42,570 research outputs found
A Dynamical Systems Approach for Static Evaluation in Go
In the paper arguments are given why the concept of static evaluation has the
potential to be a useful extension to Monte Carlo tree search. A new concept of
modeling static evaluation through a dynamical system is introduced and
strengths and weaknesses are discussed. The general suitability of this
approach is demonstrated.Comment: IEEE Transactions on Computational Intelligence and AI in Games, vol
3 (2011), no
Slow Dynamics in Glasses
We will review some of the theoretical progresses that have been recently
done in the study of slow dynamics of glassy systems: the general techniques
used for studying the dynamics in the mean field approximation and the
emergence of a pure dynamical transition in some of these systems. We show how
the results obtained for a random Hamiltonian may be also applied to a given
Hamiltonian. These two results open the way to a better understanding of the
glassy transition in real systems
Microscopic theory for the glass transition in a system without static correlations
We study the orientational dynamics of infinitely thin hard rods of length L,
with the centers-of-mass fixed on a simple cubic lattice with lattice constant
a.We approximate the influence of the surrounding rods onto dynamics of a pair
of rods by introducing an effective rotational diffusion constant D(l),l=L/a.
We get D(l) ~ [1-v(l)], where v(l) is given through an integral of a
time-dependent torque-torque correlator of an isolated pair of rods. A glass
transition occurs at l_c, if v(l_c)=1. We present a variational and a
numerically exact evaluation of v(l).Close to l_c the diffusion constant
decreases as D(l) ~ (l_c-l)^\gamma, with \gamma=1. Our approach predicts a
glass transition in the absence of any static correlations, in contrast to
present form of mode coupling theory.Comment: 6 pages, 3 figure
Human Motion Trajectory Prediction: A Survey
With growing numbers of intelligent autonomous systems in human environments,
the ability of such systems to perceive, understand and anticipate human
behavior becomes increasingly important. Specifically, predicting future
positions of dynamic agents and planning considering such predictions are key
tasks for self-driving vehicles, service robots and advanced surveillance
systems. This paper provides a survey of human motion trajectory prediction. We
review, analyze and structure a large selection of work from different
communities and propose a taxonomy that categorizes existing methods based on
the motion modeling approach and level of contextual information used. We
provide an overview of the existing datasets and performance metrics. We
discuss limitations of the state of the art and outline directions for further
research.Comment: Submitted to the International Journal of Robotics Research (IJRR),
37 page
Critical Dynamics in Glassy Systems
Critical dynamics in various glass models including those described by mode
coupling theory is described by scale-invariant dynamical equations with a
single non-universal quantity, i.e. the so-called parameter exponent that
determines all the dynamical critical exponents. We show that these equations
follow from the structure of the static replicated Gibbs free energy near the
critical point. In particular the exponent parameter is given by the ratio
between two cubic proper vertexes that can be expressed as six-point cumulants
measured in a purely static framework.Comment: 24 pages, accepted for publication on PRE. Discussion of the
connection with MCT added in the Conclusion
Merging GW with DMFT and non-local correlations beyond
We review recent developments in electronic structure calculations that go
beyond state-of-the-art methods such as density functional theory (DFT) and
dynamical mean field theory (DMFT). Specifically, we discuss the following
methods: GW as implemented in the Vienna {\it ab initio} simulation package
(VASP) with the self energy on the imaginary frequency axis, GW+DMFT, and ab
initio dynamical vertex approximation (DA). The latter includes the
physics of GW, DMFT and non-local correlations beyond, and allows for
calculating (quantum) critical exponents. We present results obtained by the
three methods with a focus on the benchmark material SrVO.Comment: tutorial review submitted to EPJ-ST (scientific report of research
unit FOR 1346); 11 figures 27 page
Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation
The explicit evaluation of linear response coefficients for interacting
many-particle systems still poses a considerable challenge to theoreticians. In
this work we use a novel many-particle renormalization technique, the so-called
projector-based renormalization method, to show how such coefficients can
systematically be evaluated. To demonstrate the prospects and power of our
approach we consider the dynamical wave-vector dependent spin susceptibility of
the two-dimensional Hubbard model and also determine the subsequent magnetic
phase diagram close to half-filling. We show that the superior treatment of
(Coulomb) correlation and fluctuation effects within the projector-based
renormalization method significantly improves the standard random phase
approximation results.Comment: 17 pages, 7 figures, revised versio
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