10 citations · 10 across the 5 of their papers we have counts for
5 papers
Metastability of random maps: a resolvent approach
Diego Marcondes, Sandro Vaienti
We present a general framework to study the metastability of random perturbations of dynamical systems. It integrates techniques from the theory of Markov processes, in particular…
Complexity Dependent Error Rates for Physics-informed Statistical Learning via the Small-ball Method
Diego Marcondes
Physics-informed statistical learning (PISL) integrates empirical data with physical knowledge to enhance the statistical performance of estimators. While PISL methods are widely u…
On the representation of stack operators by mathematical morphology
Diego Marcondes
This paper introduces the class of grey-scale image stack operators as those that (a) map binary-images into binary-images and (b) commute on average with cross-sectioning. Equival…
Generalized Resubstitution for Regression Error Estimation
Diego Marcondes, Ulisses Braga-Neto
We propose generalized resubstitution error estimators for regression, a broad family of estimators, each corresponding to a choice of empirical probability measures and loss funct…
A Resolvent Approach to Metastability
C. Landim, D. Marcondes, I. Seo
We provide a necessary and sufficient condition for the metastability of a Markov chain, expressed in terms of a property of the solutions of the resolvent equation. As an applicat…