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The solution of sequences of shifted linear systems is a classic problem in numerical linear algebra, and a variety of efficient methods have been proposed over the years. Nevertheless, there still exist challenging scenarios witnessing a…

数值分析 · 数学 2026-01-28 Hussam Al Daas , Davide Palitta

Generating random variates from high-dimensional distributions is often done approximately using Markov chain Monte Carlo. In certain cases, perfect simulation algorithms exist that allow one to draw exactly from the stationary…

数据结构与算法 · 计算机科学 2017-01-05 Mark Huber

Particulate flows have been largely studied under the simplifying assumptions of one-way coupling regime where the disperse phase do not react-back on the carrier fluid. In the context of turbulent flows, many non trivial phenomena such as…

混沌动力学 · 物理学 2023-07-19 P. Gualtieri , F. Picano , G. Sardina , C. M. Casciola

For a control problem with multiple conflicting objectives, there exists a set of Pareto-optimal policies called the Pareto set instead of a single optimal policy. When a multi-objective control problem is continuous and complex,…

人工智能 · 计算机科学 2024-06-28 Tianye Shu , Ke Shang , Cheng Gong , Yang Nan , Hisao Ishibuchi

Packing rings into a minimum number of rectangles is an optimization problem which appears naturally in the logistics operations of the tube industry. It encompasses two major difficulties, namely the positioning of rings in rectangles and…

最优化与控制 · 数学 2019-01-07 Ambros Gleixner , Stephen Maher , Benjamin Müller , João Pedro Pedroso

We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are large, indefinite, ill-conditioned, and complex-valued. We…

数值分析 · 数学 2026-02-03 Yan Xie , Shihua Gong , Ivan G. Graham , Euan A. Spence , Chen-Song Zhang

Linear programming (LP) relaxations are widely employed in exact solution methods for multilinear programs (MLP). One example is the family of Recursive McCormick Linearization (RML) strategies, where bilinear products are substituted for…

最优化与控制 · 数学 2022-07-20 Arvind U Raghunathan , Carlos Cardonha , David Bergman , Carlos J Nohra

Given a probability distribution $\mathcal{D}$ over the non-negative integers, a $\mathcal{D}$-repeat channel acts on an input symbol by repeating it a number of times distributed as $\mathcal{D}$. For example, the binary deletion channel…

信息论 · 计算机科学 2022-02-08 Francisco Pernice , Ray Li , Mary Wootters

Signal Temporal Logic (STL) is expressive formal language that specifies spatio-temporal requirements in robotics. Its quantitative robustness semantics can be easily integrated with optimization-based control frameworks. However, STL…

机器人学 · 计算机科学 2026-03-10 Tianhao Wu , Yiwei Lyu

Real-world scenarios are characterized by timing uncertainties, e.g., delays, and disturbances. Algorithms with temporal robustness are crucial in guaranteeing the successful execution of tasks and missions in such scenarios. We study…

系统与控制 · 电气工程与系统科学 2024-03-19 Nhan-Khanh Le , Erfaun Noorani , Sandra Hirche , John Baras

The input to the NP-hard Point Line Cover problem (PLC) consists of a set $P$ of $n$ points on the plane and a positive integer $k$, and the question is whether there exists a set of at most $k$ lines which pass through all points in $P$. A…

数据结构与算法 · 计算机科学 2013-07-10 Stefan Kratsch , Geevarghese Philip , Saurabh Ray

Parallel, additive white Gaussian noise (AWGN) channels with an average sum power constraint are considered. It is shown how the waterfilling Shannon capacity can be approached by higher order modulation and probabilistic amplitude shaping…

信息论 · 计算机科学 2018-04-06 Fabian Steiner , Georg Böcherer , Patrick Schulte

In Polyamorous Scheduling, we are given an edge-weighted graph and must find a periodic schedule of matchings in this graph which minimizes the maximal weighted waiting time between consecutive occurrences of the same edge. This NP-hard…

数据结构与算法 · 计算机科学 2024-11-12 Yuriy Biktairov , Leszek Gąsieniec , Wanchote Po Jiamjitrak , Namrata , Benjamin Smith , Sebastian Wild

This research introduces a novel application of a masked Proximal Policy Optimization (PPO) algorithm from the field of deep reinforcement learning (RL), for determining the most efficient sequence of space debris visitation, utilizing the…

机器学习 · 计算机科学 2024-09-26 Agni Bandyopadhyay , Guenther Waxenegger-Wilfing

In this paper, we investigate the problem of scheduling parallel Kalman filters for multiple processes, where each process is observed by a Kalman filter and at each time step only one Kalman filter could obtain observation due to practical…

最优化与控制 · 数学 2012-07-18 Chen Wang , Zhiyun Lin , Gangfeng Yan

In the machine learning system, the hybrid model parallelism combining tensor parallelism (TP) and pipeline parallelism (PP) has become the dominant solution for distributed training of Large Language Models~(LLMs) and Multimodal LLMs…

分布式、并行与集群计算 · 计算机科学 2025-11-03 Mengshi Qi , Jiaxuan Peng , Jie Zhang , Juan Zhu , Yong Li , Huadong Ma

This article addresses the problem of Ultra Reliable Low Latency Communications (URLLC) in wireless networks, a framework with particularly stringent constraints imposed by many Internet of Things (IoT) applications from diverse sectors. We…

网络与互联网体系结构 · 计算机科学 2023-08-29 Benoît-Marie Robaglia , Marceau Coupechoux , Dimitrios Tsilimantos

The crew pairing problem (CPP) is generally modelled as a set partitioning problem where the flights have to be partitioned in pairings. A pairing is a sequence of flight legs separated by connection time and rest periods that starts and…

人工智能 · 计算机科学 2020-10-02 Yassine Yaakoubi , François Soumis , Simon Lacoste-Julien

For rotationally invariant first passage percolation (FPP) on the plane, we use a multi-scale argument to prove stretched exponential concentration of the first passage times at the scale of the standard deviation. Our results are proved…

概率论 · 数学 2023-12-22 Riddhipratim Basu , Vladas Sidoravicius , Allan Sly

Many-core systems require inter-core communication, and network-on-chips (NoCs) have been demonstrated to provide good scalability. However, not only the distributed structure but also the link switching on the NoCs have imposed a great…

分布式、并行与集群计算 · 计算机科学 2019-10-22 Niklas Ueter , Georg von der Brueggen , Jian-Jia Chen , Tulika Mitra , Vanchinathan Venkataramani