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Many empirical networks display an inherent tendency to cluster, i.e. to form circles of connected nodes. This feature is typically measured by the clustering coefficient (CC). The CC, originally introduced for binary, undirected graphs,…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo

Arbitrary varying channels (AVC) are used to model communication settings in which a channel state may vary arbitrarily over time. Their primary objective is to circumvent statistical assumptions on channel variation. Traditional studies on…

Information Theory · Computer Science 2024-07-04 Michael Langberg , Oron Sabag

To interpret deep models' predictions, attention-based visual cues are widely used in addressing \textit{why} deep models make such predictions. Beyond that, the current research community becomes more interested in reasoning \textit{how}…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Wenxiao Xiao , Zhengming Ding , Hongfu Liu

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

Prediction tasks over nodes and edges in networks require careful effort in engineering features used by learning algorithms. Recent research in the broader field of representation learning has led to significant progress in automating…

Social and Information Networks · Computer Science 2016-07-05 Aditya Grover , Jure Leskovec

Global variational approximation methods in graphical models allow efficient approximate inference of complex posterior distributions by using a simpler model. The choice of the approximating model determines a tradeoff between the…

Artificial Intelligence · Computer Science 2013-01-14 Tal El-Hay , Nir Friedman

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

Discrete Mathematics · Computer Science 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Modeling spillover effects from observational data is an important problem in economics, business, and other fields of research. % It helps us infer the causality between two seemingly unrelated set of events. For example, if consumer…

Machine Learning · Computer Science 2018-10-04 Vineeth Rakesh , Ruocheng Guo , Raha Moraffah , Nitin Agarwal , Huan Liu

Statistical learning theory chiefly studies restricted hypothesis classes, particularly those with finite Vapnik-Chervonenkis (VC) dimension. The fundamental quantity of interest is the sample complexity: the number of samples required to…

Machine Learning · Computer Science 2008-07-10 David Soloveichik

The inference of outcomes in dynamic processes from structural features of systems is a crucial endeavor in network science. Recent research has suggested a machine learning-based approach for the interpretation of dynamic patterns emerging…

Physics and Society · Physics 2022-11-15 Aruane M. Pineda , Caroline L. Alves , Colm Connaughton , Francisco A. Rodrigues

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

In this paper, the problem of distributed state estimation of human-driven vehicles (HDVs) by connected autonomous vehicles (CAVs) is investigated in mixed traffic transportation systems. Toward this, a distributed observable state-space…

Systems and Control · Electrical Eng. & Systems 2025-11-11 M. Doostmohammadian , U. A. Khan , N. Meskin

Graphs are ubiquitous data structures for representing interactions between entities. With an emphasis on the use of graphs to represent chemical molecules, we explore the task of learning to generate graphs that conform to a distribution…

Machine Learning · Computer Science 2019-03-08 Qi Liu , Miltiadis Allamanis , Marc Brockschmidt , Alexander L. Gaunt

Variational autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to interpret or control. We consider the problem of…

Machine Learning · Computer Science 2018-12-18 Jack Klys , Jake Snell , Richard Zemel

Sequences of correlated binary patterns can represent many time-series data including text, movies, and biological signals. These patterns may be described by weighted combinations of a few dominant structures that underpin specific…

Machine Learning · Statistics 2019-03-29 Jimmy Gaudreault , Arunabh Saxena , Hideaki Shimazaki

Cross-validation (CV) is widely used for tuning a model with respect to user-selected parameters and for selecting a "best" model. For example, the method of $k$-nearest neighbors requires the user to choose $k$, the number of neighbors,…

Applications · Statistics 2012-03-01 Hui Shen , William J. Welch , Jacqueline M. Hughes-Oliver

This paper proposes an interpretable non-model sharing collaborative data analysis method as one of the federated learning systems, which is an emerging technology to analyze distributed data. Analyzing distributed data is essential in many…

Machine Learning · Computer Science 2020-11-10 Akira Imakura , Hiroaki Inaba , Yukihiko Okada , Tetsuya Sakurai

Various coarse-grained models have been proposed to study the spreading dynamics in the network. A microscopic theory is needed to connect the spreading dynamics with the individual behaviors. In this letter, we unify the description of…

Statistical Mechanics · Physics 2021-04-14 Jin-Fu Chen , Yi-Mu Du , Hui Dong , Chang-Pu Sun

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

We study the problem of estimating a temporally varying coefficient and varying structure (VCVS) graphical model underlying nonstationary time series data, such as social states of interacting individuals or microarray expression profiles…

Machine Learning · Statistics 2010-12-21 Mladen Kolar , Eric P. Xing