24 citations · 71 across the 21 of their papers we have counts for
24 papers
Safety Verification of Stochastic Systems: A Set-Erosion Approach
Zishun Liu, Saber Jafarpour, Yongxin Chen
We study the safety verification problem for discrete-time stochastic systems. We propose an approach for safety verification termed set-erosion strategy that verifies the safety o…
Probabilistic Reachability Analysis of Stochastic Control Systems
Saber Jafarpour, Zishun Liu, Yongxin Chen
We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynami…
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems
Alexis M. H. Teter, Yongxin Chen, Abhishek Halder
Schrödinger bridge is a stochastic optimal control problem to steer a given initial state density to another, subject to controlled diffusion and deadline constraints. A popular me…
Mean field type control with species dependent dynamics via structured tensor optimization
Axel Ringh, Isabel Haasler, Yongxin Chen +1
In this work we consider mean field type control problems with multiple species that have different dynamics. We formulate the discretized problem using a new type of entropy-regul…
Data-Driven Convex Approach to Off-road Navigation via Linear Transfer Operators
Joseph Moyalan, Yongxin Chen, Umesh Vaidya
We consider the problem of optimal navigation control design for navigation on off-road terrain. We use traversability measure to characterize the degree of difficulty of navigatio…
A Gaussian variational inference approach to motion planning
Hongzhe Yu, Yongxin Chen
We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of…
Geometry of finite-time thermodynamic cycles with anisotropic thermal fluctuations
Olga Movilla Miangolarra, Amirhossein Taghvaei, Yongxin Chen +1
In contrast to the classical concept of a Carnot engine that alternates contact between heat baths of different temperatures, naturally occurring processes usually harvest energy f…
Density control of interacting agent systems
Yongxin Chen
We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have id…
On the relation between information and power in stochastic thermodynamic engines
Amirhossein Taghvaei, Olga Movilla Miangolarra, Rui Fu +2
The common saying, that information is power, takes a rigorous form in stochastic thermodynamics, where a quantitative equivalence between the two helps explain the paradox of Maxw…
On Spectral Properties of Signed Laplacians with Connections to Eventual Positivity
Wei Chen, Dan Wang, Ji Liu +5
Signed graphs have appeared in a broad variety of applications, ranging from social networks to biological networks, from distributed control and computation to power systems. In t…
Incremental inference of collective graphical models
Rahul Singh, Isabel Haasler, Qinsheng Zhang +2
We consider incremental inference problems from aggregate data for collective dynamics. In particular, we address the problem of estimating the aggregate marginals of a Markov chai…
Multi-marginal optimal transport and probabilistic graphical models
Isabel Haasler, Rahul Singh, Qinsheng Zhang +2
We study multi-marginal optimal transport problems from a probabilistic graphical model perspective. We point out an elegant connection between the two when the underlying cost for…
Regularized transport between singular covariance matrices
Valentina Ciccone, Yongxin Chen, Tryphon T. Georgiou +1
We consider the problem of steering a linear stochastic system between two end-point degenerate Gaussian distributions in finite time. This accounts for those situations in which s…
Macroscopic network circulation for planar graphs
Fariba Ariaei, Zahra Askarzadeh, Yongxin Chen +1
The analysis of networks, aimed at suitably defined functionality, often focuses on partitions into subnetworks that capture desired features. Chief among the relevant concepts is…
Stochastic control and non-equilibrium thermodynamics: fundamental limits
Yongxin Chen, Tryphon Georgiou, Allen Tannenbaum
We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the…
State tracking of linear ensembles via optimal mass transport
Yongxin Chen, Johan Karlsson
We consider the problems of tracking an ensemble of indistinguishable agents with linear dynamics based only on output measurements. In this setting, the dynamics of the agents can…
Relaxed Schroedinger bridges and robust network routing
Yongxin Chen, Tryphon Georgiou, Michele Pavon +1
We consider network routing under random link failures with a desired final distribution. We provide a mathematical formulation of a relaxed transport problem where the final distr…
Stability Theory of Stochastic Models in Opinion Dynamics
Zahra Askarzadeh, Rui Fu, Abhishek Halder +2
We consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, that are inspired by the DeGroot-Friedkin model of belief/opinion propag…
Matricial Wasserstein-1 Distance
Yongxin Chen, Tryphon T. Georgiou, Lipeng Ning +1
In this note, we propose an extension of the Wasserstein 1-metric () for matrix probability densities, matrix-valued density measures, and an unbalanced interpretation of mass…
Efficient-robust routing for single commodity network flows
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon +1
We study single commodity network flows with suitable robustness and efficiency specs. An original use of a maximum entropy problem for distributions on the paths of the graph turn…
Regularization and Interpolation of Positive Matrices
Kaoru Yamamoto, Yongxin Chen, Lipeng Ning +2
We consider certain matricial analogues of optimal mass transport of positive definite matrices of equal trace. The framework is motivated by the need to devise a suitable geometry…
Matrix Optimal Mass Transport: A Quantum Mechanical Approach
Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum
In this paper, we describe a possible generalization of the Wasserstein 2-metric, originally defined on the space of scalar probability densities, to the space of Hermitian matrice…
Optimal steering of a linear stochastic system to a final probability distribution, Part III
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
The subject of this work has its roots in the so called Schroedginer Bridge Problem (SBP) which asks for the most likely distribution of Brownian particles in their passage between…
The role of the time-arrow in mean-square estimation of stochastic processes
Yongxin Chen, Johan Karlsson, Tryphon T. Georgiou
The purpose of this paper is to explain a certain dichotomy between the information that the past and future values of a multivariate stochastic process carry about the present. Mo…