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We study a type of Online Linear Programming (OLP) problem that maximizes the objective function with stochastic inputs. The performance of various algorithms that analyze this type of OLP is well studied when the stochastic inputs follow…

最优化与控制 · 数学 2022-10-04 Owen Shen

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

系统与控制 · 电气工程与系统科学 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

Lagrangian Relaxation (LR) is a powerful technique for solving large-scale Mixed Integer Linear Programming (MILP), particularly those with decomposable structures, such as vehicle routing or unit commitment problems. By relaxing the…

机器学习 · 统计学 2026-05-27 Tung Quoc Le , Anh Tuan Nguyen , Viet Anh Nguyen

Optimizing large-language model (LLM) training on distributed domain-specific accelerator systems presents significant challenges due to its complex optimization space. Existing optimization methods, however, rely on time-consuming manual…

多智能体系统 · 计算机科学 2025-11-07 Yuran Ding , Xinwei Chen , Xiaofan Zhang , Zongwei Zhou

Multi-task learning enhances model generalization by jointly learning from related tasks. This paper focuses on the $\ell_{1,\infty}$-norm constrained multi-task learning problem, which promotes a shared feature representation while…

最优化与控制 · 数学 2025-04-22 Lanyu Lin , Yong-Jin Liu , Bo Wang , Junfeng Yang

With the widespread adoption of machine learning systems, the need to curtail their behavior has become increasingly apparent. This is evidenced by recent advancements towards developing models that satisfy robustness, safety, and fairness…

机器学习 · 计算机科学 2024-03-19 Juan Elenter , Luiz F. O. Chamon , Alejandro Ribeiro

Conventional solvers are often computationally expensive for constrained optimization, particularly in large-scale and time-critical problems. While this leads to a growing interest in using neural networks (NNs) as fast optimal solution…

最优化与控制 · 数学 2024-09-24 Minsoo Kim , Hongseok Kim

Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein,…

机器学习 · 计算机科学 2024-09-02 Talha Bozkus , Urbashi Mitra

Operating autonomous vehicles at the absolute limits of handling requires precise, real-time identification of highly non-linear tire dynamics. However, traditional online optimization methods suffer from "cold-start" initialization…

机器人学 · 计算机科学 2026-03-11 Zhiping Wu , Cheng Hu , Yiqin Wang , Lei Xie , Hongye Su

The ability of artificial agents to increment their capabilities when confronted with new data is an open challenge in artificial intelligence. The main challenge faced in such cases is catastrophic forgetting, i.e., the tendency of neural…

机器学习 · 计算机科学 2020-12-16 Eden Belouadah , Adrian Popescu , Ioannis Kanellos

We consider a bilevel learning framework for learning linear operators. In this framework, the learnable parameters are optimized via a loss function that also depends on the minimizer of a convex optimization problem (denoted lower-level…

The increasing reliance on numerical methods for controlling dynamical systems and training machine learning models underscores the need to devise algorithms that dependably and efficiently navigate complex optimization landscapes.…

系统与控制 · 电气工程与系统科学 2024-06-04 Andrea Martin , Luca Furieri

Lane detection plays a crucial role in autonomous driving by providing vital data to ensure safe navigation. Modern algorithms rely on anchor-based detectors, which are then followed by a label-assignment process to categorize training…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Sapir Kontente , Roy Orfaig , Ben-Zion Bobrovsky

Active learning strives to reduce the need for costly data annotation, by repeatedly querying an annotator to label the most informative samples from a pool of unlabeled data, and then training a model from these samples. We identify two…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Jiarong Wei , Yancong Lin , Holger Caesar

Learning Automata (LA) are considered as one of the most powerful tools in the field of reinforcement learning. The family of estimator algorithms is proposed to improve the convergence rate of LA and has made great achievements. However,…

人工智能 · 计算机科学 2017-12-04 Chong Di

We consider the question of speeding up classic graph algorithms with machine-learned predictions. In this model, algorithms are furnished with extra advice learned from past or similar instances. Given the additional information, we aim to…

数据结构与算法 · 计算机科学 2022-04-27 Justin Y. Chen , Sandeep Silwal , Ali Vakilian , Fred Zhang

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…

机器人学 · 计算机科学 2024-11-14 Martin Robert , Simon Brodeur , Francois Ferland

Simulation and modeling are essential in product development, integrated into the design and manufacturing process to enhance efficiency and quality. They are typically represented as complex nonlinear differential algebraic equations. The…

机器学习 · 计算机科学 2026-03-25 Wenqiang Yang , Wenyuan Wu , Yong Feng , Changbo Chen

We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic constraint. Typically, such cost functions are non-differentiable, which makes them not…

最优化与控制 · 数学 2025-07-08 Mohammed Rayyan Sheriff , Floor Fenne Redel , Peyman Mohajerin Esfahani

We propose an input convex neural network (ICNN)-based self-supervised learning framework to solve continuous constrained optimization problems. By integrating the augmented Lagrangian method (ALM) with the constraint correction mechanism,…

最优化与控制 · 数学 2025-05-08 Kang Liu , Wei Peng , Jianchen Hu