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The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Data sparsity, that is a common problem in neighbor-based collaborative filtering domain, usually complicates the process of item recommendation. This problem is more serious in collaborative ranking domain, in which calculating the users…

Social and Information Networks · Computer Science 2017-02-01 Bita Shams , Saman Haratizadeh

Rank-based linkage is a new tool for summarizing a collection $S$ of objects according to their relationships. These objects are not mapped to vectors, and ``similarity'' between objects need be neither numerical nor symmetrical. All an…

Combinatorics · Mathematics 2026-03-25 R. W. R. Darling , Will Grilliette , Adam Logan

We present a new approximation algorithm for the minimum 2-edge-connected spanning subgraph problem. Its approximation ratio is $\frac{4}{3}$, which matches the current best ratio. The approximation ratio of the algorithm is $\frac{6}{5}$…

Data Structures and Algorithms · Computer Science 2023-05-10 Ali Çivril

A multimodal network encodes relationships between the same set of nodes in multiple settings, and network alignment is a powerful tool for transferring information and insight between a pair of networks. We propose a method for multimodal…

Social and Information Networks · Computer Science 2017-03-31 Huda Nassar , David F. Gleich

We consider the problem of estimation of a low-rank matrix from a limited number of noisy rank-one projections. In particular, we propose two fast, non-convex \emph{proper} algorithms for matrix recovery and support them with rigorous…

Machine Learning · Statistics 2017-05-23 Mohammadreza Soltani , Chinmay Hegde

Constructing a similarity graph from a set $X$ of data points in $\mathbb{R}^d$ is the first step of many modern clustering algorithms. However, typical constructions of a similarity graph have high time complexity, and a quadratic space…

Data Structures and Algorithms · Computer Science 2023-10-24 Peter Macgregor , He Sun

We present a new algorithm for finding a near optimal low-rank approximation of a matrix $A$ in $O(nnz(A))$ time. Our method is based on a recursive sampling scheme for computing a representative subset of $A$'s columns, which is then used…

Data Structures and Algorithms · Computer Science 2016-10-10 Michael B. Cohen , Cameron Musco , Christopher Musco

Rank deficient Hankel matrices are at the core of several applications. However, in practice, the coefficients of these matrices are noisy due to e.g. measurements errors and computational errors, so generically the involved matrices are…

Numerical Analysis · Mathematics 2020-12-15 Antonio Fazzi , Nicola Guglielmi , Ivan Markovsky

Graph-based ranking methods, such as LexRank, are fundamental in Natural Language Processing (NLP) applications like text summarization, as they measure the relative importance of textual units. Building on recent advances in ranking…

Optimization and Control · Mathematics 2025-09-10 Anna Timonina-Farkas

This article presents a novel approach to estimate semantic entity similarity using entity features available as Linked Data. The key idea is to exploit ranked lists of features, extracted from Linked Data sources, as a representation of…

We propose a new technique for constructing low-rank approximations of matrices that arise in kernel methods for machine learning. Our approach pairs a novel automatically constructed analytic expansion of the underlying kernel function…

Machine Learning · Computer Science 2022-02-09 John Paul Ryan , Anil Damle

This paper introduces a scalable approach for probabilistic top-k similarity ranking on uncertain vector data. Each uncertain object is represented by a set of vector instances that are assumed to be mutually-exclusive. The objective is to…

Databases · Computer Science 2009-07-17 Thomas Bernecker , Hans-Peter Kriegel , Nikos Mamoulis , Matthias Renz , Andreas Zuefle

The paper utilizes the graph embeddings generated for entities of a large biomedical database to perform link prediction to capture various new relationships among different entities. A novel node similarity measure is proposed that…

Information Retrieval · Computer Science 2021-11-01 Prakhar Gurawa , Matthias Nickles

The low-rank tensor approximation is very promising for the compression of deep neural networks. We propose a new simple and efficient iterative approach, which alternates low-rank factorization with a smart rank selection and fine-tuning.…

Machine Learning · Computer Science 2019-11-18 Julia Gusak , Maksym Kholiavchenko , Evgeny Ponomarev , Larisa Markeeva , Ivan Oseledets , Andrzej Cichocki

This paper proposes a new graph proximity measure. This measure is a derivative of network reliability. By analyzing its properties and comparing it against other proximity measures through graph examples, we demonstrate that it is more…

Social and Information Networks · Computer Science 2016-12-23 Haifeng Qian , Hui Wan , Mark N. Wegman , Luis A. Lastras , Ruchir Puri

This paper proposes integrating semantics-oriented similarity representation into RankingMatch, a recently proposed semi-supervised learning method. Our method, dubbed ReRankMatch, aims to deal with the case in which labeled and unlabeled…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Trung Quang Tran , Mingu Kang , Daeyoung Kim

Given a network and a subset of interesting vertices whose identities are only partially known, the vertex nomination problem seeks to rank the remaining vertices in such a way that the interesting vertices are ranked at the top of the…

Social and Information Networks · Computer Science 2022-03-29 Runbing Zheng , Vince Lyzinski , Carey E. Priebe , Minh Tang

Most if not all on-line item-to-item recommendation systems rely on estimation of a distance like measure (rank) of similarity between items. For on-line recommendation systems, time sensitivity of this similarity measure is extremely…

Numerical Analysis · Mathematics 2023-02-06 Alexander Kushkuley , Joshua Correa

The parametric geometry of numbers has allowed to visualize the simultaneous approximation properties of a collection of real numbers through the combined graph of the related successive minima functions. Several inequalities among…

Number Theory · Mathematics 2021-03-18 Wolfgang M. Schmidt , Leonhard Summerer