We develop four simulation-based algorithms for finite-horizon Markov decision processes. Two of these algorithms are developed for finite state and compact action spaces while the other two are for finite state and finite action spaces. Of the former two, one algorithm uses a linear parameterization for the policy, resulting in reduced memory complexity. Convergence analysis is briefly sketche...

A unique parameterization of the QCD equation of state below and above T c We present a unique parameterization of the equation of state of strongly interacting matter in the temperature interval 0.6T c · · · 3T c at µ = 0 within a quasi-particle model based on quark and gluon degrees of freedom. The extension to non-vanishing baryon-chemical potential is discussed.

Isotropic growth from a single point on a two-dimensional square grid should generate an increasing sequence of discretized discs. We present a simple probabilistic model for growth on a grid, and discuss a class of parameterizations of the model (called kernels) which was conjectured (1) to produce isotropic growth. We disprove this conjecture, but we claim that these kernels produce growth th...

An explicit parameterization for the state space of an n-level density matrix is given. The parameterization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of twoand three-level quantum systems.

The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference inputs. This system follows a periodic reference input with a small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic reference input to the output an...

We propose to use a moving mesh approach, a popular grid adaption technique in computational mechanics, for fast generating low-stretch mesh parameterizations. Given a triangle mesh approximating a surface, we constrcut an initial parameterization of the mesh and then improve the parameterization gradually. At each improvement step, we optimize the parameterization generated at the previous ste...

In this Letter we propose a new hybrid exchange–correlation functional, in which a recently developed exchange (mPBE) and a meta-GGA correlation (KCIS) are integrated in a hybrid Hartree–Fock/Density Functional Theory scheme. In such approach only one, or two in the G2-optimized version, parameters are adjusted on experimental data, all the others being derived from purely theoretical considera...

The inverse kinematics problem is formulated as a parameterized autonomous dynamical system problem, and respective analysis is carried out. It is shown that a singular point of work space can be mapped either as a critical or a noncritical point of the autonomous system, depending on the direction of approach to the singular point. Making use of the noncritical mapping, a closed-loop kinematic...