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We present CREST (Compact Retrieval-Based Speculative Decoding), a redesign of REST that allows it to be effectively "compacted". REST is a drafting technique for speculative decoding based on retrieving exact n-gram matches of the most…

Computation and Language · Computer Science 2024-08-12 Sophia Ho , Jinsol Park , Patrick Wang

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

Semisort is a fundamental algorithmic primitive widely used in the design and analysis of efficient parallel algorithms. It takes input as an array of records and a function extracting a \emph{key} per record, and reorders them so that…

Data Structures and Algorithms · Computer Science 2023-04-21 Xiaojun Dong , Yunshu Wu , Zhongqi Wang , Laxman Dhulipala , Yan Gu , Yihan Sun

One of the basic tasks in bioinformatics is localizing a short subsequence $S$, read while sequencing, in a long reference sequence $R$, like the human geneome. A natural rapid approach would be finding a hash value for $S$ and compare it…

Data Structures and Algorithms · Computer Science 2016-02-19 Jarek Duda

Given two input graphs, finding the largest subgraph that occurs in both, i.e., finding the maximum common subgraph, is a fundamental operator for evaluating the similarity between two graphs in graph data analysis. Existing works for…

Databases · Computer Science 2025-02-18 Kaiqiang Yu , Kaixin Wang , Cheng Long , Laks Lakshmanan , Reynold Cheng

We present fast strongly universal string hashing families: they can process data at a rate of 0.2 CPU cycle per byte. Maybe surprisingly, we find that these families---though they require a large buffer of random numbers---are often faster…

Databases · Computer Science 2018-09-24 Owen Kaser , Daniel Lemire

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Chazelle [JACM00] introduced the soft heap as a building block for efficient minimum spanning tree algorithms, and recently Kaplan et al. [SOSA2019] showed how soft heaps can be applied to achieve simpler algorithms for various selection…

Data Structures and Algorithms · Computer Science 2020-08-13 Gerth Stølting Brodal

Cryptographic hash functions for calculating the message digest of a message has been in practical use as an effective measure to maintain message integrity since a few decades. This message digest is unique, irreversible and avoids all…

Cryptography and Security · Computer Science 2010-03-31 Rakesh Mohanty , Niharjyoti Sarangi , Sukant kumar Bishi

We study distributed learning with the least squares regularization scheme in a reproducing kernel Hilbert space (RKHS). By a divide-and-conquer approach, the algorithm partitions a data set into disjoint data subsets, applies the least…

Machine Learning · Computer Science 2017-03-14 Shao-Bo Lin , Xin Guo , Ding-Xuan Zhou

In a distributed storage system based on erasure coding, an important problem is the \emph{repair problem}: If a node storing a coded piece fails, in order to maintain the same level of reliability, we need to create a new encoded piece and…

Information Theory · Computer Science 2016-11-17 Yunnan Wu

Consistent hashing (CH) has been pivotal as a data router and load balancer in diverse fields, including distributed databases, cloud infrastructure, and peer-to-peer networks. However, existing CH algorithms often fall short in…

Data Structures and Algorithms · Computer Science 2023-11-21 Chao Dong , Fang Wang , Dan Feng

Given a relational database, a key is a set of attributes such that a value assignment to this set uniquely determines the values of all other attributes. The database uniquely defines a pure Horn function $h$, representing the functional…

Discrete Mathematics · Computer Science 2020-02-18 Kristóf Bérczi , Endre Boros , Ondřej Čepek , Petr Kučera , Kazuhisa Makino

Similarity searches are a critical task in data mining. As data sets grow larger, exact nearest neighbor searches quickly become unfeasible, leading to the adoption of approximate nearest neighbor (ANN) searches. ANN has been studied for…

Information Retrieval · Computer Science 2025-11-21 Alima Subedi , Sankalpa Pokharel , Satish Puri

MDS array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with $r$ redundancy nodes can correct any $r$ node erasures by accessing all the remaining information…

Information Theory · Computer Science 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Clark Hash is a small method for storing neural embeddings in less space. It normalizes each database vector, applies a deterministic sparse signed Johnson-Lindenstrauss projection, clips the result, and stores a fixed-width…

Artificial Intelligence · Computer Science 2026-05-28 Stanislav Kirdey , Clark Labs Inc

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…

Data Structures and Algorithms · Computer Science 2007-05-23 William F. Gilreath

Minwise hashing has become a standard tool to calculate signatures which allow direct estimation of Jaccard similarities. While very efficient algorithms already exist for the unweighted case, the calculation of signatures for weighted sets…

Data Structures and Algorithms · Computer Science 2018-07-24 Otmar Ertl

A typical image retrieval pipeline starts with the comparison of global descriptors from a large database to find a short list of candidate matches. A good image descriptor is key to the retrieval pipeline and should reconcile two…

Information Retrieval · Computer Science 2015-11-11 Jie Lin , Olivier Morère , Julie Petta , Vijay Chandrasekhar , Antoine Veillard

For each partition of a data set into a given number of parts there is a partition such that every part is as much as possible a good model (an "algorithmic sufficient statistic") for the data in that part. Since this can be done for every…

Machine Learning · Computer Science 2022-10-17 Andrew R. Cohen , Paul M. B. Vitányi