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In this paper, we derive diffusion equation models in the spectral domain for the evolution of training errors of two-layer multi-scale deep neural networks (MscaleDNN) \cite{caixu2019,liu2020multi}, designed to reduce the spectral bias of…

数值分析 · 数学 2023-10-23 Bo Wang , Heng Yuan , Lizuo Liu , Wenzhong Zhang , Wei Cai

Deep Metric Learning algorithms aim to learn an efficient embedding space to preserve the similarity relationships among the input data. Whilst these algorithms have achieved significant performance gains across a wide plethora of tasks,…

计算机视觉与模式识别 · 计算机科学 2022-09-15 Soumava Kumar Roy , Yan Han , Mehrtash Harandi , Lars Petersson

The feasibility of deep neural networks (DNNs) to address data stream problems still requires intensive study because of the static and offline nature of conventional deep learning approaches. A deep continual learning algorithm, namely…

机器学习 · 计算机科学 2020-01-10 Andri Ashfahani , Mahardhika Pratama

This paper introduces a new scalable multi-objective deep reinforcement learning (MODRL) framework based on deep Q-networks. We develop a high-performance MODRL framework that supports both single-policy and multi-policy strategies, as well…

机器学习 · 计算机科学 2020-09-09 Thanh Thi Nguyen , Ngoc Duy Nguyen , Peter Vamplew , Saeid Nahavandi , Richard Dazeley , Chee Peng Lim

Model-based deep learning (MBDL) is a powerful methodology for designing deep models to solve imaging inverse problems. MBDL networks can be seen as iterative algorithms that estimate the desired image using a physical measurement model and…

图像与视频处理 · 电气工程与系统科学 2025-04-04 Chicago Y. Park , Weijie Gan , Zihao Zou , Yuyang Hu , Zhixin Sun , Ulugbek S. Kamilov

In the present work a new set of differential equations for the Hopfield Neural Network (HNN) method were established by means of the Linear Extended Gateaux Derivative (LEGD). This new approach will be referred to as G\^ateaux-Hopfiel…

机器学习 · 计算机科学 2020-02-03 Felipe Silva Carvalho , João Pedro Braga

Dynamic hedging is a financial strategy that consists in periodically transacting one or multiple financial assets to offset the risk associated with a correlated liability. Deep Reinforcement Learning (DRL) algorithms have been used to…

计算金融 · 定量金融 2025-04-18 Andrei Neagu , Frédéric Godin , Leila Kosseim

Gradient-based Meta-RL (GMRL) refers to methods that maintain two-level optimisation procedures wherein the outer-loop meta-learner guides the inner-loop gradient-based reinforcement learner to achieve fast adaptations. In this paper, we…

机器学习 · 计算机科学 2024-03-26 Xidong Feng , Bo Liu , Jie Ren , Luo Mai , Rui Zhu , Haifeng Zhang , Jun Wang , Yaodong Yang

We consider Model-Agnostic Meta-Learning (MAML) methods for Reinforcement Learning (RL) problems, where the goal is to find a policy using data from several tasks represented by Markov Decision Processes (MDPs) that can be updated by one…

机器学习 · 计算机科学 2021-11-18 Alireza Fallah , Kristian Georgiev , Aryan Mokhtari , Asuman Ozdaglar

We propose Neural Gradient Learning (NGL), a deep learning approach to learn gradient vectors with consistent orientation from 3D point clouds for normal estimation. It has excellent gradient approximation properties for the underlying…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Qing Li , Huifang Feng , Kanle Shi , Yi Fang , Yu-Shen Liu , Zhizhong Han

In recent years, even though Stochastic Gradient Descent (SGD) and its variants are well-known for training neural networks, it suffers from limitations such as the lack of theoretical guarantees, vanishing gradients, and excessive…

最优化与控制 · 数学 2022-02-17 Junxiang Wang , Hongyi Li , Liang Zhao

This paper presents a novel deep learning framework for solving multiple optimal stopping problems in high dimensions. While deep learning has recently shown promise for single stopping problems, the multiple exercise case involves complex…

最优化与控制 · 数学 2025-12-30 Mathieu Laurière , Mehdi Talbi

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulates numerical methods as a minimization of discrete residuals…

数值分析 · 数学 2024-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

This paper proposes a model-driven deep learning (MDDL)-based channel estimation and feedback scheme for wideband millimeter-wave (mmWave) massive hybrid multiple-input multiple-output (MIMO) systems, where the angle-delay domain channels'…

信息论 · 计算机科学 2022-01-20 Xisuo Ma , Zhen Gao , Feifei Gao , Marco Di Renzo

Meta-learning offers a principled framework leveraging \emph{task-invariant} priors from related tasks, with which \emph{task-specific} models can be fine-tuned on downstream tasks, even with limited data records. Gradient-based…

机器学习 · 计算机科学 2026-04-16 Yilang Zhang , Abraham Jaeger Mountain , Bingcong Li , Georgios B. Giannakis

Deep generative models (DGMs) are effective on learning multilayered representations of complex data and performing inference of input data by exploring the generative ability. However, it is relatively insufficient to empower the…

计算机视觉与模式识别 · 计算机科学 2016-11-23 Chongxuan Li , Jun Zhu , Bo Zhang

Adaptive optimization methods, which perform local optimization with a metric constructed from the history of iterates, are becoming increasingly popular for training deep neural networks. Examples include AdaGrad, RMSProp, and Adam. We…

机器学习 · 统计学 2018-05-23 Ashia C. Wilson , Rebecca Roelofs , Mitchell Stern , Nathan Srebro , Benjamin Recht

In this paper, we aim at providing an introduction to the gradient descent based optimization algorithms for learning deep neural network models. Deep learning models involving multiple nonlinear projection layers are very challenging to…

机器学习 · 计算机科学 2019-03-12 Jiawei Zhang

Black-box algorithms are designed to optimize functions without relying on their underlying analytical structure or gradient information, making them essential when gradients are inaccessible or difficult to compute. Traditional methods for…

机器学习 · 计算机科学 2026-01-21 Yedidya Kfir , Elad Sarafian , Sarit Kraus , Yoram Louzoun

Deep learning models offer superior performance compared to other machine learning techniques for a variety of tasks and domains, but pose their own challenges. In particular, deep learning models require larger training times as the depth…

机器学习 · 计算机科学 2023-05-31 Sunitha Basodi , Krishna Pusuluri , Xueli Xiao , Yi Pan