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We construct a fixed parameter algorithm parameterized by d and k that takes as an input a graph G' obtained from a d-degenerate graph G by complementing on at most k arbitrary subsets of the vertex set of G and outputs a graph H such that…

Discrete Mathematics · Computer Science 2018-06-28 Jakub Gajarsky , Daniel Kral

High-dimensional representations for words, text, images, knowledge graphs and other structured data are commonly used in different paradigms of machine learning and data mining. These representations have different degrees of…

Computation and Language · Computer Science 2020-11-26 Sunipa Dev

Graph embedding has become a powerful tool for learning latent representations of nodes in a graph. Despite its superior performance in various graph-based machine learning tasks, serious privacy concerns arise when the graph data contains…

Cryptography and Security · Computer Science 2024-08-06 Zening Li , Rong-Hua Li , Meihao Liao , Fusheng Jin , Guoren Wang

Recent years have witnessed a rapid growth of recommender systems, providing suggestions in numerous applications with potentially high social impact, such as health or justice. Meanwhile, in Europe, the upcoming AI Act mentions…

Artificial Intelligence · Computer Science 2024-07-18 Simon Delarue , Astrid Bertrand , Tiphaine Viard

Graph-based collaborative filtering methods have prevailing performance for recommender systems since they can capture high-order information between users and items, in which the graphs are constructed from the observed user-item…

Information Retrieval · Computer Science 2024-01-24 Hongjian Gu , Yaochen Hu , Yingxue Zhang

Differential Privacy is the gold standard in privacy-preserving data analysis. This paper addresses the challenge of producing a differentially edge-private vertex coloring. In this paper, we present two novel algorithms to approach this…

Data Structures and Algorithms · Computer Science 2026-02-17 Michael Xie , Jiayi Wu , Dung Nguyen , Aravind Srinivasan

Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan

Online platforms and regulators face a continuing problem of designing effective evaluation metrics. While tools for collecting and processing data continue to progress, this has not addressed the problem of "unknown unknowns", or…

Computer Science and Game Theory · Computer Science 2024-10-29 Serena Wang , Michael I. Jordan , Katrina Ligett , R. Preston McAfee

A signed graph (SG) is a graph where edges carry sign information attached to it. The sign of a network can be positive, negative, or neutral. A signed network is ubiquitous in a real-world network like social networks, citation networks,…

Social and Information Networks · Computer Science 2024-09-09 Shrabani Ghosh

The metric dimension of a graph is the smallest number of nodes required to identify all other nodes based on shortest path distances uniquely. Applications of metric dimension include discovering the source of a spread in a network,…

Combinatorics · Mathematics 2021-04-16 Richard C. Tillquist , Rafael M. Frongillo , Manuel E. Lladser

Neural networks are often represented as graphs of connections between neurons. However, despite their wide use, there is currently little understanding of the relationship between the graph structure of the neural network and its…

Machine Learning · Computer Science 2020-08-28 Jiaxuan You , Jure Leskovec , Kaiming He , Saining Xie

Graph drawing research traditionally focuses on producing geometric embeddings of graphs satisfying various aesthetic constraints. After the geometric embedding is specified, there is an additional step that is often overlooked or ignored:…

Computational Geometry · Computer Science 2007-05-23 Michael B. Dillencourt , David Eppstein , Michael T. Goodrich

This work focuses on the (k,l)-anonymity of some networks as a measure of their privacy against active attacks. Two different types of networks are considered. The first one consists of graphs with a predetermined structure, namely…

Optimization and Control · Mathematics 2023-04-04 Elena Fernández , Dorota Kuziak , Manuel Munoz-Marquez , Ismael G. Yero

We study the stable marriage problem in two-sided markets with randomly generated preferences. We consider agents on each side divided into a constant number of "soft tiers", which intuitively indicate the quality of the agent.…

Computer Science and Game Theory · Computer Science 2021-01-14 Itai Ashlagi , Mark Braverman , Amin Saberi , Clayton Thomas , Geng Zhao

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

Social and Information Networks · Computer Science 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy

Preference-based data often appear complex and noisy but may conceal underlying homogeneous structures. This paper introduces a novel framework of ranking structure recognition for preference-based data. We first develop an approach to…

Machine Learning · Statistics 2025-11-11 Nan Lu , Jian Shi , Xin-Yu Tian

Conditions are presented for different types of identifiability of discrete variable models generated over an undirected graph in which one node represents a binary hidden variable. These models can be seen as extensions of the latent class…

Methodology · Statistics 2013-12-12 Elena Stanghellini , Barbara Vantaggi

Finding a product online can be a challenging task for users. Faceted search interfaces, often in combination with recommenders, can support users in finding a product that fits their preferences. However, those preferences are not always…

Information Retrieval · Computer Science 2023-02-14 Dagmar Kern , Wilko van Hoek , Daniel Hienert

We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acyclic graph, with vertices representing items and an edge…

Discrete Mathematics · Computer Science 2024-02-02 Nina Chiarelli , Clément Dallard , Andreas Darmann , Stefan Lendl , Martin Milanič , Peter Muršič , Ulrich Pferschy

Community detection in graphs, data clustering, and local pattern mining are three mature fields of data mining and machine learning. In recent years, attributed subgraph mining is emerging as a new powerful data mining task in the…

Social and Information Networks · Computer Science 2019-05-09 Anes Bendimerad , Ahmad Mel , Jefrey Lijffijt , Marc Plantevit , Céline Robardet , Tijl De Bie
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