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In this paper, we present a factor 16 approximation algorithm for the following NP-hard distance fitting problem: given a finite set X and a distance d on X, find a Robinsonian distance dR on X minimizing the l\infty-error ||d - dR||\infty…

Data Structures and Algorithms · Computer Science 2009-02-10 Victor Chepoi , M. Seston

Network attacks have been very prevalent as their rate is growing tremendously. Both organization and individuals are now concerned about their confidentiality, integrity and availability of their critical information which are often…

Machine Learning · Computer Science 2020-08-07 MohammadNoor Injadat , Fadi Salo , Ali Bou Nassif , Aleksander Essex , Abdallah Shami

Although research on the control of networked systems has grown considerably, graph-theoretic and algorithmic studies on matrix-weighted graphs remain limited. To bridge this gap in the literature, this work introduces two algorithms-the…

Discrete Mathematics · Computer Science 2025-10-22 Minh Hoang Trinh , Hyo-Sung Ahn

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

Applications · Statistics 2021-01-20 Ragnhild Laursen , Asger Hobolth

LU and Cholesky matrix factorization algorithms are core subroutines used to solve systems of linear equations (SLEs) encountered while solving an optimization problem. Standard factorization algorithms are highly efficient but remain…

Numerical Analysis · Mathematics 2022-07-25 Adolfo R. Escobedo

Undirected graphs are frequently used to model networks. The topology of an undirected graph G can be captured by an adjacency matrix; this matrix in turn can be visualized directly to give insight into the graph structure. Which visual…

Human-Computer Interaction · Computer Science 2021-09-27 Nathan van Beusekom , Wouter Meulemans , Bettina Speckmann

We present an efficient distributed memory parallel algorithm for computing connected components in undirected graphs based on Shiloach-Vishkin's PRAM approach. We discuss multiple optimization techniques that reduce communication volume as…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-15 Chirag Jain , Patrick Flick , Tony Pan , Oded Green , Srinivas Aluru

Lexicographic Depth First Search (LexDFS) is a special variant of a Depth First Search (DFS), which was introduced by Corneil and Krueger in 2008. While this search has been used in various applications, in contrast to other graph searches,…

Discrete Mathematics · Computer Science 2020-11-24 Jesse Beisegel , Ekkehard Köhler , Robert Scheffler , Martin Strehler

This work presents a fast and non-convex algorithm for robust subspace recovery. The data sets considered include inliers drawn around a low-dimensional subspace of a higher dimensional ambient space, and a possibly large portion of…

Machine Learning · Computer Science 2018-11-07 Gilad Lerman , Tyler Maunu

We design a self size-estimating feed-forward network (SSFN) using a joint optimization approach for estimation of number of layers, number of nodes and learning of weight matrices. The learning algorithm has a low computational complexity,…

Machine Learning · Computer Science 2020-03-06 Saikat Chatterjee , Alireza M. Javid , Mostafa Sadeghi , Shumpei Kikuta , Dong Liu , Partha P. Mitra , Mikael Skoglund

Subgraph matching is a fundamental problem in graph analysis with a wide range of applications. However, due to its inherent NP-hardness, enumerating subgraph matches efficiently on large real-world graphs remains highly challenging. Most…

Databases · Computer Science 2026-03-11 Linglin Yang , Xunbin Su , Lei Zou , Xiangyang Gou , Yinnian Lin

This paper investigates the problem of determining a binary-valued function through a sequence of strategically selected queries. The focus is an algorithm called Generalized Binary Search (GBS). GBS is a well-known greedy algorithm for…

Machine Learning · Statistics 2013-06-26 Robert D. Nowak

Binary Stochastic Filtering (BSF), the algorithm for feature selection and neuron pruning is proposed in this work. The method defines filtering layer which penalizes amount of the information involved in the training process. This…

Machine Learning · Computer Science 2019-08-21 Andrii Trelin , Ales Prochazka

We present the first accelerated randomized algorithm for solving linear systems in Euclidean spaces. One essential problem of this type is the matrix inversion problem. In particular, our algorithm can be specialized to invert positive…

Optimization and Control · Mathematics 2018-06-21 Robert M. Gower , Filip Hanzely , Peter Richtárik , Sebastian Stich

Non-negative Matrix Factorization (NMF) is an effective algorithm for multivariate data analysis, including applications to feature selection, pattern recognition, and computer vision. Its variant, Semi-Nonnegative Matrix Factorization…

Numerical Analysis · Mathematics 2024-10-23 Anthony Rhodes , Bin Jiang , Jenny Jiang

Symmetry plays a major role in subgraph matching both in the description of the graphs in question and in how it confounds the search process. This work addresses how to quantify these effects and how to use symmetries to increase the…

Data Structures and Algorithms · Computer Science 2023-01-10 Dominic Yang , Yurun Ge , Thien Nguyen , Jacob Moorman , Denali Molitor , Andrea Bertozzi

In this paper, we resolve a long-standing question in self-stabilization by demonstrating that it is indeed possible to construct a spanning tree in a semi-uniform network using constant memory per node. We introduce a self-stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Lélia Blin , Franck Petit , Sébastien Tixeuil

This paper describes a method for searching for common sets of descriptors between collections of images. The presented method operates on local interest keypoints, which are generated using the SURF algorithm. The use of a dictionary of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Patryk Najgebauer , Janusz Rygal , Tomasz Nowak , Jakub Romanowski , Leszek Rutkowski , Sviatoslav Voloshynovskiy , Rafal Scherer

Many real-world tasks such as recommending videos with the kids tag can be reduced to finding most similar vectors associated with hard predicates. This task, filtered vector search, is challenging as prior state-of-the-art graph-based…

Databases · Computer Science 2025-07-22 Zhaoheng Li , Silu Huang , Wei Ding , Yongjoo Park , Jianjun Chen

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

Machine Learning · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel