We investigate the theoretical foundations of the simulated tempering (ST) method and use our findings to design an efficient accelerated sampling algorithm.
In particular, conjugate gradient methods [[16], Chapter 5] have been widely used as an efficient accelerated version of most gradient methods.
Since conjugate gradient methods [15] have been widely seen as an efficient accelerated version of most gradient methods, we introduce an accelerated Picard algorithm by combining the conjugate gradient methods and the Picard algorithm.
In particular, algorithms with nonlinear conjugate gradient directions [23], [20], Subchapter 5.2, d_{n+1}^{ (f )} := - nabla f (x_{n+1} ) + beta_{n} d_{n}^{ (f )}, (1.18) where (beta_{n} inmathbb{R}), have been widely used as efficient accelerated versions for most gradient methods.
Thiuram disulfides, the parent compound of thiuram, either alone or in combination with thiazole group of accelerators [1, 2] have been immensely important and popular during last few decades in the rubber industry for their efficient accelerated cross linking capacity leading to preparation of vulcanized article of desired technological properties.
Shorter multiple channels (8.6 mm) were more efficient at accelerating drug release than longer channels (18.2 mm) despite having comparable surface area/mass ratio.
The team shows that the shock wave visible in this area is very efficient at accelerating particles and the energy used in this process matches the number of cosmic rays observed on Earth.
Marx never asked what might happen if intense global competition some time in the future forced entrepreneurs to introduce ever more efficient technologies, accelerating productivity to the point where the marginal cost of production approached zero, making goods and services "priceless" and potentially free, putting an end to profit and rendering the market exchange economy obsolete.
In other words, the cycle-24 CMEs seem to be less efficient in accelerating particles.
In particular, several examples demonstrate that the combination of ADIIS and DIIS ("ADIIS+DIIS") is highly reliable and efficient in accelerating SCF convergence.
