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A novel multi-level method for partial differential equations with uncertain parameters is proposed. The principle behind the method is that the error between grid levels in multi-level methods has a spatial structure that is by good…

数值分析 · 数学 2020-04-29 Yous van Halder , Benjamin Sanderse , Barry Koren

In this paper, we introduce a discrete variant of the meta-learning framework. Meta-learning aims at exploiting prior experience and data to improve performance on future tasks. By now, there exist numerous formulations for meta-learning in…

机器学习 · 计算机科学 2021-01-12 Arman Adibi , Aryan Mokhtari , Hamed Hassani

Few-shot learning aims to learn classifiers for new classes with only a few training examples per class. Most existing few-shot learning approaches belong to either metric-based meta-learning or optimization-based meta-learning category,…

机器学习 · 计算机科学 2019-08-28 Duo Wang , Yu Cheng , Mo Yu , Xiaoxiao Guo , Tao Zhang

Standard meta-learning for representation learning aims to find a common representation to be shared across multiple tasks. The effectiveness of these methods is often limited when the nuances of the tasks' distribution cannot be captured…

机器学习 · 计算机科学 2021-03-31 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

Deep neural networks have become a foundational tool for addressing imaging inverse problems. They are typically trained for a specific task, with a supervised loss to learn a mapping from the observations to the image to recover. However,…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Matthieu Terris , Thomas Moreau

Meta-learning is a general approach to equip machine learning models with the ability to handle few-shot scenarios when dealing with many tasks. Most existing meta-learning methods work based on the assumption that all tasks are of equal…

机器学习 · 计算机科学 2024-10-25 Zhaofeng Si , Shu Hu , Kaiyi Ji , Siwei Lyu

Choosing the right parameters for optimization algorithms is often the key to their success in practice. Solving this problem using a learning-to-learn approach -- using meta-gradient descent on a meta-objective based on the trajectory that…

机器学习 · 统计学 2021-06-14 Xiang Wang , Shuai Yuan , Chenwei Wu , Rong Ge

Deep neural networks can yield good performance on various tasks but often require large amounts of data to train them. Meta-learning received considerable attention as one approach to improve the generalization of these networks from a…

机器学习 · 计算机科学 2023-10-11 Mike Huisman , Aske Plaat , Jan N. van Rijn

We analyze recurrent neural networks with diagonal hidden-to-hidden weight matrices, trained with gradient descent in the supervised learning setting, and prove that gradient descent can achieve optimality \emph{without} massive…

机器学习 · 计算机科学 2024-10-11 Semih Cayci , Atilla Eryilmaz

Meta Learning has been in focus in recent years due to the meta-learner model's ability to adapt well and generalize to new tasks, thus, reducing both the time and data requirements for learning. However, a major drawback of meta learner is…

机器学习 · 计算机科学 2021-10-28 Varad Pimpalkhute , Amey Pandit , Mayank Mishra , Rekha Singhal

Most uses of Meta-Learning in visual recognition are very often applied to image classification, with a relative lack of works in other tasks {such} as segmentation and detection. We propose a generic Meta-Learning framework for few-shot…

计算机视觉与模式识别 · 计算机科学 2023-05-12 Hugo Oliveira , Pedro H. T. Gama , Isabelle Bloch , Roberto Marcondes Cesar

Graph Neural Networks (GNNs) are a framework for graph representation learning, where a model learns to generate low dimensional node embeddings that encapsulate structural and feature-related information. GNNs are usually trained in an…

机器学习 · 计算机科学 2020-12-15 Davide Buffelli , Fabio Vandin

Interpreting gradient methods as fixed-point iterations, we provide a detailed analysis of those methods for minimizing convex objective functions. Due to their conceptual and algorithmic simplicity, gradient methods are widely used in…

机器学习 · 统计学 2017-08-16 Alexander Jung

We present a gradient-based meta-learning framework for rapid adaptation of neural state-space models (NSSMs) for black-box system identification. When applicable, we also incorporate domain-specific physical constraints to improve the…

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

In our work, we propose a novel yet simple approach to obtain an adaptive learning rate for gradient-based descent methods on classification tasks. Instead of the traditional approach of selecting adaptive learning rates via the decayed…

机器学习 · 计算机科学 2023-04-21 Neel Mishra , Pawan Kumar

Deep learning is typically performed by learning a neural network solely from data in the form of input-output pairs ignoring available domain knowledge. In this work, the Constraint Guided Gradient Descent (CGGD) framework is proposed that…

人工智能 · 计算机科学 2022-06-15 Quinten Van Baelen , Peter Karsmakers

Meta-learning allows an intelligent agent to leverage prior learning episodes as a basis for quickly improving performance on a novel task. Bayesian hierarchical modeling provides a theoretical framework for formalizing meta-learning as…

机器学习 · 计算机科学 2018-01-29 Erin Grant , Chelsea Finn , Sergey Levine , Trevor Darrell , Thomas Griffiths

Unsupervised meta-learning aims to learn feature representations from unsupervised datasets that can transfer to downstream tasks with limited labeled data. In this paper, we propose a novel approach to unsupervised meta-learning that…

机器学习 · 计算机科学 2025-02-11 Anna Vettoruzzo , Lorenzo Braccaioli , Joaquin Vanschoren , Marlena Nowaczyk

Deep neural networks trained over large datasets learn features that are both generic to the whole dataset, and specific to individual classes in the dataset. Learned features tend towards generic in the lower layers and specific in the…

机器学习 · 计算机科学 2018-04-24 Edward Collier , Robert DiBiano , Supratik Mukhopadhyay