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In 1998, Brassard, Hoyer, Mosca, and Tapp (BHMT) gave a quantum algorithm for approximate counting. Given a list of $N$ items, $K$ of them marked, their algorithm estimates $K$ to within relative error $\varepsilon$ by making only $O\left(…

Quantum Physics · Physics 2021-11-05 Scott Aaronson , Patrick Rall

Solving systems of linear equations is a key subroutine in many quantum algorithms. In the last 15 years, many quantum linear solvers (QLS) have been developed, competing to achieve the best asymptotic worst-case complexity. Most QLS assume…

Sequential pattern mining (SPM) has excellent prospects and application spaces and has been widely used in different fields. The non-overlapping SPM, as one of the data mining techniques, has been used to discover patterns that have…

Databases · Computer Science 2023-04-25 Zefeng Chen , Wensheng Gan , Gengsen Huang , Yan Li , Zhenlian Qi

Sequential quadratic programming (SQP) methods have been remarkably successful in solving a broad range of nonlinear optimization problems. These methods iteratively construct and solve quadratic programming (QP) subproblems to compute…

Optimization and Control · Mathematics 2025-12-08 Anugrah Jo Joshy , John T. Hwang

High-utility sequential pattern mining (HUSPM) has emerged as an important topic due to its wide application and considerable popularity. However, due to the combinatorial explosion of the search space when the HUSPM problem encounters a…

Databases · Computer Science 2023-01-02 Chunkai Zhang , Yuting Yang , Zilin Du , Wensheng Gan , Philip S. Yu

The need for countering Advanced Persistent Threat (APT) attacks has led to the solutions that ubiquitously monitor system activities in each host, and perform timely attack investigation over the monitoring data for analyzing attack…

Cryptography and Security · Computer Science 2018-06-08 Peng Gao , Xusheng Xiao , Zhichun Li , Kangkook Jee , Fengyuan Xu , Sanjeev R. Kulkarni , Prateek Mittal

We propose a versatile approach to lightweight, approximate query processing by creating compact but tunably precise representations of larger quantities of original tuples, coined bubbles. Instead of working with tables of tuples, the…

Databases · Computer Science 2022-12-21 Damjan Gjurovski , Sebastian Michel

Large language models (LLMs) have achieved impressive success, but their high memory requirements present challenges for long-context token generation. In this paper we study the streaming complexity of attention approximation, a key…

Machine Learning · Computer Science 2026-03-25 Ekaterina Kochetkova , Kshiteej Sheth , Insu Han , Amir Zandieh , Michael Kapralov

Network quantization allows inference to be conducted using low-precision arithmetic for improved inference efficiency of deep neural networks on edge devices. However, designing aggressively low-bit (e.g., 2-bit) quantization schemes on…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Peng Chen , Jing Liu , Bohan Zhuang , Mingkui Tan , Chunhua Shen

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

Minimizing data-to-analysis time while enabling real-time interaction and efficient analytical computations on large datasets are fundamental objectives of contemporary exploratory systems. Although some of the recent adaptive indexing and…

Databases · Computer Science 2025-05-27 Stavros Maroulis , Nikos Bikakis , Vassilis Stamatopoulos , George Papastefanatos

To counter societal and economic problems caused by data silos on the Web, efforts such as Solid strive to reclaim private data by storing it in permissioned documents over a large number of personal vaults across the Web. Building…

Databases · Computer Science 2023-02-15 Ruben Taelman , Ruben Verborgh

High-utility sequential pattern mining is an emerging topic in the field of Knowledge Discovery in Databases. It consists of discovering subsequences having a high utility (importance) in sequences, referred to as high-utility sequential…

Range Minimum Query (RMQ) is an important building brick of many compressed data structures and string matching algorithms. Although this problem is essentially solved in theory, with sophisticated data structures allowing for constant time…

Data Structures and Algorithms · Computer Science 2017-11-29 Tomasz Kowalski , Szymon Grabowski

In a modern DBMS, working memory is frequently the limiting factor when processing in-memory analytic query operations such as joins, sorting, and aggregation. Existing resource estimation approaches for a DBMS estimate the resource…

Cache fusion accelerates generation process of LLMs equipped with RAG through KV caching and selective token recomputation, thereby reducing computational costs and improving efficiency. However, existing methods primarily rely on local…

Databases · Computer Science 2026-04-13 Jianxin Yan , Zeheng Qian , Wangze Ni , Zhitao Shen , Zhiping Wang , Haoyang Li , Jia Zhu , Lei Chen , Kui Ren

Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

Data Structures and Algorithms · Computer Science 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

Modern data-driven applications require that databases support fast cross-model analytical queries. Achieving fast analytical queries in a database system is challenging since they are usually scan-intensive (i.e., they need to intensively…

Databases · Computer Science 2023-09-22 Jianfeng Huang , Dongjing Miao , Xin Liu

The computational difficulties of large language model (LLM) inference remain a significant obstacle to their widespread deployment. The need for many applications to support long input sequences and process them in large batches typically…

Machine Learning · Computer Science 2024-09-05 Luka Ribar , Ivan Chelombiev , Luke Hudlass-Galley , Charlie Blake , Carlo Luschi , Douglas Orr

The capacity of Large Language Models (LLMs) to comprehend and reason over long contexts is pivotal for advancements in diverse fields. Yet, they still stuggle with capturing long-distance dependencies within sequences to deeply understand…

Machine Learning · Computer Science 2024-08-23 Jingyao Li , Han Shi , Xin Jiang , Zhenguo Li , Hong Xu , Jiaya Jia