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Generative models form the backbone of modern machine learning, underpinning state-of-the-art systems in text, vision, and multimodal applications. While Maximum Likelihood Estimation has traditionally served as the dominant training…

Bilevel optimization is a powerful tool for many machine learning problems, such as hyperparameter optimization and meta-learning. Estimating hypergradients (also known as implicit gradients) is crucial for developing gradient-based methods…

最优化与控制 · 数学 2025-05-06 Youran Dong , Junfeng Yang , Wei Yao , Jin Zhang

Although application examples of multilevel optimization have already been discussed since the 1990s, the development of solution methods was almost limited to bilevel cases due to the difficulty of the problem. In recent years, in machine…

最优化与控制 · 数学 2021-10-27 Ryo Sato , Mirai Tanaka , Akiko Takeda

Bilevel optimization and bilevel minimax optimization have recently emerged as unifying frameworks for a range of machine-learning tasks, including hyperparameter optimization and reinforcement learning. The existing literature focuses on…

机器学习 · 计算机科学 2026-04-23 Xuelin Zhang , Peipei Yuan

Bilevel optimization, a well-established field for modeling hierarchical decision-making problems, has recently intersected with sustainability studies and practices, resulting in a series of works focusing on bilevel optimization problems…

最优化与控制 · 数学 2026-04-07 Giulia Caselli , Manuel Iori , Ivana Ljubić

This paper presents a constrained-optimization formulation for the prioritized execution of learned robot tasks. The framework lends itself to the execution of tasks encoded by value functions, such as tasks learned using the reinforcement…

机器人学 · 计算机科学 2023-01-16 Gennaro Notomista

Bilevel optimization enjoys a wide range of applications in emerging machine learning and signal processing problems such as hyper-parameter optimization, image reconstruction, meta-learning, adversarial training, and reinforcement…

机器学习 · 计算机科学 2025-01-08 Han Shen , Quan Xiao , Tianyi Chen

This paper introduces self-paced task selection to multitask learning, where instances from more closely related tasks are selected in a progression of easier-to-harder tasks, to emulate an effective human education strategy, but applied to…

机器学习 · 统计学 2017-06-20 Keerthiram Murugesan , Jaime Carbonell

Bilevel Optimization has experienced significant advancements recently with the introduction of new efficient algorithms. Mirroring the success in single-level optimization, stochastic gradient-based algorithms are widely used in bilevel…

最优化与控制 · 数学 2024-11-12 Junyi Li , Heng Huang

Bilevel optimization has arisen as a powerful tool for many machine learning problems such as meta-learning, hyperparameter optimization, and reinforcement learning. In this paper, we investigate the nonconvex-strongly-convex bilevel…

机器学习 · 计算机科学 2021-08-30 Kaiyi Ji , Junjie Yang , Yingbin Liang

In this paper, we studied the federated bilevel optimization problem, which has widespread applications in machine learning. In particular, we developed two momentum-based algorithms for optimizing this kind of problem and established the…

机器学习 · 计算机科学 2022-12-22 Hongchang Gao

We study a class of algorithms for solving bilevel optimization problems in both stochastic and deterministic settings when the inner-level objective is strongly convex. Specifically, we consider algorithms based on inexact implicit…

最优化与控制 · 数学 2022-07-12 Michael Arbel , Julien Mairal

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

机器学习 · 计算机科学 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

Bilevel optimization provides a powerful framework for modelling hierarchical decision-making systems. This work presents a sensitivity-based algorithm that addresses the bilevel structure directly by treating the lower-level optimal…

最优化与控制 · 数学 2026-05-28 Eduardo Nolasco , Ross D. King , Vassilios S. Vassiliadis

Bilevel optimization is a key framework in hierarchical decision-making, where one problem is embedded within the constraints of another. In this work, we propose a control-theoretic approach to solving bilevel optimization problems. Our…

最优化与控制 · 数学 2025-03-25 Sina Sharifi , Nazanin Abolfazli , Erfan Yazdandoost Hamedani , Mahyar Fazlyab

In multi-task learning, multiple tasks are solved jointly, sharing inductive bias between them. Multi-task learning is inherently a multi-objective problem because different tasks may conflict, necessitating a trade-off. A common compromise…

机器学习 · 计算机科学 2019-01-14 Ozan Sener , Vladlen Koltun

A large number of application problems involve two levels of optimization, where one optimization task is nested inside the other. These problems are known as bilevel optimization problems and have been studied by both classical…

最优化与控制 · 数学 2017-05-09 Ankur Sinha , Zhichao Lu , Kalyanmoy Deb , Pekka Malo

In multi-task learning several related tasks are considered simultaneously, with the hope that by an appropriate sharing of information across tasks, each task may benefit from the others. In the context of learning linear functions for…

机器学习 · 计算机科学 2008-09-12 Laurent Jacob , Francis Bach , Jean-Philippe Vert

In this paper, we study a class of stochastic bilevel optimization problems, also known as stochastic simple bilevel optimization, where we minimize a smooth stochastic objective function over the optimal solution set of another stochastic…

Traditionally, multitask learning (MTL) assumes that all the tasks are related. This can lead to negative transfer when tasks are indeed incoherent. Recently, a number of approaches have been proposed that alleviate this problem by…

机器学习 · 计算机科学 2012-06-22 Wenliang Zhong , James Kwok