146 citations · 302 across the 8 of their papers we have counts for
8 papers
Estimation of Conditional Random Coefficient Models using Machine Learning Techniques
Stephan Martin
Nonparametric random coefficient (RC)-density estimation has mostly been considered in the marginal density case under strict independence of RCs and covariates. This paper deals w…
Nonclassical Measurement Error in the Outcome Variable
Christoph Breunig, Stephan Martin
We study a semi-/nonparametric regression model with a general form of nonclassical measurement error in the outcome variable. We show equivalence of this model to a generalized re…
Mean Field Limit of a Behavioral Financial Market Model
Torsten Trimborn, Martin Frank, Stephan Martin
In the past decade there has been a growing interest in agent-based econophysical financial market models. The goal of these models is to gain further insights into stylized facts…
A consensus-based model for global optimization and its mean-field limit
René Pinnau, Claudia Totzeck, Oliver Tse +1
We introduce a novel first-order stochastic swarm intelligence (SI) model in the spirit of consensus formation models, namely a consensus-based optimization (CBO) algorithm, which…
A local version of the Hughes model for pedestrian flow
José A. Carrillo, Stephan Martin, Marie-Therese Wolfram
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basi…
Nonlinear stability of flock solutions in second-order swarming models
J. A. Carrillo, Y. Huang, S. Martin
In this paper we consider interacting particle systems which are frequently used to model collective behavior in animal swarms and other applications. We study the stability of ori…
Explicit Flock Solutions for Quasi-Morse potentials
Jose Antonio Carrillo, Yanghong Huang, Stephan Martin
We consider interacting particle systems and their mean-field limits, which are frequently used to model collective aggregation and are known to demonstrate a rich variety of patte…
A new interaction potential for swarming models
J. A. Carrillo, S. Martin, V. Panferov
We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions betwe…