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We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , D. J. Dean

Conventional methods for the simulation of diffusive systems are quite slow when applied to strongly inhomogeneous systems. We present a new hierarchical approach based on dynamic renormalization-group ideas and on the Walsh transform (or…

Condensed Matter · Physics 2007-05-23 Yuksel Gunal , P B Visscher

Percolation refers to an interesting class of problems related to the properties of disordered systems, usually formulated in terms of objects randomly placed on an underlying lattice or continuum. Despite the simplicity of the setup, most…

Statistical Mechanics · Physics 2022-02-22 Abraham Levitan

Improvements in computational and experimental capabilities are rapidly increasing the amount of scientific data that is routinely generated. In applications that are constrained by memory and computational intensity, excessively large…

Machine Learning · Computer Science 2023-02-28 Malik Hassanaly , Bruce A. Perry , Michael E. Mueller , Shashank Yellapantula

We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-Scott (GS) reaction diffusion system by performing numerical simulations and applying a Renormalization Group (RG) analysis in…

Other Condensed Matter · Physics 2007-05-23 M. -P. Zorzano , D. Hochberg , F. Moran

Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite…

High Energy Physics - Theory · Physics 2008-02-03 J. Gegelia , G. Japaridze , N. Kiknadze , K. Turashvili

We discuss a renormalization procedure for random tensor networks, and show that the corresponding renormalization-group flow is given by the Hamiltonian vector flow of the canonical tensor model, which is a discretized model of quantum…

High Energy Physics - Theory · Physics 2015-04-15 Naoki Sasakura , Yuki Sato

Some recent results showed that renormalization group can be considered as a promising framework to address open issues in data analysis. In this work, we focus on one of these aspects, closely related to principal component analysis for…

High Energy Physics - Theory · Physics 2022-03-04 Vincent Lahoche , Dine Ousmane Samary , Mohamed Tamaazousti

We propose a Distributionally Robust Optimization (DRO) formulation with a Wasserstein-based uncertainty set for selecting grouped variables under perturbations on the data for both linear regression and classification problems. The…

Machine Learning · Statistics 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

For the recently developed particle-hole dispersive optical model, weak violations of unitarity due to a phenomenological description of the spreading effect are considered. Methods for unitarity restoration are proposed and implemented for…

Nuclear Theory · Physics 2018-03-14 M. L. Gorelik , S. Shlomo , B. A. Tulupov , M. H. Urin

We propose a family of renormalization group transformations characterized by free parameters that may be tuned in order to reduce the truncation effects. As a check we test them in the three dimensional XY model. The Schwinger--Dyson…

High Energy Physics - Lattice · Physics 2009-10-28 L. A. Fernandez , A. Munoz Sudupe , J. J. Ruiz-Lorenzo , A. Tarancon

We focus on the estimation of the intensity of a Poisson process in the presence of a uniform noise. We propose a kernel-based procedure fully calibrated in theory and practice. We show that our adaptive estimator is optimal from the oracle…

Methodology · Statistics 2022-06-29 Anna Bonnet , Claire Lacour , Franck Picard , Vincent Rivoirard

We investigate non-equilibrium critical phenomena using a nonperturbative renormalization group method. Reaction-diffusion processes are described by a scale dependent effective action which evolution is governed by very generic flow…

Statistical Mechanics · Physics 2011-07-19 Léonie Canet , Bertrand Delamotte , Olivier Deloubrière , Nicolas Wschebor

We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origin of universality in these systems, before comparing RG…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber , Martin Howard , Benjamin P. Vollmayr-Lee

The 2-dimensional density of states of an electron is studied for a Poissonian random distribution of point vortices carrying $\alpha$ flux in unit of the quantum of flux. It is shown that, for any given density of impurities, there is a…

Condensed Matter · Physics 2009-10-28 Jean Desbois , Cyril Furtlehner , Stéphane Ouvry

We describe an extension to the density matrix renormalization group method incorporating real time evolution into the algorithm. Its application to transport problems in systems out of equilibrium and frequency dependent correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Steven R. White , Adrian E. Feiguin

In a recent Letter [Phys. Rev. Lett. 88, 256403(2002), cond-mat/0109158] Cazalilla and Marston proposed a time-dependent density- matrix renormalization group (TdDMRG) algorithm for the accurate evaluation of out-of-equilibrium properties…

Strongly Correlated Electrons · Physics 2007-05-23 H. G. Luo , T. Xiang , X. Q. Wang

We discuss renormalization group approaches to strongly interacting Fermi systems, in the context of Landau's theory of Fermi liquids and functional methods, and their application to neutron matter.

Nuclear Theory · Physics 2012-08-17 B. Friman , K. Hebeler , A. Schwenk

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

In the present letter we employ the method of the dynamical renormalisation group to compute the average mass distribution of aggregating point particles in 2 dimensions in the regime when the effects of local mass distribution fluctuations…

Statistical Mechanics · Physics 2009-10-31 Oleg Zaboronski