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In this work, we present an $\Omega\left(\min\{\log \Delta, \sqrt{\log n}\}\right)$ lower bound for Maximal Matching (MM) in $\Delta$-ary trees against randomized algorithms. By a folklore reduction, the same lower bound applies to Maximal…

分布式、并行与集群计算 · 计算机科学 2025-05-22 Seri Khoury , Aaron Schild

Emerging applications of control, estimation, and machine learning, ranging from target tracking to decentralized model fitting, pose resource constraints that limit which of the available sensors, actuators, or data can be simultaneously…

最优化与控制 · 数学 2020-12-15 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

Motivated by recent distributed systems technology, Aguilera et al. introduced a hybrid model of distributed computing, called message-and-memory model or m&m model for short [1]. In this model, processes can communicate by message passing…

分布式、并行与集群计算 · 计算机科学 2020-12-15 Vassos Hadzilacos , Xing Hu , Sam Toueg

We consider distributed statistical optimization in one-shot setting, where there are $m$ machines each observing $n$ i.i.d. samples. Based on its observed samples, each machine sends a $B$-bit-long message to a server. The server then…

机器学习 · 计算机科学 2020-01-01 Saber Salehkaleybar , Arsalan Sharifnassab , S. Jamaloddin Golestani

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

数据结构与算法 · 计算机科学 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

We consider the problem of developing automated techniques for solving recurrence relations to aid the expected-runtime analysis of programs. Several classical textbook algorithms have quite efficient expected-runtime complexity, whereas…

编程语言 · 计算机科学 2017-05-02 Krishnendu Chatterjee , Hongfei Fu , Aniket Murhekar

Cumulative memory -- the sum of space used per step over the duration of a computation -- is a fine-grained measure of time-space complexity that was introduced to analyze cryptographic applications like password hashing. It is a more…

计算复杂性 · 计算机科学 2023-07-06 Paul Beame , Niels Kornerup

The use of variable selection methods is particularly appealing in statistical problems with functional data. The obvious general criterion for variable selection is to choose the `most representative' or `most relevant' variables. However,…

统计方法学 · 统计学 2016-08-09 José R. Berrendero , Antonio Cuevas , José L. Torrecilla

Randomized algorithms for low-rank approximation of quaternion matrices have gained increasing attention in recent years. However, existing methods overlook pass efficiency, the ability to limit the number of passes over the input…

数值分析 · 数学 2026-03-25 Salman Ahmadi-Asl , Malihe Nobakht Kooshkghazi , Valentin Leplat

We study algorithms using randomized value functions for exploration in reinforcement learning. This type of algorithms enjoys appealing empirical performance. We show that when we use 1) a single random seed in each episode, and 2) a…

机器学习 · 计算机科学 2022-10-14 Zhihan Xiong , Ruoqi Shen , Qiwen Cui , Maryam Fazel , Simon S. Du

We study the Weighted Min Cut problem in the Adaptive Massively Parallel Computation (AMPC) model. In 2019, Behnezhad et al. [3] introduced the AMPC model as an extension of the Massively Parallel Computation (MPC) model. In the past…

数据结构与算法 · 计算机科学 2022-05-30 MohammadTaghi Hajiaghayi , Marina Knittel , Jan Olkowski , Hamed Saleh

This paper gives tight logarithmic lower bounds on the solo step complexity of leader election in an asynchronous shared-memory model with single-writer multi-reader (SWMR) registers, for randomized obstruction-free algorithms. The approach…

分布式、并行与集群计算 · 计算机科学 2022-03-28 Dan Alistarh , Rati Gelashvili , Giorgi Nadiradze

Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by random rotations. The standard approach,…

信号处理 · 电气工程与系统科学 2026-01-09 Shay Kreymer , Amnon Balanov , Tamir Bendory

Explorable heap selection is the problem of selecting the $n$th smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite binary tree, and the complexity of the algorithm is measured…

数据结构与算法 · 计算机科学 2024-09-12 Sander Borst , Daniel Dadush , Sophie Huiberts , Danish Kashaev

In this paper, we show how different types of distributed mutual algorithms can be compared in terms of performance through simulations. A simulation-based approach is presented, together with an overview of the relevant evaluation metrics…

分布式、并行与集群计算 · 计算机科学 2022-11-22 Filip De Turck

Importance sampling has been reported to produce algorithms with excellent empirical performance in counting problems. However, the theoretical support for its efficiency in these applications has been very limited. In this paper, we…

概率论 · 数学 2009-08-10 Jose H. Blanchet

This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

数据结构与算法 · 计算机科学 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

Reed-Muller (RM) codes achieve the capacity of general binary-input memoryless symmetric channels and are conjectured to have a comparable performance to that of random codes in terms of scaling laws. However, such results are established…

We perform a rigorous runtime analysis for the Univariate Marginal Distribution Algorithm on the LeadingOnes function, a well-known benchmark function in the theory community of evolutionary computation with a high correlation between…

神经与进化计算 · 计算机科学 2019-04-22 Per Kristian Lehre , Phan Trung Hai Nguyen

We present and analyze a wait-free deterministic algorithm for solving the at-most-once problem: how m shared-memory fail-prone processes perform asynchronously n jobs at most once. Our algorithmic strategy provides for the first time…

分布式、并行与集群计算 · 计算机科学 2013-12-04 Sotirios Kentros , Aggelos Kiayias