activity
20202024
most citedCompeting Epidemics on Graphs -- Global Convergence and Coexistence

9 citations · 16 across the 11 of their papers we have counts for

collaborators

11 papers

eess.SY2024

Keeping Up With the Winner! Targeted Advertisement to Communities in Social Networks

Shailaja Mallick, Vishwaraj Doshi, Do Young Eun

When a new product enters a market already dominated by an existing product, will it survive along with this dominant product? Most of the existing works have shown the coexistence…

stat.ML2024

Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applications

Jie Hu, Vishwaraj Doshi, Do Young Eun

Two-timescale stochastic approximation (TTSA) is among the most general frameworks for iterative stochastic algorithms. This includes well-known stochastic optimization methods suc…

math.PR2024★ 1 cited

Accelerating Distributed Stochastic Optimization via Self-Repellent Random Walks

Jie Hu, Vishwaraj Doshi, Do Young Eun

We study a family of distributed stochastic optimization algorithms where gradients are sampled by a token traversing a network of agents in random-walk fashion. Typically, these r…

math.PR2023

Self-Repellent Random Walks on General Graphs -- Achieving Minimal Sampling Variance via Nonlinear Markov Chains

Vishwaraj Doshi, Jie Hu, Do Young Eun

We consider random walks on discrete state spaces, such as general undirected graphs, where the random walkers are designed to approximate a target quantity over the network topolo…

eess.SY2022

Convergence of Bi-Virus Epidemic Models with Non-Linear Rates on Networks -- A Monotone Dynamical Systems Approach

Vishwaraj Doshi, Shailaja Mallick, Do Young eun

We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type. The SIS epidemic model has seen widespread popularity in modelling…

math.OC2022★ 1 cited

Minimizing File Transfer Time in Opportunistic Spectrum Access Model

Jie Hu, Vishwaraj Doshi, Do Young Eun

We study the file transfer problem in opportunistic spectrum access (OSA) model, which has been widely studied in throughput-oriented applications for max-throughput strategies and…

cs.LG2022★ 2 cited

Efficiency Ordering of Stochastic Gradient Descent

Jie Hu, Vishwaraj Doshi, Do Young Eun

We consider the stochastic gradient descent (SGD) algorithm driven by a general stochastic sequence, including i.i.d noise and random walk on an arbitrary graph, among others; and…

eess.SY2022

Bi-SIS Epidemics on Graphs -- Quantitative Analysis of Coexistence Equilibria

Vishwaraj Doshi, Jie Hu, Do Young Eun

We consider a system in which two viruses of the Susceptible-Infected-Susceptible (SIS) type compete over general, overlaid graphs. While such systems have been the focus of many r…

math.OC2021★ 1 cited

Opportunistic Spectrum Access: Does Maximizing Throughput Minimize File Transfer Time?

Jie Hu, Vishwaraj Doshi, Do Young Eun

The Opportunistic Spectrum Access (OSA) model has been developed for the secondary users (SUs) to exploit the stochastic dynamics of licensed channels for file transfer in an oppor…

eess.SY2021★ 9 cited

Competing Epidemics on Graphs -- Global Convergence and Coexistence

Vishwaraj Doshi, Shailaja Mallick, Do Young Eun

The dynamics of the spread of contagions such as viruses, infectious diseases or even rumors/opinions over contact networks (graphs) have effectively been captured by the well know…

math.PR2020★ 2 cited

Fiedler Vector Approximation via Interacting Random Walks

Vishwaraj Doshi, Do Young Eun

The Fiedler vector of a graph, namely the eigenvector corresponding to the second smallest eigenvalue of a graph Laplacian matrix, plays an important role in spectral graph theory…