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A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

Computation · Statistics 2015-03-13 Sophie Donnet , Jean-Michel Marin

On the occasion of the 20th Mixed Integer Program Workshop's computational competition, this work introduces a new approach for learning to solve MIPs online. Influence branching, a new graph-oriented variable selection strategy, is applied…

Machine Learning · Computer Science 2025-10-07 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

Forecasting in probabilistic time series is a complex endeavor that extends beyond predicting future values to also quantifying the uncertainty inherent in these predictions. Gaussian process regression stands out as a Bayesian machine…

We develop a Gaussian process framework for learning interaction kernels in multi-species interacting particle systems from trajectory data. Such systems provide a canonical setting for multiscale modeling, where simple microscopic…

Machine Learning · Statistics 2025-11-05 Jinchao Feng , Charles Kulick , Sui Tang

A device called a 'Gaussian Boson Sampler' has initially been proposed as a near-term demonstration of classically intractable quantum computation. As recently shown, it can also be used to decide whether two graphs are isomorphic. Based on…

Quantum Physics · Physics 2020-03-18 Maria Schuld , Kamil Brádler , Robert Israel , Daiqin Su , Brajesh Gupt

Many machine learning techniques have been proposed in the last few years to process data represented in graph-structured form. Graphs can be used to model several scenarios, from molecules and materials to RNA secondary structures. Several…

Machine Learning · Computer Science 2018-11-19 Nicolò Navarin , Dinh V. Tran , Alessandro Sperduti

Influence maximization is a well-studied problem that asks for a small set of influential users from a social network, such that by targeting them as early adopters, the expected total adoption through influence cascades over the network is…

Social and Information Networks · Computer Science 2015-11-06 Wei Lu , Wei Chen , Laks V. S. Lakshmanan

In social networks, individuals' decisions are strongly influenced by recommendations from their friends and acquaintances. The influence maximization (IM) problem asks to select a seed set of users that maximizes the influence spread,…

Social and Information Networks · Computer Science 2020-08-21 Alessio Arleo , Walter Didimo , Giuseppe Liotta , Silvia Miksch , Fabrizio Montecchiani

Social networks have enabled user-specific advertisements and recommendations on their platforms, which puts a significant focus on Influence Maximisation (IM) for target advertising and related tasks. The aim is to identify nodes in the…

Social and Information Networks · Computer Science 2022-12-01 Inder Khatri , Aaryan Gupta , Arjun Choudhry , Aryan Tyagi , Dinesh Kumar Vishwakarma , Mukesh Prasad

Empirical data can often be considered as samples from a set of probability distributions. Kernel methods have emerged as a natural approach for learning to classify these distributions. Although numerous kernels between distributions have…

Machine Learning · Computer Science 2024-12-02 Oleksii Kachaiev , Stefano Recanatesi

Identification of critical nodes is a prominent topic in the study of complex networks. Numerous methods have been proposed, yet most exhibit inherent limitations. Traditional approaches primarily analyze specific structural features of the…

Social and Information Networks · Computer Science 2024-06-25 Hao Wang , Ting Luo , Shuang-ping Yang , Ming Jing , Jian Wang , Na Zhao

Kernel selection plays a central role in determining the performance of Gaussian Process (GP) models, as the chosen kernel determines both the inductive biases and prior support of functions under the GP prior. This work addresses the…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Ian Davies , Vidhi Lalchand , Alessandro Vullo , Nicolas Durrande , Carl Rasmussen

Causal discovery is a fundamental problem with applications spanning various areas in science and engineering. It is well understood that solely using observational data, one can only orient the causal graph up to its Markov equivalence…

Machine Learning · Computer Science 2024-10-29 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

Multiplex influence maximization (MIM) asks us to identify a set of seed users such as to maximize the expected number of influenced users in a multiplex network. MIM has been one of central research topics, especially in nowadays social…

Social and Information Networks · Computer Science 2024-03-12 Nguyen Do , Tanmoy Chowdhury , Chen Ling , Liang Zhao , My T. Thai

Influence maximization is a widely studied topic in network science, where the aim is to reach the maximum possible number of nodes, while only targeting a small initial set of individuals. It has critical applications in many fields,…

We study ensemble-based graph-theoretical methods aiming to approximate the size of the minimum dominating set (MDS) in scale-free networks. We analyze both analytical upper bounds of dominating sets and numerical realizations for…

Physics and Society · Physics 2014-09-23 F. Molnár , N. Derzsy , É. Czabarka , L. Székely , B. K. Szymanski , G. Korniss

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

Methodology · Statistics 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

Machine Learning · Computer Science 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

The increasing availability of graph-structured data motivates the task of optimising over functions defined on the node set of graphs. Traditional graph search algorithms can be applied in this case, but they may be sample-inefficient and…

Machine Learning · Computer Science 2023-10-31 Xingchen Wan , Pierre Osselin , Henry Kenlay , Binxin Ru , Michael A. Osborne , Xiaowen Dong

The Influence Maximization (IM) problem aims at finding k seed vertices in a network, starting from which influence can be spread in the network to the maximum extent. In this paper, we propose QuickIM, the first versatile IM algorithm that…

Social and Information Networks · Computer Science 2018-06-01 Rong Zhu , Zhaonian Zou , Yue Han , Sheng Yang , Jianzhong Li