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We rethink the definition of privacy in multi-server, graph-replicated private information retrieval (PIR) systems, and introduce a novel setting where the user's privacy is governed by the servers' storage structure. In particular, while…

Information Theory · Computer Science 2026-05-12 Shreya Meel , Mohamed Nomeir , Sennur Ulukus

Isotonic regression is a nonparametric approach for fitting monotonic models to data that has been widely studied from both theoretical and practical perspectives. However, this approach encounters computational and statistical overfitting…

Methodology · Statistics 2012-03-21 Ronny Luss , Saharon Rosset , Moni Shahar

We revisit the algorithmic problem of finding a triangle in a graph (\textsc{Triangle Detection}), and examine its relation to other problems such as \textsc{3Sum}, \textsc{Independent Set}, and \textsc{Graph Coloring}. We obtain several…

Data Structures and Algorithms · Computer Science 2024-02-13 Adrian Dumitrescu

Various graph neural networks (GNNs) have been proposed to solve node classification tasks in machine learning for graph data. GNNs use the structural information of graph data by aggregating the features of neighboring nodes. However, they…

Machine Learning · Computer Science 2022-12-29 Yuga Oishi , Ken kaneiwa

iGraphMatch is an R package for finding corresponding vertices between two graphs, also known as graph matching. The package implements three categories of prevalent graph matching algorithms including relaxation-based, percolation-based,…

Computation · Statistics 2021-12-20 Zihuan Qiao , Daniel Sussman

We study the problem of distance-preserving graph compression for weighted paths and trees. The problem entails a weighted graph $G = (V, E)$ with non-negative weights, and a subset of edges $E^{\prime} \subset E$ which needs to be removed…

Data Structures and Algorithms · Computer Science 2024-09-19 Amirali Madani , Anil Maheshwari

Neighbor-based collaborative ranking (NCR) techniques follow three consecutive steps to recommend items to each target user: first they calculate the similarities among users, then they estimate concordance of pairwise preferences to the…

Information Retrieval · Computer Science 2018-11-06 Bita Shams , Saman Haratizadeh

Recently, network embedding that encodes structural information of graphs into a vector space has become popular for network analysis. Although recent methods show promising performance for various applications, the huge sizes of graphs may…

Social and Information Networks · Computer Science 2019-07-18 Esra Akbas , Mehmet Aktas

Generative Recommendation (GR) has emerged as a transformative paradigm that reformulates the traditional cascade ranking system into a sequence-to-item generation task, facilitated by the use of discrete Semantic IDs (SIDs). However,…

Information Retrieval · Computer Science 2026-02-25 Zesheng Wang , Longfei Xu , Weidong Deng , Huimin Yan , Kaikui Liu , Xiangxiang Chu

Finding desired information from large data set is a difficult problem. Information retrieval is concerned with the structure, analysis, organization, storage, searching, and retrieval of information. Index is the main constituent of an IR…

Information Retrieval · Computer Science 2012-09-26 Md. Abdullah al Mamun , Md. Hanif , Md. Rakib Uddin , Tanvir Ahmed , Md. Mofizul Islam

We study the problem of approximating the number of $k$-cliques in a graph when given query access to the graph. We consider the standard query model for general graphs via (1) degree queries, (2) neighbor queries and (3) pair queries. Let…

Data Structures and Algorithms · Computer Science 2018-03-14 Talya Eden , Dana Ron , C. Seshadhri

Grammar compression is a general compression framework in which a string $T$ of length $N$ is represented as a context-free grammar of size $n$ whose language contains only $T$. In this paper, we focus on studying the limitations of…

Data Structures and Algorithms · Computer Science 2024-09-24 Rajat De , Dominik Kempa

Graph neural networks (GNNs) have delivered remarkable results in various fields. However, the rapid increase in the scale of graph data has introduced significant performance bottlenecks for GNN inference. Both computational complexity and…

Machine Learning · Computer Science 2025-03-11 Xiabao Wu , Yongchao Liu , Wei Qin , Chuntao Hong

As graph-structured data grow increasingly large, evaluating their robustness under adversarial attacks becomes computationally expensive and difficult to scale. To address this challenge, we propose to compress graphs into compact…

Machine Learning · Computer Science 2025-11-26 Qisen Chai , Yansong Wang , Junjie Huang , Tao Jia

We introduce the problem of symmetric private information retrieval (SPIR) on replicated databases modeled by a simple graph. In this model, each vertex corresponds to a server, and a message is replicated on two servers if and only if…

Information Theory · Computer Science 2025-09-04 Shreya Meel , Sennur Ulukus

Click-Through Rate (CTR) prediction, which aims to estimate the probability that a user will click an item, is an essential component of online advertising. Existing methods mainly attempt to mine user interests from users' historical…

Information Retrieval · Computer Science 2022-07-25 Erxue Min , Yu Rong , Tingyang Xu , Yatao Bian , Peilin Zhao , Junzhou Huang , Da Luo , Kangyi Lin , Sophia Ananiadou

In pattern matching on strings, a locate query asks for an enumeration of all the occurrences of a given pattern in a given text. The r-index [Gagie et al., 2018] is a recently presented compressed self index that stores the text and…

Data Structures and Algorithms · Computer Science 2025-07-29 Patrick Dinklage , Johannes Fischer , Lukas Nalbach , Jan Zumbrink

The goal of graph inference is to design algorithms for learning properties of a hidden graph using queries to an oracle that returns information about the graph. Graph reconstruction, verification, and property testing are all types of…

Data Structures and Algorithms · Computer Science 2025-02-26 Huck Bennett , Mitchell Black , Amir Nayyeri , Evelyn Warton

In this paper, we study the problem of private information retrieval (PIR) in both graph-based and multigraph-based replication systems, where each file is stored on exactly two servers, and any pair of servers shares at most $r$ files. We…

Information Theory · Computer Science 2025-04-30 Xiangliang Kong , Shreya Meel , Thomas Jacob Maranzatto , Itzhak Tamo , Sennur Ulukus

Compression algorithms are important for data oriented tasks, especially in the era of Big Data. Modern processors equipped with powerful SIMD instruction sets, provide us an opportunity for achieving better compression performance.…

Information Retrieval · Computer Science 2015-04-15 Wayne Xin Zhao , Xudong Zhang , Daniel Lemire , Dongdong Shan , Jian-Yun Nie , Hongfei Yan , Ji-Rong Wen
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