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We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

最优化与控制 · 数学 2015-03-24 Laura Ferranti , Tamas Keviczky

Large-scale non-convex optimization problems are expensive to solve due to computational and memory costs. To reduce the costs, first-order (computationally efficient) and asynchronous-parallel (memory efficient) algorithms are necessary to…

最优化与控制 · 数学 2022-11-21 Marco Bornstein , Jin-Peng Liu , Jingling Li , Furong Huang

The One Sided Crossing Minimization (OSCM) problem is an optimization problem in graph drawing that aims to minimize the number of edge crossings in bipartite graph layouts. It has practical applications in areas such as network…

分布式、并行与集群计算 · 计算机科学 2025-09-30 Bogdan-Ioan Popa , Adrian-Marius Dumitran , Livia Magureanu

Binary optimization is a powerful tool for modeling combinatorial problems, yet scalable and theoretically sound solution methods remain elusive. Conventional solvers often rely on heuristic strategies with weak guarantees or struggle with…

最优化与控制 · 数学 2026-05-12 Wenbo Liu , Akang Wang , Dun Ma , Hongyi Jiang , Jianghua Wu , Wenguo Yang

Optimal Transport is a popular distance metric for measuring similarity between distributions. Exact algorithms for computing Optimal Transport can be slow, which has motivated the development of approximate numerical solvers (e.g. Sinkhorn…

机器学习 · 计算机科学 2022-03-09 Nathaniel Lahn , Sharath Raghvendra , Kaiyi Zhang

We introduce a revised derivation of the bitwise Markov Chain Monte Carlo (MCMC) multiple-input multiple-output (MIMO) detector. The new approach resolves the previously reported high SNR stalling problem of MCMC without the need for…

信息论 · 计算机科学 2017-07-13 Jonathan C. Hedstrom , Chung Him , Yuen , Rong-Rong Chen , Behrouz Farhang-Boroujeny

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

In a graph $G$ with a source $s$, we design a distance oracle that can answer the following query: Query$(s,t,e)$ -- find the length of shortest path from a fixed source $s$ to any destination vertex $t$ while avoiding any edge $e$. We…

数据结构与算法 · 计算机科学 2022-07-01 Dipan Dey , Manoj Gupta

As computer clusters are found to be highly effective for handling massive datasets, the design of efficient parallel algorithms for such a computing model is of great interest. We consider ({\alpha}, k)-minimal algorithms for such a…

数据库 · 计算机科学 2014-03-24 Silu Huang , Ada Wai-Chee Fu

Generating time-optimal, collision-free trajectories for autonomous mobile robots involves a fundamental trade-off between guaranteeing safety and managing computational complexity. State-of-the-art approaches formulate spline-based motion…

机器人学 · 计算机科学 2026-03-26 Dries Dirckx , Jan Swevers , Wilm Decré

In the real-time decision-making and local planning process of autonomous vehicles in dynamic environments, the autonomous driving system may fail to find a reasonable policy or even gets trapped in some situation due to the complexity of…

机器人学 · 计算机科学 2019-09-18 Lilin Qian , Xin Xu , Yujun Zeng , Xiaohui Li , Zhenping Sun , Hang Song

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

Trajectory similarity measures act as query predicates in trajectory databases, making them the key player in determining the query results. They also have a heavy impact on the query efficiency. An ideal measure should have the capability…

数据库 · 计算机科学 2023-02-21 Yanchuan Chang , Jianzhong Qi , Yuxuan Liang , Egemen Tanin

Continuous-time quantum walks provide a natural framework to tackle the fundamental problem of finding a node among a set of marked nodes in a graph, known as spatial search. Whether spatial search by continuous-time quantum walk provides a…

量子物理 · 物理学 2022-10-24 Simon Apers , Shantanav Chakraborty , Leonardo Novo , Jérémie Roland

In this paper we study the adaptivity of submodular maximization. Adaptivity quantifies the number of sequential rounds that an algorithm makes when function evaluations can be executed in parallel. Adaptivity is a fundamental concept that…

数据结构与算法 · 计算机科学 2018-04-18 Eric Balkanski , Aviad Rubinstein , Yaron Singer

Every numerical general relativistic investigation starts from the solution of the initial value equations at a given time. Astrophysically relevant initial values for different systems lead to distinct set of equations that obey specific…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Lambros Boukas , Antonios Tsokaros , Koji Uryu

Slice Sampling has emerged as a powerful Markov Chain Monte Carlo algorithm that adapts to the characteristics of the target distribution with minimal hand-tuning. However, Slice Sampling's performance is highly sensitive to the…

机器学习 · 统计学 2021-10-05 Minas Karamanis , Florian Beutler

Stochastic nonconvex-concave min-max saddle point problems appear in many machine learning and control problems including distributionally robust optimization, generative adversarial networks, and adversarial learning. In this paper, we…

最优化与控制 · 数学 2023-09-12 Morteza Boroun , Zeinab Alizadeh , Afrooz Jalilzadeh

In this work, a classical problem of the digital sequence design, or more precisely, finding binary sequences with optimal peak sidelobe level (PSL), is revisited. By combining some of our previous works, together with some mathematical…

信号处理 · 电气工程与系统科学 2021-04-22 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

We present a continuous-time equivalent to the well-known iterative linear-quadratic algorithm including an implementation of a backtracking line-search policy and a novel regularization approach based on the necessary conditions in the…

系统与控制 · 电气工程与系统科学 2025-05-22 Juraj Lieskovský , Jaroslav Bušek , Tomáš Vyhlídal