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Besides the need for a better understanding of networks, there is a need for prescriptive models and tools to specify requirements concerning networks and their associated graph representations. We propose class-based graphs as a means to…

社会与信息网络 · 计算机科学 2012-08-31 Willy Picard

Extreme multi-label classification (XMLC) refers to the task of tagging instances with small subsets of relevant labels coming from an extremely large set of all possible labels. Recently, XMLC has been widely applied to diverse web…

机器学习 · 计算机科学 2021-10-22 Marek Wydmuch , Kalina Jasinska-Kobus , Rohit Babbar , Krzysztof Dembczyński

A Bayesian optimization algorithm for the nurse scheduling problem is presented, which involves choosing a suitable scheduling rule from a set for each nurses assignment. Unlike our previous work that used Gas to implement implicit…

神经与进化计算 · 计算机科学 2010-07-05 Jingpeng Li , Uwe Aickelin

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

统计理论 · 数学 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and $f$ be a 0-1 labeling of $E(G)$ so that the absolute difference in the number of edges labeled 1 and 0 is no more than one. Call such a labeling $f$ \emph{edge-friendly}. We…

组合数学 · 数学 2011-06-07 Elliot Krop , Sin-Min Lee , Christopher Raridan

For many internet businesses, presenting a given list of items in an order that maximizes a certain metric of interest (e.g., click-through-rate, average engagement time etc.) is crucial. We approach the aforementioned task from a…

机器学习 · 统计学 2017-02-28 Swayambhoo Jain , Akshay Soni , Nikolay Laptev , Yashar Mehdad

Most real-world networks evolve over time. Existing literature proposes models for dynamic networks that are either unlabeled or assumed to have a single membership structure. On the other hand, a new family of Mixed Membership Stochastic…

机器学习 · 计算机科学 2023-04-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Approximate solutions to various NP-hard combinatorial optimization problems have been found by learned heuristics using complex learning models. In particular, vertex (node) classification in graphs has been a helpful method towards…

社会与信息网络 · 计算机科学 2022-11-01 Ali Baran Taşdemir , Tuna Karacan , Emir Kaan Kırmacı , Lale Özkahya

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

统计计算 · 统计学 2012-06-26 Ydo Wexler , Dan Geiger

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

数据分析、统计与概率 · 物理学 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

In the graph label selection problem, one is given an $n$-vertex graph and a budget $k$, and seeks to select $k$ vertices whose labels enable accurate prediction of the labels on the remaining vertices. This problem formalizes distilling a…

数据结构与算法 · 计算机科学 2026-05-21 Josia John , Simon Meierhans , Maximilian Probst Gutenberg

Owing to their versatility, graph structures admit representations of intricate relationships between the separate entities comprising the data. We formalise the notion of connection between two vertex sets in terms of edge and vertex…

机器学习 · 计算机科学 2022-08-23 Peter Belcak , Roger Wattenhofer

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

机器学习 · 统计学 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

统计方法学 · 统计学 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

An uncertain graph $\mathcal{G} = (V, E, p : E \rightarrow (0,1])$ can be viewed as a probability space whose outcomes (referred to as \emph{possible worlds}) are subgraphs of $\mathcal{G}$ where any edge $e\in E$ occurs with probability…

数据结构与算法 · 计算机科学 2017-10-17 Matteo Ceccarello , Carlo Fantozzi , Andrea Pietracaprina , Geppino Pucci , Fabio Vandin

In this work, we present a probabilistic model for directed graphs where nodes have attributes and labels. This model serves as a generative classifier capable of predicting the labels of unseen nodes using either maximum likelihood or…

机器学习 · 计算机科学 2025-01-06 Diego Huerta , Gerardo Arizmendi

Networks or graphs can easily represent a diverse set of data sources that are characterized by interacting units or actors. Social networks, representing people who communicate with each other, are one example. Communities or clusters of…

机器学习 · 统计学 2011-12-14 Karl Rohe , Sourav Chatterjee , Bin Yu

Risk classification plays an important role in many regulations and standards. However, a general method that provides an optimal classification has not been proposed yet. Also, the criteria of optimality are not defined in these…

离散数学 · 计算机科学 2020-12-29 Daniel Zentai

We consider mining dense substructures (maximal cliques) from an uncertain graph, which is a probability distribution on a set of deterministic graphs. For parameter 0 < {\alpha} < 1, we present a precise definition of an {\alpha}-maximal…

数据结构与算法 · 计算机科学 2014-10-23 Arko Provo Mukherjee , Pan Xu , Srikanta Tirthapura

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

社会与信息网络 · 计算机科学 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan