Gradient upon gradient

Gradient Data and Gradient Grammars

1 Introduction Throughout the history of generative grammar there has been a tension between the categorical nature of the theories proposed and the gradient

Effect of Density Gradient Material upon Ex-Vivo Neutrophil Behaviour

Gradient Convergence in Gradient Methods

For the classical gradient method xt+1 = xt − γt∇f(xt) and several deterministic and stochastic variants, we discuss the issue of convergence of the gradient sequence ∇f(xt) and the attendant issue of stationarity of limit points of xt. We assume that ∇f is Lipschitz continuous, and that the stepsize γt diminishes to 0 and satisfies standard stochastic approximation conditions. We show that eit...

The Effect of Lid Closure upon the Ocular Temperature Gradient.

The effect of lid closure and opening upon the ocular temperature gradient was studied in the rabbit eye by determining the changes in temperature of the anterior surface of the central cornea, the pupillary area of the anterior chamber, and the midiris area of the posterior chamber. With lid closure the temperature of all three areas rose to a similar level of 37.7° C. so that the ocular tempe...

Stein Variational Gradient Descent as Gradient Flow

Stein variational gradient descent (SVGD) is a deterministic sampling algorithm that iteratively transports a set of particles to approximate given distributions, based on a gradient-based update that guarantees to optimally decrease the KL divergence within a function space. This paper develops the first theoretical analysis on SVGD. We establish that the empirical measures of the SVGD samples...