3 problems

0 votes0 replies0 views
Conjecture that Gibbs measures improve Monte Carlo variance criteria
Consider the variance of linear statistics with respect to $mu_n$ for the three methods listed in the source, including MCMC and Gibbs-measure backgrounds. Gibbs-measure improvemen…
Conjectureopencoulomb-gases monte-carlo-integration variance-reductionarXiv posted 2 days ago
0 votes0 replies1 view
Conjecture on the source of energy loss from reweighted Coulomb backgrounds
The experiments compare quenched Gibbs measures using MCMC backgrounds with backgrounds obtained by reweighting a realization of a Coulomb gas, where $n$ points are used to approxi…
Conjectureopencoulomb-gases large-deviations monte-carlo-integrationarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture on the influence of confidence on randomized integration error
Let $W_p^r([0,1]^d)$ denote the Sobolev space of functions on the unit cube with smoothness $r\in\mathbb{N}$ and integrability parameter $1\leq p\leq\infty$ , and let…
Conjectureopenmonte-carlo-integration numerical-analysis sobolev-spacesarXiv posted 2 days ago

Conjecture that Gibbs measures improve Monte Carlo variance criteria