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Higher-order networks, naturally described as hypergraphs, are essential for modeling real-world systems involving interactions among three or more entities. Stochastic block models offer a principled framework for characterizing mesoscale…

Social and Information Networks · Computer Science 2025-11-27 Kazuki Nakajima , Yuya Sasaki , Takeaki Uno , Masaki Aida

In complex systems, the network of interactions we observe between system's components is the aggregate of the interactions that occur through different mechanisms or layers. Recent studies reveal that the existence of multiple interaction…

Physics and Society · Physics 2016-04-06 Toni Valles-Catala , Francesco A. Massucci , Roger Guimera , Marta Sales-Pardo

We review a body of recent work by the author and collaborators on controlling the spatial organisation of large agent populations across multiple scales. A central theme is the systematic bridging of microscopic agent-level dynamics and…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Mario di Bernardo

We show that scaling arguments are very useful to analyze the dynamics of periodically modulated noisy systems. Information about the behavior of the relevant quantities, such as the signal-to-noise ratio, upon variations of the noise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Datasets are growing not just in size but in complexity, creating a demand for rich models and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but scaling Bayesian inference is a challenge. In response…

Machine Learning · Statistics 2016-03-23 Elaine Angelino , Matthew James Johnson , Ryan P. Adams

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

Large-scale multi-relational embedding refers to the task of learning the latent representations for entities and relations in large knowledge graphs. An effective and scalable solution for this problem is crucial for the true success of…

Machine Learning · Computer Science 2017-07-07 Hanxiao Liu , Yuexin Wu , Yiming Yang

Measurement is a fundamental building block of numerous scientific models and their creation. This is in particular true for data driven science. Due to the high complexity and size of modern data sets, the necessity for the development of…

Artificial Intelligence · Computer Science 2022-04-26 Tom Hanika , Johannes Hirth

This paper proposes a strategic multi layers model based on multi agents approach for supply chain system. It introduces a formulation and a solution methodology for the problem of supply chain design and modeling. In this paper we describe…

Multiagent Systems · Computer Science 2018-11-01 Samia Chehbi-Gamoura , Yacine Ouzrout , Abdelaziz Bouras

Many complex systems can be represented as networks composed by distinct layers, interacting and depending on each others. For example, in biology, a good description of the full protein-protein interactome requires, for some organisms, up…

Physics and Society · Physics 2015-04-24 M. De Domenico , V. Nicosia , A. Arenas , V. Latora

Covering model provides a general framework for granular computing in that overlapping among granules are almost indispensable. For any given covering, both intersection and union of covering blocks containing an element are exploited as…

Artificial Intelligence · Computer Science 2011-12-08 Wan-Li Chen

There is a lack of formalism for some key foundational concepts in systems engineering. One of the most recently acknowledged deficits is the inadequacy of systems engineering practices for engineering intelligent systems. In our previous…

Artificial Intelligence · Computer Science 2024-09-21 Niloofar Shadab , Tyler Cody , Alejandro Salado , Peter Beling

Many materials, processes, and structures in science and engineering have important features at multiple scales of time and/or space; examples include biological tissues, active matter, oceans, networks, and images. Explicitly extracting,…

Fluid Dynamics · Physics 2021-01-12 Daniel Floryan , Michael D. Graham

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters

Model uncertainties and simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms or scales are not represented (i.e., "unresolved") due to lack in our understanding of these mechanisms or…

Dynamical Systems · Mathematics 2008-11-25 Jinqiao Duan

Higher-order networks are widely used to describe complex systems in which interactions can involve more than two entities at once. In this paper, we focus on inclusion within higher-order networks, referring to situations where specific…

Physics and Society · Physics 2025-07-22 Nicholas W. Landry , Jean-Gabriel Young , Nicole Eikmeier

Recommender systems are the algorithms which select, filter, and personalize content across many of the worlds largest platforms and apps. As such, their positive and negative effects on individuals and on societies have been extensively…

Today's robots are increasingly interacting with people and need to efficiently learn inexperienced user's preferences. A common framework is to iteratively query the user about which of two presented robot trajectories they prefer. While…

Robotics · Computer Science 2021-10-04 Nils Wilde , Erdem Bıyık , Dorsa Sadigh , Stephen L. Smith

Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee