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Existing decentralized coded caching solutions cannot guarantee small loads in the general scenario with arbitrary file sizes and cache sizes. In this paper, we propose an optimization framework for decentralized coded caching in the…

信息论 · 计算机科学 2019-05-07 Qi Wang , Ying Cui , Sian Jin , Junni Zou , Chenglin Li , Hongkai Xiong

Imagine coating buildings and bridges with smart particles (also coined smart paint) that monitor structural integrity and sense and report on traffic and wind loads, leading to technology that could do such inspection jobs faster and…

We introduce a scalable algorithm, MUCCA, for multiclass node classification in weighted graphs. Unlike previously proposed methods for the same task, MUCCA works in time linear in the number of nodes. Our approach is based on a…

机器学习 · 计算机科学 2011-12-20 Giovanni Zappella

We give quantum circuits that simulate an arbitrary two-qubit unitary operator up to global phase. For several quantum gate libraries we prove that gate counts are optimal in worst and average cases. Our lower and upper bounds compare…

量子物理 · 物理学 2013-05-29 Vivek V. Shende , Igor L. Markov , Stephen S. Bullock

We propose a tactical homotopy-aware decision-making framework for game-theoretic motion planning in urban environments. We model urban driving as a generalized Nash equilibrium problem and employ a mixed-integer approach to tame the…

多智能体系统 · 计算机科学 2024-06-21 Michael Khayyat , Alessandro Zanardi , Stefano Arrigoni , Francesco Braghin

We present "Reciprocating Locks", a novel mutual exclusion locking algorithm, targeting cache-coherent shared memory (CC), that enjoys a number of desirable properties. The doorway arrival phase and the release operation both run in…

分布式、并行与集群计算 · 计算机科学 2025-07-14 Dave Dice , Alex Kogan

We describe an efficient algorithm to compute solutions for the general two-player Blotto game on n battlefields with heterogeneous values. While explicit constructions for such solutions have been limited to specific, largely symmetric or…

计算机科学与博弈论 · 计算机科学 2022-06-01 Vianney Perchet , Philippe Rigollet , Thibaut Le Gouic

We formulate the continual learning (CL) problem via dynamic programming and model the trade-off between catastrophic forgetting and generalization as a two-player sequential game. In this approach, player 1 maximizes the cost due to lack…

机器学习 · 计算机科学 2022-02-25 Krishnan Raghavan , Prasanna Balaprakash

We present a general framework for matching with transferable utility (TU) that accommodates arbitrary heterogeneity without relying on the logit structure. The optimal assignment problem is characterized by tractable linear programming…

计量经济学 · 经济学 2025-12-01 Alfred Galichon , Antoine Jacquet , Georgy Salakhutdinov

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

操作系统 · 计算机科学 2015-11-13 Mason Thammawichai , Eric C. Kerrigan

Stable computational algorithms for the approximate solution of the Cauchy problem for nonstationary problems are based on implicit time approximations. Computational costs for boundary value problems for systems of coupled multidimensional…

数值分析 · 数学 2024-03-28 P. N. Vabishchevich

We consider a variant of the online caching problem where the items exhibit dependencies among each other: an item can reside in the cache only if all its dependent items are also in the cache. The dependency relations can form any directed…

数据结构与算法 · 计算机科学 2024-01-31 Julien Dallot , Amirmehdi Jafari Fesharaki , Maciej Pacut , Stefan Schmid

We prove existence of a global conservative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line, allowing for nonvanishing and distinct asymptotics at plus and minus infinity. The solution is proven to…

偏微分方程分析 · 数学 2022-01-17 K. Grunert , H. Holden , X. Raynaud

Traditional online algorithms encapsulate decision making under uncertainty, and give ways to hedge against all possible future events, while guaranteeing a nearly optimal solution as compared to an offline optimum. On the other hand,…

数据结构与算法 · 计算机科学 2020-08-24 Thodoris Lykouris , Sergei Vassilvitskii

We describe a fast solver for linear systems with reconstructable Cauchy-like structure, which requires O(rn^2) floating point operations and O(rn) memory locations, where n is the size of the matrix and r its displacement rank. The solver…

数值分析 · 数学 2021-09-21 Antonio Arico' , Giuseppe Rodriguez

This paper presents a new achievable scheme for coded caching systems with $\mathsf{N}$ files, $\mathsf{K}=\mathsf{N}$ users, and cache size $\mathsf{M}=1/(\mathsf{N}-1)$. The scheme employs linear coding during the cache placement phase,…

信息论 · 计算机科学 2024-06-11 Yinbin Ma , Daniela Tuninetti

Algorithms for model checking and satisfiability of the modal $\mu$-calculus start by converting formulas to alternating parity tree automata. Thus, model checking is reduced to checking acceptance by tree automata and satisfiability to…

计算机科学中的逻辑 · 计算机科学 2022-08-24 Daniel Hausmann , Nir Piterman

We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems with Cauchy-like matrix. Despite its slightly higher computational cost, this new algorithm makes a more efficient use of the…

数值分析 · 数学 2011-04-29 Federico Poloni

A quantum board game is a multi-round protocol between a single quantum player against the quantum board. Molina and Watrous discovered quantum hedging. They gave an example for perfect quantum hedging: a board game with winning probability…

量子物理 · 物理学 2017-06-19 Maor Ganz , Or Sattath

We present a novel method for solving square jigsaw puzzles based on global optimization. The method is fully automatic, assumes no prior information, and can handle puzzles with known or unknown piece orientation. At the core of the…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Ben Vardi , Alessandro Torcinovich , Marina Khoroshiltseva , Marcello Pelillo , Ohad Ben-Shahar