Results 1  10
of
561,710
LeastSquares Policy Iteration
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2003
"... We propose a new approach to reinforcement learning for control problems which combines valuefunction approximation with linear architectures and approximate policy iteration. This new approach ..."
Abstract

Cited by 461 (12 self)
 Add to MetaCart
We propose a new approach to reinforcement learning for control problems which combines valuefunction approximation with linear architectures and approximate policy iteration. This new approach
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
 ACM Trans. Math. Software
, 1982
"... An iterative method is given for solving Ax ~ffi b and minU Ax b 112, where the matrix A is large and sparse. The method is based on the bidiagonalization procedure of Golub and Kahan. It is analytically equivalent to the standard method of conjugate gradients, but possesses more favorable numerica ..."
Abstract

Cited by 649 (21 self)
 Add to MetaCart
gradient algorithms, indicating that I~QR is the most reliable algorithm when A is illconditioned. Categories and Subject Descriptors: G.1.2 [Numerical Analysis]: ApprorJmationleast squares approximation; G.1.3 [Numerical Analysis]: Numerical Linear Algebralinear systems (direct and
FirstOrder System LeastSquares For The Helmholtz Equation
, 2000
"... This paper develops a multilevel leastsquares approach for the numerical solution of the complex scalar exterior Helmholtz equation. This secondorder equation is first recast into an equivalent firstorder system by introducing several "field" variables. A combination of scaled L 2 and ..."
Abstract

Cited by 15 (0 self)
 Add to MetaCart
This paper develops a multilevel leastsquares approach for the numerical solution of the complex scalar exterior Helmholtz equation. This secondorder equation is first recast into an equivalent firstorder system by introducing several "field" variables. A combination of scaled L 2
A firstorder primaldual algorithm for convex problems with applications to imaging
, 2010
"... In this paper we study a firstorder primaldual algorithm for convex optimization problems with known saddlepoint structure. We prove convergence to a saddlepoint with rate O(1/N) in finite dimensions, which is optimal for the complete class of nonsmooth problems we are considering in this paper ..."
Abstract

Cited by 435 (20 self)
 Add to MetaCart
In this paper we study a firstorder primaldual algorithm for convex optimization problems with known saddlepoint structure. We prove convergence to a saddlepoint with rate O(1/N) in finite dimensions, which is optimal for the complete class of nonsmooth problems we are considering
LEASTSQUARES FINITE ELEMENT METHODS FOR FIRSTORDER ELLIPTIC SYSTEMS
, 2004
"... Leastsquares principles use artificial “energy” functionals to provide a RayleighRitzlike setting for the finite element method. These functionals are defined in terms of PDE’s residuals and are not unique. We show that viable methods result from reconciliation of a mathematical setting dictated ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
by the normequivalence of leastsquares functionals with practicality constraints dictated by the algorithmic design. We identify four universal patterns that arise in this process and develop this paradigm for firstorder ADN elliptic systems. Special attention is paid to the effects that each
Powerlaw distributions in empirical data
 ISSN 00361445. doi: 10.1137/ 070710111. URL http://dx.doi.org/10.1137/070710111
, 2009
"... Powerlaw distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and manmade phenomena. Unfortunately, the empirical detection and characterization of power laws is made difficult by the large fluctuations that occur in the t ..."
Abstract

Cited by 589 (7 self)
 Add to MetaCart
in the tail of the distribution. In particular, standard methods such as leastsquares fitting are known to produce systematically biased estimates of parameters for powerlaw distributions and should not be used in most circumstances. Here we describe statistical techniques for making accurate parameter
FIRSTORDER SYSTEM LEASTSQUARES FOR THE OSEEN EQUATIONS
"... Abstract. Following earlier work for Stokes equations, a leastsquares functional is developed for two and threedimensional Oseen equations. By introducing a velocity flux variable and associated curl and trace equations, ellipticity is established in an appropriate product norm. The form of Oseen ..."
Abstract
 Add to MetaCart
Abstract. Following earlier work for Stokes equations, a leastsquares functional is developed for two and threedimensional Oseen equations. By introducing a velocity flux variable and associated curl and trace equations, ellipticity is established in an appropriate product norm. The form
An Analysis of FirstOrder Logics of Probability
 Artificial Intelligence
, 1990
"... : We consider two approaches to giving semantics to firstorder logics of probability. The first approach puts a probability on the domain, and is appropriate for giving semantics to formulas involving statistical information such as "The probability that a randomly chosen bird flies is greater ..."
Abstract

Cited by 316 (18 self)
 Add to MetaCart
: We consider two approaches to giving semantics to firstorder logics of probability. The first approach puts a probability on the domain, and is appropriate for giving semantics to formulas involving statistical information such as "The probability that a randomly chosen bird flies
A firstorder systems leastsquares finite element method for the PoissonBoltzmann equation
 J. Comput. Chem
"... Abstract: The PoissonBoltzmann equation is an important tool in modeling solvent in biomolecular systems. In this article, we focus on numerical approximations to the electrostatic potential expressed in the regularized linear PoissonBoltzmann equation. We expose the flux directly through a first ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
system form of the equation. Using this formulation, we propose a system that yields a tractable leastsquares finite element formulation and establish theory to support this approach. The leastsquares finite element approximation naturally provides an a posteriori error estimator and we present
Results 1  10
of
561,710