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As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

Hashing is a common technique used in data processing, with a strong impact on the time and resources spent on computation. Hashing also affects the applicability of theoretical results that often assume access to (unrealistic)…

Data Structures and Algorithms · Computer Science 2023-09-29 Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , Jakob Bæk Tejs Houen , Mikkel Thorup

An important function in modern routers and switches is to perform a lookup for a key. Hash-based methods, and in particular cuckoo hash tables, are popular for such lookup operations, but for large structures stored in off-chip memory,…

Data Structures and Algorithms · Computer Science 2017-09-15 Salvatore Pontarelli , Pedro Reviriego , Michael Mitzenmacher

In this paper, we analyze hashing from a worst-case perspective. To this end, we study a new property of hash families that is strongly related to d-perfect hashing, namely c-ideality. On the one hand, this notion generalizes the definition…

Data Structures and Algorithms · Computer Science 2023-02-01 Fabian Frei , David Wehner

With huge design spaces for unique chemical and mechanical properties, we remove a roadblock to computational design of {high-entropy alloys} using a metaheuristic hybrid Cuckoo Search (CS) for "on-the-fly" construction of Super-Cell Random…

Materials Science · Physics 2021-01-19 Rahul Singh , Aayush Sharma , Prashant Singh , Ganesh Balasubramanian , Duane D. Johnson

The stochastic block model is a classical cluster-exhibiting random graph model that has been widely studied in statistics, physics and computer science. In its simplest form, the model is a random graph with two equal-sized clusters, with…

Probability · Mathematics 2014-07-04 Varun Kanade , Elchanan Mossel , Tselil Schramm

Cuckoo hashing is a highly practical dynamic dictionary: it provides amortized constant insertion time, worst case constant deletion time and lookup time, and good memory utilization. However, with a noticeable probability during the…

Data Structures and Algorithms · Computer Science 2009-03-04 Yuriy Arbitman , Moni Naor , Gil Segev

We describe a new family of $k$-uniform hypergraphs with independent random edges. The hypergraphs have a high probability of being peelable, i.e. to admit no sub-hypergraph of minimum degree $2$, even when the edge density (number of edges…

Data Structures and Algorithms · Computer Science 2019-07-11 Martin Dietzfelbinger , Stefan Walzer

Two strings are considered to have parameterized matching when there exists a bijection of the parameterized alphabet onto itself such that it transforms one string to another. Parameterized matching has application in software duplication…

Data Structures and Algorithms · Computer Science 2024-12-03 Apurba Saha , Iftekhar Hakim Kaowsar , Mahdi Hasnat Siyam , M. Sohel Rahman

We address the problem of predicting the labeling of a graph in an online setting when the labeling is changing over time. We present an algorithm based on a specialist approach; we develop the machinery of cluster specialists which…

Machine Learning · Computer Science 2019-06-18 Mark Herbster , James Robinson

It is known that, for every $k\geq 2$, $C_{2k}$-freeness can be decided by a generic Monte-Carlo algorithm running in $n^{1-1/\Theta(k^2)}$ rounds in the CONGEST model. For $2\leq k\leq 5$, faster Monte-Carlo algorithms do exist, running in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Pierre Fraigniaud , Maël Luce , Ioan Todinca

Many application areas collect unstructured trajectory data. In subtrajectory clustering, one is interested to find patterns in this data using a hybrid combination of segmentation and clustering. We analyze two variants of this problem…

Computational Geometry · Computer Science 2025-04-25 Jacobus Conradi , Anne Driemel

Weight thresholding is a simple technique that aims at reducing the number of edges in weighted networks that are otherwise too dense for the application of standard graph theoretical methods. We show that the group structure of real…

Physics and Society · Physics 2018-10-17 Xiaoran Yan , Lucas G. S. Jeub , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

The storage capacity of a graph measures the maximum amount of information that can be stored across its vertices, such that the information at any vertex can be recovered from the information stored at its neighborhood. The study of this…

Data Structures and Algorithms · Computer Science 2025-04-17 Ishay Haviv

The scalability problem has been one of the most significant barriers limiting the adoption of blockchains. Blockchain sharding is a promising approach to this problem. However, the sharding mechanism introduces a significant number of…

Databases · Computer Science 2022-12-23 Yuanzhe Zhang , Shirui Pan , Jiangshan Yu

The problem of subgraph counting asks for the number of occurrences of a pattern graph $H$ as a subgraph of a host graph $G$ and is known to be computationally challenging: it is $\#W[1]$-hard even when $H$ is restricted to simple…

Data Structures and Algorithms · Computer Science 2026-03-27 Christine Awofeso , Patrick Greaves , Oded Lachish , Felix Reidl

Data shuffling between distributed cluster of nodes is one of the critical steps in implementing large-scale learning algorithms. Randomly shuffling the data-set among a cluster of workers allows different nodes to obtain fresh data…

Information Theory · Computer Science 2018-01-08 Mohamed A. Attia , Ravi Tandon

Distributed systems store data objects redundantly to balance the data access load over multiple nodes. Load balancing performance depends mainly on 1) the level of storage redundancy and 2) the assignment of data objects to storage nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-19 Mehmet Aktas , Emina Soljanin

Intervals have been generated in many applications (e.g., temporal databases), and they are often associated with weights, such as prices. This paper addresses the problem of processing top-k weighted stabbing queries on interval data.…

Databases · Computer Science 2024-05-24 Daichi Amagata , Junya Yamada , Yuchen Ji , Takahiro Hara

flip is an extremely simple and maximally local classical decoder which has been used to great effect in certain classes of classical codes. When applied to quantum codes there exist constant-weight errors (such as half of a stabiliser)…

Quantum Physics · Physics 2023-08-30 T. R. Scruby , K. Nemoto
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