English
Related papers

Related papers: Critical slowing down and the gradient flow coupli…

200 papers

Standard sampling algorithms for lattice QCD suffer from topology freezing (or critical slowing down) when approaching the continuum limit, thus leading to poor sampling of the distinct topological sectors. I will present a modified…

High Energy Physics - Lattice · Physics 2021-11-11 David Albandea , Pilar Hernández , Alberto Ramos , Fernando Romero-López

This paper is concerned with elucidating a relationship between two common coupling methods for the continuous time Markov chain models utilized in the cell biology literature. The couplings considered here are primarily used in a…

Numerical Analysis · Mathematics 2014-08-05 David F. Anderson , Masanori Koyama

We propose an adaptive optimization algorithm for solving unconstrained scaled gradient flow problems that achieves fast convergence by controlling the optimization trajectory shape and the discretization step sizes. Under a broad class of…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Aayushya Agarwal , Carmel Fiscko , Soummya Kar , Larry Pileggi , Bruno Sinopoli

As a prerequisite to dynamical fermion simulations a detailed study of optimal parameters and scaling behavior is conducted for the quenched Schr\"odinger functional at fixed renormalized coupling. We compare standard hybrid overrelaxation…

High Energy Physics - Lattice · Physics 2015-06-25 Bernd Gehrmann , Ulli Wolff

This paper is devoted to the study of weak and strong convergence of derivations, and of the flows associated to them, when dealing with a sequence of metric measure structures (X,d,m_n), m_n weakly convergent to m. In particular, under…

Metric Geometry · Mathematics 2016-10-17 Luigi Ambrosio , Federico Stra , Dario Trevisan

The equivalence of cooling to the gradient flow when the cooling step $n_c$ and the continuous flow step of gradient flow $\tau$ are matched is generalized to gauge actions that include rectangular terms. By expanding the link variables up…

High Energy Physics - Lattice · Physics 2015-12-23 Constantia Alexandrou , Andreas Athenodorou , Karl Jansen

Non-zero topological charge is prohibited in the chiral limit of gauge-fermion systems because any instanton would create a zero mode of the Dirac operator. On the lattice, however, the geometric $Q_\text{geom}=\langle F{\tilde F}\rangle…

High Energy Physics - Lattice · Physics 2021-02-17 Anna Hasenfratz , Oliver Witzel

Existing non-perturbative computations of the running coupling of quenched QCD in the Schroedinger functional scheme are extended to scales mu lying much deeper in the low-energy regime. We are able to reach 1/mu ~ 0.9 fm, where a…

High Energy Physics - Lattice · Physics 2015-06-25 Jochen Heitger , Hubert Simma , Rainer Sommer , Ulli Wolff

The flow of viscous fluids is considered as the aggregation of the motion of fluid particles when the fluid is conceived to be made up by an infinite number of particles. As an alternative of this conventional model, fluid motion could be…

Fluid Dynamics · Physics 2024-02-07 Wennan Zou , Jian He

In complex dynamical systems, the detection of coupling and its direction from observed time series is a challenging task. We study coupling in coupled Duffing oscillator systems in regular and chaotic dynamical regimes. By observing the…

Adaptation and Self-Organizing Systems · Physics 2021-06-22 Martin Brešar , Pavle Boškoski , Martin Horvat

Modeling the transport dynamics of natural processes from population-level observations is a ubiquitous problem in the natural sciences. Such models rely on key assumptions about the underlying process in order to enable faithful learning…

Derived from effective resistances, the current flow closeness centrality (CFCC) for a group of nodes measures the importance of node groups in an undirected graph with $n$ nodes. Given the widespread applications of identifying crucial…

Social and Information Networks · Computer Science 2025-04-08 Haisong Xia , Zhongzhi Zhang

I propose a new method to determine the running coupling in a Schrodinger-functional setup. The method utilizes the scattering amplitude of massless fermions propagating between the time boundaries. Preliminary tests show the statistical…

High Energy Physics - Lattice · Physics 2011-10-28 Yigal Shamir

Despite the widespread use of gradient-based algorithms for optimizing high-dimensional non-convex functions, understanding their ability of finding good minima instead of being trapped in spurious ones remains to a large extent an open…

The purpose of the present work is to expand substantially the type of control and estimation problems that can be addressed following the paradigm of Schr\"odinger bridges, by incorporating termination (killing) of stochastic flows.…

Optimization and Control · Mathematics 2024-06-24 Asmaa Eldesoukey , Olga Movilla Miangolarra , Tryphon T. Georgiou

This talk offers a brief review of the determination of coupling constants in the framework of dimensionally reduced effective field theories for thermal QCD, specializing on its gluonic sector. Interestingly, higher-order operators that go…

High Energy Physics - Phenomenology · Physics 2018-08-20 York Schroder

We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

The recently proposed all orders beta function is further investigated. By using a strong-weak coupling duality of the beta function, and some added topology of the space of couplings we are able to extend the flows to arbitrarily large or…

High Energy Physics - Theory · Physics 2008-11-26 Denis Bernard , Andre' LeClair

We study the running of the coupling in SU(2) gauge theory with 8 massless fundamental representation fermion flavours, using the gradient flow method with the Schr\"odinger functional boundary conditions. Gradient flow allows us to measure…

High Energy Physics - Lattice · Physics 2015-11-13 Viljami Leino , Tuomas Karavirta , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen

An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher