33 citations · 64 across the 23 of their papers we have counts for
26 papers
Cutoff profiles and boundary effects in the Togashi-Kaneko model of autocatalytic reactions with weak mutations
Yangrui Xiang, Wasiur R. KhudaBukhsh
We determine explicit bulk and worst-case total variation cutoff profiles for the configuration law of a two-species Togashi--Kaneko model with a fixed population of particles…
Kernel-based estimators for functional causal effects
Yordan P. Raykov, Hengrui Luo, Justin D. Strait +1
We propose causal effect estimators based on empirical Fréchet means and operator-valued kernels, tailored to functional data spaces. These methods address the challenges of high-d…
Including frameworks of public health ethics in computational modelling of infectious disease interventions
Alexander E. Zarebski, Nefel Tellioglu, Jessica E. Stockdale +4
Decisions on public health interventions to control infectious disease are often informed by computational models. Interpreting the predicted outcomes of a public health decision r…
Mixing time for an epidemic model on graphs with external sources of infection
Wasiur R. KhudaBukhsh, Yangrui Xiang
We study the mixing time of a Susceptible--Infected--Susceptible (SIS) model on graphs with external sources of infection, which we refer to as the noisy SIS model. Under suitable…
Stochastic Analysis of Entanglement-assisted Quantum Communication Channels
Karim S. Elsayed, Olga Izyumtseva, Wasiur R. KhudaBukhsh +1
We present a queueing model for a quantum communication network consisting of a primary queue and a service queue in which Bell pairs are formed and stored. The Bell pairs are inhe…
Model-based clustering of time-dependent observations with common structural changes
Riccardo Corradin, Luca Danese, Wasiur R. KhudaBukhsh +1
We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural change…
Local times of self-intersection and sample path properties of Volterra Gaussian processes
Olga Izyumtseva, Wasiur R. KhudaBukhsh
We study a Volterra Gaussian process of the form where is a Wiener process and is a continuous kernel. In dimension one, we prove a law of the…
Statistical inference for a multiscale stochastic model of enzyme kinetics via propagation of chaos
Arnab Ganguly, Wasiur R. KhudaBukhsh
We study a class of Stochastic Differential Equations (SDEs) with jumps modeling multistage Michaelis--Menten enzyme kinetics, in which a substrate is sequentially transformed into…
On the Fidelity Distribution of Link-level Entanglements under Purification
Karim Elsayed, Wasiur R. KhudaBukhsh, Amr Rizk
Quantum entanglement is the key to quantum communications over considerable distances. The first step for entanglement distribution among quantum communication nodes is to generate…
Towards inferring network properties from epidemic data
István Z. Kiss, Luc Berthouze, Wasiur R. KhudaBukhsh
Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to bot…
Likelihood-Free Dynamical Survival Analysis Applied to the COVID-19 Epidemic in Ohio
Colin Klaus, Matthew Wascher, Wasiur R. KhudaBukhsh +1
The Dynamical Survival Analysis (DSA) is a framework for modeling epidemics based on mean field dynamics applied to individual (agent) level history of infection and recovery. Rece…
Hypergraphon Mean Field Games
Kai Cui, Wasiur R. KhudaBukhsh, Heinz Koeppl
We propose an approach to modelling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and th…
Dynamic Survival Analysis for non-Markovian Epidemic Models
Francesco Di Lauro, Wasiur R. KhudaBukhsh, Istvan Z. Kiss +3
We present a new method for analyzing stochastic epidemic models under minimal assumptions. The method, dubbed DSA, is based on a simple yet powerful observation, namely that popul…
Motif-based mean-field approximation of interacting particles on clustered networks
Kai Cui, Wasiur R. KhudaBukhsh, Heinz Koeppl
Interacting particles on graphs are routinely used to study magnetic behaviour in physics, disease spread in epidemiology, and opinion dynamics in social sciences. The literature o…
A Machine Learning Model for Nowcasting Epidemic Incidence
Saumya Yashmohini Sahai, Saket Gurukar, Wasiur R. KhudaBukhsh +2
Due to delay in reporting, the daily national and statewide COVID-19 incidence counts are often unreliable and need to be estimated from recent data. This process is known in econo…
Incorporating age and delay into models for biophysical systems
Wasiur R. KhudaBukhsh, Hye-Won Kang, Eben Kenah +1
In many biological systems, chemical reactions or changes in a physical state are assumed to occur instantaneously. For describing the dynamics of those systems, Markov models that…
Survival Dynamical Systems for the Population-level Analysis of Epidemics
Wasiur R. KhudaBukhsh, Boseung Choi, Eben Kenah +1
Motivated by the classical Susceptible-Infected-Recovered (SIR) epidemic models proposed by Kermack and Mckendrick, we consider a class of stochastic compartmental dynamical system…
A Comprehensive Analysis of Swarming-based Live Streaming to Leverage Client Heterogeneity
Wasiur R. KhudaBukhsh, Julius Rückert, Julian Wulfheide +2
Due to missing IP multicast support on an Internet scale, over-the-top media streams are delivered with the help of overlays as used by content delivery networks and their peer-to-…
Bounds on the spectral radius of real-valued non-negative Kernels on measurable spaces
Wasiur R. KhudaBukhsh, Mark Sinzger, Heinz Koeppl
In this short technical note, we extend a recently published result [Liao2017] on the Perron root (or the spectral radius) of non-negative matrices to real-valued non-negative kern…
Approximate lumpability for Markovian agent-based models using local symmetries
Wasiur R. KhudaBukhsh, Arnab Auddy, Yann Disser +1
We study a Markovian agent-based model (MABM) in this paper. Each agent is endowed with a local state that changes over time as the agent interacts with its neighbours. The neighbo…
Collaborative Uploading in Heterogeneous Networks: Optimal and Adaptive Strategies
Wasiur R. KhudaBukhsh, Bastian Alt, Sounak Kar +2
Collaborative uploading describes a type of crowdsourcing scenario in networked environments where a device utilizes multiple paths over neighboring devices to upload content to a…
Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics
Hye-Won Kang, Wasiur R. KhudaBukhsh, Heinz Koeppl +1
In this paper we derive several quasi steady-state approximations (QSSAs) to the stochastic reaction network describing the Michaelis-Menten enzyme kinetics. We show how the differ…
Functional Central Limit Theorem For Susceptible-Infected Process On Configuration Model Graphs
Wasiur R. KhudaBukhsh, Casper Woroszylo, Grzegorz A. Rempała +1
We study a stochastic compartmental susceptible-infected (SI) epidemic process on a configuration model random graph with a given degree distribution over a finite time interval $[…
A Generalized Performance Evaluation Framework for Parallel Systems with Output Synchronization
Wasiur R. KhudaBukhsh, Sounak Kar, Amr Rizk +1
Frameworks, such as MapReduce and Hadoop are abundant nowadays. They seek to reap benefits of parallelization, albeit subject to a synchronization constraint at the output. Fork-Jo…