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Related papers: Oblivious Sorting and Queues

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An oblivious data structure is a data structure where the memory access patterns reveals no information about the operations performed on it. Such data structures were introduced by Wang et al. [ACM SIGSAC'14] and are intended for…

Data Structures and Algorithms · Computer Science 2018-10-26 Riko Jacob , Kasper Green Larsen , Jesper Buus Nielsen

Many statistical problems and applications require repeated computation of order statistics, such as the median, but most statistical and programming environments do not offer in their main distribution linear selection algorithms. We…

Methodology · Statistics 2023-02-14 Ivano Azzini , Domenico Perrotta , Francesca Torti

We analyse some QR decomposition algorithms, and show that the I/O complexity of the tile based algorithm is asymptotically the same as that of matrix multiplication. This algorithm, we show, performs the best when the tile size is chosen…

Data Structures and Algorithms · Computer Science 2010-06-08 Sraban Kumar Mohanty

We consider a strategic M/M/1 queueing model under a first-come-first-served regime, where customers are split into two classes and class $A$ has priority over class $B$. Customers can decide whether to join the queue or balk, and, in case…

Computer Science and Game Theory · Computer Science 2025-02-11 Maurizio D'Andrea , Marco Scarsini

This paper introduces a special family of randomized algorithms for Max DICUT that we call oblivious algorithms. Let the bias of a vertex be the ratio between the total weight of its outgoing edges and the total weight of all its edges. An…

Data Structures and Algorithms · Computer Science 2010-10-05 Uriel Feige , Shlomo Jozeph

Trusted processors provide a way to perform joint computations while preserving data privacy. To overcome the performance degradation caused by data-oblivious algorithms to prevent information leakage, we explore the benefits of oblivious…

Cryptography and Security · Computer Science 2026-01-01 Jiping Yu , Xiaowei Zhu , Kun Chen , Guanyu Feng , Yunyi Chen , Xiaoyu Fan , Wenguang Chen

We study oblivious storage (OS), a natural way to model privacy-preserving data outsourcing where a client, Alice, stores sensitive data at an honest-but-curious server, Bob. We show that Alice can hide both the content of her data and the…

Cryptography and Security · Computer Science 2011-10-11 Michael T. Goodrich , Michael Mitzenmacher , Olga Ohrimenko , Roberto Tamassia

We present a cache-oblivious adaptation of matrix multiplication to be incorporated in the parallel TU decomposition for rectangular matrices over finite fields, based on the Morton-hybrid space-filling curve representation. To realise…

Numerical Analysis · Computer Science 2017-05-16 Fatima K. Abu Salem , Mira Al Arab

Modern comparison sorts like quicksort suffer from performance inconsistencies due to suboptimal pivot selection, leading to $(O(N^2))$ worst-case complexity, while in-place merge sort variants face challenges with data movement overhead.…

Data Structures and Algorithms · Computer Science 2026-01-06 Jia Xu Wei

As the sheer amount of computer generated data continues to grow exponentially, new bottlenecks are unveiled that require rethinking our traditional software and hardware architectures. In this paper we present five algorithms and data…

Networking and Internet Architecture · Computer Science 2017-11-21 Jordi Ros-Giralt , Alan Commike , Peter Cullen , Richard Lethin

We present one stable mergesort algorithm, called \Adaptive Shivers Sort, that exploits the existence of monotonic runs for sorting efficiently partially sorted data. We also prove that, although this algorithm is simple to implement, its…

Data Structures and Algorithms · Computer Science 2020-09-09 Vincent Jugé

Consider the problem of minimizing an expected logarithmic loss over either the probability simplex or the set of quantum density matrices. This problem includes tasks such as solving the Poisson inverse problem, computing the…

Optimization and Control · Mathematics 2024-03-12 Chung-En Tsai , Hao-Chung Cheng , Yen-Huan Li

Consider a problem in which $n$ jobs that are classified into $k$ types arrive over time at their release times and are to be scheduled on a single machine so as to minimize the maximum flow time. The machine requires a setup taking $s$…

Data Structures and Algorithms · Computer Science 2017-09-19 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

We empirically study sorting in the evolving data model. In this model, a sorting algorithm maintains an approximation to the sorted order of a list of data items while simultaneously, with each comparison made by the algorithm, an…

Data Structures and Algorithms · Computer Science 2018-05-16 Juan Jose Besa , William E. Devanny , David Eppstein , Michael Goodrich , Timothy Johnson

Link-based data structures, such as linked lists and binary search trees, have many well-known rearrangement steps allowing for efficient implementations of insertion, deletion, and other operations. We describe a rearrangement primitive…

Data Structures and Algorithms · Computer Science 2012-03-02 Boris Alexeev , M. Brian Jacokes

Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

Inspired by a common technique for shuffling a deck of cards on a table without riffling, we formalize the pile shuffle and investigate its capabilities as a sorting device. Our study is novel in that we consider pile shuffle in three…

Combinatorics · Mathematics 2025-06-03 Kyle B. Treleaven

First-order optimization methods are crucial for solving large-scale data processing problems, particularly those involving convex non-smooth composite objectives. For such problems with convex non-smooth composite objectives, we introduce…

Optimization and Control · Mathematics 2025-10-06 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

Join order optimization is among the most crucial query optimization problems, and its central position is also evident in the new research field where quantum computing is applied to database optimization and data management. In the field,…

Quantum Physics · Physics 2025-02-04 Valter Uotila

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis