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Mirror descent uses the mirror function to encode geometry and constraints, improving convergence while preserving feasibility. Accelerated Mirror Descent Methods (Acc-MD) are derived from a discretization of an accelerated mirror ODE…

Optimization and Control · Mathematics 2026-01-28 Long Chen , Hao Luo , Jingrong Wei , Zeyi Xu , Yuan Yao

In the paper, we propose a class of efficient adaptive bilevel methods based on mirror descent for nonconvex bilevel optimization, where its upper-level problem is nonconvex possibly with nonsmooth regularization, and its lower-level…

Optimization and Control · Mathematics 2023-11-21 Feihu Huang

We consider the problem of minimization of a convex function on a simple set with convex non-smooth inequality constraint and describe first-order methods to solve such problems in different situations: smooth or non-smooth objective…

Optimization and Control · Mathematics 2018-01-30 Anastasia Bayandina , Pavel Dvurechensky , Alexander Gasnikov , Fedor Stonyakin , Alexander Titov

In critical care settings such as the Intensive Care Unit, clinicians face the complex challenge of balancing conflicting objectives, primarily maximizing patient survival while minimizing resource utilization (e.g., length of stay).…

Machine Learning · Computer Science 2025-12-10 Aryaman Bansal , Divya Sharma

In this paper, we consider an online distributed composite optimization problem over a time-varying multi-agent network that consists of multiple interacting nodes, where the objective function of each node consists of two parts: a loss…

Optimization and Control · Mathematics 2020-04-03 Deming Yuan , Yiguang Hong , Daniel W. C. Ho , Shengyuan Xu

Online convex optimization is a sequential prediction framework with the goal to track and adapt to the environment through evaluating proper convex loss functions. We study efficient particle filtering methods from the perspective of such…

Machine Learning · Computer Science 2018-07-23 Mahdi Azarafrooz

Quadrupedal locomotion is a complex, open-ended problem vital to expanding autonomous vehicle reach. Traditional reinforcement learning approaches often fall short due to training instability and sample inefficiency. We propose a novel…

Robotics · Computer Science 2024-11-14 Martin Robert , Simon Brodeur , Francois Ferland

In online convex optimization it is well known that certain subclasses of objective functions are much easier than arbitrary convex functions. We are interested in designing adaptive methods that can automatically get fast rates in as many…

Machine Learning · Computer Science 2021-08-31 Tim van Erven , Wouter M. Koolen

Reinforcement Learning from Human Feedback (RLHF) has been highly successful in aligning large language models with human preferences. While prevalent methods like DPO have demonstrated strong performance, they frame interactions with the…

Machine Learning · Computer Science 2025-05-27 Yongtao Wu , Luca Viano , Yihang Chen , Zhenyu Zhu , Kimon Antonakopoulos , Quanquan Gu , Volkan Cevher

We study an online multi-task learning setting, in which instances of related tasks arrive sequentially, and are handled by task-specific online learners. We consider an algorithmic framework to model the relationship of these tasks via a…

Machine Learning · Computer Science 2017-02-10 Christoph Hirnschall , Adish Singla , Sebastian Tschiatschek , Andreas Krause

Multi-objective reinforcement learning (MORL) is the generalization of standard reinforcement learning (RL) approaches to solve sequential decision making problems that consist of several, possibly conflicting, objectives. Generally, in…

Artificial Intelligence · Computer Science 2019-10-08 Xi Chen , Ali Ghadirzadeh , Mårten Björkman , Patric Jensfelt

The Intelligent Transportation System (ITS) environment is known to be dynamic and distributed, where participants (vehicle users, operators, etc.) have multiple, changing and possibly conflicting objectives. Although Reinforcement Learning…

Machine Learning · Computer Science 2024-03-19 Jing Tan , Ramin Khalili , Holger Karl

We propose a new family of adaptive first-order methods for a class of convex minimization problems that may fail to be Lipschitz continuous or smooth in the standard sense. Specifically, motivated by a recent flurry of activity on…

Optimization and Control · Mathematics 2021-07-19 Kimon Antonakopoulos , Panayotis Mertikopoulos

We study the problem of online personalized decentralized learning with $N$ statistically heterogeneous clients collaborating to accelerate local training. An important challenge in this setting is to select relevant collaborators to reduce…

Machine Learning · Statistics 2025-07-10 Constantin Philippenko , Batiste Le Bars , Kevin Scaman , Laurent Massoulié

Multi-objective learning (MOL) problems often arise in emerging machine learning problems when there are multiple learning criteria, data modalities, or learning tasks. Different from single-objective learning, one of the critical…

Machine Learning · Computer Science 2025-03-28 Lisha Chen , Heshan Fernando , Yiming Ying , Tianyi Chen

In this paper, we aim to utilize only offline trajectory data to train a policy for multi-objective RL. We extend the offline policy-regularized method, a widely-adopted approach for single-objective offline RL problems, into the…

Machine Learning · Computer Science 2024-01-05 Qian Lin , Chao Yu , Zongkai Liu , Zifan Wu

We consider an online revenue maximization problem over a finite time horizon subject to lower and upper bounds on cost. At each period, an agent receives a context vector sampled i.i.d. from an unknown distribution and needs to make a…

Machine Learning · Computer Science 2021-04-21 Alfonso Lobos , Paul Grigas , Zheng Wen

The field of chemistry and Artificial Intelligence (AI) intersection is an area of active research that aims to accelerate scientific discovery. The integration of large language models (LLMs) with scientific modalities has shown…

Computation and Language · Computer Science 2024-07-16 Dimitris Gkoumas

Humans and animals can learn complex predictive models that allow them to accurately and reliably reason about real-world phenomena, and they can adapt such models extremely quickly in the face of unexpected changes. Deep neural network…

Machine Learning · Computer Science 2019-01-30 Anusha Nagabandi , Chelsea Finn , Sergey Levine

Multi-objective Reinforcement Learning (MORL) seeks to develop policies that simultaneously optimize multiple conflicting objectives, but it requires extensive online interactions. Offline MORL provides a promising solution by training on…

Machine Learning · Computer Science 2025-05-28 Yifu Yuan , Zhenrui Zheng , Zibin Dong , Jianye Hao
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