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Topic: Bellman equation

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Optimal control

Dynamic programming

Control theory

WKB approximation

Villari effect

	Hamilton-Jacobi-Bellman equation - Wikipedia, the free encyclopedia
		The equation is a result of the theory of dynamic programming which was pioneered in the 1950s by Richard Bellman and coworkers.
		The corresponding discrete-time equation is usually referred to as the Bellman equation.
		The HJB equation is a sufficient condition for an optimum.
	en.wikipedia.org /wiki/Hamilton-Jacobi-Bellman_equation (282 words)

	Demo Paper
		Equation (7) plays a role similar to the Bellman equation in dynamic programming (Bertsekas, 1987); it is actually a special case of the Bellman equation for deterministic MDPs.
		This property of the Bellman equation ensures that if the function-approximation system is general enough to represent all possible functions, and if small changes in the functions correspond to small changes in the weights, then there are no nonoptimal, local minima for the weights.
		The Bellman residuals for equations (20) and (21) are:
	www.leemon.com /papers/ab95/ab95.html (7026 words)

	ESPN.com: NFL - Fourth-down analysis met with skepticism
		This, in the unimpeachable terms of the Bellman Equation, is the definitive proof that NFL head coaches should go for it more on fourth down.
		Fassel turned a sheet with the equation on it sideways, then upside down in a humorous attempt to absorb its subtleties.
		Romer applied the Bellman Equation, which is used in economics and math to help simplify dynamic, long-term problems into the immediate payoff and the future ramifications of the situation.
	espn.go.com /nfl/columns/garber_greg/1453717.html (2708 words)

	Viscosity Solutions of the Bellman Equation for Exit Time Optimal Control Problems with Vanishing Lagrangians
		Viscosity Solutions of the Bellman Equation for Exit Time Optimal Control Problems with Vanishing Lagrangians: SIAM Journal on Control and Optimization Vol.
		The novelty of this theorem is in the relaxed hypotheses on the lower bound on the Lagrangian and the very general assumptions on the target set.
		As a corollary, we show that the value function for the Fuller problem is the unique viscosity solution of the corresponding Hamilton--Jacobi--Bellman equation that vanishes at the origin and satisfies certain growth conditions.
	epubs.siam.org /sam-bin/dbq/article/36859 (238 words)

	Galerkin Approximations of the Generalized Hamilton-Jacobi-Bellman Equation - Beard, Saridis, Wen (ResearchIndex)
		The GHJB equation gives the cost of an arbitrary control law and can be used to improve the performance of this control.
		The GHJB equation can also be used to successively approximate the Hamilton-Jacobi-Bellman equation.
		15 a discrete approximation of the Hamilton-Jacobi equation of..
	citeseer.ist.psu.edu /8166.html (1102 words)

	Robotics Institute: Gradient Descent Approaches to Neural-Net-Based Solutions of the Hamilton-Jacobi-Bellman Equation
		We use neural networks to approximate the solution to the Hamilton-Jacobi-Bellman (HJB) equation which is, in the deterministic case studied here, a first-order, non-linear, partial differential equation.
		We derive the gradient descent rule for integrating this equation inside the domain, given the conditions on the boundary.
		We attribute this bad approximation to the fact that the HJB equation has many generalized solutions (i.e.
	www.ri.cmu.edu /pubs/pub_2623.html (326 words)

	Bellman Residual (Site not responding. Last check: 2007-10-12)
		We also use the term Bellman residual or Bellman equation error for V to mean the state value function BV - V.
		The Bellman residual is significant for three reasons.
		There is thus a very natural correspondence between what training a function approximator using TD errors tries to accomplish and what the Bellman residual measures.
	www.leemon.com /papers/yale94/node7.html (212 words)

	Glossary of research economics
		In that equation the process is assumed to be covariance stationary.
		Bellman equation: Any value or flow value equation.
		is the estimated correlation between the residuals of the M equations and T is the number of observations.
	econterms.com /econtent.html (14590 words)

	A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering
		A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering: SIAM Journal on Control and Optimization Vol.
		The Hamilton--Jacobi--Bellman (HJB) equation associated with the {robust/\hinfty} filter (as well as the Mortensen filter) is considered.
		The HJB equation for the filter information state is a first-order equation with a term that is quadratic in the gradient.
	epubs.siam.org /sam-bin/dbq/article/33243 (189 words)

	The Maximum Principle, Bellman's Equation, and Carathéodory's Work (ResearchIndex)
		The Maximum Principle, Bellman's Equation, and Carathéodory's Work
		Another prominent result is known as the Bellman Equation, which is associated with Isaac's and Bellman's work (later than 1951).
		However, precursors of both the maximum principle and the Bellman Equation can already be found in Carath'eodory's book of 1935, see...
	citeseer.ist.psu.edu /65897.html (191 words)

	Matlab Programs (Site not responding. Last check: 2007-10-12)
		This procedure iterates on the Euler equation, by using a marching procedure to test for a sign change in the FOC.
		It then interpolates to the controls using the sign change as the basis and then calculates the associated, interpolated Value function.
		Bracketing Procedure on Bellman's equation: ymkps5d.m and brack.m
	www.georgetown.edu /users/ahmady/MacroIII/Matprog.htm (298 words)

	Mathematics Department, Alumni, Colorado State University (Site not responding. Last check: 2007-10-12)
		Abstract: The classical Bellman principle in optimal control states that
		However, an absolutely rigorous (and simple) treatment of the Bellman equation is
		In the talk, after briefly presenting the formalism of the Bellman equation, I will use
	www.math.colostate.edu /~franklin/previous/news.4.14.05.htm (299 words)

	gccpublications
		"A comparison of alternative estimators for simultaneous equations," Econometrica, 32 (October 1964), pp.
		"Maximum likelihood estimation of linear equation systems with autoregressive residuals" (co-authored with R. Fair), Annals of Economic and Social Measurement, 4 (January 1975), pp.
		"A two-step procedure for estimating linear simultaneous equations with unit roots," The Review of Economics and Statistics, LXXV (February 1993) pp.
	www.princeton.edu /~gchow/gccpublications.htm (4099 words)

	W O R K I N G P a P E R (SMEALSearch) - Pal,Rangaswamy,Giles,Debnath (Site not responding. Last check: 2007-10-12)
		Evolutionary programming is a stochastic optimization procedure which has proved useful in optimizing difficult functions.
		It is shown that evolutionary programing can be used to solve the Bellman equation problem with a high degree of accuracy and substantially less CPU time than Bellman equation iteration.
		Future applications will focus on sometimes binding constraints a class of problem for which standard solutions techniques are not applicable.
	gunther.smeal.psu.edu /6538.html (253 words)

	SSRN-It's Fourth Down and What Does the Bellman Equation Say? A Dynamic Programming Analysis of Football Strategy by ...
		SSRN-It's Fourth Down and What Does the Bellman Equation Say?
		DAVID H. University of California, Berkeley - Department of Economics; National Bureau of Economic Research (NBER)
		Romer, David H., "It's Fourth Down and What Does the Bellman Equation Say?
	papers.ssrn.com /sol3/papers.cfm?abstract_id=316803 (400 words)

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