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Trajectory optimization problems for legged robots are commonly formulated with fixed contact schedules. These multi-phase Hybrid Trajectory Optimization (HTO) methods result in locally optimal trajectories, but the result depends heavily…

机器人学 · 计算机科学 2023-09-19 Michael R. Turski , Joseph Norby , Aaron M. Johnson

This work proposes the adoption of Enhanced Gradient-Based Optimizer (EGBO) as a new approach to the Load Frequency Control (LFC) problem in a two-area interconnected power system. The importance of determining the optimal parameters for…

系统与控制 · 电气工程与系统科学 2022-12-08 Nabil Anan Orka , Sheikh Samit Muhaimin , Md. Nazmush Shakib Shahi , Ashik Ahmed

We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

最优化与控制 · 数学 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

统计计算 · 统计学 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

机器学习 · 计算机科学 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha

We study the carbon footprint optimization (CFO) of a heavy-duty e-truck traveling from an origin to a destination across a national highway network subject to a hard deadline, by optimizing path planning, speed planning, and intermediary…

最优化与控制 · 数学 2023-05-23 Junyan Su , Qiulin Lin , Minghua Chen

This paper proposes a new method for differentiating through optimal trajectories arising from non-convex, constrained discrete-time optimal control (COC) problems using the implicit function theorem (IFT). Previous works solve a…

机器学习 · 计算机科学 2023-10-25 Ming Xu , Timothy Molloy , Stephen Gould

Factor graph optimization serves as a fundamental framework for robotic perception, enabling applications such as pose estimation, simultaneous localization and mapping (SLAM), structure-from-motion (SfM), and situational awareness.…

系统与控制 · 电气工程与系统科学 2025-03-04 Anas Abdelkarim , Holger Voos , Daniel Görges

The idea of iterative process optimization based on collected output measurements, or "real-time optimization" (RTO), has gained much prominence in recent decades, with many RTO algorithms being proposed, researched, and developed. While…

最优化与控制 · 数学 2013-08-14 Gene A. Bunin , Grégory François , Dominique Bonvin

Powered descent guidance (PDG) problems subject to six-degrees-of-freedom (6DOF) dynamics allow for enforcement of practical attitude constraints. However, numerical solutions to 6DOF PDG problems are challenging due to fast rotational…

最优化与控制 · 数学 2025-01-27 Nicholas P. Nurre , Ehsan Taheri

The Lagrangian perturbation theory on Friedmann-Lemaitre cosmologies is compared with numerical simulations (tree-, adaptive P$^3$M- and PM codes). In previous work we have probed the large-scale performance of the Lagrangian perturbation…

天体物理学 · 物理学 2011-05-23 G. Karakatsanis , T. Buchert , A. L. Melott

Reducing the fuel consumption within a power network is crucial to enhance the overall system efficiency and minimize operating costs. Fuel consumption minimization can be achieved through different optimization techniques where the output…

最优化与控制 · 数学 2023-10-30 Md Isfakul Anam , Tuyen Vu

Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

统计力学 · 物理学 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

Simulation-based optimization (SO or SBO) has become increasingly important to address challenging transportation network design problems. In this paper, we propose to solve two toll pricing problems with different levels of complexity…

系统与控制 · 电气工程与系统科学 2020-11-25 Ziyuan Gu , Meead Saberi

Deep neural networks based on reinforcement learning (RL) for solving combinatorial optimization (CO) problems are developing rapidly and have shown a tendency to approach or even outperform traditional solvers. However, existing methods…

机器学习 · 计算机科学 2024-05-24 Chaoyang Wang , Pengzhi Cheng , Jingze Li , Weiwei Sun

We study optimization problems that are neither approximable in polynomial time (at least with a constant factor) nor fixed parameter tractable, under widely believed complexity assumptions. Specifically, we focus on Maximum Independent…

数据结构与算法 · 计算机科学 2008-10-29 Marek Cygan , Lukasz Kowalik , Marcin Pilipczuk , Mateusz Wykurz

Bilevel optimization (BO) is widely applicable to many machine learning problems. Scaling BO, however, requires repeatedly computing hypergradients, which involves solving inverse Hessian-vector products (IHVPs). In practice, these…

机器学习 · 计算机科学 2026-04-01 Disen Liao , Felix Dangel , Yaoliang Yu

Optimal transport (OT) is a general framework for finding a minimum-cost transport plan, or coupling, between probability distributions, and has many applications in machine learning. A key challenge in applying OT to massive datasets is…

机器学习 · 计算机科学 2024-11-19 Peter Halmos , Xinhao Liu , Julian Gold , Benjamin J Raphael

This study aims to develop a real-time intersection optimization (RIO) control algorithm to efficiently serve traffic of Connected and Automated Vehicles (CAVs) and conventional vehicles (CNVs). This paper extends previous work to consider…

信号处理 · 电气工程与系统科学 2020-07-09 Mahmoud Pourmehrab , Lily Elefteriadou , Sanjay Ranka

Lipschitz one-dimensional constrained global optimization (GO) problems where both the objective function and constraints can be multiextremal and non-differentiable are considered in this paper. Problems, where the constraints are verified…

最优化与控制 · 数学 2011-07-27 Yaroslav D. Sergeyev , Dmitri E. Kvasov , Falah M. H. Khalaf
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