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This report investigates three fundamental search algorithms: Linear Search, Binary Search, and Two Pointer Search. Linear Search checks each element sequentially, Binary Search divides the search space in half, and Two Pointer Search uses…

数据结构与算法 · 计算机科学 2024-06-25 Nazma Akter Zinnia , Eisuke Hanada

Sorting and hashing are two completely different concepts in computer science, and appear mutually exclusive to one another. Hashing is a search method using the data as a key to map to the location within memory, and is used for rapid…

数据结构与算法 · 计算机科学 2007-05-23 William F. Gilreath

Over the past two decades, fair resource allocation problems have received considerable attention in a variety of application areas. However, little progress has been made in the design of distributed algorithms with convergence guarantees…

分布式、并行与集群计算 · 计算机科学 2016-02-17 Jelena Marasevic , Cliff Stein , Gil Zussman

We study robust and efficient distributed algorithms for searching, storing, and maintaining data in dynamic Peer-to-Peer (P2P) networks. P2P networks are highly dynamic networks that experience heavy node churn (i.e., nodes join and leave…

分布式、并行与集群计算 · 计算机科学 2013-05-07 John Augustine , Anisur Rahaman Molla , Ehab Morsy , Gopal Pandurangan , Peter Robinson , Eli Upfal

Merging two sorted arrays is a prominent building block for sorting and other functions. Its efficient parallelization requires balancing the load among compute cores, minimizing the extra work brought about by parallelization, and…

分布式、并行与集群计算 · 计算机科学 2014-06-23 Oded Green , Saher Odeh , Yitzhak Birk

Data structures for efficient sampling from a set of weighted items are an important building block of many applications. However, few parallel solutions are known. We close many of these gaps both for shared-memory and distributed-memory…

数据结构与算法 · 计算机科学 2021-07-20 Lorenz Hübschle-Schneider , Peter Sanders

Production vector search systems often fan out each query across parallel lanes (threads, replicas, or shards) to meet latency service-level objectives (SLOs). In practice, these lanes rediscover the same candidates, so extra compute does…

信息检索 · 计算机科学 2025-11-07 Carl Kugblenu , Petri Vuorimaa

We propose a novel application of coded computing to the problem of the nearest neighbor estimation using MatDot Codes [Fahim. et.al. 2017], that are known to be optimal for matrix multiplication in terms of recovery threshold under storage…

The binary-forking model is a parallel computation model, formally defined by Blelloch et al. very recently, in which a thread can fork a concurrent child thread, recursively and asynchronously. The model incurs a cost of $\Theta(\log n)$…

数据结构与算法 · 计算机科学 2020-09-04 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Mohammad Mahdi Javanmard

We revisit the linear search problem where a robot, initially placed at the origin on an infinite line, tries to locate a stationary target placed at an unknown position on the line. Unlike previous studies, in which the robot travels along…

数据结构与算法 · 计算机科学 2017-01-12 Jurek Czyzowicz , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Sunil Shende

We study a new search problem on the plane involving a robot and an immobile treasure, initially placed at distance $1$ from each other. The length $\beta$ of an arc (a fence) within the perimeter of the corresponding circle, as well as the…

计算几何 · 计算机科学 2016-06-28 Konstantinos Georgiou , Evangelos Kranakis , Alexandra Steau

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

数据结构与算法 · 计算机科学 2024-10-30 Willow Ahrens

In this work we show that randomized (block) coordinate descent methods can be accelerated by parallelization when applied to the problem of minimizing the sum of a partially separable smooth convex function and a simple separable convex…

最优化与控制 · 数学 2013-11-27 Peter Richtárik , Martin Takáč

Many production-grade algorithms benefit from combining an asymptotically efficient algorithm for solving big problem instances, by splitting them into smaller ones, and an asymptotically inefficient algorithm with a very small…

数据结构与算法 · 计算机科学 2017-04-14 Margarita Markina , Maxim Buzdalov

Inspired by the diverse set of technologies used in underground object detection and imaging, we introduce a novel multimodal linear search problem whereby a single searcher starts at the origin and must find a target that can only be…

离散数学 · 计算机科学 2025-03-03 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales Ponce

Grover's algorithm provides a quadratic speedup over classical algorithms for searching unstructured databases and is known to be strictly optimal in oracle query complexity, with tight bounds on its success probability. Although the…

量子物理 · 物理学 2026-03-03 Yan-Bo Jiang , Xiao-Hui Wang , Kun Zhang , Vladimir Korepin

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

数据结构与算法 · 计算机科学 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

In this paper, we consider a stochastic distributed nonconvex optimization problem with the cost function being distributed over $n$ agents having access only to zeroth-order (ZO) information of the cost. This problem has various machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Karl H. Johansson

Network coordination - synchronising traffic signals, scheduling trains, assigning communication slots requires minimising pairwise costs across coupled systems. These problems are NP-hard yet share a common Fourier-sparse structure…

量子物理 · 物理学 2026-03-10 Vinayak Dixit

Using (a,b)-trees as an example, we show how to perform a parallel split with logarithmic latency and parallel join, bulk updates, intersection, union (or merge), and (symmetric) set difference with logarithmic latency and with information…

数据结构与算法 · 计算机科学 2016-05-12 Yaroslav Akhremtsev , Peter Sanders