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Ultra-large chemical libraries are reaching 10s to 100s of billions of molecules. A challenge for these libraries is to efficiently check if a proposed molecule is present. Here we propose and study Bloom filters for testing if a molecule…

Chemical Physics · Physics 2023-04-12 Jorge Medina , Andrew D White

Clustering has become an increasingly important task in analysing huge amounts of data. Traditional applications require that all data has to be located at the site where it is scrutinized. Nowadays, large amounts of heterogeneous, complex…

Databases · Computer Science 2014-09-24 Eshref Januzaj , Hans-Peter Kriegel , Martin Pfeifle

Multiple Set Membership Testing (MSMT) is a well-known problem in a variety of search and query applications. Given a dataset of K different sets and a query q, it aims to find all of the sets containing the query. Trivially, an MSMT…

Data Structures and Algorithms · Computer Science 2020-07-21 Gaurav Gupta , Minghao Yan , Benjamin Coleman , R. A. Leo Elworth , Tharun Medini , Todd Treangen , Anshumali Shrivastava

Bloom Filters are a space-efficient data structure used for the testing of membership in a set that errs only in the False Positive direction. However, the standard analysis that measures this False Positive rate provides a form of worst…

Data Structures and Algorithms · Computer Science 2024-02-06 Kahlil Dozier , Loqman Salamatian , Dan Rubenstein

Retrieval-augmented Large Language Models (LLMs) offer substantial benefits in enhancing performance across knowledge-intensive scenarios. However, these methods often face challenges with complex inputs and encounter difficulties due to…

Computation and Language · Computer Science 2024-10-17 Haoyu Wang , Ruirui Li , Haoming Jiang , Jinjin Tian , Zhengyang Wang , Chen Luo , Xianfeng Tang , Monica Cheng , Tuo Zhao , Jing Gao

High-quality data is crucial for the pre-training performance of large language models. Unfortunately, existing quality filtering methods rely on a known high-quality dataset as reference, which can introduce potential bias and compromise…

Computation and Language · Computer Science 2024-08-16 Ruihang Li , Yixuan Wei , Miaosen Zhang , Nenghai Yu , Han Hu , Houwen Peng

As an emerging technology, blockchain has achieved great success in numerous application scenarios, from intelligent healthcare to smart cities. However, a long-standing bottleneck hindering its further development is the massive resource…

Cryptography and Security · Computer Science 2020-04-21 Yinqiu Liu , Kai Qian , Jianli Chen , Kun Wang , Lei He

Contemporary large language model (LLM) training pipelines require the assembly of internet-scale databases full of text data from a variety of sources (e.g., web, academic, and publishers). Preprocessing these datasets via deduplication --…

A quotient filter is a cache efficient AMQ data structure. Depending on the fill degree of the filter most insertions and queries only need to access one or two consecutive cache lines. This makes quotient filters fast compared to the more…

Data Structures and Algorithms · Computer Science 2019-11-20 Tobias Maier , Peter Sanders , Robert Williger

Process Mining is a branch of Data Science that aims to extract process-related information from event data contained in information systems, that is steadily increasing in amount. Many algorithms, and a general-purpose open source…

Databases · Computer Science 2019-08-01 Alessandro Berti

De Brujin graphs are widely used in bioinformatics for processing next-generation sequencing data. Due to a very large size of NGS datasets, it is essential to represent de Bruijn graphs compactly, and several approaches to this problem…

Data Structures and Algorithms · Computer Science 2013-05-22 Kamil Salikhov , Gustavo Sacomoto , Gregory Kucherov

Recommendation algorithms that incorporate techniques from deep learning are becoming increasingly popular. Due to the structure of the data coming from recommendation domains (i.e., one-hot-encoded vectors of item preferences), these…

Machine Learning · Computer Science 2017-06-14 Joan Serrà , Alexandros Karatzoglou

In this paper, we present an implementation of a cuckoo filter for membership testing, optimized for distributed data stores operating in high workloads. In large databases, querying becomes inefficient using traditional search methods. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Aman Khalid

Recent work has suggested enhancing Bloom filters by using a pre-filter, based on applying machine learning to model the data set the Bloom filter is meant to represent. Here we model such learned Bloom filters, clarifying what guarantees…

Data Structures and Algorithms · Computer Science 2018-02-06 Michael Mitzenmacher

Bytewise approximate matching algorithms have in recent years shown significant promise in de- tecting files that are similar at the byte level. This is very useful for digital forensic investigators, who are regularly faced with the…

Cryptography and Security · Computer Science 2022-11-15 David Lillis , Frank Breitinger , Mark Scanlon

Computational complexity of the brute-force implementation of the bilateral filter (BF) depends on its filter kernel size. To achieve the constant-time BF whose complexity is irrelevant to the kernel size, many techniques have been…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Longquan Dai , Mengke Yuan , Xiaopeng Zhang

In the past decades, the rapid growth of computer and database technologies has led to the rapid growth of large-scale datasets. On the other hand, data mining applications with high dimensional datasets that require high speed and accuracy…

Machine Learning · Computer Science 2020-08-11 Mehrdad Rostami , Kamal Berahmand , Saman Forouzandeh

We propose and study a novel efficient algorithm for clustering and classification tasks based on the famous MBO scheme. On the one hand, inspired by Jacobs et al. [J. Comp. Phys. 2018], we introduce constraints on the size of clusters…

Analysis of PDEs · Mathematics 2025-03-03 Fabius Krämer , Tim Laux

Invertible Bloom Filter (IBF) is a data structure, which employs a small set of hash functions. An IBF allows for an efficient insertion and, with high probability, for an efficient extraction of the data. However, the success probability…

Information Theory · Computer Science 2020-08-04 Ivo Kubjas , Vitaly Skachek

Gradient-based data influence approximation has been leveraged to select useful data samples in the supervised fine-tuning of large language models. However, the computation of gradients throughout the fine-tuning process requires too many…

Computation and Language · Computer Science 2025-06-13 Zige Wang , Qi Zhu , Fei Mi , Minghui Xu , Ruochun Jin , Wenjing Yang