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Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Memristive in-memory sorting has been proposed recently to improve hardware sorting efficiency. Using iterative in-memory min computations, data movements between memory and external processing units can be eliminated for improved latency…

Hardware Architecture · Computer Science 2022-02-22 Lianfeng Yu , Zhaokun Jing , Yuchao Yang , Yaoyu Tao

In-place associative integer sorting technique was proposed for integer lists which requires only constant amount of additional memory replacing bucket sort, distribution counting sort and address calculation sort family of algorithms. The…

Data Structures and Algorithms · Computer Science 2012-09-18 A. Emre Cetin

Most previous studies of the sorting algorithm QuickSort have used the number of key comparisons as a measure of the cost of executing the algorithm. Here we suppose that the n independent and identically distributed (i.i.d.) keys are each…

Probability · Mathematics 2013-03-14 James Allen Fill

Analyzing large graph data is an essential part of many modern applications, such as social networks. Due to its large computational complexity, distributed processing is frequently employed. This requires graph data to be divided across…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 YoungJoon Park , DongKyu Lee , Tien-Cuong Bui

In networks-on-chip, static routing schemes are favored for their simplicity and predictability, but they cannot effectively balance network load due to the unawareness of runtime load distribution. Q-StaR discovers two factors (topology…

Networking and Internet Architecture · Computer Science 2026-03-12 Yang Zhang , Yiren Zhao , Xu Wang , Fengyuan Ren

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

Machine Learning · Computer Science 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

The exponential growth of data necessitates distributed storage models, such as peer-to-peer systems and data federations. While distributed storage can reduce costs and increase reliability, the heterogeneity in storage capacity, I/O…

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

Machine Learning · Computer Science 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

Probabilistic solvers for ordinary differential equations (ODEs) provide efficient quantification of numerical uncertainty associated with simulation of dynamical systems. Their convergence rates have been established by a growing body of…

Machine Learning · Statistics 2020-12-21 Nicholas Krämer , Philipp Hennig

Motivated by the development of computer theory, the sorting algorithm is emerging in an endless stream. Inspired by decrease and conquer method, we propose a brand new sorting algorithmUltimately Heapsort. The algorithm consists of two…

Data Structures and Algorithms · Computer Science 2019-02-04 Feiyang Chen , Nan Chen , Hanyang Mao , Hanlin Hu

Proportional apportionment is the problem of assigning seats to parties according to their relative share of votes. Divisor methods are the de-facto standard solution, used in many countries. In recent literature, there are two algorithms…

Data Structures and Algorithms · Computer Science 2017-12-06 Raphael Reitzig , Sebastian Wild

In this paper, we introduce and prove QR Sort, a novel non-comparative integer sorting algorithm. This algorithm uses principles derived from the Quotient-Remainder Theorem and Counting Sort subroutines to sort input sequences stably. QR…

Data Structures and Algorithms · Computer Science 2024-11-13 Randolph T. Bushman , Tanya M. Tebcherani , Alhassan S. Yasin

Shor's algorithm is one of the most prominent quantum algorithms, yet finding efficient implementations remains an active research challenge. While many approaches focus on low-level modular arithmetic optimizations, a broader perspective…

Quantum Physics · Physics 2025-12-23 Moritz Schmidt , Abhoy Kole , Leon Wichette , Rolf Drechsler , Frank Kirchner , Elie Mounzer

Sorting is one of the classic problems of computer science. Whilst well understood on sequential machines, the diversity of architectures amongst parallel systems means that algorithms do not perform uniformly on all platforms. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Lex Weaver , Andrew Lynes

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

Methodology · Statistics 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Distributed locking mechanisms are fundamental to ensuring data consistency and integrity in distributed systems. This paper presents a comprehensive analysis of distributed locking algorithms, focusing on their performance characteristics…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-07 Andre Rodriguez , William Osborn

Zigzag persistent homology is a powerful generalisation of persistent homology that allows one not only to compute persistence diagrams with less noise and using less memory, but also to use persistence in new fields of application.…

Computational Geometry · Computer Science 2016-08-23 Clément Maria , Steve Oudot

Machine learning algorithms with empirical risk minimization are vulnerable under distributional shifts due to the greedy adoption of all the correlations found in training data. Recently, there are robust learning methods aiming at this…

Machine Learning · Computer Science 2021-05-12 Jiashuo Liu , Zheyan Shen , Peng Cui , Linjun Zhou , Kun Kuang , Bo Li , Yishi Lin

Sorting is a fundamental operation in computer science and is a bottleneck in many important fields. Sorting is critical to database applications, online search and indexing,biomedical computing, and many other applications. The explosive…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-11 Dmitri I. Arkhipov , Di Wu , Keqin Li , Amelia C. Regan
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