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In recent years, political economists, financial economists, and other social scientists have introduced spin and lattice models into their theoretical tool kit. To this end, the modeling skills of hard scientists may be of assistance. This…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Kenton K. Yee

The models VAR, ARIMA, Holt-Winters, are frequently used for short-term forecasts of multivariate time series. In this paper we consider models constructed with the help of dynamical systems that have relatively simple limiting behavior.…

Dynamical Systems · Mathematics 2020-01-29 Victoria Rayskin

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is…

Statistical Mechanics · Physics 2009-11-10 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

Modern data science applications often involve complex relational data with dynamic structures. An abrupt change in such dynamic relational data is typically observed in systems that undergo regime changes due to interventions. In such a…

Methodology · Statistics 2024-07-16 Peng Zhao , Anirban Bhattacharya , Debdeep Pati , Bani K. Mallick

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

The diffusion of opinions in Social Networks is a relevant process for adopting positions and attracting potential voters in political campaigns. Opinion polarization, bias, targeted diffusion, and the radicalization of postures are key…

Physics and Society · Physics 2022-01-10 Didier A. Vega-Oliveros , Helder L. C. Grande , Flavio Iannelli , Federico Vazquez

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

Methodology · Statistics 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

We develop a pseudo maximum likelihood method for latent factor analysis in short panels without imposing sphericity nor Gaussianity. We derive an asymptotically uniformly most powerful invariant test for the number of factors. On a large…

Econometrics · Economics 2025-10-30 Alain-Philippe Fortin , Patrick Gagliardini , Olivier Scaillet

Session based recommendation provides an attractive alternative to the traditional feature engineering approach to recommendation. Feature engineering approaches require hand tuned features of the users history to be created to produce a…

Information Retrieval · Computer Science 2019-09-18 David Rohde , Stephen Bonner

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

Synthetic data is a useful resource for algorithmic research. It allows for the evaluation of systems under a range of conditions that might be difficult to achieve in real world settings. In recommender systems, the use of synthetic data…

Information Retrieval · Computer Science 2024-09-24 Elena Stefancova , Cassidy All , Joshua Paup , Martin Homola , Nicholas Mattei , Robin Burke

Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics. We can gain insight into these systems by decomposing the data into segments…

Bots have become increasingly prevalent in the digital sphere and have taken up a proactive role in shaping democratic processes. While previous studies have focused on their influence at the individual level, their potential macro-level…

Computers and Society · Computer Science 2024-05-30 Beril Bulat , Martin Hilbert

Spatial voting models of legislators' preferences are used in political science to test theories about their voting behavior. These models posit that legislators' ideologies as well as the ideologies reflected in votes for and against a…

Applications · Statistics 2024-02-27 Erin Lipman , Scott Moser , Abel Rodriguez

This paper presents a machine learning approach to multidimensional item response theory (MIRT), a class of latent factor models that can be used to model and predict student performance from observed assessment data. Inspired by…

Machine Learning · Statistics 2025-01-08 Yoav Bergner , Peter F. Halpin , Jill-Jênn Vie

Using tools from computable analysis we develop a notion of effectiveness for general dynamical systems as those group actions on arbitrary spaces that contain a computable representative in their topological conjugacy class. Most natural…

Dynamical Systems · Mathematics 2024-09-16 Sebastián Barbieri , Nicanor Carrasco-Vargas , Cristóbal Rojas

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

Machine Learning · Statistics 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

Understanding the activity of large populations of neurons is difficult due to the combinatorial complexity of possible cell-cell interactions. To reduce the complexity, coarse-graining had been previously applied to experimental neural…

Neurons and Cognition · Quantitative Biology 2021-03-24 Mia C. Morrell , Audrey J. Sederberg , Ilya Nemenman

We introduce a class of Bayesian matrix dynamic factor models that accommodates time-varying volatility, outliers, and cross-sectional correlation in the idiosyncratic components. For model comparison, we employ an importance-sampling…

Econometrics · Economics 2025-08-11 Wei Zhang
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