Control and Optimization 

Spring 2023

Optimal Consumption Under Drawdown and Habit-formation Constraints

Deep Filtering Algorithms with Adaptive Learning Rates

Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation

Deep Learning Algorithms for Hedging with Frictions

Spring 2022

Learning in Linear-Quadratic Framework: From Single-Agent to Multi-Agent, and to Mean-Field

Random Ordinary Differential Equations and their Numerical Approximation

Dynamics of Recurrent Neural Networks

Decentralized Payment Clearing Using Blockchain

Harvesting in Discrete-Time Stochastic Population Models

Numeraire-Invariant Quadratic Hedging and Mean-Variance Portfolio Allocation [recording]

Fall 2021

A Class of Dimensionality-Free Metrics for Convergence of Empirical Measures

Monte-Carlo Methods for High-Dimensional Problems in Quantitative Finance

Gibbs' Theory and Statistical Physics: A Third Approach to Understanding the World Probabilistically?

Duality and Deep Learning for Optimal Consumption with Randomly Terminating Income

Expert Predication Problem

On Kyle-Back Equilibrium Problem - The Case of Dynamic Information

Spring 2021

Adaptive Strictly Distributed Optimization

Quickest Real-Time Detection of a Markovian Drift

Mean-Field Linear-Quadratic Stochastic Differential Games in an Infinite Horizon

Traditional and Digital Currencies in Over-the-Counter Markets

Optimal Stopping Problems for a Family of Continuous-time Markov Processes

On the Modeling of Impulse Control with Random Effects for Continuous Markov Processes

Frequency Domain Characterization of Semigroup Properties and its Applications

A Time-Inconsistent Dynkin Game: From Intra-Personal to Inter-Personal Equilibria

Stochastic Chemostat Models

Multigrid Methods for Elliptic Optimal Control Problems 

Solving High-Dimensional Control Problems with Deep Learning

Fall 2020

Infinite-Horizon Linear-Quadratic Optimal Control Problems WIthout Stabilizability

Numerical Approximation of Continuous-Time Markov Decision Processes

Optimal Production Control When There Are Production Constraints and Regime Switching

A General Framework for Optimal Investment Under Markov Processes