For the last few years, chain-of-thought prompting has become the central method for reasoning in large language models. By encouraging models to “think aloud,” researchers found that step-by-step ...

Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

Various effective algorithms have been proposed in the past two decades for nonlinear PDEs arising from the unconstrained total-variation-based image denoising problem regularizing the total variation ...

We propose a method for reconstructing a probability density function (pdf) from a sample of an n-dimensional probability distribution. The method works by iteratively applying some simple ...