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Meta-learning empowers learning systems with the ability to acquire knowledge from multiple tasks, enabling faster adaptation and generalization to new tasks. This review provides a comprehensive technical overview of meta-learning,…

Iterative methods are ubiquitous in large-scale scientific computing applications, and a number of approaches based on meta-learning have been recently proposed to accelerate them. However, a systematic study of these approaches and how…

数值分析 · 数学 2023-01-31 Sohei Arisaka , Qianxiao Li

Preprocessing data is an important step before any data analysis. In this paper, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effects on different…

机器学习 · 统计学 2017-09-05 Ting Li , Bingyi Jing , Ningchen Ying , Xianshi Yu

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

机器学习 · 计算机科学 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

The optimization-based meta-learning approach is gaining increased traction because of its unique ability to quickly adapt to a new task using only small amounts of data. However, existing optimization-based meta-learning approaches, such…

机器学习 · 计算机科学 2024-12-17 Honglin Yang , Ji Ma , Xiao Yu

Methods for learning from data depend on various types of tuning parameters, such as penalization strength or step size. Since performance can depend strongly on these parameters, it is important to compare classes of estimators-by…

统计理论 · 数学 2022-06-14 Dominic Richards , Edgar Dobriban , Patrick Rebeschini

In the context of machine unlearning, the primary challenge lies in effectively removing traces of private data from trained models while maintaining model performance and security against privacy attacks like membership inference attacks.…

机器学习 · 计算机科学 2024-06-26 Tao Huang , Ziyang Chen , Jiayang Meng , Qingyu Huang , Xu Yang , Xun Yi , Ibrahim Khalil

In this book chapter, we briefly describe the main components that constitute the gradient descent method and its accelerated and stochastic variants. We aim at explaining these components from a mathematical point of view, including…

最优化与控制 · 数学 2022-12-20 Quoc Tran-Dinh , Marten van Dijk

In this paper, we propose new structured second-order methods and structured adaptive-gradient methods obtained by performing natural-gradient descent on structured parameter spaces. Natural-gradient descent is an attractive approach to…

机器学习 · 统计学 2022-02-22 Wu Lin , Frank Nielsen , Mohammad Emtiyaz Khan , Mark Schmidt

We consider a class of a nested optimization problems involving inner and outer objectives. We observe that by taking into explicit account the optimization dynamics for the inner objective it is possible to derive a general framework that…

机器学习 · 统计学 2019-08-22 Luca Franceschi , Michele Donini , Paolo Frasconi , Massimiliano Pontil

We propose some adaptive mirror descent dethods for convex programming problems with delta-subgradients and prove some theoretical results.

最优化与控制 · 数学 2020-12-24 Fedor S. Stonyakin

Self-tuning algorithms that adapt the learning process online encourage more effective and robust learning. Among all the methods available, meta-gradients have emerged as a promising approach. They leverage the differentiability of the…

机器学习 · 计算机科学 2021-11-02 Clément Bonnet , Paul Caron , Thomas Barrett , Ian Davies , Alexandre Laterre

Policy-based algorithms are among the most widely adopted techniques in model-free RL, thanks to their strong theoretical groundings and good properties in continuous action spaces. Unfortunately, these methods require precise and…

机器学习 · 计算机科学 2023-06-14 Luca Sabbioni , Francesco Corda , Marcello Restelli

In recent years, Deep Learning has become the go-to solution for a broad range of applications, often outperforming state-of-the-art. However, it is important, for both theoreticians and practitioners, to gain a deeper understanding of the…

机器学习 · 计算机科学 2017-04-28 Shai Shalev-Shwartz , Ohad Shamir , Shaked Shammah

Typically, loss functions, regularization mechanisms and other important aspects of training parametric models are chosen heuristically from a limited set of options. In this paper, we take the first step towards automating this process,…

Meta-gradient methods (Xu et al., 2018; Zahavy et al., 2020) offer a promising solution to the problem of hyperparameter selection and adaptation in non-stationary reinforcement learning problems. However, the properties of meta-gradients…

机器学习 · 计算机科学 2022-09-14 Jelena Luketina , Sebastian Flennerhag , Yannick Schroecker , David Abel , Tom Zahavy , Satinder Singh

Continual learning (CL) is a fundamental topic in machine learning, where the goal is to train a model with continuously incoming data and tasks. Due to the memory limit, we cannot store all the historical data, and therefore confront the…

机器学习 · 计算机科学 2024-07-31 Weichen Lin , Jiaxiang Chen , Ruomin Huang , Hu Ding

In this paper, we study the gradient descent-ascent method for convex-concave saddle-point problems. We derive a new non-asymptotic global convergence rate in terms of distance to the solution set by using the semidefinite programming…

最优化与控制 · 数学 2022-09-19 Moslem Zamani , Hadi Abbaszadehpeivasti , Etienne de Klerk

There is a long history of using meta learning as representation learning, specifically for determining the relevance of inputs. In this paper, we examine an instance of meta-learning in which feature relevance is learned by adapting step…

机器学习 · 计算机科学 2019-03-11 Alex Kearney , Vivek Veeriah , Jaden Travnik , Patrick M. Pilarski , Richard S. Sutton

Continual learning (CL) presents a fundamental challenge in training neural networks on sequential tasks without experiencing catastrophic forgetting. Traditionally, the dominant approach in CL has been gradient-based optimization, where…

机器学习 · 计算机科学 2025-04-03 Grzegorz Rypeść