activity
20142021
most citedFiltered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes

23 citations · 31 across the 8 of their papers we have counts for

collaborators

9 papers

stat.ML2021

Frustratingly Easy Uncertainty Estimation for Distribution Shift

Tiago Salvador, Vikram Voleti, Alexander Iannantuono +1

Distribution shift is an important concern in deep image classification, produced either by corruption of the source images, or a complete change, with the solution involving domai…

cs.CV2021★ 3 cited

FairCal: Fairness Calibration for Face Verification

Tiago Salvador, Stephanie Cairns, Vikram Voleti +2

Despite being widely used, face recognition models suffer from bias: the probability of a false positive (incorrect face match) strongly depends on sensitive attributes such as the…

math.AP2019

A Partial Differential Equation Obstacle Problem for the Level Set Approach to Visibility

Adam Oberman, Tiago Salvador

In this article we consider the problem of finding the visibility set from a given point when the obstacles are represented as the level set of a given function. Although the visib…

cond-mat.mtrl-sci2019★ 4 cited

The Role of Surface Tension and Mobility Model in Simulations of Grain Growth

Tiago Salvador, Selim Esedoglu

We explore the effects of surface tension and mobility models in simulations of grain growth using threshold dynamics algorithms that allow performing large scale simulations, whil…

math.NA2018

A simplified threshold dynamics algorithm for isotropic surface energies

Tiago Salvador, Selim Esedoglu

We present a simplified version of the threshold dynamics algorithm given in the work of Esedoglu and Otto (2015). The new version still allows specifying N-choose-2 possibly disti…

math.NA2017

Higher-order Adaptive Finite Difference Methods for Fully Nonlinear Elliptic Equations

Brittany D. Froese, Tiago Salvador

We introduce generalised finite difference methods for solving fully nonlinear elliptic partial differential equations. Methods are based on piecewise Cartesian meshes augmented by…

math.NA2016

Numerical methods for motion of level sets by affine curvature

Adam M. Oberman, Tiago Salvador

We study numerical methods for the nonlinear partial differential equation that governs the motion of level sets by affine curvature. We show that standard finite difference scheme…

math.NA2015★ 1 cited

Numerical Methods for the 2-Hessian Elliptic Partial Differential Equation

Brittany D. Froese, Adam M. Oberman, Tiago Salvador

The elliptic 2-Hessian equation is a fully nonlinear partial differential equation (PDE) that is related to intrinsic curvature for three dimensional manifolds. We introduce two nu…

math.NA2014★ 23 cited

Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes

Adam M. Oberman, Tiago Salvador

We build a simple and general class of finite difference schemes for first order Hamilton-Jacobi (HJ) Partial Differential Equations. These filtered schemes are convergent to the u…