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Access graphs, which have been used previously in connection with competitive analysis and relative worst order analysis to model locality of reference in paging, are considered in connection with relative interval analysis. The algorithms…

Data Structures and Algorithms · Computer Science 2013-05-06 Joan Boyar , Sushmita Gupta , Kim S. Larsen

Relative worst order analysis is a supplement or alternative to competitive analysis which has been shown to give results more in accordance with observed behavior of online algorithms for a range of different online problems. The…

Data Structures and Algorithms · Computer Science 2015-03-17 Martin R. Ehmsen , Jens S. Kohrt , Kim S. Larsen

Relative worst-order analysis is a technique for assessing the relative quality of online algorithms. We survey the most important results obtained with this technique and compare it with other quality measures.

Data Structures and Algorithms · Computer Science 2018-02-21 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

We investigate Relational Graph Attention Networks, a class of models that extends non-relational graph attention mechanisms to incorporate relational information, opening up these methods to a wider variety of problems. A thorough…

Machine Learning · Computer Science 2019-04-12 Dan Busbridge , Dane Sherburn , Pietro Cavallo , Nils Y. Hammerla

The competitive analysis fails to model locality of reference in the online paging problem. To deal with it, Borodin et. al. introduced the access graph model, which attempts to capture the locality of reference. However, the access graph…

Data Structures and Algorithms · Computer Science 2009-03-23 Amos Fiat , Manor Mendel

List accessing problem has been studied as a problem of significant theoretical and practical interest in the context of linear search. Various list accessing algorithms have been proposed in the literature and their performances have been…

Data Structures and Algorithms · Computer Science 2012-06-28 Rakesh Mohanty , Sangita Patel , Shiba Prasad Dash , Burle Sharma

In evaluating an algorithm, worst-case analysis can be overly pessimistic. Average-case analysis can be overly optimistic. An intermediate approach is to show that an algorithm does well on a broad class of input distributions. Koutsoupias…

Data Structures and Algorithms · Computer Science 2015-06-02 Neal E. Young

Recently similarity graphs became the leading paradigm for efficient nearest neighbor search, outperforming traditional tree-based and LSH-based methods. Similarity graphs perform the search via greedy routing: a query traverses the graph…

Machine Learning · Computer Science 2019-05-28 Dmitry Baranchuk , Dmitry Persiyanov , Anton Sinitsin , Artem Babenko

The "Local Ranking Problem" (LRP) is related to the computation of a centrality-like rank on a local graph, where the scores of the nodes could significantly differ from the ones computed on the global graph. Previous work has studied LRP…

Data Structures and Algorithms · Computer Science 2015-05-26 Michele Trevisiol , Luca Maria Aiello , Paolo Boldi , Roi Blanco

Various list accessing algorithms have been proposed in the literature and their performances have been analyzed theoretically and experimentally. Move-To-Front (MTF) and Transpose (TRANS) are two well known primitive list accessing…

Data Structures and Algorithms · Computer Science 2013-09-11 Rakesh Mohanty , Sangita Patel , Shiba Prasad Dash , Burle Sharma

List Accessing Problem is a well studied research problem in the context of linear search. Input to the list accessing problem is an unsorted linear list of distinct elements along with a sequence of requests, where each request is an…

Data Structures and Algorithms · Computer Science 2015-05-30 Rakesh Mohanty , Burle Sharma , Sasmita Tripathy

A common phenomena in modern recommendation systems is the use of feedback from one user to infer the `value' of an item to other users. This results in an exploration vs. exploitation trade-off, in which items of possibly low value have to…

Machine Learning · Computer Science 2014-11-11 Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Graph comparison is fundamentally important for many applications such as the analysis of social networks and biological data and has been a significant research area in the pattern recognition and pattern analysis domains. Nowadays, the…

Data Structures and Algorithms · Computer Science 2015-02-27 Hamida Seba , Sofiane Lagraa , Elsen Ronando

A vertex ranking of a graph is an assignment of ranks (or colors) to the vertices of the graph, in such a way that any simple path connecting two vertices of equal rank, must contain a vertex of a higher rank. In this paper we study a…

Combinatorics · Mathematics 2016-09-21 Ilan Karpas , Ofer Neiman , Shakhar Smorodinsky

In this paper we introduce a new technique to analyze families of rankings focused on the study of structural properties of a new type of graphs. Given a finite number of elements and a family of rankings of those elements, we say that two…

Combinatorics · Mathematics 2014-03-26 Regino Criado , Esther Garcia , Francisco Pedroche , Miguel Romance

We study the problem of exploring all vertices of an undirected weighted graph that is initially unknown to the searcher. An edge of the graph is only revealed when the searcher visits one of its endpoints. Beginning at some start node, the…

Data Structures and Algorithms · Computer Science 2023-10-30 Robin Fritsch

Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

Data Structures and Algorithms · Computer Science 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

Access control is the enforcement of the authorization policy, which defines subjects, resources, and access rights. Graph-structured data requires advanced, flexible, and fine-grained access control due to its complex structure as…

Cryptography and Security · Computer Science 2024-06-03 Aya Mohamed , Dagmar Auer , Daniel Hofer , Josef Kueng

We explore the interaction between connectivity and Lin-Lu-Yau curvature of graphs systematically. The intuition is that connected graphs with large Lin-Lu-Yau curvature also have large connectivity, and vice versa. We prove that the…

Combinatorics · Mathematics 2025-04-22 Kaizhe Chen , Shiping Liu , Zhe You

In the coming era of semantic web linked data analysis is a very burning issue for efficient searching and retrieval of information. One way of establishing this link is to implement subject predicate object relationship through Set Theory…

Information Retrieval · Computer Science 2013-12-02 Ayan Chakraborty , Shiladitya Munshi , Debajyoti Mukhopadhyay
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