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A lattice is a partially-ordered set in which every pair of elements has a unique meet (greatest lower bound) and join (least upper bound). We present new data structures for lattices that are simple, efficient, and nearly optimal in terms…

Data Structures and Algorithms · Computer Science 2020-06-17 J. Ian Munro , Bryce Sandlund , Corwin Sinnamon

Lattice data structures are space efficient and cache-suitable data structures. The basic searching, insertion, and deletion operations are of time complexity $O(\sqrt{N})$. We give a jump searching algorithm of time complexity…

Data Structures and Algorithms · Computer Science 2016-05-16 Mohammad Obiedat

The purpose of this article is to propose and investigate a partial order structure weaker than the lattice structure and which have nice properties regarding closure operators. We extend accordingly closed pattern mining and formal concept…

Logic in Computer Science · Computer Science 2021-02-25 Henry Soldano

In this paper, we i) analyze and classify real-world failures of Kubernetes (the most popular container orchestration system), ii) develop a framework to perform a fault/error injection campaign targeting the data store preserving the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-17 Marco Barletta , Marcello Cinque , Catello Di Martino , Zbigniew T. Kalbarczyk , Ravishankar K. Iyer

A lattice is a set of all the integer linear combinations of certain linearly independent vectors. One of the most important concepts on lattice is the successive minima which is of vital importance from both theoretical and practical…

Information Theory · Computer Science 2018-05-16 Jinming Wen

We present a network architecture for processing point clouds that directly operates on a collection of points represented as a sparse set of samples in a high-dimensional lattice. Naively applying convolutions on this lattice scales…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Hang Su , Varun Jampani , Deqing Sun , Subhransu Maji , Evangelos Kalogerakis , Ming-Hsuan Yang , Jan Kautz

Numerous studies have underscored the significant privacy risks associated with various leakage patterns in encrypted data stores. While many solutions have been proposed to mitigate these leakages, they either (1) incur substantial…

Cryptography and Security · Computer Science 2024-08-27 Leqian Zheng , Lei Xu , Cong Wang , Sheng Wang , Yuke Hu , Zhan Qin , Feifei Li , Kui Ren

This paper analyzes various distributed storage systems that use data fragmentation and dispersal as a way of protection.Existing solutions have been organized into two categories: bitwise and structurewise. Systems from the bitwise…

Cryptography and Security · Computer Science 2017-06-20 Katarzyna Kapusta , Gerard Memmi

This paper details a data structure for managing and scheduling requests for computing resources of clusters and virtualised infrastructure such as private clouds. The data structure uses a red-black tree whose nodes represent the start…

Data Structures and Algorithms · Computer Science 2015-04-06 Marcos Dias de Assuncao

In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

Computational Geometry · Computer Science 2015-01-15 K. S. Easwarakumar , T. Hema

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

Machine Learning · Computer Science 2022-08-30 Miao Cheng , Xinge You

The Li-Chao tree (LICT) was first introduced in lecture as an efficient data structure for dynamic lower envelope maintenance. In the years since, it has achieved widespread adoption within the competitive programming community, yet no…

Data Structures and Algorithms · Computer Science 2026-03-10 Chao Li

At CCS 2015 Naveed et al. presented first attacks on efficiently searchable encryption, such as deterministic and order-preserving encryption. These plaintext guessing attacks have been further improved in subsequent work, e.g. by Grubbs et…

Cryptography and Security · Computer Science 2017-09-28 Florian Kerschbaum , Anselme Tueno

Measurement is a fundamental building block of numerous scientific models and their creation. This is in particular true for data driven science. Due to the high complexity and size of modern data sets, the necessity for the development of…

Artificial Intelligence · Computer Science 2022-04-26 Tom Hanika , Johannes Hirth

As data volumes continue to grow rapidly, traditional search algorithms, like the red-black tree and B+ Tree, face increasing challenges in performance, especially in big data scenarios with intensive storage access. This paper presents the…

Databases · Computer Science 2025-04-02 Songpeng Liu

Recent query explanation systems help users understand anomalies in aggregation results by proposing predicates that describe input records that, if deleted, would resolve the anomalies. However, it can be difficult for users to understand…

Databases · Computer Science 2021-03-15 Zezhou Huang , Eugene Wu

Transient faults corrupt the content and organization of data structures. A recovery technique dealing with such faults is stabilization, which guarantees, following some number of operations on the data structure, that content of the data…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-09-25 Ted Herman , Toshimitsu Masuzawa

Subset-sum problems belong to the NP class and play an important role in both complexity theory and knapsack-based cryptosystems, which have been proved in the literature to become hardest when the so-called density approaches one. Lattice…

Systems and Control · Electrical Eng. & Systems 2022-02-21 Bojun Lu , Duan Li , Rujun Jiang

Lattice structures have been widely used in various applications of additive manufacturing due to its superior physical properties. If modeled by triangular meshes, a lattice structure with huge number of struts would consume massive…

Computational Geometry · Computer Science 2021-02-02 Shengjun Liu , Tao Liu , Qiang Zou , Weiming Wang , Eugeni L. Doubrovski , Charlie C. L. Wang

Analysis of entire programs as a single unit, or whole-program analysis, involves propagation of large amounts of information through the control flow of the program. This is especially true for pointer analysis, where, unless significant…

Data Structures and Algorithms · Computer Science 2025-10-28 Anamitra Ghorui , Uday P. Khedker
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