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Approximation of Dynamic Programs
2011Under some standard market assumptions, evaluating a derivative implies computing the discounted expected value of its future cash flows and can be written as a stochastic Dynamic Program (DP), where the state variable corresponds to the underlying assets’ observable characteristics. Approximation procedures are needed to discretize the state space and
Michèle Breton, Javier de Frutos
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Approximate dynamic programming for stochastic reachability
2013 European Control Conference (ECC), 2013In this work we illustrate how approximate dynamic programing can be utilized to address problems of stochastic reachability in infinite state and control spaces. In particular we focus on the reach-avoid problem and approximate the value function on a linear combination of radial basis functions. In this way we get significant computational advantages
Kariotoglou, N. +4 more
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Approximate Dynamic Programming
2007Preface. Acknowledgments. 1. The challenges of dynamic programming. 1.1 A dynamic programming example: a shortest path problem. 1.2 The three curses of dimensionality. 1.3 Some real applications. 1.4 Problem classes. 1.5 The many dialects of dynamic programming. 1.6 What is new in this book? 1.7 Bibliographic notes. 2. Some illustrative models.
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Approximate dynamic programming with affine ADDs
International Joint Conference on Autonomous Agents and Multiagent Systems, 2010The Affin ADD (AADD) is an extension of the Algebraic Decision Diagram (ADD) that compactly represents context-specific, additive and multiplicative structure in functions from a discrete domain to a real-valued range. In this paper, we introduce a novel algorithm for efficientl findin AADD approximations that we use to develop the MADCAP algorithm for
Scott Sanner +2 more
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Region-based approximation in approximate dynamic programming
International Journal of Control, 2022Tohid Sardarmehni, Xingyong Song
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Revisiting Approximate Dynamic Programming and its Convergence
IEEE Transactions on Cybernetics, 2014Value iteration-based approximate/adaptive dynamic programming (ADP) as an approximate solution to infinite-horizon optimal control problems with deterministic dynamics and continuous state and action spaces is investigated. The learning iterations are decomposed into an outer loop and an inner loop. A relatively simple proof for the convergence of the
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Approximate Dynamic Programming
2010In any complex or large scale sequential decision making problem, there is a crucial need to use function approximation to represent the relevant functions such as the value function or the policy. The Dynamic Programming (DP) and Reinforcement Learning (RL) methods introduced in previous chapters make the implicit assumption that the value function ...
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Approximate dynamic programming for an energy-efficient parallel machine scheduling problem
European Journal of Operational Research, 2022Mojtaba Heydar +2 more
exaly
Function Approximation and Approximate Dynamic Programming
2022Ashwin Rao, Tikhon Jelvis
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Nonparametric Approximate Dynamic Programming via the Kernel Method
Stochastic Systems, 2023Ciamac Moallemi, Vivek F Farias
exaly

