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The standard Kernel Quadrature method for numerical integration with random point sets (also called Bayesian Monte Carlo) is known to converge in root mean square error at a rate determined by the ratio $s/d$, where $s$ and $d$ encode the…

Machine Learning · Statistics 2017-08-01 Francois-Xavier Briol , Chris J. Oates , Jon Cockayne , Wilson Ye Chen , Mark Girolami

Simulating strongly correlated fermionic systems remains a fundamental challenge in quantum physics, largely due to the sign problem in quantum Monte Carlo (QMC) methods. We present a neural network-based variational Monte Carlo (NN-VMC)…

Computational Physics · Physics 2025-09-09 William Freitas , B. Abreu , S. A. Vitiello

The quantum Monte Carlo (QMC) is one of the most promising many-body electronic structure approaches. It employs stochastic techniques for solving the stationary Schr\" odinger equation and for evaluation of expectation values. The key…

Other Condensed Matter · Physics 2007-12-20 Michal Bajdich

The COBE and the first-year WMAP data both find the CMB quadrupole and octopole to be anomalously low. Here it is shown, that a finite, multi-connected universe may explain this anomaly, supporting earlier analyses [5][18]. A novel…

Astrophysics · Physics 2009-09-29 Jesper Gundermann

We study properties of normal, superconducting (SC) and CDW states for an attractive Hubbard model on the square lattice, using a variational Monte Carlo method. In trial wave functions, we introduce an interspinon binding factor,…

Strongly Correlated Electrons · Physics 2016-05-31 Shun Tamura , Hisatoshi Yokoyama

Inference in cosmology often starts with noisy observations of random fields on the celestial sphere, such as maps of the microwave background radiation, continuous maps of cosmic structure in different wavelengths, or maps of point tracers…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-06 E. Sellentin , A. Loureiro , L. Whiteway , J. S. Lafaurie , S. T. Balan , M. Olamaie , A. H. Jaffe , A. F. Heavens

We develop a novel bosonic mean field theory to describe the spiral phases of a Heisenberg antiferromagnet on a one-dimensional chain, in terms of three bosons at each site. The ground state is disordered and for large values of the spin…

Condensed Matter · Physics 2009-10-22 Sumathi Rao , Diptiman Sen

The B-mode polarisation power spectrum in the Cosmic Microwave Background (CMB) is about four orders of magnitude fainter than the CMB temperature power spectrum. Any instrumental imperfections that couple temperature fluctuations to B-mode…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Christopher G. R. Wallis , Michael L. Brown , Richard A. Battye , Jacques Delabrouille

Particle Markov Chain Monte Carlo (PMCMC) is a general computational approach to Bayesian inference for general state space models. Our article scales up PMCMC in terms of the number of observations and parameters by generating the…

Methodology · Statistics 2023-07-04 David Gunawan , Chris Carter , Robert Kohn

We introduce a $\textit{frequency-dependent}$ Doppler and aberration transformation kernel for the harmonic multipoles of a general cosmological observable with spin weight $s$, Doppler weight $d$ and arbitrary frequency spectrum. In the…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-08 Siavash Yasini , Elena Pierpaoli

We propose kernel sequential Monte Carlo (KSMC), a framework for sampling from static target densities. KSMC is a family of sequential Monte Carlo algorithms that are based on building emulator models of the current particle system in a…

Computation · Statistics 2017-07-26 Ingmar Schuster , Heiko Strathmann , Brooks Paige , Dino Sejdinovic

Approximate Markov chain Monte Carlo (MCMC) offers the promise of more rapid sampling at the cost of more biased inference. Since standard MCMC diagnostics fail to detect these biases, researchers have developed computable Stein discrepancy…

Machine Learning · Statistics 2020-10-16 Jackson Gorham , Lester Mackey

Diffusion Monte Carlo (DMC) is an exact technique to project out the ground state (GS) of a Hamiltonian. Since the GS is always bosonic, in fermionic systems the projection needs to be carried out while imposing anti-symmetric constraints,…

Computational Physics · Physics 2025-01-08 Kousuke Nakano , Sandro Sorella , Dario Alfè , Andrea Zen

Along the years, the Cornell Model has been extraordinarily successful in describing hadronic phenomenology, in particular in physical situations for which an effective theory of the strong interactions such as NRQCD cannot be applied. As a…

High Energy Physics - Phenomenology · Physics 2019-04-26 Vicent Mateu , Pablo G. Ortega , David R. Entem , Francisco Fernandez

We extend our low-scaling variational Monte Carlo (VMC) algorithm to optimize the symmetry projected Jastrow mean field (SJMF) wavefunctions. These wavefunctions consist of a symmetry-projected product of a Jastrow and a general…

Strongly Correlated Electrons · Physics 2019-06-19 Ankit Mahajan , Sandeep Sharma

Markov chain Monte Carlo(MCMC) is a popular approach to sample from high dimensional distributions, and the asymptotic variance is a commonly used criterion to evaluate the performance. While most popular MCMC algorithms are reversible,…

Probability · Mathematics 2018-02-06 Chi-Hao Wu , Ting-Li Chen

We present a method for fast optimal estimation of the temperature angular power spectrum from observations of the cosmic microwave background. We employ a Hamiltonian Monte Carlo (HMC) sampler to obtain samples from the posterior…

Astrophysics · Physics 2009-11-13 J. F. Taylor , M. A. J. Ashdown , M. P. Hobson

The conventional tensor-network states employ real-space product states as reference wave functions. Here, we propose a many-variable variational Monte Carlo (mVMC) method combined with tensor networks by taking advantages of both to study…

Strongly Correlated Electrons · Physics 2017-08-09 Hui-Hai Zhao , Kota Ido , Satoshi Morita , Masatoshi Imada

Using the existing state of art of the QCD expressions of the two-point correlators into the Inverse Laplace sum rules (LSR) within stability criteria, we present a first analysis of the spectra and decay constants of B_c-like scalar…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison

Gravitational waves from compact binary mergers provide a direct measurement of luminosity distance, which, in combination with redshift information, serves as a cosmological probe. In order to statistically infer merger redshifts, the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-18 Hui Tong , Maya Fishbach , Eric Thrane
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