2 citations · 5 across the 8 of their papers we have counts for
14 papers
A Dual-AoI-based Approach for Optimal Transmission Scheduling in Wireless Monitoring Systems with Random Data Arrivals
Yuchong Zhang, Yi Cao, Xianghui Cao
In Internet of Things (IoTs), the freshness of system status information is crucial for real-time monitoring and decision-making. This paper studies the transmission scheduling pro…
GANs as Gradient Flows that Converge
Yu-Jui Huang, Yuchong Zhang
This paper approaches the unsupervised learning problem by gradient descent in the space of probability density functions. A main result shows that along the gradient flow induced…
Mean Field Contest with Singularity
Marcel Nutz, Yuchong Zhang
We formulate a mean field game where each player stops a privately observed Brownian motion with absorption. Players are ranked according to their level of stopping and rewarded as…
Reward Design in Risk-Taking Contests
Marcel Nutz, Yuchong Zhang
Following the risk-taking model of Seel and Strack, players decide when to stop privately observed Brownian motions with drift and absorption at zero. They are then ranked acco…
Teamwise Mean Field Competitions
Xiang Yu, Yuchong Zhang, Zhou Zhou
This paper studies competitions with rank-based reward among a large number of teams. Within each sizable team, we consider a mean-field contribution game in which each team member…
Terminal Ranking Games
Erhan Bayraktar, Yuchong Zhang
We analyze a mean field tournament: a mean field game in which the agents receive rewards according to the ranking of the terminal value of their projects and are subject to cost o…
Conditional Optimal Stopping: A Time-Inconsistent Optimization
Marcel Nutz, Yuchong Zhang
Inspired by recent work of P.-L. Lions on conditional optimal control, we introduce a problem of optimal stopping under bounded rationality: the objective is the expected payoff at…
Large Tournament Games
Erhan Bayraktar, Jakša Cvitanić, Yuchong Zhang
We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When p…
A Mean Field Competition
Marcel Nutz, Yuchong Zhang
We introduce a mean field game with rank-based reward: competing agents optimize their effort to achieve a goal, are ranked according to their completion time, and paid a reward ba…
A rank based mean field game in the strong formulation
Erhan Bayraktar, Yuchong Zhang
We discuss a natural game of competition and solve the corresponding mean field game with \emph{common noise} when agents' rewards are \emph{rank dependent}. We use this solution t…
Stochastic Perron's Method for the Probability of lifetime ruin problem under transaction costs
Erhan Bayraktar, Yuchong Zhang
We apply stochastic Perron's method to a singular control problem where an individual targets at a given consumption rate, invests in a risky financial market in which trading is s…
Minimizing the Probability of Lifetime Ruin Under Ambiguity Aversion
Erhan Bayraktar, Yuchong Zhang
We determine the optimal robust investment strategy of an individual who targets at a given rate of consumption and seeks to minimize the probability of lifetime ruin when she does…
A note on the Fundamental Theorem of Asset Pricing under model uncertainty
Erhan Bayraktar, Yuchong Zhang, Zhou Zhou
We show that the results of ArXiv:1305.6008 on the Fundamental Theorem of Asset Pricing and the super-hedging theorem can be extended to the case in which the options available for…
Fundamental Theorem of Asset Pricing under Transaction costs and Model uncertainty
Erhan Bayraktar, Yuchong Zhang
We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is mode…