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Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

High-dimensional PDEs have been a longstanding computational challenge. We propose to solve high-dimensional PDEs by approximating the solution with a deep neural network which is trained to satisfy the differential operator, initial…

数理金融 · 定量金融 2018-10-17 Justin Sirignano , Konstantinos Spiliopoulos

Stochastic gradient descent (SGD) has been the dominant optimization method for training deep neural networks due to its many desirable properties. One of the more remarkable and least understood quality of SGD is that it generalizes…

机器学习 · 计算机科学 2020-07-03 Erhan Bilal

The aim of this article is to provide a firm mathematical foundation for the application of deep gradient flow methods (DGFMs) for the solution of (high-dimensional) partial differential equations (PDEs). We decompose the generalization…

数值分析 · 数学 2026-02-26 Chenguang Liu , Antonis Papapantoleon , Jasper Rou

A deep learning approach to numerically approximate the solution to the Eikonal equation is introduced. The proposed method is built on the fast marching scheme which comprises of two components: a local numerical solver and an update…

计算机视觉与模式识别 · 计算机科学 2019-03-20 Moshe Lichtenstein , Gautam Pai , Ron Kimmel

Massive practical works addressed by Deep Q-network (DQN) algorithm have indicated that stochastic policy, despite its simplicity, is the most frequently used exploration approach. However, most existing stochastic exploration approaches…

机器学习 · 计算机科学 2022-06-22 Wenhui Huang , Cong Zhang , Jingda Wu , Xiangkun He , Jie Zhang , Chen Lv

In recent years, there has been increasing amount of interest around meta reinforcement learning methods for traffic signal control, which have achieved better performance compared with traditional control methods. However, previous methods…

机器学习 · 计算机科学 2021-10-26 Yayi Zou , Zhiwei Qin

Gradient-based methods are well-suited for derivative-free optimization (DFO), where finite-difference (FD) estimates are commonly used as gradient surrogates. Traditional stochastic approximation methods, such as Kiefer-Wolfowitz (KW) and…

最优化与控制 · 数学 2025-03-03 Guo Liang , Guangwu Liu , Kun Zhang

Many real-world optimization problems contain parameters that are unknown before deployment time, either due to stochasticity or to lack of information (e.g., demand or travel times in delivery problems). A common strategy in such cases is…

A primary requirement for any reinforcement learning method is that it should produce policies that improve upon the initial guess. In this work, we show that the widely used Deep Q-Network (DQN) fails to satisfy this minimal criterion --…

机器学习 · 计算机科学 2025-06-18 Aditya Gopalan , Gugan Thoppe

Recently, researchers have utilized neural networks to accurately solve partial differential equations (PDEs), enabling the mesh-free method for scientific computation. Unfortunately, the network performance drops when encountering a high…

机器学习 · 计算机科学 2021-09-29 Pongpisit Thanasutives , Masayuki Numao , Ken-ichi Fukui

We prove a new structural lemma for partial Boolean functions $f$, which we call the seed lemma for DNF. Using the lemma, we give the first subexponential algorithm for proper learning of DNF in Angluin's Equivalence Query (EQ) model. The…

机器学习 · 计算机科学 2011-11-07 Lisa Hellerstein , Devorah Kletenik , Linda Sellie , Rocco Servedio

Training deep neural networks (DNNs) efficiently is a challenge due to the associated highly nonconvex optimization. The backpropagation (backprop) algorithm has long been the most widely used algorithm for gradient computation of…

机器学习 · 统计学 2018-03-28 Tim Tsz-Kit Lau , Jinshan Zeng , Baoyuan Wu , Yuan Yao

We propose a method for learning expressive energy-based policies for continuous states and actions, which has been feasible only in tabular domains before. We apply our method to learning maximum entropy policies, resulting into a new…

机器学习 · 计算机科学 2017-07-25 Tuomas Haarnoja , Haoran Tang , Pieter Abbeel , Sergey Levine

In this work, we study adaptive data-guided traffic planning and control using Reinforcement Learning (RL). We shift from the plain use of classic methods towards state-of-the-art in deep RL community. We embed several recent techniques in…

机器学习 · 计算机科学 2020-07-23 Siavash Alemzadeh , Ramin Moslemi , Ratnesh Sharma , Mehran Mesbahi

In this paper we combine one method for hierarchical reinforcement learning - the options framework - with deep Q-networks (DQNs) through the use of different "option heads" on the policy network, and a supervisory network for choosing…

机器学习 · 计算机科学 2017-06-20 Kai Arulkumaran , Nat Dilokthanakul , Murray Shanahan , Anil Anthony Bharath

NDCG, namely Normalized Discounted Cumulative Gain, is a widely used ranking metric in information retrieval and machine learning. However, efficient and provable stochastic methods for maximizing NDCG are still lacking, especially for deep…

机器学习 · 计算机科学 2023-02-03 Zi-Hao Qiu , Quanqi Hu , Yongjian Zhong , Lijun Zhang , Tianbao Yang

A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization…

机器学习 · 计算机科学 2020-04-03 Ke Li , Kejun Tang , Tianfan Wu , Qifeng Liao

In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of straggling machines. Recent work has studied approximate gradient coding, which…

机器学习 · 统计学 2021-08-09 Margalit Glasgow , Mary Wootters

Reinforcement Learning (RL) has opened up new opportunities to enhance existing smart systems that generally include a complex decision-making process. However, modern RL algorithms, e.g., Deep Q-Networks (DQN), are based on deep neural…

机器学习 · 计算机科学 2023-06-22 Yang Ni , Danny Abraham , Mariam Issa , Yeseong Kim , Pietro Mercati , Mohsen Imani
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