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Computational imaging has been revolutionized by compressed sensing algorithms, which offer guaranteed uniqueness, convergence, and stability properties. Model-based deep learning methods that combine imaging physics with learned…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Aniket Pramanik , M. Bridget Zimmerman , Mathews Jacob

In this paper, we consider gradient methods for minimizing smooth convex functions, which employ the information obtained at the previous iterations in order to accelerate the convergence towards the optimal solution. This information is…

Optimization and Control · Mathematics 2021-06-02 Yurii Nesterov , Mihai I. Florea

Classically, the time complexity of a first-order method is estimated by its number of gradient computations. In this paper, we study a more refined complexity by taking into account the `lingering' of gradients: once a gradient is computed…

Optimization and Control · Mathematics 2019-05-29 Zeyuan Allen-Zhu , David Simchi-Levi , Xinshang Wang

In this paper, we consider first-order convergence theory and algorithms for solving a class of non-convex non-concave min-max saddle-point problems, whose objective function is weakly convex in the variables of minimization and weakly…

Optimization and Control · Mathematics 2021-07-08 Mingrui Liu , Hassan Rafique , Qihang Lin , Tianbao Yang

Model-agnostic meta-learning (MAML) is a popular method for few-shot learning but assumes that we have access to the meta-training set. In practice, training on the meta-training set may not always be an option due to data privacy concerns,…

Machine Learning · Computer Science 2021-03-17 Namyeong Kwon , Hwidong Na , Gabriel Huang , Simon Lacoste-Julien

Invex programs are a special kind of non-convex problems which attain global minima at every stationary point. While classical first-order gradient descent methods can solve them, they converge very slowly. In this paper, we propose new…

Optimization and Control · Mathematics 2023-07-11 Adarsh Barik , Suvrit Sra , Jean Honorio

Drawing inspiration from gradient-based meta-learning methods with infinitely small gradient steps, we introduce Continuous-Time Meta-Learning (COMLN), a meta-learning algorithm where adaptation follows the dynamics of a gradient vector…

Machine Learning · Computer Science 2022-03-04 Tristan Deleu , David Kanaa , Leo Feng , Giancarlo Kerg , Yoshua Bengio , Guillaume Lajoie , Pierre-Luc Bacon

First order methods endowed with global convergence guarantees operate using global lower bounds on the objective. The tightening of the bounds has been shown to increase both the theoretical guarantees and the practical performance. In…

Optimization and Control · Mathematics 2024-04-30 Mihai I. Florea , Yurii Nesterov

Meta-learning stands for 'learning to learn' such that generalization to new tasks is achieved. Among these methods, Gradient-based meta-learning algorithms are a specific sub-class that excel at quick adaptation to new tasks with limited…

Machine Learning · Computer Science 2020-10-20 Jathushan Rajasegaran , Salman Khan , Munawar Hayat , Fahad Shahbaz Khan , Mubarak Shah

We study the problem of fine-tuning a language model (LM) for a target task by optimally using the information from $n$ auxiliary tasks. This problem has broad applications in NLP, such as targeted instruction tuning and data selection in…

Computation and Language · Computer Science 2025-06-03 Dongyue Li , Ziniu Zhang , Lu Wang , Hongyang R. Zhang

To accelerate learning process with few samples, meta-learning resorts to prior knowledge from previous tasks. However, the inconsistent task distribution and heterogeneity is hard to be handled through a global sharing model…

Machine Learning · Computer Science 2022-06-22 Geng Li , Boyuan Ren , Hongzhi Wang

The Continual Learning (CL) problem involves performing well on a sequence of tasks under limited compute. Current algorithms in the domain are either slow, offline or sensitive to hyper-parameters. La-MAML, an optimization-based…

Machine Learning · Computer Science 2021-05-21 Joel Joseph , Alex Gu

Empirical Risk Minimization (ERM) based machine learning algorithms have suffered from weak generalization performance on data obtained from out-of-distribution (OOD). To address this problem, Invariant Risk Minimization (IRM) objective was…

Machine Learning · Computer Science 2021-03-25 Jun-Hyun Bae , Inchul Choi , Minho Lee

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…

Machine Learning · Computer Science 2025-04-03 Grzegorz Rypeść

Model-agnostic meta-learning (MAML) has emerged as one of the most successful meta-learning techniques in few-shot learning. It enables us to learn a meta-initialization} of model parameters (that we call meta-model) to rapidly adapt to new…

Machine Learning · Computer Science 2021-02-23 Ren Wang , Kaidi Xu , Sijia Liu , Pin-Yu Chen , Tsui-Wei Weng , Chuang Gan , Meng Wang

Meta-learning methods have shown an impressive ability to train models that rapidly learn new tasks. However, these methods only aim to perform well in expectation over tasks coming from some particular distribution that is typically…

Machine Learning · Computer Science 2020-06-22 Liam Collins , Aryan Mokhtari , Sanjay Shakkottai

A continual learning agent should be able to build on top of existing knowledge to learn on new data quickly while minimizing forgetting. Current intelligent systems based on neural network function approximators arguably do the…

Machine Learning · Computer Science 2019-11-01 Khurram Javed , Martha White

In this paper we consider stochastic composite convex optimization problems with the objective function satisfying a stochastic bounded gradient condition, with or without a quadratic functional growth property. These models include the…

Optimization and Control · Mathematics 2020-03-10 Ion Necoara

The usual approach to developing and analyzing first-order methods for smooth convex optimization assumes that the gradient of the objective function is uniformly smooth with some Lipschitz constant $L$. However, in many settings the…

Optimization and Control · Mathematics 2017-10-11 Haihao Lu , Robert M. Freund , Yurii Nesterov

Learning an efficient update rule from data that promotes rapid learning of new tasks from the same distribution remains an open problem in meta-learning. Typically, previous works have approached this issue either by attempting to train a…

Machine Learning · Computer Science 2020-02-19 Sebastian Flennerhag , Andrei A. Rusu , Razvan Pascanu , Francesco Visin , Hujun Yin , Raia Hadsell
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