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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Nov 201319922001200920172026
5 results for Hamilton-Jacobi-Isaacs

This paper optimizes trading strategies to minimize risk and maximize profit while accounting for market uncertainty.

problem Optimizing trading strategies to minimize risk and maximize profit while accounting for market uncertainty.
method Relative entropy-regularized robust optimal control problem, modeled as a stochastic differential game.
result Analytical expressions for optimal strategy and trajectory are derived under specific assumptions.

This paper presents a novel approach to numerically solve stochastic differential games for nonlinear systems. The proposed approach relies on the nonlinear Feynman-Kac theorem that establishes a connection between parabolic deterministic partial differential equations and forward-backward stochastic differential equat…

2019-06-11abs ↗pdf ↗

The HH_\infty control design problem is considered for nonlinear systems with unknown internal system model. It is known that the nonlinear H H_\infty control problem can be transformed into solving the so-called Hamilton-Jacobi-Isaacs (HJI) equation, which is a nonlinear partial differential equation that is genera…

2013-11-24abs ↗pdf ↗