399 citations · 1.1k across the 26 of their papers we have counts for
26 papers
Diffusion-Based Posterior Sampling: A Feynman-Kac Analysis of Bias and Stability
Matias G. Delgadino, Sebastien Motsch, Advait Parulekar +2
Diffusion-based posterior samplers draw from measurement- or reward-conditioned posteriors using pretrained diffusion priors. Though widely used for inverse problems, their output…
EmDT: Embedding Diffusion Transformer for Tabular Data Generation in Fraud Detection
En-Ya Kuo, Sebastien Motsch
Imbalanced datasets pose a difficulty in fraud detection, as classifiers are often biased toward the majority class and perform poorly on rare fraudulent transactions. Synthetic da…
Wealth exchange under ceiling and flooring constraints: a modified Bennati-Dragulescu-Yakovenko model
Fei Cao, Sebastien Motsch, Wendy Garcia Umbarita
We investigate the classical Bennati-Dragulescu-Yakovenko (BDY) dollar exchange model introduced in \cite{dragulescu_statistical_2000} where the effects of wealth ceiling and wealt…
Generative diffusion models from a PDE perspective
Fei Cao, Kimball Johnston, Thomas Laurent +2
Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of th…
Doppelgänger Model: Emergence of polarization in opinion dynamics
Vince Campo, Sebastien Motsch, Dylan Weber
Over the past decade, contrary to the early popular expectation that large-scale discourse in online communities would foster greater consensus, the large-scale structure of online…
Sticky dispersion on the complete graph: a kinetic approach
Fei Cao, Sebastien Motsch
We study a variant of the dispersion process on the complete graph introduced in the recent work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to…
Uncovering a two-phase dynamics from a dollar exchange model with bank and debt
Fei Cao, Sébastien Motsch
We investigate the unbiased model for money exchanges with collective debt limit: agents give at random time a dollar to one another as long as they have at least one dollar or the…
Derivation of wealth distributions from biased exchange of money
Fei Cao, Sebastien Motsch
In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of…
Entropy dissipation and propagation of chaos for the uniform reshuffling model
Fei Cao, Pierre-Emmanuel Jabin, Sebastien Motsch
We investigate the uniform reshuffling model for money exchanges: two agents picked uniformly at random redistribute their dollars between them. This stochastic dynamics is of mean…
Bounded confidence dynamics and graph control: enforcing consensus
Dylan Weber, Sebastien Motsch, GuanLin Li
A generic feature of bounded confidence type models is the formation of clusters of agents. We propose and study a variant of bounded confidence dynamics with the goal of inducing…
Stochastic versus deterministic consensus dynamics on graphs
Dylan Weber, Ryan Theisen, Sebastien Motsch
We study two agent based models of opinion formation - one stochastic in nature and one deterministic. Both models are defined in terms of an underlying graph; we study how the str…
Kinetic equations and self-organized band formations
Quentin Griette, Sebastien Motsch
Self-organization is an ubiquitous phenomenon in nature which can be observed in a variety of different contexts and scales, with examples ranging from fish schools, swarms of bird…
Lesion segmentation using U-Net network
Adrien Motsch, Sebastien Motsch, Thibaut Saguet
This paper explains the method used in the segmentation challenge (Task 1) in the International Skin Imaging Collaboration's (ISIC) Skin Lesion Analysis Towards Melanoma Detection…
From short-range repulsion to Hele-Shaw problem in a model of tumor growth
Sebastien Motsch, Diane Peurichard
We investigate the large time behavior of an agent based model describing tumor growth. The microscopic model combines short-range repulsion and cell division. As the number of cel…
Damped Arrow-Hurwicz algorithm for sphere packing
Pierre Degond, Marina A. Ferreira, Sébastien Motsch
We consider algorithms that, from an arbitrarily sampling of spheres (possibly overlapping), find a close packed configuration without overlapping. These problems can be formul…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…
Heterophilious dynamics enhances consensus
Sebastien Motsch, Eitan Tadmor
We review a general class of models for self-organized dynamics based on alignment. The dynamics of such systems is governed solely by interactions among individuals or "agents," w…
Trail formation based on directed pheromone deposition
Emmanuel Boissard, Pierre Degond, Sébastien Motsch
We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromones and interact with them through align…
Hydrodynamic models of self-organized dynamics: derivation and existence theory
Pierre Degond, Jian-Guo Liu, Sébastien Motsch +1
This paper is concerned with the derivation and analysis of hydrodynamic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. T…
Two-way multi-lane traffic model for pedestrians in corridors
Cécile Appert-Rolland, Pierre Degond, Sébastien Motsch
We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the co…
A new model for self-organized dynamics and its flocking behavior
Sebastien Motsch, Eitan Tadmor
We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into…
A macroscopic model for a system of swarming agents using curvature control
Pierre Degond, Sébastien Motsch
In this paper, we study the macroscopic limit of a new model of collective displacement. The model, called PTWA, is a combination of the Vicsek alignment model and the Persistent T…
Numerical simulations of a non-conservative hyperbolic system with geometric constraints describing swarming behavior
Sebastien Motsch, Laurent Navoret
The Vicsek model is a very popular individual based model which describes collective behavior among animal societies. A macroscopic version of the Vicsek model has been derived fro…
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model
Patrick Cattiaux, Djalil Chafai, Sébastien Motsch
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of…