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A simple scheme was proposed by Knuth to generate binary balanced codewords from any information word. However, this method is limited in the sense that its redundancy is twice that of the full sets of balanced codes. The gap between…

Information Theory · Computer Science 2019-07-31 Elie Ngomseu Mambou , Ebenezer Esenogho , Hendrik Ferreira

Carefully balancing load in distributed stream processing systems has a fundamental impact on execution latency and throughput. Load balancing is challenging because real-world workloads are skewed: some tuples in the stream are associated…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-28 Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Nicolas Kourtellis , Marco Serafini

An inherently parallel algorithm is proposed that efficiently performs selection: finding the K-th largest member of a set of N members. Selection is a common component of many more complex algorithms and therefore is a widely studied…

Data Structures and Algorithms · Computer Science 2007-06-15 Greg Sepesi

The Leftover Hash Lemma states that the output of a two-universal hash function applied to an input with sufficiently high entropy is almost uniformly random. In its standard formulation, the lemma refers to a notion of randomness that is…

Quantum Physics · Physics 2011-06-14 Marco Tomamichel , Christian Schaffner , Adam Smith , Renato Renner

The graphical balls-into-bins process is a generalization of the classical 2-choice balls-into-bins process, where the bins correspond to vertices of an arbitrary underlying graph $G$. At each time step an edge of $G$ is chosen uniformly at…

Discrete Mathematics · Computer Science 2021-11-23 Nikhil Bansal , Ohad Feldheim

The paradigm of many choices has influenced significantly the design of efficient data structures and, most notably, hash tables. Cuckoo hashing is a technique that extends this concept. There,we are given a table with $n$ locations, and we…

Data Structures and Algorithms · Computer Science 2009-10-28 Nikolaos Fountoulakis , Konstantinos Panagiotou

Binary codes are widely used to represent the data due to their small storage and efficient computation. However, there exists an ambiguity problem that lots of binary codes share the same Hamming distance to a query. To alleviate the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Zhenyu Weng , Yuesheng Zhu

Hashing produces compact representations for documents, to perform tasks like classification or retrieval based on these short codes. When hashing is supervised, the codes are trained using labels on the training data. This paper first…

Computer Vision and Pattern Recognition · Computer Science 2017-08-11 Alexandre Sablayrolles , Matthijs Douze , Hervé Jégou , Nicolas Usunier

We introduce linear probing hashing schemes that construct a hash table of size $n$, with constant load factor $\alpha$, on which the worst-case unsuccessful search time is asymptotically almost surely $O(\log \log n)$. The schemes employ…

Data Structures and Algorithms · Computer Science 2023-09-20 Ketan Dalal , Luc Devroye , Ebrahim Malalla

In this paper, we introduce a novel, non-recursive, maximal matching algorithm for double auctions, which aims to maximize the amount of commodities to be traded. It differs from the usual equilibrium matching, which clears a market at the…

Computer Science and Game Theory · Computer Science 2013-04-12 Jinzhong Niu , Simon Parsons

We consider the problem of aligning a pair of databases with jointly Gaussian features. We consider two algorithms, complete database alignment via MAP estimation among all possible database alignments, and partial alignment via a…

Machine Learning · Statistics 2019-09-04 Osman Emre Dai , Daniel Cullina , Negar Kiyavash

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. For most existing hashing methods, an image is first encoded as a vector of hand-engineering visual features, followed…

Computer Vision and Pattern Recognition · Computer Science 2019-08-17 Hanjiang Lai , Yan Pan , Ye Liu , Shuicheng Yan

Binomial distributions capture the probabilities of `heads' outcomes when a (biased) coin is tossed multiple times. The coin may be identified with a distribution on the two-element set {0,1}, where the 1 outcome corresponds to `head'. One…

Probability · Mathematics 2026-03-03 Bart Jacobs

Network embedding is a promising way of network representation, facilitating many signed social network processing and analysis tasks such as link prediction and node classification. Recently, feature hashing has been adopted in several…

Social and Information Networks · Computer Science 2019-08-19 Jia-Nan Guo , Xian-Ling Mao , Xiao-Jian Jiang , Ying-Xiang Sun , Wei Wei , He-Yan Huang

Let n be an even positive integer and F be the field \GF(2). A word in F^n is called balanced if its Hamming weight is n/2. A subset C \subseteq F^n$ is called a balancing set if for every word y \in F^n there is a word x \in C such that y…

Information Theory · Computer Science 2010-12-17 Arya Mazumdar , Ron M. Roth , Pascal O. Vontobel

Suppose that we are to place $m$ balls into $n$ bins sequentially using the $d$-choice paradigm: For each ball we are given a choice of $d$ bins, according to $d$ hash functions $h_1,\dots,h_d$ and we place the ball in the least loaded of…

Data Structures and Algorithms · Computer Science 2018-04-26 Anders Aamand , Mathias Bæk Tejs Knudsen , Mikkel Thorup

Due to the high storage and search efficiency, hashing has become prevalent for large-scale similarity search. Particularly, deep hashing methods have greatly improved the search performance under supervised scenarios. In contrast,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Erkun Yang , Tongliang Liu , Cheng Deng , Wei Liu , Dacheng Tao

Most existing approaches to hashing apply a single form of hash function, and an optimization process which is typically deeply coupled to this specific form. This tight coupling restricts the flexibility of the method to respond to the…

Machine Learning · Computer Science 2013-09-10 Guosheng Lin , Chunhua Shen , David Suter , Anton van den Hengel

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

Dynamic load balancing lies at the heart of distributed caching. Here, the goal is to assign objects (load) to servers (computing nodes) in a way that provides load balancing while at the same time dynamically adjusts to the addition or…

Data Structures and Algorithms · Computer Science 2020-06-17 John Chen , Ben Coleman , Anshumali Shrivastava