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We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

Parallel reasoning, where a generator samples many candidate solutions and an aggregator selects the best, is one of the most effective forms of test-time scaling in large language models, and pairwise self-verification has become its…

Artificial Intelligence · Computer Science 2026-05-18 Fangzhou Lin , Shuo Xing , Peiran Li , Siyuan Yang , Qianwen Ge , Kazunori Yamada , Ziming Zhang , Haichong Zhang , Zhengzhong Tu

Contrary to common belief, a recent work by Ellen, Gelashvili, Shavit, and Zhu has shown that computability does not require multicore architectures to support "strong" synchronization instructions like compare-and-swap, as opposed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-09 Rati Gelashvili , Idit Keidar , Alexander Spiegelman , Roger Wattenhofer

This paper is concerned with the problem of implementing an unbounded timestamp object from multi-writer atomic registers, in an asynchronous distributed system of n processors with distinct identifiers where timestamps are taken from an…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-22 Maryam Helmi , Lisa Higham , Eduardo Pacheco , Philipp Woelfel

Work Stealing has been a very successful algorithm for scheduling parallel computations, and is known to achieve high performances even for computations exhibiting fine-grained parallelism. We present a variant of \ws\ that provably avoids…

Data Structures and Algorithms · Computer Science 2019-04-30 Guilherme Rito , Hervé Paulino

In this paper, we propose an efficient concurrent wait-free algorithm to construct an unbounded directed graph for shared memory architecture. To the best of our knowledge that this is the first wait-free algorithm for an unbounded directed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-13 Sathya Peri , Chandra Kiran Reddy , Muktikanta Sa

The hybrid-high order (HHO) scheme has many successful applications including linear elasticity as the first step towards computational solid mechanics. The striking advantage is the simplicity among other higher-order nonconforming schemes…

Numerical Analysis · Mathematics 2026-04-10 Carsten Carstensen , Ngoc Tien Tran

Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

We consider the precedence-constrained scheduling problem to minimize the total weighted completion time. For a single machine several $2$-approximation algorithms are known, which are based on linear programming and network flows. We show…

Data Structures and Algorithms · Computer Science 2023-09-22 Sven Jäger , Philipp Warode

Using efficient point-to-point communication channels is critical for implementing fine grained parallel program on modern shared cache multi-core architectures. This report discusses in detail several implementations of wait-free…

Data Structures and Algorithms · Computer Science 2010-12-09 Massimo Torquati

A new coding and queue management algorithm is proposed for communication networks that employ linear network coding. The algorithm has the feature that the encoding process is truly online, as opposed to a block-by-block approach. The…

Information Theory · Computer Science 2016-11-17 Jay Kumar Sundararajan , Devavrat Shah , Muriel Médard

Priority queues are container data structures essential to many high performance computing (HPC) applications. In this paper, we introduce multiresolution priority queues, a data structure that improves the performance of the standard heap…

Data Structures and Algorithms · Computer Science 2017-08-11 Jordi Ros-Giralt , Alan Commike , Peter Cullen , Jeff Lucovsky , Dilip Madathil , Richard Lethin

In complex systems, it is quite common to resort to approximations when optimizing system performance. These approximations typically involve selecting a particular system parameter and then studying the performance of the system as this…

Probability · Mathematics 2015-11-18 Ramandeep S. Randhawa

In this work, we study progress conditions for commutativity-aware, linearizable implementations of shared objects. Motivated by the observation that commuting operations can be executed in parallel, we introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-05 Petr Kuznetsov , Pierre Sutra , Guillermo Toyos-Marfurt

The great amount of datasets generated by various data sources have posed the challenge to machine learning algorithm selection and hyperparameter configuration. For a specific machine learning task, it usually takes domain experts plenty…

Machine Learning · Computer Science 2020-07-08 Tianyu Mu , Hongzhi Wang , Chunnan Wang , Zheng Liang

Lazy evaluation is a powerful tool that enables better compositionality and potentially better performance in functional programming, but it is challenging to analyze its computation cost. Existing works either require manually annotating…

Programming Languages · Computer Science 2024-07-24 Li-yao Xia , Laura Israel , Maite Kramarz , Nicholas Coltharp , Koen Claessen , Stephanie Weirich , Yao Li

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

Machine Learning · Statistics 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

In this work, we study the phase estimation problem. We show an alternative, simpler and self-contained proof of query lower bounds. Technically, compared to the previous proofs [NW99, Bes05], our proof is considerably elementary.…

Quantum Physics · Physics 2023-04-06 Yao-Ting Lin

The binary heap of Williams (1964) is a simple priority queue characterized by only storing an array containing the elements and the number of elements $n$ - here denoted a strictly implicit priority queue. We introduce two new strictly…

Data Structures and Algorithms · Computer Science 2015-05-04 Gerth Stølting Brodal , Jesper Sindahl Nielsen , Jakob Truelsen

A worst-case complexity bound is proved for a sequential quadratic optimization (commonly known as SQP) algorithm that has been designed for solving optimization problems involving a stochastic objective function and deterministic nonlinear…

Optimization and Control · Mathematics 2022-01-10 Frank E. Curtis , Michael J. O'Neill , Daniel P. Robinson
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