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The $O(N)$ stochastic propagation method, which relies on the numerical solution of the time-dependent Schr\"odinger equation using random initial states, is widely used in large-scale first-principles calculations. In this work, we…

Computational Physics · Physics 2025-10-22 Zhichang Fu , Yunhai Li , Weiqing Zhou , Shengjun Yuan

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-28 Mikhail Raskin

The stable marriage problem is a well-known problem of matching men to women so that no man and woman, who are not married to each other, both prefer each other. Such a problem has a wide variety of practical applications, ranging from…

Artificial Intelligence · Computer Science 2016-11-25 Maria Silvia Pini , Francesca Rossi , Brent Venable , Toby Walsh

Permutation patterns and pattern avoidance have been intensively studied in combinatorics and computer science, going back at least to the seminal work of Knuth on stack-sorting (1968). Perhaps the most natural algorithmic question in this…

Data Structures and Algorithms · Computer Science 2019-08-14 Benjamin Aram Berendsohn , László Kozma , Dániel Marx

This paper studies what can be computed by using probabilistic local interactions with agents with a very restricted power in polylogarithmic parallel time. It is known that if agents are only finite state (corresponding to the Population…

Computational Complexity · Computer Science 2017-05-30 Rabie Mikaël

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

Herman's algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics of the protocol very difficult to analyze. In this paper we…

Data Structures and Algorithms · Computer Science 2011-04-18 Stefan Kiefer , Andrzej Murawski , Joël Ouaknine , James Worrell , Lijun Zhang

We propose a protocol based on coherent states and linear optics operations for solving the appointment-scheduling problem. Our main protocol leaks strictly less information about each party's input than the optimal classical protocol, even…

Quantum Physics · Physics 2018-04-18 Dave Touchette , Benjamin Lovitz , Norbert Lütkenhaus

We investigate the problem of stochastic network optimization in the presence of imperfect state prediction and non-stationarity. Based on a novel distribution-accuracy curve prediction model, we develop the predictive learning-aided…

Optimization and Control · Mathematics 2018-07-09 Longbo Huang , Minghua Chen , Yunxin Liu

We propose a new theoretical model for passively mobile Wireless Sensor Networks. We call it the PALOMA model, standing for PAssively mobile LOgarithmic space MAchines. The main modification w.r.t. the Population Protocol model is that…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-21 Ioannis Chatzigiannakis , Othon Michail , Stavros Nikolaou , Andreas Pavlogiannis , Paul G. Spirakis

This paper addresses the problem of computing a scheduling policy that minimizes the total expected completion time of a set of $N$ jobs with stochastic processing times on $m$ parallel identical machines. When all processing times follow…

Data Structures and Algorithms · Computer Science 2025-05-07 Antonios Antoniadis , Ruben Hoeksma , Kevin Schewior , Marc Uetz

This paper presents a randomized self-stabilizing algorithm that elects a leader $r$ in a general $n$-node undirected graph and constructs a spanning tree $T$ rooted at $r$. The algorithm works under the synchronous message passing network…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-13 Xavier Défago , Yuval Emek , Shay Kutten , Toshimitsu Masuzawa , Yasumasa Tamura

This paper investigates the fixed-time consensus problem for a class of multi-agent systems with simple dynamics. Unlike the traditional way to realize fixed-time convergence, a novel strategy using the property of periodic functions is…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Yuquan Chen , Fumian Wang , Bing Wang

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

We study the Multiple Cluster Scheduling problem and the Multiple Strip Packing problem. For both problems, there is no algorithm with approximation ratio better than $2$ unless $P = NP$. In this paper, we present an algorithm with…

Data Structures and Algorithms · Computer Science 2019-02-12 Klaus Jansen , Malin Rau

The population protocol model introduced by Angluin et al. in 2006 offers a theoretical framework for designing and analyzing distributed algorithms among limited-resource mobile agents. While the original population protocol model…

Cryptography and Security · Computer Science 2023-05-05 Talley Amir , James Aspnes

Understanding how information can efficiently spread in distributed systems under noisy communications is a fundamental question in both biological research and artificial system design. When agents are able to control whom they interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-11 Niccolò D'Archivio , Amos Korman , Emanuele Natale , Robin Vacus

We study the problem of finding "fair" stable matchings in the Stable Marriage problem with Incomplete lists (SMI). In particular, we seek stable matchings that are optimal with respect to profile, which is a vector that indicates the…

Data Structures and Algorithms · Computer Science 2020-09-14 Frances Cooper , David Manlove

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers the questions posed in Tr\"aff (2022). The problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-03 Jesper Larsson Träff

In this paper, we introduce regularized stochastic team problems. Under mild assumptions, we prove that there exists an unique fixed point of the best response operator, where this unique fixed point is the optimal regularized team decision…

Optimization and Control · Mathematics 2020-11-09 Naci Saldi