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We review the class of continuous latent space (statistical) models for network data, paying particular attention to the role of the geometry of the latent space. In these models, the presence/absence of network dyadic ties are assumed to…

Methodology · Statistics 2019-03-27 Anna L. Smith , Dena M. Asta , Catherine A. Calder

We study dynamics of scalar fields on a large class of geometries described by integrable sigma models. Although equations of motion are not separable due to absence of isometries and Killing tensors, we completely determine the spectra…

High Energy Physics - Theory · Physics 2018-12-26 Oleg Lunin , Wukongjiaozi Tian

In this chapter, we present a review of latent position models for networks. We review the recent literature in this area and illustrate the basic aspects and properties of this modeling framework. Through several illustrative examples we…

Methodology · Statistics 2023-04-07 Hardeep Kaur , Riccardo Rastelli , Nial Friel , Adrian E. Raftery

The topic of this paper is the presentation of a new network model designed for networks consisting of spatial objects. This model allows the development of more advance representations of systems of networked objects and the study of…

Data Structures and Algorithms · Computer Science 2021-12-14 Panteleimon Rodis

The aim of this paper is to propose a 2D computational algorithm for modeling of the trigger and the propagation of shallow landslides caused by rainfall. We used a Molecular Dynamics (MD) inspired model, similar to discrete element method…

Geophysics · Physics 2015-06-11 Gianluca Martelloni , Franco Bagnoli , Emanuele Massaro

Despite the significant recent progress in deep generative models, the underlying structure of their latent spaces is still poorly understood, thereby making the task of performing semantically meaningful latent traversals an open research…

Machine Learning · Computer Science 2023-07-04 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

This paper is focused on soil subsidence of small extend and amplitude caused by tunnel boring or the collapse of underground cavities, whether natural or man-made. The impact of the movements of the ground on existing structures is…

Geophysics · Physics 2008-10-30 Matthieu Caudron , Marwan Al Heib , Fabrice Emeriault

Local Intrinsic Dimensionality (LID) has shown strong potential for identifying anomalies and outliers in high-dimensional data across a wide range of real-world applications, including landslide failure detection in granular media. Early…

Machine Learning · Computer Science 2026-01-19 Yuansan Liu , Antoinette Tordesillas , James Bailey

"Ground effect" refers to the enhanced performance enjoyed by fliers or swimmers operating close to the ground. We derive a number of exact solutions for this phenomenon, thereby elucidating the underlying physical mechanisms involved in…

Fluid Dynamics · Physics 2020-03-25 Peter J. Baddoo , Melike Kurt , Lorna J. Ayton , Keith W. Moored

Earthquakes cause catastrophic damage to buildings and loss of human life. Civil engineers across the globe design earthquake-resistant buildings to minimize this damage. Conventionally, the structures are designed to resist the…

Models for what may lie behind the Standard Model often require non-perturbative calculations in strongly coupled field theory. This creates opportunities for lattice methods, to obtain quantities of phenomenological interest as well as to…

High Energy Physics - Lattice · Physics 2018-06-19 Benjamin Svetitsky

Accurate slope stability analysis of earth embankments under ground shaking is of great importance for practical use in earthquake geotechnics. This study aims to predict soil slope displacements of earth embankments subjected to earthquake…

Computational Engineering, Finance, and Science · Computer Science 2025-04-11 Jin Zhenyang , Sanglin Zhao , Fan Siyu , Javdanian Hamed

Human mobility patterns are complex and distinct from one person to another. Nevertheless, motivated by tremendous potential benefits of modeling such patterns in enabling new mobile services and technologies, researchers have attempted to…

Networking and Internet Architecture · Computer Science 2013-07-09 Seyed Kaveh Fayazbakhsh

Criteria for the incipient motion of a rigid body initially resting on a rigid surface are formulated from first principles in this work. A modified Coulomb friction model and an associated distribution of reaction forces are proposed.…

Geophysics · Physics 2007-05-23 S. J. Childs

We discuss a discrete-time model for motion of substance in a channel of a network. For the case of stationary motion of the substance and for the case of time-independent values of the parameters of the model we obtain a new class of…

Physics and Society · Physics 2018-07-25 Nikolay K. Vitanov , Kaloyan N. Vitanov

Many human social phenomena, such as cooperation, the growth of settlements, traffic dynamics and pedestrian movement, appear to be accessible to mathematical descriptions that invoke self-organization. Here we develop a model of pedestrian…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing , Joachim Keltsch , Peter Molnar

We use a simple model to extend network models for activated dynamics to a continuous landscape with a well-defined notion of distance and a direct connection to many-body systems. The model consists of a tracer in a high-dimensional funnel…

Disordered Systems and Neural Networks · Physics 2020-05-13 Matthew R. Carbone , Valerio Astuti , Marco Baity-Jesi

This study tries to develop new attenuation relationships of peak ground velocity using machine learning methods; random forest and neural network. In order to compare with the predictors obtained by machine learning, we have also…

Geophysics · Physics 2021-11-02 Junjie Wu , Yoshihisa Maruyama , Wen Liu

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari