Search Results for author: Do Young Eun

Found 9 papers, 1 papers with code

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

no code implementations29 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?

Accelerating Distributed Stochastic Optimization via Self-Repellent Random Walks

no code implementations18 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.

Stochastic Optimization

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

no code implementations17 Jan 2024 Jie Hu, Vishwaraj Doshi, Do Young Eun

Two-timescale stochastic approximation (TTSA) is among the most general frameworks for iterative stochastic algorithms.

Stochastic Optimization

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

no code implementations8 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.

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

no code implementations11 Oct 2022 Vishwaraj Doshi, Shailaja Mallick, Do Young Eun

We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type.

Efficiency Ordering of Stochastic Gradient Descent

no code implementations15 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.

Stochastic Optimization

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

no code implementations15 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.

Competing Epidemics on Graphs -- Global Convergence and Coexistence

no code implementations22 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.

Beyond Random Walk and Metropolis-Hastings Samplers: Why You Should Not Backtrack for Unbiased Graph Sampling

1 code implementation18 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

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