recent research has focused on developing efficient first-order online learning algorithms. Despite the empirical success of…

机器学习 · 统计学 2025-01-07 Wenzhi Gao , Dongdong Ge , Chenyu Xue , Chunlin Sun , Yinyu Ye

We derive a new analysis of Follow The Regularized Leader (FTRL) for online learning with delayed bandit feedback. By separating the cost of delayed feedback from that of bandit feedback, our analysis allows us to obtain new results in…

机器学习 · 计算机科学 2023-05-16 Dirk van der Hoeven , Lukas Zierahn , Tal Lancewicki , Aviv Rosenberg , Nicoló Cesa-Bianchi

Gradient descent (GD) based optimization methods are these days the standard tools to train deep neural networks in artificial intelligence systems. In optimization procedures in deep learning the employed optimizer is often not the…

最优化与控制 · 数学 2025-09-24 Steffen Dereich , Robin Graeber , Arnulf Jentzen , Adrian Riekert

The linear bandit problem has been studied for many years in both stochastic and adversarial settings. Designing an algorithm that can optimize the environment without knowing the loss type attracts lots of interest. \citet{LeeLWZ021}…

机器学习 · 计算机科学 2023-07-19 Fang Kong , Canzhe Zhao , Shuai Li

1-bit gradient compression and local steps are two representative techniques that enable drastic communication reduction in distributed SGD. Their benefits, however, remain an open question on Adam-based large model pre-training (e.g. BERT…

机器学习 · 计算机科学 2022-05-24 Yucheng Lu , Conglong Li , Minjia Zhang , Christopher De Sa , Yuxiong He

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

机器学习 · 计算机科学 2012-07-03 Huahua Wang , Arindam Banerjee

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

机器学习 · 计算机科学 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

机器学习 · 计算机科学 2016-09-20 Arthur Flajolet , Patrick Jaillet

Adam is widely adopted in practical applications due to its fast convergence. However, its theoretical analysis is still far from satisfactory. Existing convergence analyses for Adam rely on the bounded smoothness assumption, referred to as…

机器学习 · 计算机科学 2024-06-25 Bohan Wang , Yushun Zhang , Huishuai Zhang , Qi Meng , Ruoyu Sun , Zhi-Ming Ma , Tie-Yan Liu , Zhi-Quan Luo , Wei Chen

Gradient descent based optimization methods are the methods of choice to train deep neural networks in machine learning. Beyond the standard gradient descent method, also suitable modified variants of standard gradient descent involving…

最优化与控制 · 数学 2025-04-29 Steffen Dereich , Arnulf Jentzen , Adrian Riekert

Offline reinforcement learning (RL) allows agents to learn effective, return-maximizing policies from a static dataset. Three popular algorithms for offline RL are Conservative Q-Learning (CQL), Behavior Cloning (BC), and Decision…

机器学习 · 计算机科学 2024-03-13 Prajjwal Bhargava , Rohan Chitnis , Alborz Geramifard , Shagun Sodhani , Amy Zhang

Meta-reinforcement learning (meta-RL) aims to learn from multiple training tasks the ability to adapt efficiently to unseen test tasks. Despite the success, existing meta-RL algorithms are known to be sensitive to the task distribution…

机器学习 · 计算机科学 2021-03-02 Zichuan Lin , Garrett Thomas , Guangwen Yang , Tengyu Ma

We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions, based on adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient, has…

机器学习 · 计算机科学 2017-01-31 Diederik P. Kingma , Jimmy Ba

Deep learning optimizers are often motivated through a mix of convex and approximate second-order theory. We select three such methods -- Adam, Shampoo and Prodigy -- and argue that each method can instead be understood as a squarely…

机器学习 · 计算机科学 2024-12-09 Jeremy Bernstein , Laker Newhouse

In this paper, we study oracle-efficient algorithms for beyond worst-case analysis of online learning. We focus on two settings. First, the smoothed analysis setting of [RST11,HRS22] where an adversary is constrained to generating samples…

机器学习 · 计算机科学 2022-11-23 Nika Haghtalab , Yanjun Han , Abhishek Shetty , Kunhe Yang

We study online learning problems in which a decision maker has to make a sequence of costly decisions, with the goal of maximizing their expected reward while adhering to budget and return-on-investment (ROI) constraints. Existing…

计算机科学与博弈论 · 计算机科学 2024-03-05 Matteo Castiglioni , Andrea Celli , Christian Kroer

We study the problem of online model selection in reinforcement learning, where the selector has access to a class of reinforcement learning agents and learns to adaptively select the agent with the right configuration. Our goal is to…

机器学习 · 计算机科学 2025-12-03 Aida Afshar , Aldo Pacchiano

This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

数据结构与算法 · 计算机科学 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

The Adam optimizer, often used in Machine Learning for neural network training, corresponds to an underlying ordinary differential equation (ODE) in the limit of very small learning rates. This work shows that the classical Adam algorithm…

计算工程、金融与科学 · 计算机科学 2024-09-17 Abhinab Bhattacharjee , Andrey A. Popov , Arash Sarshar , Adrian Sandu