no code implementations • 29 Mar 2024 • 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?
no code implementations • 18 Jan 2024 • 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.
no code implementations • 17 Jan 2024 • Jie Hu, Vishwaraj Doshi, Do Young Eun
Two-timescale stochastic approximation (TTSA) is among the most general frameworks for iterative stochastic algorithms.
no code implementations • 8 May 2023 • 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 topology via sampling and neighborhood exploration in the form of Markov chain Monte Carlo (MCMC) procedures.
no code implementations • 11 Oct 2022 • Vishwaraj Doshi, Shailaja Mallick, Do Young Eun
We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type.
no code implementations • 15 Sep 2022 • 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 analyze it in the asymptotic sense.
no code implementations • 15 Sep 2022 • 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.
no code implementations • 22 Apr 2021 • 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 known \textit{Susceptible-Infected-Susceptible} ($SIS$) epidemic model in recent years.
1 code implementation • 18 Apr 2012 • Chul-Ho Lee, Xin Xu, Do Young Eun
In this paper, we propose non-backtracking random walk with re-weighting (NBRW-rw) and MH algorithm with delayed acceptance (MHDA) which are theoretically guaranteed to achieve, at almost no additional cost, not only unbiased graph sampling but also higher efficiency (smaller asymptotic variance of the resulting unbiased estimators) than the SRW-rw and the MH algorithm, respectively.
Methodology Data Structures and Algorithms Networking and Internet Architecture Social and Information Networks Data Analysis, Statistics and Probability Physics and Society