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The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed

As the representative of the shock-capturing scheme, the Roe scheme fails to LES because important turbulent characteristics cannot be reproduced such as the famous k-5/3 spectral law owing to large numerical dissipation. In this paper, the…

Fluid Dynamics · Physics 2016-07-26 Xue-song Li

The effects induced by numerical schemes and mesh geometry on the solution of two-dimensional supersonic inviscid flows are investigated in the context of the compressible Euler equations. Five different finite-difference schemes are…

Fluid Dynamics · Physics 2026-02-13 Frederico Bolsoni Oliveira , João Luiz F. Azevedo

We study the problem of estimating the number of triangles in a graph stream. No streaming algorithm can get sublinear space on all graphs, so methods in this area bound the space in terms of parameters of the input graph such as the…

Data Structures and Algorithms · Computer Science 2019-04-18 John Kallaugher , Eric Price

Moving and fixed bottlenecks are moving or fixed capacity restrictions that affect the propagation of traffic flow. They are a very important modeling approach to describe the effects of slow vehicles and traffic signals in transportation…

Analysis of PDEs · Mathematics 2017-01-05 Michele D. Simoni , Christian G. Claudel

Benchmarking Simultaneous Localization and Mapping (SLAM) algorithms is important to scientists and users of robotic systems alike. But through their many configuration options in hardware and software, SLAM systems feature a vast parameter…

Robotics · Computer Science 2023-03-22 Yuanyuan Yang , Bowen Xu , Yinjie Li , Sören Schwertfeger

Many problems in stellar astrophysics feature flows at low Mach numbers. Conventional compressible hydrodynamics schemes frequently used in the field have been developed for the transonic regime and exhibit excessive numerical dissipation…

Instrumentation and Methods for Astrophysics · Physics 2015-04-01 F. Miczek , F. K. Roepke , P. V. F. Edelmann

Time series analysis has achieved great success in cyber security such as intrusion detection and device identification. Learning similarities among multiple time series is a crucial problem since it serves as the foundation for downstream…

Machine Learning · Computer Science 2025-06-23 Shaoyu Dou , Kai Yang , Yang Jiao , Chengbo Qiu , Kui Ren

In Bioinformatics, the applications of flow decomposition in directed acyclic graphs are highlighted in RNA Assembly problem. However, it admits multiple solutions where exactly one solution correctly represents the underlying transcripts.…

Data Structures and Algorithms · Computer Science 2024-09-23 Bashar Ahmed , Siddharth Singh Rana , Ujjwal , Shahbaz Khan

In this paper, we consider the problem of counting and sampling structures in graphs. We define a class of "edge universal labeling problems"---which include proper $k$-colorings, independent sets, and downsets---and describe simple…

Data Structures and Algorithms · Computer Science 2020-08-20 Christine T. Cheng , Will Rosenbaum

Hashing techniques are in great demand for a wide range of real-world applications such as image retrieval and network compression. Nevertheless, existing approaches could hardly guarantee a satisfactory performance with the extremely…

Information Retrieval · Computer Science 2020-02-13 Yadan Luo , Zi Huang , Yang Li , Fumin Shen , Yang Yang , Peng Cui

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

Statistics Theory · Mathematics 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

Most of the research on clustering ensemble focuses on designing practical consistency learning algorithms.To solve the problems that the quality of base clusters varies and the low-quality base clusters have an impact on the performance of…

Machine Learning · Computer Science 2024-11-04 Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

Spectral algorithms are an important building block in machine learning and graph algorithms. We are interested in studying when such algorithms can be applied directly to provide optimal solutions to inference tasks. Previous works by…

Data Structures and Algorithms · Computer Science 2022-10-13 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

This paper deals with the theory and application of 2-Dimensional, nine-neighborhood, null- boundary, uniform as well as hybrid Cellular Automata (2D CA) linear rules in image processing. These rules are classified into nine groups…

Discrete Mathematics · Computer Science 2008-04-16 Pabitra Pal Choudhury , Birendra Kumar Nayak , Sudhakar Sahoo , Sunil Pankaj Rath

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

Statistics Theory · Mathematics 2018-12-27 Zhixin Zhou , Arash A. Amini

Biological and physical systems often exhibit distinct structures at different spatial/temporal scales. Persistent homology is an algebraic tool that provides a mathematical framework for analyzing the multi-scale structures frequently…

Algebraic Topology · Mathematics 2016-02-01 Jonathan Jaquette , Miroslav Kramár

There is an overwhelmingly large literature and algorithms already available on `large scale inference problems' based on different modeling techniques and cultures. Our primary goal in this paper is \emph{not to add one more new…

Statistics Theory · Mathematics 2017-04-03 Subhadeep Mukhopadhyay

A new adaptive hybrid optimization strategy, entitled squads, is proposed for complex inverse analysis of computationally intensive physical models. The new strategy is designed to be computationally efficient and robust in identification…

Geophysics · Physics 2015-06-03 Velimir V. Vesselinov , Dylan R. Harp

Fairly recently, a new encryption scheme for embedded systems based on continuous third-order hyperbolic sine chaotic system was proposed by Z. Lin et al. The cryptosystem's main objective is to provide a faster algorithm with lowest…

Cryptography and Security · Computer Science 2021-06-21 Imad El Hanouti , Hakim El Fadili , Khalid Zenkouar