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Tuning hyperparameters, such as the stepsize, presents a major challenge of training machine learning models. To address this challenge, numerous adaptive optimization algorithms have been developed that achieve near-optimal complexities,…

Optimization and Control · Mathematics 2023-11-07 Florian Hübler , Junchi Yang , Xiang Li , Niao He

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

Machine Learning · Statistics 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry

Meta-learning leverages related source tasks to learn an initialization that can be quickly fine-tuned to a target task with limited labeled examples. However, many popular meta-learning algorithms, such as model-agnostic meta-learning…

Machine Learning · Statistics 2020-03-24 Diana Cai , Rishit Sheth , Lester Mackey , Nicolo Fusi

Motivated by the training of Generative Adversarial Networks (GANs), we study methods for solving minimax problems with additional nonsmooth regularizers. We do so by employing \emph{monotone operator} theory, in particular the…

Optimization and Control · Mathematics 2020-06-17 Axel Böhm , Michael Sedlmayer , Ernö Robert Csetnek , Radu Ioan Boţ

Deep Metric Learning (DML) is a group of techniques that aim to measure the similarity between objects through the neural network. Although the number of DML methods has rapidly increased in recent years, most previous studies cannot…

Machine Learning · Computer Science 2022-12-02 Chenkang Zhang , Lei Luo , Bin Gu

We present a new feasible proximal gradient method for constrained optimization where both the objective and constraint functions are given by the summation of a smooth, possibly nonconvex function and a convex simple function. The…

Optimization and Control · Mathematics 2024-02-01 Digvijay Boob , Qi Deng , Guanghui Lan

We consider the problem of few-shot spoken word classification in a setting where a model is incrementally introduced to new word classes. This would occur in a user-defined keyword system where new words can be added as the system is used.…

Computation and Language · Computer Science 2023-05-31 Ruan van der Merwe , Herman Kamper

Classical global convergence results for first-order methods rely on uniform smoothness and the \L{}ojasiewicz inequality. Motivated by properties of objective functions that arise in machine learning, we propose a non-uniform refinement of…

Machine Learning · Computer Science 2022-06-03 Jincheng Mei , Yue Gao , Bo Dai , Csaba Szepesvari , Dale Schuurmans

A major challenge of reinforcement learning (RL) in real-world applications is the variation between environments, tasks or clients. Meta-RL (MRL) addresses this issue by learning a meta-policy that adapts to new tasks. Standard MRL methods…

Machine Learning · Computer Science 2023-10-03 Ido Greenberg , Shie Mannor , Gal Chechik , Eli Meirom

An important research direction in machine learning has centered around developing meta-learning algorithms to tackle few-shot learning. An especially successful algorithm has been Model Agnostic Meta-Learning (MAML), a method that consists…

Machine Learning · Computer Science 2020-02-13 Aniruddh Raghu , Maithra Raghu , Samy Bengio , Oriol Vinyals

Stochastic gradient descent is the method of choice for large scale optimization of machine learning objective functions. Yet, its performance is greatly variable and heavily depends on the choice of the stepsizes. This has motivated a…

Machine Learning · Statistics 2019-02-28 Xiaoyu Li , Francesco Orabona

The goal of policy-based reinforcement learning (RL) is to search the maximal point of its objective. However, due to the inherent non-concavity of its objective, convergence to a first-order stationary point (FOSP) can not guarantee the…

Machine Learning · Computer Science 2020-12-04 Long Yang , Qian Zheng , Gang Pan

We tackle the general differentiable meta learning problem that is ubiquitous in modern deep learning, including hyperparameter optimization, loss function learning, few-shot learning, invariance learning and more. These problems are often…

Machine Learning · Computer Science 2024-10-15 Minyoung Kim , Timothy M. Hospedales

In this paper, we show how to transform any optimization problem that arises from fitting a machine learning model into one that (1) detects and removes contaminated data from the training set while (2) simultaneously fitting the trimmed…

Machine Learning · Statistics 2017-02-07 Aleksandr Aravkin , Damek Davis

Robust Model-Agnostic Meta-Learning (MAML) is usually adopted to train a meta-model which may fast adapt to novel classes with only a few exemplars and meanwhile remain robust to adversarial attacks. The conventional solution for robust…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Xiaoyue Duan , Guoliang Kang , Runqi Wang , Shumin Han , Song Xue , Tian Wang , Baochang Zhang

In this paper, we consider the problem of reference tracking in uncertain nonlinear systems. A neural State-Space Model (NSSM) is used to approximate the nonlinear system, where a deep encoder network learns the nonlinearity from data, and…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Jiaqi Yan , Ankush Chakrabarty , Alisa Rupenyan , John Lygeros

We study online linear optimization with matrix variables constrained by the operator norm, a setting where the geometry renders designing data-dependent and efficient adaptive algorithms challenging. The best-known adaptive regret bounds…

Optimization and Control · Mathematics 2026-02-10 Ruichen Jiang , Zakaria Mhammedi , Mehryar Mohri , Aryan Mokhtari

Nonlinearly constrained nonconvex and nonsmooth optimization models play an increasingly important role in machine learning, statistics and data analytics. In this paper, based on the augmented Lagrangian function we introduce a flexible…

Optimization and Control · Mathematics 2020-07-27 Daoli Zhu , Lei Zhao , Shuzhong Zhang

Continual learning in multimodal large language models (MLLMs) aims to sequentially acquire knowledge while mitigating catastrophic forgetting, yet existing methods face inherent limitations: architecture-based approaches incur additional…

Machine Learning · Computer Science 2026-05-15 Yuehao Liu , Shanyan Guan , Weijia Zhang , Xuanming Shang , Yanhao Ge , Wei Li , Chao Ma

Data driven control of a continuum manipulator requires a lot of data for training but generating sufficient amount of real time data is not cost efficient. Random actuation of the manipulator can also be unsafe sometimes. Meta learning has…

Robotics · Computer Science 2024-03-28 Alok Ranjan Sahoo , Pavan Chakraborty