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The \emph{generalized sorting problem} is a restricted version of standard comparison sorting where we wish to sort $n$ elements but only a subset of pairs are allowed to be compared. Formally, there is some known graph $G = (V, E)$ on the…

数据结构与算法 · 计算机科学 2021-11-16 William Kuszmaul , Shyam Narayanan

Consider the triplet $(E, \mathcal{P}, \pi)$, where $E$ is a finite ground set, $\mathcal{P} \subseteq 2^E$ is a collection of subsets of $E$ and $\pi : \mathcal{P} \rightarrow [0,1]$ is a requirement function. Given a vector of marginals…

离散数学 · 计算机科学 2023-11-10 Jannik Matuschke

Withdrawn by the author due to irreparable errors. We present a quantum algorithm that in the black-box model performs a search in an ordered list of N elements. Using 3/4 log N + O(1) queries, it achieves a success probability of at least…

量子物理 · 物理学 2007-05-23 Hein Roehrig

We study the problem of estimating the \emph{value} of the largest mean among K distributions via samples from them (rather than estimating \emph{which} distribution has the largest mean), which arises from various machine learning tasks…

机器学习 · 统计学 2025-04-30 Tuan Ngo Nguyen , Jay Barrett , Kwang-Sung Jun

Distributed Hash Tables (DHTs) are pivotal in numerous high-impact key-value applications built on distributed networked systems, offering a decentralized architecture that avoids single points of failure and improves data availability.…

网络与互联网体系结构 · 计算机科学 2025-08-21 Shengze Wang , Yi Liu , Xiaoxue Zhang , Liting Hu , Chen Qian

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

数据结构与算法 · 计算机科学 2011-11-16 Ely Porat , Bar Shalem

Let $ H $ be a multi-digraph on $ h $ vertices with $ q $ arcs. An \textbf{$H$-subdivision} in a digraph $D$ is a subdigraph obtained by replacing every arc $uv$ of $H$ with a path from $u$ to $v$ in $D$ such that these paths are pairwise…

组合数学 · 数学 2025-12-18 Jia Zhou , Jin Yan

Consider a database most of whose entries are marked but the precise fraction of marked entries is not known. What is known is that the fraction of marked entries is 1-X, where X is a random variable that is uniformly distributed in the…

量子物理 · 物理学 2007-05-23 Lov K. Grover

Quantization-aware training (QAT) receives extensive popularity as it well retains the performance of quantized networks. In QAT, the contemporary experience is that all quantized weights are updated for an entire training process. In this…

计算机视觉与模式识别 · 计算机科学 2023-07-27 Yunshan Zhong , Gongrui Nan , Yuxin Zhang , Fei Chao , Rongrong Ji

Distributed Hash Tables (DHTs) have been used in several applications, but most DHTs have opted to solve lookups with multiple hops, to minimize bandwidth costs while sacrificing lookup latency. This paper presents D1HT, an original DHT…

分布式、并行与集群计算 · 计算机科学 2014-09-01 Luiz Monnerat , Claudio L. Amorim

We investigate the power of randomized algorithms for the maximum cardinality matching (MCM) and the maximum weight matching (MWM) problems in the online preemptive model. In this model, the edges of a graph are revealed one by one and the…

数据结构与算法 · 计算机科学 2015-07-03 Ashish Chiplunkar , Sumedh Tirodkar , Sundar Vishwanathan

Given a pattern of length $m$ and a text of length $n$, the goal in $k$-mismatch pattern matching is to compute, for every $m$-substring of the text, the exact Hamming distance to the pattern or report that it exceeds $k$. This can be…

数据结构与算法 · 计算机科学 2017-04-06 Paweł Gawrychowski , Przemysław Uznański

We study the discrete quantum walk on a regular graph $X$ that assigns negative identity coins to marked vertices $S$ and Grover coins to the unmarked ones. We find combinatorial bases for the eigenspaces of the transtion matrix, and derive…

组合数学 · 数学 2024-12-19 Amulya Mohan , Hanmeng Zhan

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

数据结构与算法 · 计算机科学 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

Graph games provide the foundation for modeling and synthesis of reactive processes. Such games are played over graphs where the vertices are controlled by two adversarial players. We consider graph games where the objective of the first…

计算机科学与博弈论 · 计算机科学 2017-06-21 Krishnendu Chatterjee , Monika Henzinger , Alexander Svozil

In the study of large scale stochastic networks with resource management, differential equations and mean-field limits are two key techniques. Recent research shows that the expected fraction vector (that is, the tailed probability vector)…

概率论 · 数学 2013-05-27 Quan-Lin Li

Many high-stakes AI deployments proceed only if every stakeholder deems the system acceptable relative to their own minimum standard. With randomization over a finite menu of options, this becomes a feasibility question: does there exist a…

计算机科学与博弈论 · 计算机科学 2026-04-21 Davin Choo , Paul W. Goldberg , Nicholas Teh

Consistent hashing is fundamental to distributed systems, but ring-based schemes can exhibit high peak-to-average load ratios unless they use many virtual nodes, while multi-probe methods improve balance at the cost of scattered memory…

分布式、并行与集群计算 · 计算机科学 2025-12-30 Yongjie Guan

By prior work, it is known that any distributed graph algorithm that finds a maximal matching requires $\Omega(\log^* n)$ communication rounds, while it is possible to find a maximal fractional matching in $O(1)$ rounds in bounded-degree…

数据结构与算法 · 计算机科学 2023-07-18 Sameep Dahal , Jukka Suomela

Given some of the recent advances in Distributed Hash Table (DHT) based Peer-To-Peer (P2P) systems we ask the following questions: Are there applications where unstructured queries are still necessary (i.e., the underlying queries do not…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Wolfgang Mueller , P. Oscar Boykin , Nima Sarshar , Vwani P. Roychowdhury